CARA PRAKTIS ANALISIS DAN PERANCANGAN BALOK DAN BALOK - KOLOM STRUKTUR BAJA TIPE WF DENGAN TABEL PROFIL YANG DIPERBAIKI BERDASARKAN SNI

CARA PRAKTIS ANALISIS DAN PERANCANGAN BALOK DAN BALOK - KOLOM STRUKTUR BAJA TIPE WF DENGAN TABEL PROFIL YANG DIPERBAIKI BERDASARKAN SNI 03 - 1729 - 2002 PROYEK AKHIR Diajukan kepada Fakultas Teknik Universitas Negeri Yogyakarta Untuk Memenuhi Sebagian Persyaratan Guna Memperoleh Gelar Ahli Madya

Disusun Oleh: SETYO UTOMO NIM. 09510131001

PROGRAM STUDI TEKNIK SIPIL FAKULTAS TEKNIK UNIVERSITAS NEGERI YOGYAKARTA 2012

LEMBAR PERSETUJUAN

PROYEK AKHIR

CARA PRAKTIS ANALISIS DAN PERANCANGAN BALOK DAN BALOK - KOLOM STRUKTUR BAJA TIPE WF DENGAN TABEL PROFIL YANG DIPERBAIKI BERDASARKAN SNI 03 - 1729 - 2002

Oleh :

SETYO UTOMO 09510131001

Telah diperiksa dan disetujui oleh pembimbing

Yogyakarta, 20 September 2012 Menyetujui, Pembimbing

Ir. Joko Sumiyanto, M.T. NIP. 19680207 199512 1 001 ii

LEMBAR PENGESAHAN PROYEK AKHIR CARA PRAKTIS ANALISIS DAN PERANCANGAN BALOK DAN BALOK - KOLOM STRUKTUR BAJA TIPE WF DENGAN TABEL PROFIL YANG DIPERBAIKI BERDASARKAN SNI 03 - 1729 - 2002 Dipersiapkan dan Disusun oleh: Nama :

Setyo Utomo

NIM

09510131001

:

Telah dipertahankan di depan Dewan Penguji Proyek Akhir FAKULTAS TEKNIK UNIVERSITAS NEGERI YOGYAKARTA Pada tanggal 2 Oktober 2012 Dan Dinyatakan Telah Memenuhi Syarat Guna Memperoleh Gelar Ahli Madya Susunan Panitia Penguji

Jabatan

Nama Lengkap dan Gelar

Tanda Tangan

1. Ketua / Pembimbing

Ir. Joko Sumiyanto, M.T.

a

b

2. Penguji Utama I

Drs. H. A. Manap, M.T.

a

b

3. Penguji Utama II

Slamet Widodo, S.T., M.T.

a

b

Yogyakarta, 08 September 2012 Fakultas Teknik Universitas Negeri Yogyakarta Dekan,

Dr. Moch. Bruri Triyono NIP. 19560216 198603 1 003

iii

SURAT PERNYATAAN ORISINALITAS

Yang bertanda tangan di bawah ini Nama

: Setyo Utomo

NIM

: 09510131001

Program Studi

: Teknik Sipil D3

Judul Proyek Akhir

: CARA PRAKTIS ANALISIS DAN PERANCANGAN BALOK DAN BALOK - KOLOM STRUKTUR BAJA TIPE WF DENGAN TABEL PROFIL YANG DIPERBAIKI BERDASARKAN SNI 03 - 1729 - 2002

Menyatakan bahwa proyek akhir ini adalah hasil pekerjaan saya sendiri dan sepanjang pengetahuan saya, tidak berisi materi yang ditulis orang lain sebagai persyaratan penyelesaian studi di Universitas Negeri Yogyakarta atau Perguruan Tinggi lain, kecuali secara tertulis diacu dalam naskah ini dan disebutkan dalam daftar pustaka.

Yogyakarta, 20 September 2012

Setyo Utomo

iv

MOTTO

Kegagalan adalah dimana disaat kita berhenti berusaha dan Kesuksesan adalah keberhasilan dalam memperjuangkan diri dari kegagalan. Orang yang sukses adalah orang yang bisa belajar dari kegagalan.

v

LEMBAR PERSEMBAHAN

Laporan proyek akhir ini penulis persembahkan kepada : 1.

Ibunda tercinta yang telah melahirkan dan membesarkanku dengan penuh kasih sayang serta senantiasa berdoa untuk keselamatan dan kebahagian penulis.

2.

Ayahanda yang telah merawat dan membesarkan dengan penuh kasih sayang serta senantiasa berdoa untuk keselamatan dan kebahagian penulis.

3.

Kakak tercinta yang selalu memberikan dukungan baik

moril

maupun

material sehingga membuat penulis menjadi seseorang yang lebih dewasa. 4.

Semua teman - teman Jurusan Pendidikan Teknik Sipil khususnya D3-R Teknik Sipil kelas C angkatan 2009.

5.

Semua pihak yang telah membantu penyelesaian Proyek Akhir ini.

vi

Cara Praktis Analisis dan Perancangan Balok dan Balok - Kolom Struktur Baja Tipe WF dengan Tabel Profil yang Diperbaiki Berdasarkan SNI 03 - 1729 - 2002 Oleh : Setyo Utomo NIM. 09510131001

ABSTRAK Analisis dan perancangan adalah dua pekerjaan yang dilakukan pada struktur baja. Proses analisis dan perancangan membutuhkan cara untuk mempercepat dan atau mempermudah. Proyek akhir ini bertujuan untuk mempercepat dan mempermudah pekerjaan analisis dan perancangan dengan cara melengkapi tabel profil Wide Flange Shapes yang telah ada disesuaikan dengan SNI 03 - 1729 2002. Analisis dan perancangan struktur baja bisa dilakukan secara grafis dengan nomogram dan atau dengan tabel profil. Sebagian tabel profil yang ada belum menunjukkan kesesuaian dengan SNI 03 - 1729 - 2002. Sehingga tabel profil tersebut perlu dilakukan penyempurnaan dengan menambah nilai Cx, Zx, Mn, Vn dan Nn. Selain penambahan nilai-nilai tersebut, pada proyek akhir ini juga dilakukan penggambaran grafik yang didasarkan atas nilai-nilai tersebut. Dari contoh hasil perhitungan analisis profil WF 12 x 10 – 86,31 didapatkan nilai Mn = 411,309 KNm ( perhitungan secara manual ), perhitungan dengan tabel didapatkan nilai Mn = 411,309 KNm dan perhitungan secara grafis didapatkan nilai Mn = 412 KNm. Hasil perbandingan nilai Mn secara manual (411,309 KNm) terhadap nilai Mn dengan tabel (411,309 KNm) diperoleh selisih 0 %. Sedangkan selisih perbandingan nilai Mn secara manual (411,309 KNm) terhadap Mn secara grafis (412 KNm) = 0,168 % dan perbandingan nilai Mn dengan tabel (411,309 KNm) terhadap Mn secara grafis (412 KNm) = 0,168 %.

Kata kunci : Analisis, Perancangan, Wide Flange Shapes, SNI, Nomogram, Tabel profil, Grafik

vii

KATA PENGANTAR

Alhamdulillahrobbil‟alamin, segala puji hanya milik Allah Subhanallahu wa Ta‟ala, Tuhan semesta alam. Hanya dengan limpahan rahmat, nikmat, karuniaNya sehingga penulis dapat menyelesaikan penulisan laporan proyek akhir ini. Sholawat dan salam semoga tetap tercurahkan kepada Nabi Muhammad Shalallahu „Alaihi Wassalam beserta keluarga, sahabat, dan umat yang senantiasa mengikutinya. Penulis menyadari bahwa terselesaikannya penulisan laporan ini tidak lepas dari dukungan semua pihak yang telah membantu. Pada kesempatan ini, penulis ingin menyampaikan terima kasih kepada semua pihak yang telah membantu penulis dalam menyelesaikan tugas laporan ini: 1. Bapak dan Ibu tercinta atas segala nasehat, do‟a kasih sayang yang diberikan kepada penulis dan pengorbanan yang telah dilakukan. 2. Ir. Joko Sumiyanto, M.T. selaku Dosen Pembimbing Proyek Akhir. 3. Semua teman - teman Jurusan Pendidikan Teknik Sipil khususnya D3R Teknik Sipil kelas C angkatan 2009. Terimakasih atas semuanya dan maaf atas semua kesalahan yang telah penulis lakukan. 4. Semua pihak yang telah membantu baik secara langsung atau tidak langsung dalam penyelesaian tugas ini. Pepatah mengatakan “Tak Ada Gading Yang Tak Retak”. Begitu pula dengan tugas laporan ini yang jauh dari kesempurnaan. Oleh karena itu, saran dan kritik yang sifatnya membangun sangat penulis harapkan. Akhirnya, semoga laporan ini dapat bermanfaat. Amin. Yogyakarta, 20 September 2012 Penulis,

(SETYO UTOMO)

viii

DAFTAR ISI HALAMAN JUDUL ...................................................................................... i LEMBAR PERSETUJUAN .......................................................................... ii LEMBAR PENGESAHAN ........................................................................... iii SURAT PERNYATAAN ORISINALITAS ................................................. iv MOTTO .......................................................................................................... v LEMBAR PERSEMBAHAN ........................................................................ vi ABSTRAK ...................................................................................................... vii KATA PENGANTAR .................................................................................... viii DAFTAR ISI ................................................................................................... ix DAFTAR GAMBAR ...................................................................................... xii DAFTAR TABEL .......................................................................................... xvi DAFTAR NOTASI ......................................................................................... xvii

BAB I PENDAHULUAN A.

Latar Belakang ........................................................................................ 1

B.

Identifikasi Masalah ................................................................................ 1

C.

Batasan Masalah...................................................................................... 2

D.

Rumusan Masalah ................................................................................... 2

E.

Tujuan ..................................................................................................... 2

F.

Manfaat ................................................................................................... 2

BAB II LANDASAN TEORI DAN KAJIAN PUSTAKA 1.

Landasan Teori ........................................................................................ 3 1.1 Balok ................................................................................................. 3 a. Pengertian balok .......................................................................... 3 b. Tegangan lentur dan momen plastis............................................ 4 c. Stabilitas ...................................................................................... 5 d. Klasifikasi bentuk profil .............................................................. 5 e. Kuat momen pada kategori kompak ........................................... 6

ix

f. Kuat lentur nominal dengan pengaruh tekuk lateral ................... 7 g. Pengekang lateral ........................................................................ 8 h. Kuat geser.................................................................................... 10 i. Lendutan ...................................................................................... 11 j. Interaksi geser dan lentur ............................................................ 11 k. Lentur biaksial ............................................................................. 12 l. Titik berat .................................................................................... 13 1.2 Balok-kolom a. Pengertian balok-kolom .............................................................. 14 b. Perencanaan akibat gaya tekan.................................................... 14 c. Daya dukung nominal komponen struktur tekan ........................ 15 d. Gaya tekuk elastis ....................................................................... 15 e. Komponen struktur dengan penampang simetris ........................ 15 f. Pembesaran momen .................................................................... 16 g. Web Local Buckling pada balok-kolom ...................................... 18 h. Komponen Struktur dengan bracing versus tanpa bracing ....... 19 i. Batang atau struktur tak bergoyang ( bracing ) .......................... 20 j. Batang atau struktur bergoyang ( tanpa bracing )....................... 23 2.

Kajian Pustaka......................................................................................... 25

BAB III PROSEDUR KAJIAN 1.

Klasifikasi Informasi yang Dibutuhkan Tabel Profil .............................. 26

2.

Diagram Flowchart ................................................................................. 29 a. Diagram flowchart analisis balok ..................................................... 29 b. Diagram flowchart perancangan balok ............................................. 31 c. Diagram flowchart analisis balok dengan tabel ................................ 33 d. Diagram flowchart analisis balok secara grafis ................................ 34 e. Diagram flowchart perancangan balok dengan tabel ........................ 35 f. Diagram flowchart perancangan balok secara grafis ........................ 36 g. Diagram flowchart analisis balok-kolom .......................................... 37 h. Diagram flowchart perancangan balok-kolom .................................. 40

x

i. Diagram flowchart analisis balok-kolom dengan tabel..................... 43 j. Diagram flowchart analisis balok-kolom secara grafis ..................... 46 k. Diagram flowchart perancangan balok-kolom dengan tabel ............ 48 l. Diagram flowchart perancangan balok-kolom secara grafis ............. 51

BAB IV CONTOH PERMASALAHAN DAN PEMBAHASAN 1.

Contoh Permasalahan pada Balok ........................................................... 53 1.1 Contoh perhitungan analisis secara manual ...................................... 53 1.2 Contoh perhitungan perancangan secara manual .............................. 57 1.3 Contoh perhitungan analisis secara praktis ....................................... 63 1.4 Contoh perhitungan perancangan secara praktis ............................... 68

2.

Contoh Permasalahan pada Balok-Kolom .............................................. 101 2.1 Contoh perhitungan analisis secara manual ...................................... 101 2.2 Contoh perhitungan perancangan secara manual .............................. 105 2.3 Contoh perhitungan analisis secara praktis ....................................... 113 2.4 Contoh perhitungan perancangan secara praktis ............................... 120

3.

Pembahasan ............................................................................................. 160

BAB V PENUTUP A.

Kesimpulan ............................................................................................. 162

B.

Saran ........................................................................................................ 162

DAFTAR PUSTAKA .................................................................................... 163 LAMPIRAN 1.

Lembar Konsultasi

2.

Tabel Profil Baja Berdasarkan SNI 03 - 1729 - 2002

xi

DAFTAR GAMBAR

Gambar 1.

Profil Baja Wide Flange Shapes .................................................... 3

Gambar 2.

Pembebanan pada balok................................................................. 4

Gambar 3.

Tegangan Lentur ............................................................................ 4

Gambar 4.

Momen Plastis................................................................................ 5

Gambar 5.

Spesifikasi profil Wide Flange Shapes .......................................... 5

Gambar 6.

Pertambatan Lateral ....................................................................... 7

Gambar 7.

Titik berat profil I .......................................................................... 13

Gambar 8.

Elemen struktur balok-kolom ........................................................ 14

Gambar 9.

Mekanisme terjadinya lendutan ..................................................... 16

Gambar 10. Faktor pembesaran momen ............................................................ 17 Gambar 11. Spesifikasi profil I .......................................................................... 18 Gambar 12. Momen sekunder struktur tak bergoyang ...................................... 20 Gambar 13. Kelengkungan tunggal ................................................................... 21 Gambar 14. Kelengkungan ganda...................................................................... 21 Gambar 15. Struktur dengan beban transversal ................................................. 22 Gambar 16. Struktur tanpa beban transversal .................................................... 22 Gambar 17. Momen sekunder struktur bergoyang ............................................ 23 Gambar 18. Struktur bergoyang ........................................................................ 23 Gambar 19. Mekanisme terjadinya lendutan struktur bergoyang ...................... 24 Gambar 20. Mekanisme goyangan portal dengan beban vertikal dan horizontal ................................................................................ 24 Gambar 21. Mekanisme goyangan portal dengan beban vertikal...................... 24 Gambar 22. Letak Centre of Gravity terhadap sumbu x .................................... 26 Gambar 23. Letak Centre of Gravity terhadap sumbu y .................................... 27 Gambar 24. Jarak antara pusat berat tekan dan tarik ......................................... 27 Gambar 25. Jarak antara pusat berat pada sumbu y........................................... 28 Gambar 26. Bagan alir analisis balok secara manual ........................................ 30 Gambar 27. Bagan alir peramcangan balok secara manual ............................... 32 Gambar 28. Bagan alir analisis balok dengan tabel ........................................... 33

xii

Gambar 29. Bagan alir analisis balok secara grafis ........................................... 34 Gambar 30. Bagan alir perancangan balok dengan tabel .................................. 35 Gambar 31. Bagan alir perancangan balok secara grafis ................................... 36 Gambar 32. Bagan alir analisis balok-kolom secara manual ............................. 39 Gambar 33. Bagan alir perancangan balok-kolom secara manual .................... 42 Gambar 34. Bagan alir analisis balok-kolom dengan tabel ............................... 45 Gambar 35. Bagan alir analisis balok-kolom secara grafis ............................... 47 Gambar 36. Bagan alir perancangan balok-kolom dengan tabel ....................... 50 Gambar 37. Bagan alir perancangan balok-kolom secara grafis ....................... 52 Gambar 38. Balok sederhana ............................................................................. 53 Gambar 39. Rancangan balok ............................................................................ 57 Gambar 40. Menentukan nilai Zx dan kekompakan profil WF 12 x 10 – 86,31 dengan tabel profil ........................................ 75 Gambar 41. Menentukan nilai Zx dan kekompakan profil WF 10 x 5 – 3/4 – 37,20 dengan tabel profil ................................. 76 Gambar 42. Menentukan nilai Zx dan kekompakan profil WF 8 x 8 – 99,71 dengan tabel profil ......................................................................... 77 Gambar 43. Menentukan nilai Mnx , Lp , Lr profil WF 12 x 10 – 86,31 dengan tabel profil ......................................................................... 78 Gambar 44. Menentukan nilai Mnx profil WF 10 x 5 – 3/4 – 37,20 dengan tabel profil ......................................................................... 79 Gambar 45. Menentukan nilai Mnx , Lp , Lr profil WF 8 x 8 – 99,71 dengan tabel profil ......................................................................... 80 Gambar 46. Menentukan nilai Mnx kondisi LTB profil WF 12 x 10 – 86,31 dengan tabel profil ......................................................................... 81 Gambar 47. Menentukan nilai Mnx kondisi LTB profil WF 8 x 8 -99,71 dengan tabel profil ......................................................................... 82 Gambar 48. Menentukan nilai Vn profil WF 12 x 10 – 86,31 dengan tabel profil ......................................................................... 83 Gambar 49. Menentukan nilai Vn profil WF 8 x 8 – 99,71 dengan tabel profil ......................................................................... 84

xiii

Gambar 50. Menentukan nilai Mnx profil WF 12 x 10 – 86,31 dengan grafik ................................................................................. 85 Gambar 51. Menentukan nilai Mnx profil WF 10 x 5 – 3/4 – 37,20 dengan grafik ................................................................................. 85 Gambar 52. Menentukan nilai Mnx profil WF 8 x 8 – 99,71 dengan grafik ................................................................................. 86 Gambar 53. Menentukan nilai Mnx Kondisi LTB profil WF 12 x 10 – 86,31 dengan grafik ................................................................................. 86 Gambar 54. Menentukan nilai Mnx Kondisi LTB profil WF 8 x 8 – 99,71 dengan grafik ................................................................................. 87 Gambar 55. Menentukan nilai Vn profil WF 12 x 10 – 86,31 dengan grafik ................................................................................. 87 Gambar 56. Menentukan nilai Vn profil WF 8 x 8 – 99,71 dengan grafik ........ 88 Gambar 57. Balok-kolom ujung sendi – sendi .................................................. 101 Gambar 58. Menentukan momen ...................................................................... 104 Gambar 59. Menentukan nilai Zx dan kekompakan profil WF 12 x 12 – 96,73 dengan tabel profil ........................................ 130 Gambar 60. Menentukan nilai Zx dan kekompakan profil WF 6 x 6 – 29,76 dengan tabel profil ........................................................................ 131 Gambar 61. Menentukan nilai Zx dan kekompakan profil WF 10 x 10 – 89,29 dengan tabel profil ........................................ 132 Gambar 62. Menentukan nilai Lp, Lr, Mnx profil WF 12 x 12 – 96,73 dengan tabel profil ......................................................................... 133 Gambar 63. Menentukan nilai Lp, Lr, Mnx profil WF 6 x 6 – 29,76 dengan tabel profil ......................................................................... 134 Gambar 64. Menentukan nilai Lp, Lr, Mnx profil WF 10 x 10 – 89,29 dengan tabel profil ......................................................................... 135 Gambar 65. Menentukan nilai Nn profil WF 12 x 12 – 96,73 dengan tabel profil ......................................................................... 136 Gambar 66. Menentukan nilai Nn profil WF 10 x 10 – 89,29 dengan tabel profil ......................................................................... 137

xiv

Gambar 67. Menentukan nilai Ncr dan Øb.Ny profil WF 12 x 12 – 96,73 dengan tabel profil ......................................................................... 138 Gambar 68. Menentukan nilai Ncr dan Øb.Ny profil WF 10 x 10 – 89,29 dengan tabel profil ........................................................................ 139 Gambar 69. Menentukan nilai Ncr dan Øb.Ny profil WF 6 x 6 – 29,76 dengan tabel profil ........................................................................ 140 Gambar 70. Menentukan Mn profil WF 12 x 12 – 96,73 dengan grafik............ 141 Gambar 71. Menentukan Mn profil WF 6 x 6 – 29,76 dengan grafik................ 141 Gambar 72. Menentukan Mn profil WF 10 x 10 – 89,29 dengan grafik............ 142 Gambar 73. Menentukan Nn profil WF 10 x 10 – 89,29 dengan grafik ............ 142 Gambar 74. Menentukan Nn profil WF 12 x 12 – 96,73 dengan grafik ............ 143 Gambar 75. Menentukan Ncrb profil WF 12 x 12 – 96,73 dengan grafik .......... 143 Gambar 76. Menentukan Ncrb profil WF 10 x 10 – 89,29 dengan grafik .......... 144

xv

DAFTAR TABEL

Tabel 1.1

Bentang untuk pengekang lateral ................................................... 9

Tabel 1.2

Batas lendutan maksimum ............................................................. 11

Tabel 1.3

Tabel perhitungan analisis balok struktur baja secara manual, grafis dan dengan tabel .................................................................. 89

Tabel 1.4

Tabel perhitungan perancangan balok struktur baja secara manual, grafis dan dengan tabel ......................................... 94

Tabel 1.5

Tabel perhitungan analisis balok-kolom struktur baja secara manual, grafis dan dengan tabel ......................................... 145

Tabel 1.6

Tabel perhitungan perancangan balok-kolom struktur baja secara manual, grafis dan dengan tabel ......................................... 151

xvi

DAFTAR NOTASI A

= Luas penampang total, mm2

a

= Jarak antara dua pengaku vertikal, mm

Ab

= Luas penampang bruto, mm2

Af

= Luas efektif pelat sayap, mm2

Ag

= Luas penampang kotor, mm2

C

= Jarak garis netral ke serat terluar, mm

Cw

= Konstanta pilin / warping, mm6

Cb

= Koefisien pengali momen tekuk torsi lateral

Cx

= Centre of gravity sumbu X, mm

Cy

= Centre of gravity sumbu Y, mm

cm

= Koefisien lentur kolom

df

= Jarak antara titik berat pelat-pelat sayap, mm

E

= Modulus elastis baja, MPa

f

= Tegangan, MPa

fcr

= Tegangan kritis penampang tertekan, MPa

fr

= Tegangan sisa, MPa

fy

= Tegangan luluh baja, MPa

G

= Modulus geser baja, MPa

Ix

= Momen inersia terhadap sumbu X, mm4

Iy

= momen inersia pengaku terhadap muka pelat badan, mm4

Iw

= Konstanta puntir lengkung, mm6

J

= Konstanta puntir (momen inersia puntir), mm4

K

= Faktor panjang efektif

L

= Panjang bentang antara 2 pengekang yang berdekatan, mm

Lb

= panjang tanpa pertambatan, mm

M

= Momen, Nmm

Mn

= Kuat lentur nominal , Nmm

Mu

= Momen lentur perlu, Nmm

Mp

= Momen lentur yang menyebabkan seluruh penampang mengalami

xvii

tegangan leleh, Nmm Mmax = Momen maksimum pada bentang yang ditinjau, Nmm MA = Momen pada 1/4 bentang, Nmm MB

= Momen pada 1/2 bentang, Nmm

MC

= Momen pada 3/4 bentang, Nmm

Mcr = Momen kritis terhadap tekuk torsional lateral, Nmm Mf

= Kuat lentur nominal dihitung hanya dengan pelat sayap saja, Nmm

M1

= Momen ujung yang terkecil, Nmm

M2

= Momen ujung yang terbesar, Nmm

My

= Momen luluh, Nmm

Nu

= Beban aksial terfaktor, N

Nn

= Kuat aksial nominal komponen struktur, N

Ncrb = Beban kritis elastis untuk komponen struktur tak bergoyang, N ry

= jari-jari girasi terhadap sumbu lemah, mm

Sx

= Modulus tampang / momen lembam, mm3

Vn

= Kuat geser nominal pelat badan, N

Vu

= Geser maksimum terfaktor, N

Y

= Letak garis netral ke titik yang ditinjau, mm

Z

= Modulus tampang plastis, mm3

Øb

= Faktor reduksi kuat lentur

Øk

= Faktor reduksi kuat aksial tekan

λ

= Kelangsingan

λp

= Batas maksimum untuk penampang kompak

λr

= Batas maksimum untuk penampang tak-kompak

λc

= Parameter kelangsingan batang tekan

ω

= Faktor tekuk

xviii

BAB I PENDAHULUAN A. Latar Belakang Analisis dan perancangan adalah dua pekerjaan yang dilakukan pada struktur baja. Struktur baja yang dipakai harus aman terhadap beban luar dan berat sendiri. Untuk melakukan analisis maupun perancangan dibutuhkan kecermatan

ataupun

ketelitian

agar

hasil

dari

perhitungan

tidak

membahayakan. Kesalahan sedikit saja dalam perhitungan akan berakibat fatal terhadap bangunan yang akan dipakai. Di era yang semakin modern ini, semakin banyak peralatan maupun software-software

komputer

yang

membantu

mempermudah

dalam

melakukan perhitungan khususnya dalam melakukan analisis maupun perancangan. Tetapi kecanggihan software tersebut terasa tidak ada manfaatnya jika tidak bisa menggunakan secara optimal. Sibarani, DRI (2011) melakukan kajian pada profil T, sedangkan pada kajian ini difokuskan pada profil I. Selain itu prinsip-prinsip perhitungan pada kajian sebelumnya difokuskan pada perhitungan balok-kolom sehingga nilai-nilai yang dibutuhkan pada tabel profilpun juga berbeda. Sedangkan pada kajian ini dasar-dasar perhitungan didasarkan pada balok dan balokkolom. Oleh karena itu, kajian ini dilakukan untuk membuat tabel profil sederhana dan mudah digunakan

dalam perhitungan analisis maupun

perancangan struktur baja. Kajian ini dilakukan untuk melengkapi dari tabel profil yang dibuat oleh Ir. Rudy Gunawan dan disesuaikan dengan SNI 031729-2002. Dengan adanya kajian analisis dan perancangan struktur baja secara praktis ini, diharapkan dapat membantu kemudahan dalam hitungan. B. Identifikasi Masalah Berdasarkan dengan judul kajian ini, maka masalahnya dapat diidentifikasikan sebagai berikut: 1) Analisis dan perancangan pada umumnya membutuhkan waktu yang agak lama. 2) Pada tabel profil

1

2

sebelumnya belum terdapat Cx, Zx, Mn, sehingga hal ini dapat memperlama dan mempersulit dalam analisis maupun perancangan. C. Batasan Masalah Kajian ini dilakukan untuk melengkapi tabel profil dari yang sebelumnya, sehingga lebih lengkap untuk digunakan. Kajian yang akan dilakukan dibatasi pada: 1) Profil Wide Flange Shapes. 2) Perhitungan secara praktis dilakukan dengan tabel dan secara grafis. 3) Analisis dilakukan untuk mengetahui tingkat kekuatan balok dan balok-kolom. 4) Perhitungan dilakukan pada bentang-bentang yang sering digunakan di lapangan. 5) Perhitungan didasarkan pada persamaan uniaxial pada sumbu kuat dan tumpuan sendi-sendi. D. Rumusan Masalah Kajian ini dilakukan untuk mengetahui beberapa hal: 1) Bagaimana cara merancang komponen baja khususnya balok dan balok-kolom secara praktis dan cepat. 2) Bagaimana hasil dari perhitungan analisis dan perancangan secara praktis

jika dibandingkan

dengan

perhitungan

analisis

dan

perancangan secara manual. 3) Bagaimana penerapan perhitungan secara praktis dalam kehidupan sehari-hari. E. Tujuan Tujuan dilakukan kajiaan ini antara lain: 1) Melengkapi tabel profil Wide Flange Shapes. 2) Mengetahui tingkat kekuatan balok dan balok-kolom jika menggunakan profil Wide Flange Shapes. 3) Mengetahui perbandingan perhitungan analisis dan perancangan secara praktis versus perhitungan analisis dan perancangan secara manual. F. Manfaat Manfaat dilakukan kajian ini antara lain: 1) Memudahkan engineer dalam merancang bangunan dengan struktur baja. 2) Memudahkan mahasiswa khususnya mahasiswa teknik sipil ketika menganalisis balok dan balok-kolom. 3) Meminimalisir terjadinya kesalahan dalam perhitungan.

BAB II LANDASAN TEORI DAN KAJIAN PUSTAKA

1.

Landasan Teori

1.1 Balok A. Pengertian Balok Balok adalah komponen struktur yang mendukung beban transversal, beban lentur atau momen. Balok disebut balok-kolom jika terdapat beban aksial. Pada kondisi tertentu beban aksial ada yang diabaikan sehingga tetap sebagai balok.

Gambar 1. Profil Baja Wide Flange Shapes Hubungan antara pengaruh beban luar dan kekuatan: Mu ≤ Ø Mn dimana, Mux ≤ Ø Mnx dan Muy ≤ Ø Mny ............................... (1) Batasan momen 1.

Momen leleh My adalah momen lentur yang menyebabkan penampang mulai mengalami tegangan leleh yaitu diambil sama dengan fy.S dan S adalah modulus penampang elastis yang ditentukan menurut Butir 8.2.1(d) ( SNI 03-1729-2002 ).

2.

Kuat lentur plastis Mp momen lentur yang menyebabkan seluruh penampang mengalami tegangan leleh harus diambil yang lebih kecil dari fy.Z atau 1,5.My, dan Z adalah modulus penampang plastis yang ditentukan dalam 8.2.1(d) ( SNI 03-1729-2002 ).

3.

Momen batas tekuk M, diambil sama dengan S(fy-fr) dan fr adalah tegangan sisa.

3

4

4.

Perhitungan modulus penampang elastis dan plastis harus dilakukan secermat mungkin dengan memperhitungkan adanya lubang-lubang, perbedaan tegangan leleh pada penampang hibrida, letak pelat tarik dan tekan, dan arah/sumbu lentur yang ditinjau sedemikian sehingga kuat momen yang dihasilkan berada dalam batas-batas ketelitian yang dapat diterima.

B. Tegangan Lentur dan Momen Plastis

Gambar 2. Pembebanan pada balok

Gambar 3. Tegangan Lentur Dari mekanika bahan tegangan pada titik yang ditinjau dapat dihitung dengan rumus: fb =

M. y ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (2) Ix

Tegangan akan maksimum jika ymaks, maka : fmaks =

M. c M = ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (3) Ix Sx

Dari persamaan (2) dan (3) di atas valid selama beban kecil ( batas linier elastis ) pada struktur baja fmax ≤ fy, sehingga My = fy.Sx Analisis struktur yang didasarkan pada pertimbangan mekanisme runtuh disebut analisis plastis.

5

Gambar 4. Momen Plastis Mp = fy.Ac.a Mp = fy.Z ................................................................................................. (4) C. Stabilitas Jika balok dapat dihitung pada keadaan stabil pada kondisi plastis penuh, maka kekuatan momen nominal dapat diambil sebagai kapasitas momen plastis. Mn = Mp atau Mn < Mp Beberapa evaluasi stabilitas 1. Lateral Torsional Buckling (LTB) 2. Flange Local Buckling (FLB) 3. Web Local Buckling (WLB) D. Klasifikasi Bentuk Profil Klasifikasi bentuk tampang ( kelangsingan penampang ) 1)

Kompak ( λ ≤ λp )

Gambar 5. Spesifikasi profil Wide Flange Shapes

6

Sayap λ=

b 170 ≤ λp = t fy

Badan λ=

h 1680 ≤ λp = tw fy

Mn = Mp ......................................................................................... (5) 2) Non Kompak ( λp < λ ≤ λr ) Sayap λp =

170 fy

<λ=

b ≤ λr = t

370 fy − fr

Badan λ=

h 1680 2550 < λp = ≤ λr = tw fy fy

M n = Mp − Mp − Mr

λ − λp λr − λp

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (6)

3) Slender / langsing ( λ > λr ) Sayap λ=

b > λr = t

370 fy − fr

Badan λ=

h 2550 > λr = tw fy

M n = Mr

λr

2

λ

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (7)

E. Kuat Momen pada Kategori Kompak Keruntuhan balok bisa disebabkan 2 hal : 1.

Mencapai momen plastis dan menjadi plastis penuh.

2.

Tekuk / buckling yang disebabkan oleh : a. Lateral Torsional Buckling (LTB)

7

b. Flange Local Buckling (FLB) c. Web Local Buckling (WLB) 3.

Jika tegangan lentur maksimum < batas limit ketika buckling terjadi (gagal elastis).

4.

Jika tegangan lentur maksimum > batas limit ( gagal inelastis ). Pada analisis struktur baja, langkah pertama adalah mengkategorikan

profil sebagai kompak, non kompak, atau langsing. Kemudian menentukan momen tahanan yang didasarkan pada tingkat dukungan lateral. Ada 2 tipe profil : a.

Hot rolled I dan H-shape - x dan y

b.

Kanal C – Shear dan puntir

F. Kuat Lentur Nominal dengan Pengaruh Tekuk Lateral Kuat momen pada bentuk kompak merupakan fungsi panjang tak ada pertambahan Lb, yang didefinisikan sebagai jarak antara titik-titik pada dukungan lateral atau pertambatan.

Gambar 6. Pertambatan Lateral Persamaan untuk teori elastis kuat tekuk puntir lateral dapat diperoleh dalam teori stabilitas elastis. π Mn = Lb

πE E Iy G J + Lb

2

Iy Cw … … … … … … … … … … … … … … … … . (8)

Kuat momen nominal pada balok kompak untuk kondisi batas atas Mp untuk inelastis maka momen kritis untuk tekuk lateral. Profil I dan kanal ganda

8

π

Mcr = Cb L E Iy G J +

πE 2 L

Iy Iw ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (9)

Profil kotak pejal atau berongga

Mcr = 2 Cb E

JA L/ry

Cb =

12,5 Mmax ≤ 2,3 … … … … … … … … … … … . (11) + 3MA + 4MB + 3MC

J=

2,5 Mmax

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (10)

2(bf t 3 ) ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (12) 3

Iy h2 Iw = 2 2

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (13)

G. Pengekang Lateral Kuat momen lentur tergantung dari panjang bentang antara 2 pengekang yang berdekatan. Batas-batas bentang pengekang lateral ditentukan dalam SNI tabel 8.3-2. Batas – batas tersebut dapat dilihat pada tabel 1.1 berikut ini :

9

Tabel 1.1 Bentang untuk pengekang lateral ( SNI 03-1729-2002 Tabel 8.3-2 ) Profil

Lp

Profil – I dan kanal ganda 1,76. ry

Lr E fy

x1 fL

1 + 1 + x2 . fL 2 dengan

fL = fy − fr

dengan ry =

ry

Iy A

x1 =

π Sx

adalah jari-jari girasi terhadap sumbu lemah

x2 = 4

EGJA 2 Sx GJ

2

Iw Iy

Iw adalah konstanta puntir lengkung J adalah konstanta puntir torsi

Profil kotak pejal atau berongga

0,13Ery

JA Mp

2Ery

JA Mr

Berdasarkan penjelasan diatas SNI 03-1729-2002, memberikan 3 kondisi bentang : 1)

Bentang pendek Untuk komponen struktur yang memenuhi L ≤ Lp kuat nominal komponen struktur terhadap momen lentur adalah Mn = Mp .........................................................................................(14)

2)

Bentang menengah Untuk komponen struktur yang memenuhi Lp < L < Lr , kuat nominal komponen struktur terhadap momen lentur adalah Mn = Cb Mr + Mp − Mr

3)

Bentang panjang

Lr − L ≤ Mp ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (15) Lr − Lp

10

Untuk komponen struktur yang memenuhi Lr ≤ L , kuat nominal komponen struktur terhadap lentur adalah Mn = Mcr ≤ Mp

........................................................................... (16)

H. Kuat Geser Kuat geser pada badan pelat badan yang memiliki gaya geser perlu (Vu) harus memenuhi Vu ≤ Ø Vn ( butir 8.8-1 SNI 03-1729-2002 ). a)

Jika perbandingan maksimum tinggi terhadap tebal panel (h/tw) Kn E h ≤ 1,10 tw fy 5

Kn = 5 +

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (17)

2

a

h

1) Vn = 0.6 fy Aw .......................................................................... (18) 2) Vn = 0.36 fy Ae (untuk penampang pipa) .................................. (19) b) 1,10

Kn E

h

Kn E

w

fy

≤ t ≤ 1,37

fy

Vn = 0,6 fy A w 1,10

Kn E tw ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (20) fy h

atau Kn E fy

1,10 Cv =

c)

h tw

h

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (21) tw

≥ 1,37

Vn =

Kn E fy

0,9A w K n E h

2

tw

atau

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (22)

11

Vn = 0,6 fy A w Cv +

Cv =

I.

Kn E 1 fy h tw

2

(1 − Cv ) a 1,15 1 + h

2

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (23)

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (24)

Lendutan Batas-batas lendutan untuk keadaan kemampuan layan batas harus sesuai dengan struktur, fungsi penggunaan, sifat pembebanan, serta elemenelemen yang didukung oleh struktur tersebut. Batas lendutan maksimum diberikan dalam Tabel 1.2. Tabel 1.2 Batas lendutan maksimum ( SNI 03-1729-2002 Tabel 6.4-1) Komponen struktur dengan beban tidak

Beban tetap

terfaktor

Beban sementara

Balok pemikul dinding atau finishing yang

L/360

-

Balok biasa

L/240

-

Kolom dengan analisis orde pertama saja

h/500

h/200

Kolom dengan analisis orde kedua

h/300

h/200

getas

5 WL4 δ= ≤ δmaks 384 E I J.

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (25)

Interaksi Geser dan Lentur 1). Metode distribusi Jika momen lentur dianggap dipikul hanya oleh pelat sayap dan momen lentur perlu ( Mu ) memenuhi, Mu ≤ Ø Mf Mf = Af.df.fy ........................................................................................(26) Vu ≤ Ø Vn sesuai butir 8.8.2 ( SNI 03-1729-2002 ) 2). Metode interaksi geser dan lentur

12

Jika momen lentur dipikul seluruh penampang harus sesuai dengan butir 8.1.1 ( SNI 03-1729-2002 ) Mux ≤ Ø Mnx Vu ≤ Ø Vn Dan harus sesuai Mu Vu + 0,625 ≤ 1,375 ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (27) ØMn ØVn K. Lentur Biaksial ( Dua Arah) Terjadi ketika beban yang bekerja mengakibatkan lentur ke arah sumbu kuat dan sumbu lemah. Contoh pada elemen gording atap ( lihat butir 8.1.1 dan 8.1.2 SNI 03-1729-2002 ). a.

Lentur terhadap sumbu X (kuat) Mux ≤ Ø Mnx atau Mux ≤ 1,0 ØMnx

b.

Lentur terhadap sumbu Y (lemah) Muy ≤ Ø Mny atau Muy ≤ 1,0 ØMny Jika lentur arah X dan Y bekerja bersama maka: Muy Mux + ≤ 1,0 ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (28) ØMnx ØMny Apabila ada gaya aksial (tekan) maka: 1. untuk Nu < 0,2 ØNn Muy Nu Mux + + ≤ 1,0 ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (29) 2Øk Nn Øb Mnx Øb Mny

13

2. untuk Nu ≥ 0,2 ØNn Muy Nu 8 Mux + + ≤ 1,0 ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (30) Øk Nn 9 Øb Mnx Øb Mny

L. Titik Berat Seperti diketahui setiap benda padat terdiri atas partikel-partikel, tiap partikel memiliki massa. Dengan demikian semua partikel juga memiliki berat. Arah gaya berat menuju pusat bumi, itu berarti pada benda bekerja gaya sejajar dengan arah sama. Titik berat seluruh benda dapat dikatakan sebagai titik rangkap resultan semua gaya berat yang bekerja pada tiap bagian benda tersebut. Untuk mementukan koordinat titik berat sehingga digunakan persamaan berikut:

Gambar 7. Titik berat profil I

X=

A1 . X1 + A2 . X2 + A3 . X3 A1 + A2 + A3

Y=

A1 . Y1 + A2 . Y2 + A3 . Y3 A1 + A2 + A3

14

1.2 Balok-Kolom A. Pengertian balok-kolom Balok-kolom merupakan elemen struktur aksial (tekan atau tarik) atau aksial + lentur. Jika lentur dan aksial memiliki pengaruh yang signifikan maka batang tersebut disebut balok-kolom (beam-columns).

Gambar 8. Elemen struktur balok-kolom a. Batang AB menahan beban terbagi rata ( Wu1 ) dan P1. b. Batang CD lebih kritis karena menahan beban Wu2 dan ( P1+P2 ). c. Batang ED merupakan batang tarik. Batang gemuk atau tidak langsing f=

P ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (31) A

Batang langsing Pcr =

π2 EI Euler L2

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (32)

Persamaan Euler didasarkan pada kedua ujung batang adalah sendi. B. Perencanaan akibat gaya tekan Suatu komponen struktur yang mengalami gaya tekan konsentris akibat beban terfaktor, Nu , harus memenuhi persyaratan berikut: 1) Nu ≤ Øk Nn ................................................................................ (33) 2) Perbandingan kelangsingan

15

a. Kelangsingan elemen penampang < λr b. Kelangsingan komponen struktur tekan, λ =( Lk / r ) < 200 3) Komponen struktur tekan yang elemen penampangnya mempunyai perbandinagn lebar terhadap tebal lebih besar daripada nilai λr. C. Daya dukung nominal komponen struktur tekan Untuk penampang yang mempunyai perbandinagn lebar terhadap tebalnya lebih kecil daripada nilai λr , daya dukung nominal komponen struktur tekan dihitung sebagai berikut: Nn = Ag . fcr = Ag .

fy ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (34) ω

untuk λc ≤ 0,25

maka ω = 1

untuk 0,25 < λc < 1,2

maka ω = 1,6−0,67.λ

untuk λc ≥ 1,2

1,43

maka ω = 1,25.λc

c

2

D. Gaya tekuk elastis Gaya tekuk elastis komponen struktur ( Ncr ) ditetapkan sebagai berikut : Ncr =

Ab . fy λc 2

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (35)

dengan parameter kelangsingan kolom, λc ditetapkan sebagai berikut: λc =

1 Lk π r

fy ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (36) E

degan Lk = Kc . L E. Komponen struktur dengan penampang simetris 1. Nu / Øk Nn > 0,2 Muy Nu 8 Mux + + ≤ 1,0 ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (37) Øk Nn 9 Øb Mnx Øb Mny 2. Nu / Øk Nn < 0,2 Muy Nu Mux + + ≤ 1,0 ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (38) 2Øk Nn Øb Mnx Øb Mny

16

F. Pembesaran momen

Gambar 9. Mekanisme terjadinya lendutan Penjelasan gambar 1.

O titik tertentu.

2.

Di titik O terjadi momen akibat w dan tambahan momen ( P.y ).

3.

Momen sekunder ( P.y ) terbesar pada lendutan terbesar ( δ ).

4.

Total momen = ( w.L2/8 ) + ( P.δ )

5.

Total lendutan tidak dapat diperoleh langsung karena merupakan masalah Non Linier. Jika lendutan tidak diketahui maka momen sekunder tidak dapat dihitung.

6.

Metode analisis struktur yang umum melendut secara geometris berdasarkan metode orde-1, maka untuk lendutan karena orde-2 didapat dengan cara numerika ( program komputer ).

7.

Kebanyakan peraturan perancangan sekarang mengizinkan penggunaan analisis orde-2 dengan metode pembesaran momen yang dihitung dengan maksimum bending momen hasil dari lentur yang didapat dari analisis orde-1 dikalikan dengan faktor pembesaran.

17

Gambar 10. Faktor pembesaran momen a. Lendutan awal sembarang titik didekati dengan yo = e. sin

πx ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (39) L

b. Hubungan kelengkungan momen d2 y M = − dx 2 EI Dari gambar M = Pu ( yo + y ) πx d2 y −Pu (e. sin L + y) = dx 2 EI d2 y Pu −Pu . e πx + y= sin 2 dx EI EI L

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (40)

Pada x = 0 , y = 0 dan x = L , y = 0 lendutan = 0 Sehingga y = B sin

πx L

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (41)

dengan B merupakan konstanta. Substitusi persamaan (24) ke persamaan (23) π2 πx Pu πx Pu . e πx B. sin + B. sin =− sin 2 L L EI L EI L Penyelesaian untuk B −

B=

−Pu . e/EI −e e = = 2 2 Pu π π EI Pe −1 1− EI − L2 Pu L2 Pu

18

dimana , Pe = π2.EI/L2 Jadi y=

e Pe Pu − 1

sin

πx L

Mu = Pu ( yo + y ) Mu = Pu e. sin

πx e πx + sin L Pe − 1 L Pu

Momen maksimum terjadi di x=L/2 Mmaks = Pu e +

e Pe Pu − 1

= Pu . e 1 +

= Mo

1 Pe Pu − 1

1 P 1 − Pu e

Faktor pembesaran momen =

1 P 1− u

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (42)

Pe

G. Web Local Buckling pada balok-kolom Penentuan pada momen rencana mensyaratkan bahwa luas tampang dicek kekompakannya. Bagian badan kompak untuk semua profil selama tidak ada gaya aksial. Jika ada beban aksial maka ketentuan tersebut bisa tidak berlaku. Nilai banding antara h dan tw λ = h/tw )

Gambar 11. Spesifikasi profil I

19

h = d - 2.Cx Ny = Ag . fy ........................................................................................................... (43) λp = λp = λr =

1680 fy 500 fy 2550 fy

1−

2,75. Nu Øb Ny

2,33 − 1−

untuk

Nu ≤ 0,125 Øb Ny

Nu 665 Nu ≥ untuk ≥ 0,125 Øb Ny Øb Ny fy

0,74. Nu Øb Ny

1) λ ≤ λp maka badan kompak 2) λp < λ ≤ λr maka badan non kompak 3) λ > λr maka badan langsing H. Komponen Struktur dengan bracing versus tanpa bracing Analisis orde-1, perubahan geometri struktur dan perubahan kekakuan komponen struktur akibat gaya aksial diabaikan. Pengaruh ini terhadap momen lentur yang didapat dari analisis orde-1 perlu dihitung dengan menggunakan metode amplifikasi momen. Untuk komponen struktur tak bergoyang ( bracing ) tanpa gaya aksial atau komponen struktur tak bergoyang dengan gaya aksial tarik, momen lentur terfaktor ( Mu ) dihitung sebagai berikut: Mu = Mntu Untuk komponen struktur tak bergoyang (bracing ) dengan gaya aksial tekan terfaktor ( Nu ) yang berasal dari analisis orde-1, momen lentur terfaktor ( Mu ) dihitung sebagai berikut: Mu = δb . Mntu Dua faktor amplifikasi yang digunakan pada LRFD 1.

Memperhitungkan hasil pembesaran momen dari lendutan elemen struktur.

2.

Memperhitungkan hasil pembesaran momen dari efek goyangan pada batang struktur tanpa bracing.

20

Gambar 12. Momen sekunder struktur tak bergoyang Penjelasan gambar a) Batang ditahan goyang ke samping. b) Maksimum momen sekunder = P. δ c) Momen sekunder yang menyebabkan goyangan = P. ∆ Untuk mengaproksimasi 2 efek di atas, 2 faktor amplifikasi δ1 dan δ2. Pembesaran momen yang digunakan dalam perencanaan dihitung dari momen dan beban terfaktor. Mu = δb . Mntu+ δs .Mltu ................................................................................... (44) I.

Batang atau struktur tak bergoyang ( bracing ) 1. Faktor

pembesaran

yang

diberikan

dengan

persamaan

1 P 1 − Pu e

didapatkan dari batang bracing yang tidak ada goyangan ke samping dan dari ujung-ujungnya tidak bergerak.

21

Gambar 13. Kelengkungan tunggal

Gambar 14. Kelengkungan ganda 2. Tergantung besarnya Nu, momen pembesaran dapat terjadi ≥ atau ≤ momen ujung. 3. Mmaks pada balok-kolom tergantung pada distribusi momen lentur dalam batang. cm δb = ≥ 1,0 P 1 − Pu e

22

δb =

cm ≥ 1,0 ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (45) N 1−N u crb

Ncrb

π2 EAg = , k ≤ 1 ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (46) (K. L/r)2

4. Faktor cm Evaluasi faktor cm hanya digunakan pada struktur dengan bracing. Ada dua kategori sebagai berikut : a. Kategori pertama 1. Batang atau struktur dengan beban transversal bekerja di antara 2 ujungnya.

Gambar 15. Struktur dengan beban transversal Cm = 0,6 – 0,4.βm ≤ 1,0 ...................................................... (47) βm = M1 / M2 < 1,0 2. Batang atau struktur tanpa beban.

Gambar 16. Struktur tanpa beban transversal cm = 1 untuk komponen struktur dengan ujung-ujung sederhana cm = 0,85 umtuk komponen struktur dengan ujung-ujung kaku

23

b. Untuk hasil yang lebih baik dari kategori kedua ( AISC ) memberikan cm = 1 + ᴪ ᴪ= J.

Nu Ncr

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (48)

π2 . δo . E. I −1 Mo . L

Batang atau struktur bergoyang ( tanpa bracing ) Pada balok-kolom yang memiliki ujung-ujung bebas bergerak, momen utama maksimum dari goyangan selalu terjadi di satu ujungnya. 1. Momen sekunder karena goyangan selalu di ujung B. 2. cm = 1,0 ( reduksi cm kecil dan diabaikan )

Gambar 17. Momen sekunder struktur bergoyang

Gambar 18. Struktur bergoyang ( tanpa bracing ) Momen-momen ujung sama yang disebakan oleh goyangan dari beban horizontal dan beban aksial yang mana bisa secara parsial hasil dari beban-beban yang tidak menyebabkan goyangan akan memperbesar momen. Faktor pembesaran momen untuk momen-momen yang bergoyang δs diberikan 2 kategori:

24

δs =

1

⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (49) ∆oh 1 − ΣNu HL 1 δs = ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (50) ΣNu 1 − ΣN crs

Gambar 19. Mekanisme terjadinya lendutan struktur bergoyang

Gambar 20. Mekanisme goyangan portal dengan beban vertikal dan horizontal

Gambar 21. Mekanisme goyangan portal dengan beban vertikal

25

2.

Kajian Pustaka Sibarani, DRI (2011) melakukan kajian pada profil T dengan menggunakan dasar-dasar perhitungan balok-kolom, sedangkan pada kajian ini difokuskan pada profil I dengan dasar-dasar perhitungan balok dan balok-kolom. Hasil dari kajian Sibarani, DRI (2011) terdapat nilai-nilai seperti centre of gravity (Cx dan Cy), kuat lentur nominal (Mn), modulus of plastis (Zx dan Zy), cek kekompakan, parameter kelangsingan (λc), faktor tekuk (ω), kuat aksial nominal (Nn), beban kritis elastis komponen tak bergoyang (Ncrb), konstanta puntir torsi (J), konstanta puntir lengkung (Iw), sehingga dapat mempercepat dalam perhitungan balok-kolom. Selain itu perhitungan yang dilakukan berdasarkan interaksi biaksial, sehingga dapat digunakan pada sumbu kuat ataupun sumbu lemah. Pada tabel profil Gunawan, Rudy (1987) belum terdapat nilai-nilai yang dapat mempercepat dalam hitungan seperti centre of gravity (Cx dan Cy), kuat lentur nominal (Mn), modulus of plastis (Zx dan Zy), parameter kelangsingan (λc), faktor tekuk (ω), kuat aksial nominal (Nn). Kelebihan tabel profil Gunawan, Rudy (1987) ini adalah satuan-satuan yang digunakan lebih lengkap. Pada kajian ini akan dibuat tabel profil yang lebih lengkap dari yang sebelumnya. Parameter-parameter yang ada di dalam kajian ini antara lain: centre of gravity (Cx dan Cy), modulus of plastis (Zx dan Zy), cek kekompakan, kuat lentur nominal (Mn), kuat geser nominal (Vn), kuat aksial nominal (Nn), beban kritis elastis komponen tak bergoyang (Ncrb), konstanta puntir torsi (J), konstanta puntir lengkung (Iw), panjang bentang maksimum yang mampu menerima momen plastis (Lp), panjang bentang minimum untuk momen tekuk torsi lateral (Lr).

BAB III PROSEDUR KAJIAN

1.

Klasifikasi Informasi yang Dibutuhkan Tabel Profil Dalam suatu analisis maupun perancangan, tabel profil merupakan benda yang dapat membantu bahkan mempercepat dalam melakukan analisis maupun perancangan. Karena di dalam tabel profil sudah terdapat beberapa hal yang dibutuhkan dalam analisis maupun perancangan. Akan tetapi tidak semua hal yang dibutuhkan sudah ada dalam tabel profil, sehingga harus mencari atau menghitung data itu sendiri. Merujuk pada tabel profil Ir. Rudy Gunawan, di sana belum terdapat perhitungan-perhitungan yang dapat mempercepat dalam menganalisis maupun merancang, seperti nilai Cx , Zx , Mn , Cek kekompakan. Untuk itu diperlukan kajian untuk melengkapi nilai-nilai yang belum terdapat dalam tabel profil. a.

Centre of Gravity Nilai dari Centre of Gravity pada baja profil setengah I dapat dihitung dengan persamaan berikut:

Gambar 22. Letak Centre of Gravity terhadap sumbu x t d B. t. 2 + 2 − t t w CX =

d 2 − t + t + 2(1 − π)r 2 0,2234. r + t 2 4

d π B. t + 2 − t t w + 2(1 − 4)r 2

26

⋯ ⋯ ⋯ (51)

27

Gambar 23. Letak Centre of Gravity terhadap sumbu y B t t π t B. t. 4 + 2w d − 2t 4w + 2 1 − 4 r 2 0,2234. r + 2w Cy = t π B. t + 2w d − 2t + 2(1 − 4)r 2 b.

⋯ ⋯ ⋯ (52)

Modulus penampang plastis (Z)

Nilai dari modulus penampang plastis dapat dihitung dengan persamaan sebagai berikut:

Gambar 24. Jarak antara pusat berat tekan dan tarik Zx =

A . a ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (53) 2 x

28

Gambar 25. Jarak antar pusat berat pada sumbu y A . a ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ (54) 2 y Momen plastis (Mp) Zy =

c.

Nilai dari momen platis dapat dihitung dengan persamaan sebagai berikut: Mpx = Zx.fy .................................................................................... (55) Mpy = Zy.fy

................................................................................... (56)

29

2. Diagram Flowchart a. Diagram Flowchart Analisis Balok Secara Manual Mulai

Data fy, Fr, L, WD, WL, G, Es Spesifikasi profil baja

Tidak

Z x  1,5.S x

Ya

Zx  1,5.Sx

Tidak λp  λ  λ r

λr 

b 170 λ   λp  t fy

Tidak λ  λr

370

λr 

f y f r

Ya

Profil NonKompak

Mn  Mp  (Mp  Mr )

λ  λp λr  λp

Profil Kompak

370 f y f r

Profil Langsing 2

Mn  Mp  f y .Zx

Mn

Mr  (f y  f r )Sx

FLB

Mu  ØMn

λ  M   λ r

r

Tidak

Ya L  Lp

Tidak

Lp  1,76.ry

E fy

Tidak

Lp  L  Lr

Lr  L

x 2 Lr  ry 1 1  1  x 2 .f L fL

x 2 Lr  ry 1 1  1  x 2 .f L fL

B2

Ya B1

B3

A

30

B2

B1

B3

A

Bentang Menengah

Bentang Pendek

Bentang Panjang

M n  Cb Mr  Mp  Mr  Lr  L   M p Lr  Lp  


Mn  Mcr  Mp 2

Mcr  Cb

LTB

 π.E  I .I π E.Iy.G.J   yw L L 



Tidak

Mu  ØMn

Geser

Vu  ØVn

Tidak

Ya

Lendutan

δ  δ maks

Tidak

Ya Aman

Selesai

Gambar 26. Bagan alir analisis balok secara manual

Tidak Aman

31

b. Diagram Flowchart Perancangan Balok Secara Manual Mulai Data fy, fr, L, WL, WD, G, Es δ maks

Sx 

Mu Ø 1,5.f y

Pilih Profil Baja

Tidak

Z x  1,5.S x

Ya

Zx  1,5.Sx

Tidak

b 170 λ   λp  t f

Profil Baja diperbesar

Tidak

y

λ  λr

λp  λ  λr

λr 

λr 

370 f y f r

Profil NonKompak


Ya

Profil Kompak

Profil Langsing


370 f y f r

2



D

Mn

λ  M   λ r

r

C

32

D C FLB Mu  ØMn

Tidak

Ya L  Lp

Tidak

Lp  1,76.ry

E fy

Tidak

Lp  L  Lr

Lr  ry

x1 2 1  1  x 2 .f L fL

Bentang Menengah


Lr  L

Ya

x 2 Lr  ry 1 1  1  x2 .fL fL

Bentang Pendek

Bentang Panjang

Mn  Mcr  Mp


2

 π.E  I .I π Mcr  Cb E.Iy.G.J   y w L L 

LTB Mu  ØMn

Geser

Tidak

Tidak

Vu  ØVn Ya

Lendutan

Tidak

δ  δ maks Ya Aman

Selesai

Gambar 27. Bagan alir perancangan balok secara manual



33

c. Diagram Flowchart Analisis Balok dengan Tabel Mulai Data fy, L, WD, WL, Spesifikasi profil baja

Tidak

Zx  1,5.Sx

Z x  1,5.S x Z x lihat dari tabel

Ya

Lihat kekompakan profil dari tabel

FLB M u  Ø.Mn

Tidak

Mn lihat dari tabel

Ya LTB

M u  Ø.Mn

Tidak

Mn lihat dari tabel

Ya Geser

Vu  ØVn

Tidak

Vn lihat dari tabel

Ya

Lendutan

δ  δ maks

Tidak

Ya Aman

Selesai

Gambar 28. Bagan alir analisis balok dengan tabel

Tidak Aman

34

d. Diagram Flowchart Analisis Balok Secara Grafis Mulai Data fy, L, WD, WL, Profil yang dianalisis

FLB M u  Ø.Mn

Tidak

Mn lihat dari grafik

Ya LTB

M u  Ø.Mn

Tidak

Mn lihat dari grafik

Ya Geser

Vu  ØVn

Tidak

Vn lihat dari grafik

Ya

Lendutan

δ  δ maks

Tidak

Ya Aman

Selesai

Gambar 29. Bagan alir analisis balok secara grafis

Tidak Aman

35

e. Diagram Flowchart Perancangan Balok dengan Tabel Mulai Data fy, L, WD, WL, Spesifikasi profil baja δ maks

Sx 

Mu Ø 1,5.f y

Pilih Profil Baja

Tidak

Zx  1,5.Sx


Ya

Lihat kekompakan profil dari tabel

FLB M u  Ø.Mn

Tidak

Mn lihat dari tabel


Ya LTB

M u  Ø.Mn

Tidak

Mn lihat dari tabel

Ya Geser

Vu  ØVn

Tidak

Vn lihat dari tabel

Ya

Lendutan

δ  δ maks

Tidak

Ya Aman

Selesai

Gambar 30. Bagan alir perancangan balok dengan tabel

36

f. Diagram Flowchart Perancangan Balok Secara Grafis Mulai Data fy, L, WD, WL, Spesifikasi profil baja δ maks

Sx 

Mu Ø 1,5.f y

Pilih Profil Baja

FLB M u  Ø.Mn

Tidak

M n lihat dari grafik

Ya LTB

M u  Ø.Mn

Tidak

M n lihat dari grafik

Ya Geser

Vu  ØVn

Tidak

Vn lihat dari grafik

Ya

Lendutan

δ  δ maks

Tidak

Ya Aman

Selesai

Gambar 31. Bagan alir perancangan balok secara grafis


37

g. Diagram Flowchart Analisis Balok-Kolom Secara Manual Mulai Data fy, fr, L, Nu, kc, G, Es, Spesifikasi profil baja

Tidak

Z x  1,5.S x

Ya

Zx  1,5.Sx

λ  λp

Sayap b λ t

λp 

170 fy

Badan λ 

Tidak λp 

Nu 500  2 ,33  Ø b .N f y 

λp 

y

h tw

 665   fy 

1680  2,75.N u 1 Ø b .N y f y 

untuk

Nu Ø b .N

Tidak  0 ,125 y

  untuk N u  0,125  Ø b .N y 

N y  A g .f y

λp  λ  λr

λ  λr Sayap

Sayap λr 

f

370 f y

λr 

2550 fy

370 f y

r

r

Badan

Badan λr 

f

  1  0,74.N u  Ø b .N y 

   

Profil NonKompak


λr 

Ya

Profil Kompak λ  λp λr  λp

2550 fy

  1  0,74.N u  Ø b .N y 

Profil Langsing 2

λ   λ


Mn  Mr 


r

FLB

Mu  ØMn

B

Tidak

A

   

38

B

A Ya

L  Lp Tidak

Tidak

E fy

Lp  1,76.ry

Lr  L x1 2 Lr  ry 1  1  x 2 .f L fL

Lp  L  Lr

x 2 Lr  ry 1 1  1 x2 .fL fL

Ya

Bentang Menengah

Bentang Pendek



Bentang Panjang

Mn  Mcr  Mp 2

 π.E  I .I π Mcr  Cb E.Iy.G.J   yw L L 

LTB



Tidak

Mu  ØMn Ya

Tidak

c m  0,6  0,4

cm  1,0

M1  1,0 M2

Ya

b 

cm N 1 u N crb

N crb  0 ,6  0 , 4

C

 2 .E.A g  k c .L     rx 

2

D

39

C

Tidak

D

Faktor pembesaran

 b  1, 0 Ya

Mu   b .Mntu  s .Mltu

 b  1,0

c 

Tidak 0,25  c  1,2



fy

1 Lx

 ry

E

Tidak

 c  0 , 25

Ya

 1

1,43 1,6  0,6.c

  1, 25 . c 2

N u  0, 2 Ø .N k n

Nn  Ag.

 c  1, 2

Tidak

fy



Ya

Tidak

N u  8  Mux  Muy   1,0 Ø .N 9  Øb.Mnx Øb.Mny  k n

Ya Tidak Aman

N u 2.Ø .N k n

 Mux Muy    1,0    Ø .M  Ø b nx b .Mny  

Tidak

Ya

Aman Selesai

Gambar 32. Bagan alir analisis balok-kolom secara manual

Tidak Aman

40

h. Diagram Flowchart Perancangan Balok-Kolom Secara Manual

Mulai Data fy, fr, L, Nu, kc, G, Es, Mu Spesifikasi profil baja

Sx 

Mu Ø 1,5.f y

Pilih Profil Baja

Tidak

Z x  1,5.S x

Ya

Zx  1,5.Sx



λ  λp

Sayap b λ t

λp  λ

Tidak λp 

Nu 500  2 ,33  Ø b .N y f y 

λp 

170

Badan

fy

h tw

 665   fy 

1680  2,75.N u 1 Ø b .N y f y 

untuk

Tidak

Nu  0 ,125 Ø b .N y

  untuk N u  0,125  Ø b .N y 

Ny 1 A g .f y

λp  λ  λ r

λ  λr Sayap

Sayap λr 

370 f y f

λr 

2550 fy

  1  0,74.N u  Ø b .N y 

Profil NonKompak Mn  Mp  (Mp  Mr )


   

Ya

Profil Kompak Mn  Mp  f y.Zx


D

r

Badan

Badan λr 

370 f y f

r

B

λr 

2550 fy

  1  0,74.N u  Ø b .N y 

   

Profil Langsing 2

λ   λ

Mn  Mr 

r

A

41

B

A

FLB

Tidak

Mu  ØMn Ya L  Lp

Tidak

Tidak

E fy

Lp  1,76.ry

Lr  L x1 2 Lr  ry 1  1  x 2 .f L fL

Lp  L  Lr x 2 Lr  ry 1 1  1 x2 .fL fL

Ya

Bentang Panjang

Bentang Pendek

Bentang Menengah


Mn  Mcr  Mp


2

Mcr  Cb

LTB

Tidak

Mu  ØMn Ya

Tidak

c m  0,6  0,4

cm  1,0

M1  1,0 M2

Ya

b 

cm N 1 u N crb

N crb  0 ,6  0 , 4

C

 2 .E.A g  k c .L     rx 

2

 π.E  I .I π E.Iy.G.J   yw L L 



42

C

D

Tidak

A

Faktor pembesaran

 b  1, 0 Ya

 b  1,0


c 

Tidak 0,25  c  1,2



1,43 1,6  0,6.c

fy

1 Lx

 ry

E

 c  0 , 25

Tidak

Ya  1

  1, 25 . c 2

N u  0, 2 Ø .N k n

Nn  Ag.

 c  1, 2

Tidak

fy



Ya

Tidak


Ya

N u 2.Ø .N k n

 Mux Muy    1,0    Ø .M   b nx Øb.Mny 

Ya

Aman Selesai

Gambar 33. Bagan alir perancangan balok-kolom secara manual

Tidak

43

i. Diagram Flowchart Analisis Balok-Kolom dengan Tabel Mulai

Data fy, fr, L, Nu, kc, G, Es, Mu Spesifikasi profil baja

Z x  1,5.S x

Tidak

Z x lihat dari tabel

Zx  1,5.Sx

Ya λ  λp

Sayap Lihat dari tabel Badan

λ 

Tidak

λp 

500 fy

  2 , 33  N u  Ø b .N 

λp 

y

h tw

   665  fy 

untuk

Nu Ø b .N

 0 ,125

Tidak

y

1680  2,75.N u  Nu 1 untuk  0,125 Ø b .N y  Ø b .N y f y  Ø b .N y lihat dari tabel

λ  λr

λp  λ  λr

Sayap

Sayap

Lihat dari tabel

Lihat dari tabel

Badan 2550 λr  fy

Badan

  1  0,74.N u  Ø b .N y 

   

Profil NonKompak


2550  0,74.N u  λr  1 Ø b .N y  f y 

Ya

Profil Kompak λ  λp λr  λp

Profil Langsing 2


Mn


FLB

Mu  ØMn

B

λ  M   λ r

r

Tidak

A

44

B

A Ya

L  Lp Tidak

L p Lihat dari tabel

Tidak

Lr  L

Lp  L  Lr

L r Lihat dari tabel

L r Lihat dari tabel Ya

Bentang Menengah

Bentang Pendek



Bentang Panjang

Mn  Mcr  Mp 2

 π.E  I .I π Mcr  Cb E.Iy.G.J   yw L L 

LTB

Mu  ØMn



Tidak

Ya

Tidak

c m  0,6  0,4

cm  1,0

M1  1,0 M2

Ya

b 

cm N 1 u N crb

N crb Lihat dari tabel

C

D

45

C

Tidak

D

Faktor pembesaran

 b  1, 0 Ya

 b  1,0


N u  0, 2 Ø .N k n

Tidak

N n Lihat dari tabel

Ya

Tidak


Ya Tidak Aman

N u 2.Ø .N k n


Tidak

Ya

Aman Selesai

Gambar 34. Bagan alir analisis balok-kolom dengan tabel

Tidak Aman

46

j. Diagram Flowchart Analisis Balok-Kolom Secara Grafis Mulai

Data fy, fr, L, Nu, kc, G, Es, Mu Spesifikasi profil baja

Tidak

FLB

Mu  ØMn Ya

L  Lp Tidak

Tidak

E fy

Lp  1,76.ry

Lp  L  Lr

Lr  L

x 2 Lr  ry 1 1  1  x2 .fL fL

x 2 Lr  ry 1 1  1  x2 .fL fL

Ya

Bentang Panjang

Bentang Menengah

Bentang Pendek



Mn  Mcr  Mp 2

Mcr  Cb

LTB

 π.E  I .I π E.Iy.G.J   y w L L 



Tidak

Mu  ØMn Ya

Tidak

c m  0,6  0,4

cm  1,0

M1  1,0 M2

Ya

b 

cm Nu 1 N crb

N crb  0 ,6  0 , 4

A

 2 .E.A g  k c .L     rx 

2

B

47

A

Tidak

B

Faktor pembesaran

 b  1, 0 Ya

 b  1,0


N u  0, 2 Ø .N k n

Tidak

N n Lihat dari grafik

Ya

Tidak


Ya Tidak Aman

N u 2.Ø .N k n


Tidak

Ya

Aman Selesai

Gambar 35. Bagan alir analisis balok-kolom secara grafis

Tidak Aman

48

k. Diagram Flowchart Perancangan Balok-Kolom dengan Tabel Mulai Data fy, fr, L, Nu, kc, G, Es, Mu Spesifikasi profil baja

Sx 

Mu Ø 1,5.f y

Pilih Profil Baja

Tidak


Ya

Zx  1,5.Sx



λ  λp Sayap lihat dari tabel

Badan λ 

Tidak λp 

500 fy

  2 , 33  N u  Ø b .N y 

λp 

λp  λ  λ r

h tw

 665   fy 

1680  2,75.N u 1 Ø b .N y f y 

Øb .N y lihat dari tabel

λ  λr

Sayap lihat dari tabel

lihat dari tabel

Badan

Badan 2550  0,74.N u  λr  1 Ø b .N y  f y 

Profil NonKompak λ  λp λr  λp

Ya

Profil Kompak Mn  Mp  f y.Zx


D

Nu  0 ,125 Ø b .N y

  untuk N u  0,125  Ø b .N y 

Sayap


Tidak untuk

B

2550  0,74.N u  λr  1 Ø b .N y  f y 

Profil Langsing 2

λ   λ

Mn  Mr 

r

A

49

B

A

FLB

Tidak

Mu  ØMn Ya L  Lp

Tidak

E fy

Lp  1,76.ry

Tidak

Lr  L x1 2 Lr  ry 1  1  x 2 .f L fL

Lp  L  Lr x 2 Lr  ry 1 1  1 x2 .fL fL

Ya

Bentang Panjang

Bentang Pendek

Bentang Menengah


2

Mcr  Cb

LTB

Mu  ØMn Ya

Tidak

Mn  Mcr  Mp


c m  0,6  0,4

cm  1,0

M1  1,0 M2

Ya

b 

cm N 1 u N crb

N crb lihat dari tabel

C

Tidak

 π.E  I .I π E.Iy.G.J   yw L L 



50

C

D

Tidak

A

Faktor pembesaran

 b  1, 0 Ya

 b  1,0


N u  0, 2 Ø .N k n

Tidak

N n lihat dari tabel

Ya

Tidak


Ya

N u 2.Ø .N k n

 Mux Muy    1,0    Ø .M  Ø b .Mny   b nx

Ya

Aman Selesai

Gambar 36. Bagan alir perancangan balok-kolom dengan tabel

Tidak

51

l. Diagram Flowchart Perancangan Balok-Kolom Secara Grafis Mulai Data fy, fr, L, Nu, kc, G, Es, Mu Spesifikasi profil baja

Sx 

Mu Ø 1,5.f y

Pilih Profil Baja

Tidak

FLB



Mu  ØMn Ya

L  Lp Tidak

Tidak

E fy

Lp  1,76.ry

Lr  L

Lp  L  Lr

Lr  ry

x 2 Lr  ry 1 1  1  x2 .fL fL

Ya

x1 2 1  1  x 2 .f L fL Bentang Panjang

Bentang Menengah

Bentang Pendek



Mn  Mcr  Mp 2

Mcr  Cb

LTB

 π.E  I .I π E.Iy.G.J   yw L L 



Tidak

Mu  ØMn Ya

Tidak

c m  0,6  0,4

cm  1,0

M1  1,0 M2

Ya

b 

cm Nu 1 N crb

N crb  0 ,6  0 , 4

C

B

 2 .E.A g  k c .L     rx 

2

A

52

B

C

Tidak

A

Faktor pembesaran

 b  1, 0 Ya

 b  1,0


N u  0, 2 Ø .N k n

Tidak

N n Lihat dari grafik

Ya

Tidak


Ya

N u 2.Ø .N k n

 Mux Muy    1,0    Ø .M   b nx Øb.Mny 

Ya

Aman Selesai

Gambar 37. Bagan alir perancangan balok-kolom secara grafis

Tidak

53

BAB IV CONTOH PERMASALAHAN DAN PEMBAHASAN 1.

Contoh Permasalahan pada Balok

1.1 Contoh Perhitungan Analisis Secara Manual Balok sederhana ( sendi – rol ) bentang 9 m dengan beban sebagai berikut: beban mati WD = 3 KN/m’ dan beban hidup WL = 8 KN/m’. Digunakan baja profil WF 12 x 10 – 86,31 mutu baja BJ 50, cek profil tersebut.

WF 12 x 10 – 86,31

Gambar 38. Balok sederhana Penyelesaian: 1) Data analisis : L

=9m

WD = 3 KN/m’

WL = 8 KN/m’

Dari SNI 03 - 1729 - 2002 didapat: Baja BJ 50

fy = 290 MPa

Es = 2 x 105 MPa G

fr = 70 MPa

4

= 8 x 10 MPa

Momen terfaktor Wu = 1,2 WD + 1,6 WL = 1,2 x 3 + 1,6 x 8 = 16,4 KN/m’ Mu = 1/8 Wu L2 = 1/8 x 16,4 x 92 = 166,05 KNm Spesifikasi profil WF 12 x 10 – 86,31

53

54

d

= 310mm

A

= 11010 mm2

B

= 254 mm

Ix

= 164,2 x 106 mm4

t

= 16,28 mm

Sx

= 1280000 mm3

tw

= 9,12 mm

ry

= 63,8 mm

2) Cek Zx terhadap Sx 310 − 16,28 16,28 310 π 254x16,28x 2 + 2 − 16,28 9,12 2 2 + 16,28 + 2x 1 − 4 x15,22 0,2234x15,2 + 16,28 CX =

310 π 254x16,28 + 2 − 16,28 9,12 + 2x 1 − 4 x15,22

Cx = 26,18 mm = ½ A . a = ½ x 11010 x ( 310 – 2 x 26,18 )

Zx

= 1418308,20 mm3 Zx 1418308,20 = = 1,108 < 1,5 Sx 1280000

Oke

3) Cek kekompakan profil WF 12 x 10 – 86,31 (cek λ terhadap λp dan λr) λ=

b 127 = = 7,8 t 16,28

λp =

170

λr =

fy

=

370 fy − fr

λ < λp

170 290 =

= 9,9827

370 220

= 24,9454

profil kompak

4) Cek kapasitas berdasarkan Flange Local Buckling Mn = M p

= 290 x 1418308,20 x 10-6

55

= 411,309 KNm ØMn = 0,9 x 411,309 = 370,189 KNm Sehingga kuat rencana berdasarkan FLB Ø Mn = 370,178 KNm > Mu = 166,05 KNm 5) Cek kapasitas berdasarkan Local Torsional Buckling E = 2948,827 mm fy

Lp = 1,76. ry

fL = 220 MPa Iw =

Iy h2 = 7,419 x 1011 2 2

2(B. t 3 ) J= = 730643,7 mm4 3

x1 =

π Sx

EGJA = 19689,35 2

Sx x2 = 4 GJ

Lr = ry

2

Iw = 3,18 x 10−5 Iy

x1 1 + 1 + x2 . fL 2 = 9196,216 mm fL

Lp < L < Lr Bentang menengah 6) Kuat Lentur Nominal pada kondisi Local Torsional Buckling Mn = Cb Mr + Mp − Mr

Lr − L ≤ Mp Lr − Lp

56

Simple beam Cb = 1,14 Mr = ( fy - fr ) Sx = ( 290-70) 1280000 x 10-6 = 281,6 KNm Mn = 325,668 KNm < Mp = 411,309 KNm Sehingga kontrol LTB Ø Mn = 0,9 x 325,668 = 293,101 KNm > Mu = 166,05 KNm Sehingga kuat lentur nominal memenuhi ( aman). 7) Geser a) Menghitung gaya geser terfaktor Wu = 1,2 WD + 1,6 WL = 1,2 x 3 + 1,6 x 8 = 16,4 KN/m’ Vu = ½ Wu L = ½ x 16,4 x 9 = 73,8 KN b) Cek nilai banding h dan tw h 310 − 2 x 16,28 = = 30,42 tw 9,12 Kn = 5 +

1,10

5 a

2

h

=5+

5 12000

2

= 5,0047

312

Kn E 5,0034 x 2 x 105 = 1,10 = 64,624 fy 290

h Kn E = 30,42 < 1,10 = 64,624 tw fy Maka Vn = 0,6 fy Aw = 0,6 x 290 x 9,12 (310 - 2 x 16,48)

57

= 440,264 KN Ø Vn = 0,9 x 440,264 = 396,238 KN > Vu = 73,8 KN ( aman) 8) Lendutan Dari mekanika bahan lendutan: 5 WL4 δ= 384 E I δ=

5 (3 + 8)90004 = 23,707 mm 384 2 x 105 164,2 x 106

δmaks =

L 9000 = = 37,5 mm > δ = 23,707 mm ( aman ) 240 240

Berdasarkan pada perhitungan dari no 1-8 profil WF 12 x 10 – 86,31 mutu baja BJ 50 aman digunakan. 1.2 Contoh Perhitungan Perancangan Secara Manual WL = 8,5 KN/m’

Gambar 39. Rancangan balok Sebuah balok sederhana seperti gambar di atas akan direncanakan dengan mutu baja BJ 50 dan memiliki lendutan maksimum L/240. Hitunglah dimensi batang A-B! Penyelesaian: 1.

Data : L = 9 m

WL = 8,5 KN/m’

Dari SNI 03 - 1729 - 2002 didapat:

58

Baja BJ 50

fy

= 290 MPa

Es = 2 x 105 MPa

G

= 8 x 104 MPa

fr

δmaks = L/240

= 70 MPa

Diperkirakan berat sendiri balok AB = 1,7 KN/m’ Wu

= 1,2 WD + 1,6 WL = 1,2 x 1,7 + 1,6 x 8,5 = 15,64 KN/m’

Mu

= 1/8 Wu L2 = 1/8 x 15,64 x 92 = 158,355 KNm

2) Diasumsikan balok bertipe kompak Mn = Mp = Zx.fy ≤ 1,5 My Zx ≤ 1,5 Sx Dari Ø Mn ≥ Mu Ø Zx.fy ≥ Mu Ø1,5.Sx.fy ≥ Mu Mu 158,355 x 106 Sx ≥ = Ø1,5. fy 0,9 x 1,5 x 290 Sx = 404,483 cm3 Dipilih profil dengan Sx ≥ 404,483 cm3 Dicoba profil WF 10 x 5 - 3/4 - 37,20

59

Spesifikasi profil WF 10 x 5 - 3/4 - 37,20 Sx

= 432,7 cm3

t = 10,92 mm

A

= 47,4 cm2

tw = 6,40 mm

Ix

= 5545 cm4

r = 8,12 mm

d

= 256 mm

ry = 33,3 mm

B

= 146 mm


256 π 146x10,92 + 2 − 10,92 6,40 + 2x 1 − 4 x8,122

Cx = 25,76 mm = 256 – 2 x 25,76

a

= 204,48 mm Zx

= ½ x 4740 x 204,48 = 484617,6 mm3

Zx 484617,6 = = 1,119 < 1,5 Oke Sx 432700 4) Cek kekompakan profil λ=

b = 6,68 t

λp =

170 fy

= 9,98

60

Karena λ < λp maka profil WF 10 x 5 - 3/4 - 37,20 dengan BJ 50 kompak, sehingga anggapan awal benar. 5) Cek kapasitas berdasarkan Flange Local Buckling Mn = Mp = Zx . fy = 484617,6 x 290 x 10-6 = 140,539 KNm Ø Mn = 0,9 x 140,539 = 126,485 KNm < Mu = 158,355 KNm Sehingga profil harus diperbesar 2) Dicoba profil 8 x 8 – 99,71 Spesifikasi profil WF 8 x 8 – 99,71 Sx

= 990 cm3

t = 23,7 mm

A

= 127,1 cm2

tw = 14,61 mm

Ix

= 11310 cm4

r = 10,2 mm

d

= 229 mm

ry = 53,8 mm

B

= 210 mm

3) Cek Zx terhadap Sx 229 − 23,7 23,7 229 π 210x23,7x 2 + 2 − 23,7 14,61 2 2 + 23,7 + 2x(1 − 4)x10,22 0,2234x10,2 + 23,7 CX =

a

229 π 210x23,7 + 2 − 23,7 14,61 + 2x(1 − 4)x10,22 = 229 – 2 x 23,91 = 181,1742 mm

= 23,91 mm

61

Zx

= ½ x 12710 x 181,1742 = 1151398,9 mm3

Zx 1151398,9 = = 1,163 < 1,5 Oke Sx 990000 4) Cek kekompakan profil λ=

b = 4,43 t

λp =

170 fy

= 9,98

Karena λ < λp maka profil WF 8 x 8 – 99,71 dengan BJ 50 kompak, sehingga anggapan awal benar. 5) Cek kapasitas berdasarkan Flange Local Buckling Mn = Mp = Zx . fy = 1151398,9 x 290 x 10-6 = 333,906 KNm Ø Mn = 0,9 x 333,906 = 300,515 KNm > Mu

OK

6) Cek kapasitas berdasarkan Lateral Torsional Buckling

Lp = 1,76. ry

J=

E = 2486,6287 mm fy

2(B. t 3 ) = 1863687,42 mm4 3

Iy h2 Iw = = 3,026 x 1011 mm6 2 2

62

x1 =

π Sx

EGJA = 43683,6565 2

Sx x2 = 4 GJ

Lr = ry

2

Iw = 1,447 x 10−6 Iy

x1 1 + 1 + x2 . fL 2 = 15237,026 mm fL

Sehingga didapatkan Lp< L
Lr − L ≤ Mp Lr − L p 15237,026 − 9000 ≤ Mp 15237,026 − 2486,6287

Mn = 1,14 217,8 + 333,905 − 217,8

Mn = 313,038 KNm ≤ Mp = 333,906 KNm Ø Mn = 0,9 x 313,038 = 281,734 KNm > Mu

OK

8) Cek geser a) Menghitung gaya geser terfaktor Wu = 1,2 WD + 1,6 WL = 1,2 x 1,7 + 1,6 x 8,5 = 15,64 KN/m’ Vu = ½ Wu L = ½ x 15,64 x 9 = 70,38 KN b) Mencari nilai Vn h 229 − 2 x 23,7 = = 12,429 tw 14,61 Kn = 5 +

5 a

2

h

=5+

5 9000

2

181,6

= 5,002

63

1,10

Kn E fy

= 1,10

5,002 x 2 x 10 5 290

= 64,60

h Kn E = 12,429 < 1,10 = 64,60 tw fy Vn = 0,6.fy.Aw = 0,6 x 290 x 14,61 x 181,6 = 461,65 KN Ø Vn = 0,9 x 461,65 = 415,48 KN > Vu

OK

9) Cek lendutan W = 0,997 + 8,5 = 9,497 kN/m’ δ=

5. W. L4 5 x 9,497 x 90004 = = 35,86 mm 384. E. I 384 x 2 x 105 x 11,31x107

δmaks =

L 9000 = = 37,5 mm 240 240

Karena δ < δmaks, maka profil ini aman terhadap lendutan.

Dari

perhitungan no 1- 9, terlihat bahwa profil WF 8 x 8 – 99,71 memenuhi syarat atau aman digunakan sebagai balok AB. 1.3 Contoh Perhitungan Analisis Secara Praktis a.

Perhitungan analisis dengan tabel profil Balok sederhana ( sendi – rol ) bentang 9 m dengan beban sebagai berikut: beban mati WD = 3 KN/m’ dan beban hidup WL = 8 KN/m’. Digunakan baja profil WF 12 x 10 – 86,31 mutu baja BJ 50, cek profil tersebut.

64

WF 12 x 10 – 86,31

Gambar 38. Balok sederhana Penyelesaian: 1.

Data analisis : L

=9m

WD = 3 KN/m’

WL = 8 KN/m’


fy = 290 MPa

Es = 2 x 105 MPa

fr = 70 MPa

G

= 8 x 104 MPa

Momen terfaktor Wu = 1,2 WD + 1,6 WL = 1,2 x 3 + 1,6 x 8 = 16,4 KN/m’ Mu = 1/8 Wu L2 = 1/8 x 16,4 x 92 = 166,05 KNm Profil yang dianalisis WF 12 x 10 – 86,31 2.

Cek Zx terhadap Sx Dengan melihat pada tabel profil halaman 75 didapat nilai Zx = 1418308,20 mm3 Zx 1418308,20 = = 1,108 < 1,5 Sx 1280000

3.

Cek kekompakan profil

Oke

65

Dari tabel profil halaman 75 terlihat bahwa profil WF 12 x 10 – 86,31 kompak. 4.

Cek kapasitas berdasarkan keadaan batas FLB Dari tabel profil halaman 78 didapat nilai Mn = 411,309 KNm Sehingga Ø Mn = 0,9 x 411,309 = 370,178 KNm > Mu = 166,05 KNm

5.

Cek kapasitas berdasarkan kondisi batas LTB Dari tabel profil halaman 78 didapat Lp = 2948,827 mm Lr = 9196,216 mm Lp < L < Lr Dari tabel profil halaman 81 didapat Kuat Lentur Nominal kondisi LTB Mn = 325,668 KNm < Mp = 411,309 KNm Sehingga kontrol LTB Ø Mn = 0,9 x 325,668 = 293,101 KNm > Mu = 166,05 KNm Sehingga kuat lentur nominal memenuhi (aman).

6.

Geser a) Menghitung gaya geser terfaktor Wu = 1,2 WD + 1,6 WL = 1,2 x 3 + 1,6 x 8 = 16,4 KN/m’ Vu = ½ Wu L = ½ x 16,4 x 9 = 73,8 KN b) Mencari nilai Vn Dari tabel profil halaman 83 didapat nilai Vn = 440,26 KN

66

Sehingga ØVn = 0,9 x 440,26 = 396,234 KN > Vu = 73,8 KN (aman) 7.

Lendutan δ=

5 (3 + 8)90004 = 23,707 mm 384 2 x 105 164,2 x 106

δmaks =

L 9000 = = 37,5 mm > δ = 23,707 mm ( aman ) 240 240

Berdasarkan pada perhitungan dari no 1-7 profil WF 12 x 10 – 86,31 mutu baja BJ 50 aman digunakan. b.

Perhitungan analisis secara grafis Balok sederhana ( sendi – rol ) bentang 9 m dengan beban sebagai berikut: beban mati WD = 3 KN/m’ dan beban hidup WL = 8 KN/m’. Digunakan baja profil WF 12 x 10 – 86,31 mutu baja BJ 50, cek profil tersebut.

WF 12 x 10 – 86,31

Gambar 38. Balok sederhana Penyelesaian: 1.

Data analisis : L

=9m

WD = 3 KN/m’

WL = 8 KN/m’


fy = 290 MPa

67

Es = 2 x 105 MPa G

fr = 70 MPa

4

= 8 x 10 MPa

Momen terfaktor Wu = 1,2 WD + 1,6 WL = 1,2 x 3 + 1,6 x 8 = 16,4 KN/m’ Mu = 1/8 Wu L2 = 1/8 x 16,4 x 92 = 166,05 KNm Profil yang di analisis WF 12 x 10 – 86,31 2.

Cek kapasitas berdasarkan keadaan batas FLB Dari grafik halaman 85 didapat nilai Mn = 412 KNm Sehingga ØMn = 0,9 x 412 = 370,8 KNm > Mu = 166,05 KNm

3.

Cek kapasitas berdasarkan kondisi batas LTB Dari grafik halaman 86 didapat Mn = 330 KNm < Mp = 411,309 KNm Sehingga kontrol LTB Ø Mn = 0,9 x 330 = 297 KNm > Mu = 166,05 KNm

4.

Geser a) Menghitung gaya geser terfaktor Wu = 1,2 WD + 1,6 WL = 1,2 x 3 + 1,6 x 8 = 16,4 KN/m’ Vu = ½ Wu L = ½ x 16,4 x 9 = 73,8 KN b) Mencari nilai Vn Dari grafik halaman 87 didapat nilai Vn = 440 KN Sehingga ØVn = 0,9 x 440 = 396 KN > Vu = 73,8 KN ( aman)

5.

Lendutan

68

δ=

5 (3 + 8)90004 = 23,707 mm 384 2 x 105 164,2 x 106

δmaks =

L 9000 = = 37,5 mm > δ = 23,707 mm ( aman ) 240 240

Berdasarkan pada perhitungan dari no 1-5 profil WF 12 x 10 – 86,31 mutu baja BJ 50 aman digunakan. 1.4 Contoh Perhitungan Perancangan Secara Praktis a.

Perhitungan perancangan dengan tabel profil Sebuah balok sederhana seperti gambar di atas akan direncanakan dengan mutu baja BJ 50 dan memiliki lendutan maksimum L/240. Hitunglah dimensi batang A-B! WL = 8,5 KN/m’

Gambar 39. Rancangan balok Penyelesaian: 1. Data : L = 9 m

WL

= 8,5 KN/m’

Dari SNI 03 – 1729 – 2002 didapat: Baja BJ 50

fy

= 290 MPa = 8 x 104 MPa

Es

= 2 x 105 MPa

G

fr

= 70 MPa

δmaks = L/240

Diperkirakan berat sendiri balok AB = 1,7 KN/m’ Wu = 1,2 WD + 1,6 WL

69

= 1,2 x 1,7 + 1,6 x 8,5 = 15,64 KN/m’ Mu = 1/8 Wu L2 = 1/8 x 15,64 x 92 = 158,355 KNm 2. Diasumsikan balok bertipe kompak Mn = Mp = Zx.fy ≤ 1,5 My Zx ≤ 1,5 Sx Dari Ø Mn ≥ Mu Ø Zx.fy ≥ Mu Ø1,5.Sx.fy ≥ Mu Sx ≥

Mu 158,355 x 106 = Ø1,5. fy 0,9 x 1,5 x 290

Sx = 404,483 cm3 Dipilih profil dengan Sx ≥ 404,483 cm3 Dicoba profil WF 10 x 5 - 3/4 - 37,20 dengan Sx = 432,7 cm3 3.

Cek Zx terhadap Sx Dengan melihat pada tabel profil halaman 76 didapat nilai Zx = 484617,6 mm3 Zx 484617,6 = = 1,119 < 1,5 Oke Sx 432700

4. Cek Kekompakan profil

70

Dari tabel profil halaman 76 terlihat bahwa profil WF 10 x 5 - 3/4 37,20 kompak, sehingga anggapan awal benar. 5.

Cek kapasitas berdasarkan Flange Local Buckling Dari tabel halaman 79 didapat Mn = 140,539 KNm Sehingga Ø Mn = 0,9 x 140,539 = 126,485 KNm < Mu

Tidak aman

Sehingga profil harus diperbesar 2.

Dicoba profil WF 8 x 8 – 99,71 dengan Sx = 990,0 cm3

3.

Cek Zx terhadap Sx Dengan melihat pada tabel profil halaman 77 didapat nilai Zx = 1151398,9 mm3 Zx 1151398,9 = = 1,163 < 1,5 Oke Sx 990000

4.

Cek kekompakan profil Dari tabel profil halaman 77 terlihat bahwa profil WF 8 x 8 – 99,71 kompak, sehingga anggapan awal benar.

5. Cek kapasitas berdasarkan Flange Local Buckling Dari tabel halaman 80 didapat Mn = 333.906 KNm Sehingga Ø Mn = 0,9 x 333,906 = 300,515 KNm > Mu 6.

OK

Cek kapasitas berdasarkan kondisi batas Local Torsional Buckling Dari tabel profil halaman 80 didapat Lp = 2486,629 mm Lr = 15237,026 mm

71

Lp < L < Lr Dari tabel profil halaman 82 didapat Mn = 313,038 KNm ≤ Mp = 333,905 KNm Sehingga kontrol LTB Ø Mn = 0,9 x 313,038 = 281,734 KNm > Mu

OK

Sehingga kuat lentur nominal memenuhi ( aman). 7.

Geser a)

Menghitung gaya geser terfaktor Wu = 1,2 WD + 1,6 WL = 1,2 x 1,7 + 1,6 x 8,5 = 15,64 KN/m’ Vu = ½ Wu L = ½ x 15,64 x 9 = 70,38 KN

b) Mencari nilai Vn Dari tabel profil halaman 84 didapat nilai Vn = 461,65 KN Sehingga ØVn = 0,9 x 461,65 = 415,48 KN > Vu = 70,38 KN ( aman) 8.

Cek lendutan W = 0,997 + 8,5 = 9,497 kN/m’ 5. W. L4 5 x 9,497 x 90004 δ= = = 35,86 mm 384. E. I 384 x 2 x 105 x 11,31x107 δmaks =

L 9000 = = 37,5 mm 240 240

Dari perhitungan no 1-8, terlihat bahwa profil WF 8 x 8 – 99,71 memenuhi syarat atau aman digunakan sebagai balok AB.

72

b.

Perhitungan perancangan secara grafis Sebuah balok sederhana seperti gambar di atas akan direncanakan dengan mutu baja BJ 50 dan memiliki lendutan maksimum L/240. Hitunglah dimensi batang A-B! WL = 8,5 KN/m’

Gambar 39. Rancangan balok

Penyelesaian: 1.

Data : L = 9 m

WL

= 8,5 KN/m’

Dari SNI 03 – 1729 – 2002 didapat: Baja BJ 50

fy

= 290 MPa = 8 x 104 MPa

Es

= 2 x 105 MPa

G

fr

= 70 MPa

δmaks = L/240

Diperkirakan berat sendiri balok AB = 1,7 KN/m’ Wu = 1,2 WD + 1,6 WL = 1,2 x 1,7 + 1,6 x 8,5 = 15,64 KN/m’ Mu = 1/8 Wu L2 = 1/8 x 15,64 x 92 = 158,355 KNm

73

2.

Diasumsikan balok bertipe kompak Mn = Mp = Zx.fy ≤ 1,5 My Zx ≤ 1,5 Sx Dari Ø Mn ≥ Mu Ø Zx.fy ≥ Mu Ø1,5.Sx.fy ≥ Mu Sx ≥

Mu 158,355 x 106 = Ø1,5. fy 0,9 x 1,5 x 290

Sx = 404,483 cm3 Dipilih profil dengan Sx ≥ 404,483 cm3 Dicoba profil WF 10 x 5 - 3/4 - 37,20 dengan Sx = 432,7 cm3 3.

Cek kapasitas berdasarkan Flange Local Buckling Dari grafik halaman 85 didapat Mn = 140 KNm Sehingga Ø Mn = 0,9 x 140 = 126 KNm < Mu

Tidak aman

Sehingga profil harus diperbesar 2.

Dicoba profil WF 8 x 8 – 99,71 Sx = 990,0 cm3

3.

Cek kapasitas berdasarkan Flange Local Buckling Dari grafik halaman 86 didapat Mn = 335 KNm Sehingga Ø Mn = 0,9 x 335 = 301,5 KNm > Mu

OK

74

4.

Cek kapasitas berdasarkan kondisi batas Local Torsional Buckling Dari grafik halaman 87 didapat Mn = 310 KNm ≤ Mp = 335 KNm Sehingga kontrol LTB Ø Mn = 0,9 x 310 = 279 KNm > Mu

OK

Sehingga kuat lentur nominal memenuhi ( aman). 5.

Geser a) Menghitung gaya geser terfaktor Wu = 1,2 WD + 1,6 WL = 1,2 x 1,7 + 1,6 x 8,5 = 15,64 KN/m’ Vu = ½ Wu L = ½ x 15,64 x 9 = 70,38 KN b) Mencari nilai Vn Dari grafik halaman 88 didapat nilai Vn = 460 KN Sehingga ØVn = 0,9 x 460 = 414 KN > Vu = 70,38 KN ( aman)

6.

Cek lendutan W = 0,997 + 8,5 = 9,497 kN/m’ 5. W. L4 5 x 9,497 x 90004 δ= = = 35,86 mm 384. E. I 384 x 2 x 105 x 11,31x107 δmaks =

L 9000 = = 37,5 mm 240 240

Dari perhitungan no 1-6, terlihat bahwa profil WF 8 x 8 – 99,71 memenuhi syarat atau aman digunakan sebagai balok AB.

Depth of Flange Section

14" WF 14 x 8 14" WF 14 x 6-3/4

12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2

Flange

Corner Sectional

Momen

Radius

Modulus

Centre

Modulus

Radius

Inersia

of Gyration

of Section

of Gravity 1/2 profil

of Plastis

Cek kekompakan (Sayap)

Section d

B

t1

t2

r

A

Ix

Iy

rx

ry

Sx

Sy

Cx

Cy

Zx

Zy

kg/m 125.00 116.10 110.10 101.20 90.78 78.87 71.43 63.99 56.55 50.60 44.64 282.80 239.60 197.90 178.60 157.70 147.30 136.90 126.50 117.60 107.10 96.73 86.31 78.87 74.41 66.97 59.53 53.57 46.13

mm 360 357 360 357 353 354 351 347 359 356 352 365 353 340 333 327 324 321 318 314 311 308 310 306 310 306 303 311 307

mm 305 305 256 255 254 205 204 203 172 171 171 322 318 314 313 311 310 309 307 307 306 305 254 254 205 204 203 167 166

mm 11.46 11.87 11.43 10.62 9.60 9.40 8.61 7.82 7.95 7.29 6.86 26.92 22.99 19.18 18.03 15.75 14.73 13.84 12.57 11.94 10.92 9.91 9.12 8.76 9.42 8.53 7.47 7.75 6.73

mm 19.76 18.24 19.89 18.24 16.33 16.71 15.06 13.41 13.03 11.51 9.73 44.09 37.74 31.39 28.09 25.04 23.39 21.74 20.22 18.69 17.04 15.39 16.28 14.63 16.28 14.63 13.11 13.72 11.81

mm 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 109.00 109.00 109.00 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 9.40 9.40

cm2 159.4 148.0 140.4 129.0 115.7 100.6 91.0 81.6 72.1 64.5 56.8 360.4 305.7 252.3 227.8 201.2 187.7 174.6 161.2 149.8 136.5 123.3 110.1 100.6 94.9 85.4 75.9 68.3 58.8

cm4 38650 35430 33170 30140 26700 22570 20180 17860 16040 14120 12060 78780 64180 50840 44610 38740 35740 32840 30110 27600 24870 22200 19820 17740 16420 14600 12910 11690 9924

cm4 9387 8613 5557 5045 4467 2394 2136 1877 1024 886.8 728.5 24550 20240 16230 14360 12520 11580 10670 9803 9008 8130 7268 4471 4000 2348 2081 1836 986.6 824.2

mm 155.7 154.7 153.7 152.9 151.9 149.9 148.8 147.8 149.1 148.1 145.5 147.8 144.8 142.0 140.0 138.7 137.9 137.2 136.6 135.6 134.9 134.1 134.1 132.8 131.6 130.8 130.3 130.8 129.8

mm 76.7 76.2 63.0 62.5 62.2 48.8 48.5 48.0 37.8 37.1 35.8 82.6 81.3 80.3 79.5 79.0 78.5 78.2 78.2 77.5 77.2 76.7 63.8 63.0 49.8 49.3 49.3 38.1 37.3

cm3 2145.4 1984.8 1840.6 1688.1 1511.2 1275.1 1150.6 1027.6 894.9 794.9 685.1 4313.8 3641.8 2991.2 2678.1 2368.4 2207.7 2048.8 1896.3 1755.4 1598.0 1442.3 1280.0 1158.8 1060.4 953.9 850.6 752.3 645.8

cm3 614.6 565.4 434.3 395.0 352.4 234.4 209.8 185.2 119.6 103.2 85.2 1525.9 1273.5 1034.2 917.8 806.4 749.0 691.6 637.6 586.8 531.0 476.9 350.7 314.7 229.5 203.2 180.3 118.0 100.0

mm 30.80 31.73 33.59 32.85 31.82 35.09 34.39 33.61 38.39 37.34 36.41 41.05 37.43 33.76 32.44 30.39 29.46 28.67 27.50 26.83 25.92 25.02 26.18 25.97 29.73 28.74 27.45 31.88 30.80

mm 58.49 56.94 47.29 46.79 46.31 35.76 35.24 34.70 28.10 27.67 27.17 64.90 63.69 62.45 61.52 61.11 60.75 60.27 59.98 59.59 59.18 58.73 48.41 47.62 36.88 36.47 36.29 28.59 28.17

mm3 2378248.00 2172196.00 2055596.40 1878885.00 1673947.60 1427614.60 1284101.00 1141502.40 1017403.10 907257.00 792871.20 5097858.00 4251369.90 3437335.20 3053886.80 2678173.20 2487775.80 2301751.80 2119780.00 1949946.60 1768767.00 1590323.40 1418308.20 1277921.80 1188812.30 1061180.40 941539.50 844324.60 721476.00

mm3 932330.60 842712.00 663951.60 603591.00 535806.70 359745.60 320684.00 283152.00 202601.00 178471.50 154325.60 2338996.00 1947003.30 1575613.50 1401425.60 1229533.20 1140277.50 1052314.20 966877.60 892658.20 807807.00 724140.90 532994.10 479057.20 349991.20 311453.80 275441.10 195269.70 165639.60

Index 14" WF 14 x 12 14" WF 14 x 10

Web

Weight

K = Kompak

Width Thickness Thickness

NK = Non Kompak

Area

BJ 34 BJ 37 BJ 41 BJ 50 BJ 55 K K K K K K K K K K K K K K K K K K K K K K K K K K K K K

K K K K K K K K K K K K K K K K K K K K K K K K K K K K K



K K K K K K K K K K NK K K K K K K K K K NK NK K NK K K K K K

S = Slender

Gambar 40. Menentukan nilai Zx dan kekompakan profil WF 12 x 10 – 86,31 dengan tabel profil

75


10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8

8" WF 8 x 6-1/2 8" WF 8 x 5-1/4 6" WF 6x6 5" WF 5x5 4"WF 4x4

Flange

Corner Sectional

Momen

Radius

Modulus

Centre

Modulus

Radius

Inersia

of Gyration

of Section


of Plastis


Section d

B

t1

t2

r

A

Ix

Iy

rx

ry

Sx

Sy

Cx

Cy

Zx

Zy

kg/m 166.70 148.80 132.40 114.60 107.10 98.22 89.29 80.36 72.92 66.97 58.04 49.11 43.16 37.20 31.25 99.71 86.31 71.43 59.53 52.09 46.13 41.67 35.72 29.76 25.30 37.20 29.76 23.07 27.53 23.81

mm 289 282 276 270 267 264 260 257 254 257 252 248 260 256 251 229 222 216 210 206 203 205 201 207 203 162 157 152 130 127

mm 265 263 261 259 258 257 256 255 254 204 203 202 147 146 146 210 209 206 205 204 203 166 165 134 133 154 153 152 128 127

mm 19.18 17.40 15.62 13.59 12.95 11.61 10.54 9.35 8.64 8.89 8.08 7.42 7.34 6.40 6.10 14.61 12.95 10.29 9.27 8.00 7.32 7.24 6.22 6.30 5.84 8.13 6.55 6.10 6.73 6.10

mm 31.70 28.40 25.35 22.05 20.52 19.00 17.35 15.70 14.17 15.70 13.41 11.00 12.70 10.92 8.64 23.70 20.52 17.35 14.17 12.52 11.00 11.76 10.11 9.60 7.82 11.58 9.32 6.83 10.67 9.14

mm 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 8.12 8.12 8.12 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 8.12 8.12 6.35 6.35 6.35 7.62 7.62

cm2 212.4 189.9 169.0 146.3 136.6 125.2 113.9 102.5 92.9 85.4 74.1 62.6 55.0 47.4 39.9 127.1 110.1 91.0 75.9 66.5 58.8 53.1 45.5 37.9 32.3 47.4 37.9 29.6 35.2 30.3

cm4 29920 26020 22580 19030 17510 15920 14310 12720 11360 10350 8729 7114 6548 5545 4425 11310 9462 7647 6090 5266 4567 4071 3434 2881 2348 2227 1736 1261 1057 886.7

cm4 9799 8600 7518 6386 5903 5378 4850 4325 3871 2215 1869 1519 632.8 528.7 403.8 3688 3118 2535 2040 1769 1540 899.2 757.6 353.8 279.7 711.8 553.6 403.4 370 312.6

mm 118.9 117.1 115.6 114.0 113.3 112.8 112.0 111.5 110.5 110.0 108.4 106.7 109.0 108.2 105.2 94.2 92.7 91.7 89.7 88.9 88.1 87.6 86.9 87.1 85.3 68.3 67.6 65.0 54.9 54.1

mm 67.8 67.3 66.8 66.0 65.8 65.5 65.3 65.0 64.5 50.8 50.3 49.3 34.0 33.3 31.8 53.8 53.3 52.8 51.8 51.6 51.0 41.1 40.9 30.5 29.5 38.6 38.1 36.8 32.5 32.0

cm3 2070.0 1842.2 1634.1 1411.2 1312.8 1207.9 1099.8 990.0 894.9 804.7 691.6 573.6 504.8 432.7 352.4 990.0 852.3 708.0 581.8 509.7 449.1 398.3 340.9 278.6 231.1 275.4 219.6 165.5 162.9 139.8

cm3 740.8 654.0 576.9 493.3 457.3 417.9 378.6 339.3 304.8 218.0 183.6 150.8 85.2 72.1 55.7 350.7 298.3 245.8 198.3 173.7 150.8 108.2 91.8 52.4 42.6 91.8 72.1 52.4 58.0 49.2

mm 30.67 28.87 27.18 25.32 24.70 23.46 22.36 21.21 20.56 23.09 22.37 22.29 26.74 25.76 26.74 23.91 22.17 19.85 18.85 17.59 17.05 18.70 17.62 20.96 21.20 15.51 14.09 14.32 12.20 11.61

mm 53.40 52.69 52.02 51.35 50.81 50.79 50.53 50.36 49.78 38.85 37.95 36.50 25.52 25.10 23.60 41.99 41.47 41.04 39.86 39.72 39.05 31.08 30.74 23.17 21.98 29.56 29.20 27.19 25.31 24.70

mm3 2417749.20 2129348.70 1872858.00 1604618.40 1486208.00 1358920.80 1226019.60 1099722.50 988827.60 900201.40 767898.30 636704.60 567930.00 484617.60 394052.40 1151398.90 978018.30 802165.00 653878.50 567976.50 496566.00 444978.00 377104.00 312826.60 259369.00 310422.60 244113.90 182572.80 185856.00 157226.70

mm3 1134216.00 1000583.10 879138.00 751250.50 694064.60 635890.80 575536.70 516190.00 462456.20 331779.00 281209.50 228490.00 140360.00 118974.00 94164.00 533692.90 456584.70 373464.00 302537.40 264138.00 229614.00 165034.80 139867.00 87814.30 70995.40 140114.40 110668.00 80482.40 89091.20 74841.00

19.35

106

122

7.11

8.30

7.95

25.1

470.3

156.5

43.7

25.1

89.3

31.1

10.47

23.27

106750.30

58407.70

Index

10" WF 10 x 10

Web

Weight

K = Kompak


NK = Non Kompak

Area

BJ 34 BJ 37 BJ 41 BJ 50 BJ 55 K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K

K K K K K K K K K K K K K K K K K K K K K K K K K K K NK K K



K K K K K K K K NK K K NK K K NK K K K K K NK K K K NK K K NK K K

K

K

K

K

K

S = Slender

Gambar 41. Menentukan nilai Zx dan kekompakan profil WF 10 x 5 – 3/4 – 37,20 dengan tabel profil

76


10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8


Flange

Corner Sectional

Momen

Radius

Modulus

Centre

Modulus

Radius

Inersia

of Gyration

of Section


of Plastis


Section d

B

t1

t2

r

A

Ix

Iy

rx

ry

Sx

Sy

Cx

Cy

Zx

Zy

kg/m 166.70 148.80 132.40 114.60 107.10 98.22 89.29 80.36 72.92 66.97 58.04 49.11 43.16 37.20 31.25 99.71 86.31 71.43 59.53 52.09 46.13 41.67 35.72 29.76 25.30 37.20 29.76 23.07 27.53 23.81

mm 289 282 276 270 267 264 260 257 254 257 252 248 260 256 251 229 222 216 210 206 203 205 201 207 203 162 157 152 130 127

mm 265 263 261 259 258 257 256 255 254 204 203 202 147 146 146 210 209 206 205 204 203 166 165 134 133 154 153 152 128 127

mm 19.18 17.40 15.62 13.59 12.95 11.61 10.54 9.35 8.64 8.89 8.08 7.42 7.34 6.40 6.10 14.61 12.95 10.29 9.27 8.00 7.32 7.24 6.22 6.30 5.84 8.13 6.55 6.10 6.73 6.10

mm 31.70 28.40 25.35 22.05 20.52 19.00 17.35 15.70 14.17 15.70 13.41 11.00 12.70 10.92 8.64 23.70 20.52 17.35 14.17 12.52 11.00 11.76 10.11 9.60 7.82 11.58 9.32 6.83 10.67 9.14

mm 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 8.12 8.12 8.12 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 8.12 8.12 6.35 6.35 6.35 7.62 7.62

cm2 212.4 189.9 169.0 146.3 136.6 125.2 113.9 102.5 92.9 85.4 74.1 62.6 55.0 47.4 39.9 127.1 110.1 91.0 75.9 66.5 58.8 53.1 45.5 37.9 32.3 47.4 37.9 29.6 35.2 30.3

cm4 29920 26020 22580 19030 17510 15920 14310 12720 11360 10350 8729 7114 6548 5545 4425 11310 9462 7647 6090 5266 4567 4071 3434 2881 2348 2227 1736 1261 1057 886.7

cm4 9799 8600 7518 6386 5903 5378 4850 4325 3871 2215 1869 1519 632.8 528.7 403.8 3688 3118 2535 2040 1769 1540 899.2 757.6 353.8 279.7 711.8 553.6 403.4 370 312.6

mm 118.9 117.1 115.6 114.0 113.3 112.8 112.0 111.5 110.5 110.0 108.4 106.7 109.0 108.2 105.2 94.2 92.7 91.7 89.7 88.9 88.1 87.6 86.9 87.1 85.3 68.3 67.6 65.0 54.9 54.1

mm 67.8 67.3 66.8 66.0 65.8 65.5 65.3 65.0 64.5 50.8 50.3 49.3 34.0 33.3 31.8 53.8 53.3 52.8 51.8 51.6 51.0 41.1 40.9 30.5 29.5 38.6 38.1 36.8 32.5 32.0

cm3 2070.0 1842.2 1634.1 1411.2 1312.8 1207.9 1099.8 990.0 894.9 804.7 691.6 573.6 504.8 432.7 352.4 990.0 852.3 708.0 581.8 509.7 449.1 398.3 340.9 278.6 231.1 275.4 219.6 165.5 162.9 139.8

cm3 740.8 654.0 576.9 493.3 457.3 417.9 378.6 339.3 304.8 218.0 183.6 150.8 85.2 72.1 55.7 350.7 298.3 245.8 198.3 173.7 150.8 108.2 91.8 52.4 42.6 91.8 72.1 52.4 58.0 49.2

mm 30.67 28.87 27.18 25.32 24.70 23.46 22.36 21.21 20.56 23.09 22.37 22.29 26.74 25.76 26.74 23.91 22.17 19.85 18.85 17.59 17.05 18.70 17.62 20.96 21.20 15.51 14.09 14.32 12.20 11.61

mm 53.40 52.69 52.02 51.35 50.81 50.79 50.53 50.36 49.78 38.85 37.95 36.50 25.52 25.10 23.60 41.99 41.47 41.04 39.86 39.72 39.05 31.08 30.74 23.17 21.98 29.56 29.20 27.19 25.31 24.70

mm3 2417749.20 2129348.70 1872858.00 1604618.40 1486208.00 1358920.80 1226019.60 1099722.50 988827.60 900201.40 767898.30 636704.60 567930.00 484617.60 394052.40 1151398.90 978018.30 802165.00 653878.50 567976.50 496566.00 444978.00 377104.00 312826.60 259369.00 310422.60 244113.90 182572.80 185856.00 157226.70

mm3 1134216.00 1000583.10 879138.00 751250.50 694064.60 635890.80 575536.70 516190.00 462456.20 331779.00 281209.50 228490.00 140360.00 118974.00 94164.00 533692.90 456584.70 373464.00 302537.40 264138.00 229614.00 165034.80 139867.00 87814.30 70995.40 140114.40 110668.00 80482.40 89091.20 74841.00

19.35

106

122

7.11

8.30

7.95

25.1

470.3

156.5

43.7

25.1

89.3

31.1

10.47

23.27

106750.30

58407.70

Index

10" WF 10 x 10

Web

Weight

K = Kompak


NK = Non Kompak

Area






K

K

K

K

K

S = Slender


77

Section Index 14" WF 14 x 12 14" WF 14 x 10 14" WF 14 x 8 14" WF 14 x 6-3/4

12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2

Panjang Bentang Maksimum

Panjang Bentang Minimum

Kuat Lentur Nominal Kondisi FLB

Mampu Menerima Momen Plastis ( Lp ) (*1)

Untuk Momen Kritis ( Lr ) (*2)

pada Sumbu x Mnx (KNm) (*3)

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm 4165.944 4138.786 3421.831 3394.674 3378.379 2650.561 2634.267 2607.109 2053.099 2015.078 1944.469 4486.401 4415.792 4361.477 4318.025 4290.868 4263.710 4247.416 4247.416 4209.395 4193.101 4165.944 3465.283 3421.831 2704.876 2677.719 2677.719 2069.393 2025.941

mm 3896.883 3871.480 3200.830 3175.426 3160.184 2479.373 2464.131 2438.728 1920.498 1884.933 1818.884 4196.644 4130.595 4079.788 4039.142 4013.739 3988.336 3973.094 3973.094 3937.529 3922.287 3896.883 3241.475 3200.830 2530.180 2504.776 2504.776 1935.740 1895.095

mm 3818.150 3793.260 3136.160 3111.270 3096.336 2429.279 2414.345 2389.455 1881.696 1846.850 1782.135 4111.854 4047.140 3997.359 3957.535 3932.645 3907.755 3892.821 3892.821 3857.975 3843.041 3818.150 3175.984 3136.160 2479.060 2454.170 2454.170 1896.630 1856.806

mm 3545.064 3521.954 2911.851 2888.742 2874.876 2255.529 2241.663 2218.553 1747.111 1714.757 1654.671 3817.761 3757.675 3711.455 3674.479 3651.369 3628.259 3614.393 3614.393 3582.039 3568.174 3545.064 2948.827 2911.851 2301.749 2278.639 2278.639 1760.977 1724.001

mm 2981.475 2962.039 2448.930 2429.494 2417.832 1896.949 1885.287 1865.851 1469.358 1442.147 1391.614 3210.819 3160.285 3121.413 3090.316 3070.880 3051.444 3039.782 3039.782 3012.572 3000.910 2981.475 2480.027 2448.930 1935.820 1916.385 1916.385 1481.019 1449.922

mm 16940.236 15782.602 14061.439 13007.109 11922.046 9549.762 8835.354 8149.834 6289.141 5837.422 5336.600 44331.712 37512.548 30981.652 27596.500 24566.241 22889.807 21317.291 19927.128 18448.369 17000.089 15578.514 13531.624 12331.774 10631.945 9683.331 8972.881 7137.268 6374.146

mm 14244.395 13330.874 11818.030 10989.928 10149.497 8117.125 7567.394 7040.370 5456.907 5108.409 4715.703 36537.296 30936.081 25584.690 22819.895 20356.144 18998.476 17732.111 16620.694 15439.059 14297.000 13185.170 11413.090 10473.634 8966.872 8225.007 7682.314 6095.448 5503.750

mm 13551.007 12700.239 11240.993 10471.054 9692.884 7748.235 7240.013 6752.503 5240.269 4917.179 4551.051 34517.665 29232.760 24188.105 21584.855 19268.821 17994.292 16807.794 15769.040 14664.585 13601.754 12569.419 10868.204 9995.272 8538.616 7849.566 7349.153 5826.782 5277.987

mm 11424.256 10764.538 9471.183 8878.281 8287.525 6613.635 6229.218 5858.507 4565.094 4316.470 4028.392 28279.790 23974.714 19881.698 17780.305 15923.618 14907.508 13969.073 13155.536 12289.172 11469.271 10678.392 9196.216 8524.424 7224.525 6695.136 6320.737 4998.600 4577.118

mm 8095.321 7720.392 6702.105 6372.506 6053.013 4814.013 4605.554 4398.687 3452.462 3307.559 3129.736 18400.378 15663.421 13099.668 11806.158 10688.169 10085.225 9540.702 9080.799 8582.799 8130.894 7696.966 6571.141 6194.179 5161.491 4865.938 4669.868 3674.928 3433.775

KNm 499.432 456.161 431.675 394.566 351.529 299.799 269.661 239.716 213.655 190.524 166.503 1070.550 892.788 721.840 641.316 562.416 522.433 483.368 445.154 409.489 371.441 333.968 297.845 268.364 249.651 222.848 197.723 177.308 151.510

KNm 570.780 521.327 493.343 450.932 401.747 342.628 308.184 273.961 244.177 217.742 190.289 1223.486 1020.329 824.960 732.933 642.762 597.066 552.420 508.747 467.987 424.504 381.678 340.394 306.701 285.315 254.683 225.969 202.638 173.154

KNm 594.562 543.049 513.899 469.721 418.487 356.904 321.025 285.376 254.351 226.814 198.218 1274.465 1062.842 859.334 763.472 669.543 621.944 575.438 529.945 487.487 442.192 397.581 354.577 319.480 297.203 265.295 235.385 211.081 180.369

KNm 689.692 629.937 596.123 544.877 485.445 414.008 372.389 331.036 295.047 263.105 229.933 1478.379 1232.897 996.827 885.627 776.670 721.455 667.508 614.736 565.485 512.942 461.194 411.309 370.597 344.756 307.742 273.046 244.854 209.228

KNm 975.082 890.600 842.795 770.343 686.319 585.322 526.481 468.016 417.135 371.975 323.595 2090.122 1743.062 1409.307 1252.094 1098.051 1019.988 943.718 869.110 799.478 721.696 644.163 581.506 522.755 487.413 435.084 386.031 346.173 295.805

(*1) Lp = 1,76.ry.√(E/fy)

(*2) Lr = ry (x1/fL) √ (1+(√(1+x2.fL2))

(*3) Mn = Mp

Mn = Mp- ((Mp - Mr )( λ - λp)/( λr - λp ))

Mn = Mr ( λr/λ )2

Gambar 43. Menentukan nilai Mnx , Lp , Lr profil WF 12 x 10 – 86,31 dengan tabel profi 78

Section Index

10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8






Kuat Lentur Nominal Kondisi FLB pada Sumbu x Mnx (KNm) (*3)

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm 3682.542 3655.385 3628.227 3584.775 3573.912 3557.618 3546.755 3530.461 3503.303 2759.191 2732.033 2677.719 1846.702 1808.682 1727.210 2922.135 2894.978 2867.820 2813.506 2802.643 2770.054 2232.337 2221.474 1656.601 1602.286 2096.550 2069.393 1998.784 1765.230 1738.073

mm 3444.703 3419.299 3393.896 3353.250 3343.089 3327.847 3317.686 3302.444 3277.040 2580.987 2555.583 2504.776 1727.432 1691.867 1615.657 2733.407 2708.004 2682.600 2631.793 2621.632 2591.148 2088.160 2077.999 1549.608 1498.801 1961.143 1935.740 1869.691 1651.222 1625.818

mm 3375.106 3350.215 3325.325 3285.501 3275.545 3260.611 3250.655 3235.721 3210.830 2528.840 2503.950 2454.170 1692.531 1657.685 1583.014 2678.181 2653.291 2628.401 2578.620 2568.664 2538.796 2045.971 2036.015 1518.300 1468.519 1921.520 1896.630 1831.916 1617.860 1592.970

mm 3133.707 3110.597 3087.487 3050.511 3041.267 3027.401 3018.157 3004.291 2981.181 2347.969 2324.859 2278.639 1571.475 1539.121 1469.792 2486.629 2463.519 2440.409 2394.189 2384.945 2357.213 1899.636 1890.392 1409.706 1363.486 1784.087 1760.977 1700.891 1502.146 1479.036

mm 2635.515 2616.079 2596.643 2565.545 2557.771 2546.109 2538.335 2526.673 2507.237 1974.692 1955.256 1916.385 1321.645 1294.434 1236.126 2091.308 2071.872 2052.436 2013.564 2005.790 1982.467 1597.635 1589.861 1185.593 1146.721 1500.455 1481.019 1430.486 1263.337 1243.901

mm 32228.578 28752.163 25552.262 22074.114 20547.649 19010.160 17411.919 15862.091 14407.154 12450.142 10794.694 9165.433 6887.775 6079.698 5113.950 23823.857 20558.302 17294.528 14058.379 12556.161 11107.378 9479.871 8351.140 5924.808 5043.380 11140.955 9066.230 6886.536 10928.523 9260.798

mm 26574.349 23722.479 21102.776 18264.486 17024.800 15780.191 14493.692 13256.509 12103.457 10404.600 9096.916 7829.388 5836.336 5206.938 4453.735 19651.840 16976.997 14314.932 11696.041 10496.104 9348.442 7950.012 7065.838 5040.483 4355.787 9249.846 7587.652 5876.400 9041.837 7687.945

mm 25109.735 22420.184 19951.429 17279.814 16114.929 14946.720 13741.525 12585.739 11510.895 9877.998 8660.257 7484.816 5565.779 4981.601 4281.339 18571.449 16050.251 13544.953 11087.033 9965.801 8896.049 7556.425 6735.174 4812.724 4177.409 8761.902 7207.130 5615.986 8554.168 7282.096

mm 20587.952 18401.657 16401.439 14247.756 13315.533 12384.830 11432.050 10528.075 9693.517 8262.580 7320.566 6422.517 4734.573 4285.890 3742.287 15237.026 13192.596 11174.534 9216.788 8339.089 7508.339 6349.353 5719.770 4111.938 3623.541 7262.216 6040.021 4813.587 7052.445 6034.662

mm 13437.058 12058.231 10811.746 9491.936 8933.816 8382.960 7830.244 7319.045 6851.005 5743.281 5219.125 4723.986 3422.055 3168.453 2846.777 9970.065 8692.112 7458.744 6299.443 5801.978 5334.354 4463.827 4119.546 2998.879 2719.549 4919.977 4218.941 3532.925 4696.700 4086.207

KNm 507.727 447.163 393.300 336.970 312.104 285.373 257.464 230.942 207.654 189.042 161.259 133.708 119.265 101.770 82.751 241.794 205.384 168.455 137.314 119.275 104.279 93.445 79.192 65.694 54.467 65.189 51.264 38.340 39.030 33.018

KNm 580.260 511.044 449.486 385.108 356.690 326.141 294.245 263.933 237.319 216.048 184.296 152.809 136.303 116.308 94.573 276.336 234.724 192.520 156.931 136.314 119.176 106.795 90.505 75.078 62.249 74.501 58.587 43.781 44.605 37.734

KNm 604.437 532.337 468.215 401.155 371.552 339.730 306.505 274.931 247.207 225.050 191.975 159.176 141.983 121.154 98.513 287.850 244.505 200.541 163.470 141.994 124.142 111.245 94.276 78.207 64.842 77.606 61.028 45.548 46.464 39.307

KNm 701.147 617.511 543.129 465.339 431.000 394.087 355.546 318.920 286.760 261.058 222.691 184.644 164.700 140.539 114.275 333.906 283.625 232.628 189.625 164.713 144.004 129.044 109.360 90.720 75.217 90.023 70.793 52.567 53.898 45.596

KNm 991.277 873.033 767.872 657.894 609.345 557.158 502.668 450.886 403.549 369.083 314.838 259.306 232.851 198.693 161.483 472.074 400.988 328.888 268.090 232.870 202.205 182.441 154.613 128.259 106.234 127.273 100.087 73.216 76.201 64.463

1363.301

1275.251

1249.486

1160.119

975.685

8705.578

7201.685

6812.930

5615.696

3737.150

22.418

25.620

26.688

30.958

43.768

1

(* ) Lp = 1,76.ry.√(E/fy)

2

2

(* ) Lr = ry (x1/fL) √ (1+(√(1+x2.fL ))

3

(* ) Mn = Mp


Mn = Mr ( λr/λ )

2

Gambar 44. Menentukan nilai Mnx profil WF 10 x 5 – 3/4 – 37,20 dengan tabel profil 79

Panjang Bentang Maksimum Index

10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8


Panjang Bentang Minimum 1

Section

Kuat Lentur Nominal Kondisi FLB 3

2

Mampu Menerima Momen Plastis ( Lp ) (* )

pada Sumbu x Mnx (KNm) (* )

Untuk Momen Kritis ( Lr ) (* )

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

mm 3682.542 3655.385 3628.227 3584.775 3573.912 3557.618 3546.755 3530.461 3503.303 2759.191 2732.033 2677.719 1846.702 1808.682 1727.210 2922.135 2894.978 2867.820 2813.506 2802.643 2770.054 2232.337 2221.474 1656.601 1602.286 2096.550 2069.393 1998.784 1765.230 1738.073

mm 3444.703 3419.299 3393.896 3353.250 3343.089 3327.847 3317.686 3302.444 3277.040 2580.987 2555.583 2504.776 1727.432 1691.867 1615.657 2733.407 2708.004 2682.600 2631.793 2621.632 2591.148 2088.160 2077.999 1549.608 1498.801 1961.143 1935.740 1869.691 1651.222 1625.818

mm 3375.106 3350.215 3325.325 3285.501 3275.545 3260.611 3250.655 3235.721 3210.830 2528.840 2503.950 2454.170 1692.531 1657.685 1583.014 2678.181 2653.291 2628.401 2578.620 2568.664 2538.796 2045.971 2036.015 1518.300 1468.519 1921.520 1896.630 1831.916 1617.860 1592.970

mm 3133.707 3110.597 3087.487 3050.511 3041.267 3027.401 3018.157 3004.291 2981.181 2347.969 2324.859 2278.639 1571.475 1539.121 1469.792 2486.629 2463.519 2440.409 2394.189 2384.945 2357.213 1899.636 1890.392 1409.706 1363.486 1784.087 1760.977 1700.891 1502.146 1479.036

mm 2635.515 2616.079 2596.643 2565.545 2557.771 2546.109 2538.335 2526.673 2507.237 1974.692 1955.256 1916.385 1321.645 1294.434 1236.126 2091.308 2071.872 2052.436 2013.564 2005.790 1982.467 1597.635 1589.861 1185.593 1146.721 1500.455 1481.019 1430.486 1263.337 1243.901

mm 32228.578 28752.163 25552.262 22074.114 20547.649 19010.160 17411.919 15862.091 14407.154 12450.142 10794.694 9165.433 6887.775 6079.698 5113.950 23823.857 20558.302 17294.528 14058.379 12556.161 11107.378 9479.871 8351.140 5924.808 5043.380 11140.955 9066.230 6886.536 10928.523 9260.798

mm 26574.349 23722.479 21102.776 18264.486 17024.800 15780.191 14493.692 13256.509 12103.457 10404.600 9096.916 7829.388 5836.336 5206.938 4453.735 19651.840 16976.997 14314.932 11696.041 10496.104 9348.442 7950.012 7065.838 5040.483 4355.787 9249.846 7587.652 5876.400 9041.837 7687.945

mm 25109.735 22420.184 19951.429 17279.814 16114.929 14946.720 13741.525 12585.739 11510.895 9877.998 8660.257 7484.816 5565.779 4981.601 4281.339 18571.449 16050.251 13544.953 11087.033 9965.801 8896.049 7556.425 6735.174 4812.724 4177.409 8761.902 7207.130 5615.986 8554.168 7282.096

mm 20587.952 18401.657 16401.439 14247.756 13315.533 12384.830 11432.050 10528.075 9693.517 8262.580 7320.566 6422.517 4734.573 4285.890 3742.287 15237.026 13192.596 11174.534 9216.788 8339.089 7508.339 6349.353 5719.770 4111.938 3623.541 7262.216 6040.021 4813.587 7052.445 6034.662

mm 13437.058 12058.231 10811.746 9491.936 8933.816 8382.960 7830.244 7319.045 6851.005 5743.281 5219.125 4723.986 3422.055 3168.453 2846.777 9970.065 8692.112 7458.744 6299.443 5801.978 5334.354 4463.827 4119.546 2998.879 2719.549 4919.977 4218.941 3532.925 4696.700 4086.207

KNm 507.727 447.163 393.300 336.970 312.104 285.373 257.464 230.942 207.654 189.042 161.259 133.708 119.265 101.770 82.751 241.794 205.384 168.455 137.314 119.275 104.279 93.445 79.192 65.694 54.467 65.189 51.264 38.340 39.030 33.018

KNm 580.260 511.044 449.486 385.108 356.690 326.141 294.245 263.933 237.319 216.048 184.296 152.809 136.303 116.308 94.573 276.336 234.724 192.520 156.931 136.314 119.176 106.795 90.505 75.078 62.249 74.501 58.587 43.781 44.605 37.734

KNm 604.437 532.337 468.215 401.155 371.552 339.730 306.505 274.931 247.207 225.050 191.975 159.176 141.983 121.154 98.513 287.850 244.505 200.541 163.470 141.994 124.142 111.245 94.276 78.207 64.842 77.606 61.028 45.548 46.464 39.307

KNm 701.147 617.511 543.129 465.339 431.000 394.087 355.546 318.920 286.760 261.058 222.691 184.644 164.700 140.539 114.275 333.906 283.625 232.628 189.625 164.713 144.004 129.044 109.360 90.720 75.217 90.023 70.793 52.567 53.898 45.596

KNm 991.277 873.033 767.872 657.894 609.345 557.158 502.668 450.886 403.549 369.083 314.838 259.306 232.851 198.693 161.483 472.074 400.988 328.888 268.090 232.870 202.205 182.441 154.613 128.259 106.234 127.273 100.087 73.216 76.201 64.463

1363.301

1275.251

1249.486

1160.119

975.685

8705.578

7201.685

6812.930

5615.696

3737.150

22.418

25.620

26.688

30.958

43.768

1

(* ) Lp = 1,76.ry.√(E/fy)

2

(* ) Lr = ry (x1/fL) √

2 (1+(√(1+x2.fL ))

3

(* ) Mn = Mp

BJ 37

BJ 41

BJ 50

BJ 55


Mn = Mr ( λr/λ )

2

Gambar 45. Menentukan nilai Mnx , Lp , Lr profil WF 8 x 8 – 99,71 dengan tabel profil 80

Cb = 1,14 ( Beban Terbagi Merata ) Kuat Lentur Nominal Kondisi LTB Mn (KNm) (*5)


12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2

BJ 41 L=3m 594.562 543.049 513.899 469.721 418.487 356.904 321.025 285.376 254.351 222.717 188.413 1274.465 1062.842 859.334 763.472 669.543 621.944 575.438 529.945 487.487 442.192 397.581 354.577 319.480 297.203 265.295 235.385 211.081 180.369

L=5m 594.562 543.049 513.899 469.721 418.487 336.684 296.385 256.840 191.240 158.936 121.072 1274.465 1062.842 859.334 763.472 669.543 621.944 575.438 529.945 487.487 442.192 397.581 354.577 319.480 288.382 252.092 219.557 172.518 138.458

(*5) Mn = Mp

L=7m 594.562 542.824 486.611 435.575 378.263 282.079 242.562 200.491 123.624 98.681 73.383 1274.465 1062.842 859.334 763.472 669.543 621.944 575.438 529.945 487.487 442.192 396.056 333.844 292.992 248.373 212.541 181.233 122.550 91.921

BJ 50 L=9m 551.319 495.267 435.246 384.192 327.637 218.141 179.308 144.365 90.514 71.460 52.311 1274.465 1062.842 859.334 763.472 669.543 616.474 562.838 511.673 462.699 410.992 360.111 297.037 256.130 204.347 166.176 134.865 91.299 67.794

L=12m 478.094 423.932 350.029 295.566 239.049 156.763 127.905 102.048 64.899 50.763 36.644 1274.465 1062.842 834.637 723.987 617.419 561.955 508.114 457.358 408.419 356.829 306.194 233.788 191.134 147.803 119.428 96.155 66.379 48.898

L=3m 689.692 629.937 596.123 544.877 485.445 414.008 372.389 331.036 286.597 250.254 210.945 1478.379 1232.897 996.827 885.627 776.670 721.455 667.508 614.736 565.485 512.942 461.194 411.309 370.597 344.756 307.742 273.046 244.516 204.283

Mn = Cb [Mr+ ((Mp - Mr )( Lr - L)/( Lr - Lp ))] ≤ Mp

L=5m 689.692 629.937 596.123 544.877 484.935 376.139 330.480 285.944 195.550 158.936 121.072 1478.379 1232.897 996.827 885.627 776.670 721.455 667.508 614.736 565.485 512.942 461.194 411.309 370.597 323.371 282.068 245.333 187.987 143.595

L=7m 677.424 612.316 543.737 485.399 420.494 297.117 246.409 200.491 123.624 98.681 73.383 1478.379 1232.897 996.827 885.627 776.670 721.455 667.508 614.736 564.416 504.845 446.314 373.006 326.440 271.744 226.317 185.442 122.550 91.921

Mn = Mcr ≤ Mp

BJ 55 L=9m 614.427 551.470 477.279 416.577 340.137 218.141 179.308 144.365 90.514 71.460 52.311 1478.379 1232.897 996.827 882.026 758.399 694.458 632.429 573.678 517.467 458.275 400.324 325.668 271.412 204.347 166.176 134.865 91.299 67.794

L=12m 507.717 436.447 350.029 295.566 239.049 156.763 127.905 102.048 64.899 50.763 36.644 1478.379 1204.862 938.430 810.152 687.163 622.973 560.832 502.867 447.043 379.540 313.420 233.788 191.134 147.803 119.428 96.155 66.379 48.898

L=3m 975.082 890.600 842.795 770.343 686.319 585.322 526.481 468.016 376.221 327.220 273.385 2090.122 1743.062 1409.307 1252.094 1098.051 1019.988 943.718 869.110 799.478 725.194 652.033 581.506 523.948 487.413 435.084 386.031 323.292 269.314

L=5m 975.082 890.600 812.413 732.238 642.709 467.789 393.773 325.798 195.550 158.936 121.072 2090.122 1743.062 1409.307 1252.094 1098.051 1019.988 943.718 869.110 799.478 725.194 652.033 560.181 496.389 418.252 356.265 296.625 187.987 143.595

L=7m 891.537 806.548 672.428 576.067 475.446 297.117 246.409 200.491 123.624 98.681 73.383 2090.122 1743.062 1409.307 1252.094 1079.606 990.400 904.219 823.108 746.036 665.092 586.273 454.729 378.528 276.110 226.317 185.442 122.550 91.921

L=9m 724.224 626.578 490.066 416.577 340.137 218.141 179.308 144.365 90.514 71.460 52.311 2090.122 1718.284 1343.135 1163.389 991.967 903.083 817.547 738.427 641.154 541.816 452.003 329.194 271.412 204.347 166.176 134.865 91.299 67.794

L=12m 507.717 436.447 350.029 295.566 239.049 156.763 127.905 102.048 64.899 50.763 36.644 1971.499 1580.192 1208.676 1018.342 805.385 702.835 608.428 526.273 452.899 379.540 313.420 233.788 191.134 147.803 119.428 96.155 66.379 48.898

"Bold" = ( Bentang Menengah ) "Italic " = ( Bentang Panjang )

Gambar 46. Menentukan nilai Mnx kondisi LTB profil WF 12 x 10 – 86,31 dengan tabel profil 81


Section Index

10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8


BJ 41

BJ 50

BJ 55

L=3m 604.437 532.337 468.215 401.155 371.552 339.730 306.505 274.931 247.207 225.050 191.975 159.176 141.983 118.196 91.303 287.850 244.505 200.541 163.470 141.994 124.142 111.245 94.276 74.769 58.939 77.606 61.028 45.643 46.464 39.307

L=5m 604.437 532.337 468.215 401.155 371.552 339.730 306.505 274.931 247.207 225.050 187.658 149.195 112.097 88.702 58.047 287.850 244.505 200.541 163.470 141.994 122.409 102.648 83.808 54.648 37.179 74.088 55.249 36.903 43.440 35.154

L=7m 604.437 532.337 468.215 401.155 371.552 339.730 305.193 269.025 236.993 200.930 162.664 123.847 78.872 58.504 37.378 287.850 244.505 195.245 151.555 127.557 106.879 86.284 66.620 36.756 24.558 64.744 46.018 26.001 37.806 29.486

L=9m 604.437 532.337 466.032 388.821 354.827 318.814 281.604 245.438 213.335 176.048 135.460 93.491 59.565 43.855 27.659 278.428 229.540 179.977 135.812 112.070 91.289 67.370 49.861 27.826 18.423 55.162 35.445 19.436 31.642 23.072

L=12m 584.179 503.065 430.225 352.863 318.801 283.020 246.220 210.056 175.285 133.960 98.026 66.807 43.757 32.037 20.003 254.833 206.286 157.076 109.814 85.360 66.079 49.449 36.381 20.478 13.466 40.870 26.126 14.168 23.578 17.159

L=3m 701.147 617.511 543.129 465.339 431.000 394.087 355.546 318.920 286.760 261.058 222.691 184.644 160.139 132.721 102.065 333.906 283.625 232.628 189.625 164.713 144.004 129.044 109.360 83.677 65.626 90.023 70.793 52.491 53.898 45.596

L=5m 701.147 617.511 543.129 465.339 431.000 394.087 355.546 318.920 286.760 254.657 210.807 166.734 117.844 88.702 58.047 333.906 283.625 232.628 189.338 161.447 137.727 114.212 92.861 54.648 37.179 82.927 61.305 39.633 48.469 38.904

L=7m 701.147 617.511 543.129 465.339 428.886 387.141 344.040 302.348 265.558 222.266 178.613 128.208 78.872 58.504 37.378 333.800 277.002 219.449 168.743 141.313 117.720 89.308 66.620 36.756 24.558 70.676 46.720 26.001 41.050 30.031

L=9m 701.147 610.779 526.205 436.675 397.333 355.868 313.260 271.705 235.028 183.694 135.460 93.491 59.565 43.855 27.659 313.038 256.576 199.383 148.148 117.151 91.289 67.370 49.861 27.826 18.423 55.162 35.445 19.436 31.642 23.072

L=12m 656.998 563.312 479.036 389.372 350.005 308.959 261.278 214.031 175.285 133.960 98.026 66.807 43.757 32.037 20.003 281.895 225.937 164.719 109.814 85.360 66.079 49.449 36.381 20.478 13.466 40.870 26.126 14.168 23.578 17.159

L=3m 991.277 873.033 767.872 657.894 609.345 557.158 502.668 450.886 405.419 369.083 314.838 261.049 209.684 173.000 125.389 472.074 400.988 328.888 268.090 232.870 203.592 181.757 151.661 108.202 76.537 127.273 98.020 69.518 74.866 61.563

L=5m 991.277 873.033 767.872 657.894 609.345 557.158 502.668 446.770 396.002 333.371 274.164 204.180 117.844 88.702 58.047 472.074 400.988 320.132 249.797 211.907 179.859 133.739 101.309 54.648 37.179 105.243 69.157 39.633 58.802 43.268

L=7m 991.277 864.689 745.662 620.022 565.197 507.745 449.307 392.398 337.512 245.606 182.916 128.208 78.872 58.504 37.378 441.943 362.755 282.950 199.341 156.810 123.229 89.308 66.620 36.756 24.558 72.188 46.720 26.001 41.071 30.031

L=9m 936.954 805.122 686.747 561.400 504.087 431.771 361.337 297.841 245.671 183.694 135.460 93.491 59.565 43.855 27.659 402.739 317.847 223.431 149.938 117.151 91.289 67.370 49.861 27.826 18.423 55.162 35.445 19.436 31.642 23.072

L=12m 845.933 715.771 566.265 424.798 367.558 313.676 261.278 214.031 175.285 133.960 98.026 66.807 43.757 32.037 20.003 317.304 235.309 164.719 109.814 85.360 66.079 49.449 36.381 20.478 13.466 40.870 26.126 14.168 23.578 17.159

26.617

22.267

17.725

13.705

10.238

29.967

24.178

17.725

13.705

10.238

38.692

25.166

17.725

13.705

10.238

5

(* ) Mn = Mp


Mn = Mcr ≤ Mp


Gambar 47. Menentukan nilai Mnx kondisi LTB profil WF 8 x 8 - 99,71 dengan tabel profil

82

Kuat Geser Nominal Vn (KN) *1


12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2

BJ 34 L=3m 462.76 479.38 461.17 428.89 387.48 379.69 348.11 315.48 333.51 305.86 287.43 938.95 803.90 669.95 628.87 549.55 514.51 483.95 439.61 416.16 381.02 346.15 318.81 305.45 329.30 297.43 260.51 276.90 240.30

L=5m 462.76 479.38 461.17 428.89 387.48 379.69 348.11 315.48 333.51 305.86 287.43 938.95 803.90 669.95 628.87 549.55 514.51 483.95 439.61 416.16 381.02 346.15 318.81 305.45 329.30 297.43 260.51 276.90 240.30

*1 Vn = 0.6 fy Aw

L=7m 462.76 479.38 461.17 428.89 387.48 379.69 348.11 315.48 333.51 305.86 287.43 938.95 803.90 669.95 628.87 549.55 514.51 483.95 439.61 416.16 381.02 346.15 318.81 305.45 329.30 297.43 260.51 276.90 240.30

BJ 37 L=9m 462.76 479.38 461.17 428.89 387.48 379.69 348.11 315.48 333.51 305.86 287.43 938.95 803.90 669.95 628.87 549.55 514.51 483.95 439.61 416.16 381.02 346.15 318.81 305.45 329.30 297.43 260.51 276.90 240.30

L=12m 462.76 479.38 461.17 428.89 387.48 379.69 348.11 315.48 333.51 305.86 287.43 938.95 803.90 669.95 628.87 549.55 514.51 483.95 439.61 416.16 381.02 346.15 318.81 305.45 329.30 297.43 260.51 276.90 240.30

Vn = 0.6 fy Aw√((Kn E)/fy )tw/h

L=3m L=5m L=7m L=9m 528.87 528.87 528.87 528.87 547.86 547.86 547.86 547.86 527.06 527.06 527.06 527.06 490.16 490.16 490.16 490.16 442.84 442.84 442.84 442.84 433.94 433.94 433.94 433.94 397.84 397.84 397.84 397.84 360.55 360.55 360.55 360.55 381.15 381.15 381.15 381.15 349.55 349.55 349.55 349.55 328.50 328.50 328.50 328.50 1073.09 1073.09 1073.09 1073.09 918.75 918.75 918.75 918.75 765.66 765.66 765.66 765.66 718.71 718.71 718.71 718.71 628.05 628.05 628.05 628.05 588.02 588.02 588.02 588.02 553.09 553.09 553.09 553.09 502.41 502.41 502.41 502.41 475.61 475.61 475.61 475.61 435.45 435.45 435.45 435.45 395.60 395.60 395.60 395.60 364.36 364.36 364.36 364.36 349.09 349.09 349.09 349.09 376.34 376.34 376.34 376.34 339.93 339.93 339.93 339.93 297.73 297.73 297.73 297.73 316.45 316.45 316.45 316.45 274.63 274.63 274.63 274.63

BJ 41 L=12m 528.87 547.86 527.06 490.16 442.84 433.94 397.84 360.55 381.15 349.55 328.50 1073.09 918.75 765.66 718.71 628.05 588.02 553.09 502.41 475.61 435.45 395.60 364.36 349.09 376.34 339.93 297.73 316.45 274.63

L=3m 550.91 570.69 549.02 510.59 461.29 452.02 414.42 375.57 397.03 364.11 342.18 1117.80 957.03 797.56 748.66 654.22 612.52 576.13 523.34 495.43 453.59 412.09 379.54 363.64 392.02 354.09 310.13 329.64 286.07

L=5m L=7m L=9m 550.91 550.91 550.91 570.69 570.69 570.69 549.02 549.02 549.02 510.59 510.59 510.59 461.29 461.29 461.29 452.02 452.02 452.02 414.42 414.42 414.42 375.57 375.57 375.57 397.03 397.03 397.03 364.11 364.11 364.11 342.18 342.18 342.18 1117.80 1117.80 1117.80 957.03 957.03 957.03 797.56 797.56 797.56 748.66 748.66 748.66 654.22 654.22 654.22 612.52 612.52 612.52 576.13 576.13 576.13 523.34 523.34 523.34 495.43 495.43 495.43 453.59 453.59 453.59 412.09 412.09 412.09 379.54 379.54 379.54 363.64 363.64 363.64 392.02 392.02 392.02 354.09 354.09 354.09 310.13 310.13 310.13 329.64 329.64 329.64 286.07 286.07 286.07

BJ 50 L=12m L=3m 550.91 639.05 570.69 662.00 549.02 636.86 510.59 592.28 461.29 535.10 452.02 524.34 414.42 480.72 375.57 435.66 397.03 460.56 364.11 422.37 342.18 396.93 1117.80 1296.65 957.03 1110.15 797.56 925.17 748.66 868.45 654.22 758.90 612.52 710.52 576.13 668.31 523.34 607.07 495.43 574.69 453.59 526.17 412.09 478.02 379.54 440.26 363.64 421.82 392.02 454.75 354.09 410.74 310.13 359.75 329.64 382.38 286.07 331.84

L=5m 639.05 662.00 636.86 592.28 535.10 524.34 480.72 435.66 460.56 422.37 396.93 1296.65 1110.15 925.17 868.45 758.90 710.52 668.31 607.07 574.69 526.17 478.02 440.26 421.82 454.75 410.74 359.75 382.38 331.84

L=7m 639.05 662.00 636.86 592.28 535.10 524.34 480.72 435.66 460.56 422.37 396.93 1296.65 1110.15 925.17 868.45 758.90 710.52 668.31 607.07 574.69 526.17 478.02 440.26 421.82 454.75 410.74 359.75 382.38 331.84

L=9m 639.05 662.00 636.86 592.28 535.10 524.34 480.72 435.66 460.56 422.37 396.93 1296.65 1110.15 925.17 868.45 758.90 710.52 668.31 607.07 574.69 526.17 478.02 440.26 421.82 454.75 410.74 359.75 382.38 331.84

L=12m 639.05 662.00 636.86 592.28 535.10 524.34 480.72 435.66 460.56 422.37 396.93 1296.65 1110.15 925.17 868.45 758.90 710.52 668.31 607.07 574.69 526.17 478.02 440.26 421.82 454.75 410.74 359.75 382.38 331.84

Vn = (0.9 Aw Kn E)/(h/tw)2

Gambar 48. Menentukan nilai Vn profil WF 12 x 10 – 86,31 dengan tabel profil

83

Kuat Geser Nominal Section

Vn (KN) *

Index

10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8


BJ 34

1

BJ 37

BJ 41

BJ 50

L=3m 545.20 493.73 443.42 386.82 368.70 330.61 299.21 265.78 245.66 252.70 229.25 211.29 216.97 188.83 179.64 334.30 295.27 235.06 212.18 182.41 166.94 165.55 141.68 149.08 137.87 142.22 114.19 106.33 92.14 83.56

L=5m 545.20 493.73 443.42 386.82 368.70 330.61 299.21 265.78 245.66 252.70 229.25 211.29 216.97 188.83 179.64 334.30 295.27 235.06 212.18 182.41 166.94 165.55 141.68 149.08 137.87 142.22 114.19 106.33 92.14 83.56

L=7m 545.20 493.73 443.42 386.82 368.70 330.61 299.21 265.78 245.66 252.70 229.25 211.29 216.97 188.83 179.64 334.30 295.27 235.06 212.18 182.41 166.94 165.55 141.68 149.08 137.87 142.22 114.19 106.33 92.14 83.56

L=9m 545.20 493.73 443.42 386.82 368.70 330.61 299.21 265.78 245.66 252.70 229.25 211.29 216.97 188.83 179.64 334.30 295.27 235.06 212.18 182.41 166.94 165.55 141.68 149.08 137.87 142.22 114.19 106.33 92.14 83.56

L=12m 545.20 493.73 443.42 386.82 368.70 330.61 299.21 265.78 245.66 252.70 229.25 211.29 216.97 188.83 179.64 334.30 295.27 235.06 212.18 182.41 166.94 165.55 141.68 149.08 137.87 142.22 114.19 106.33 92.14 83.56

L=3m 623.09 564.26 506.76 442.08 421.37 377.84 341.95 303.75 280.76 288.80 262.00 241.48 247.96 215.80 205.30 382.06 337.45 268.64 242.49 208.47 190.79 189.20 161.92 170.37 157.56 162.54 130.50 121.52 105.30 95.50

L=5m 623.09 564.26 506.76 442.08 421.37 377.84 341.95 303.75 280.76 288.80 262.00 241.48 247.96 215.80 205.30 382.06 337.45 268.64 242.49 208.47 190.79 189.20 161.92 170.37 157.56 162.54 130.50 121.52 105.30 95.50

L=7m 623.09 564.26 506.76 442.08 421.37 377.84 341.95 303.75 280.76 288.80 262.00 241.48 247.96 215.80 205.30 382.06 337.45 268.64 242.49 208.47 190.79 189.20 161.92 170.37 157.56 162.54 130.50 121.52 105.30 95.50

L=9m 623.09 564.26 506.76 442.08 421.37 377.84 341.95 303.75 280.76 288.80 262.00 241.48 247.96 215.80 205.30 382.06 337.45 268.64 242.49 208.47 190.79 189.20 161.92 170.37 157.56 162.54 130.50 121.52 105.30 95.50

L=12m 623.09 564.26 506.76 442.08 421.37 377.84 341.95 303.75 280.76 288.80 262.00 241.48 247.96 215.80 205.30 382.06 337.45 268.64 242.49 208.47 190.79 189.20 161.92 170.37 157.56 162.54 130.50 121.52 105.30 95.50

L=3m 649.05 587.77 527.88 460.50 438.93 393.58 356.20 316.40 292.46 300.84 272.92 251.54 258.29 224.79 213.85 397.98 351.51 279.84 252.60 217.15 198.74 197.09 168.67 177.47 164.13 169.32 135.94 126.58 109.69 99.48

L=5m 649.05 587.77 527.88 460.50 438.93 393.58 356.20 316.40 292.46 300.84 272.92 251.54 258.29 224.79 213.85 397.98 351.51 279.84 252.60 217.15 198.74 197.09 168.67 177.47 164.13 169.32 135.94 126.58 109.69 99.48

L=7m 649.05 587.77 527.88 460.50 438.93 393.58 356.20 316.40 292.46 300.84 272.92 251.54 258.29 224.79 213.85 397.98 351.51 279.84 252.60 217.15 198.74 197.09 168.67 177.47 164.13 169.32 135.94 126.58 109.69 99.48

L=9m 649.05 587.77 527.88 460.50 438.93 393.58 356.20 316.40 292.46 300.84 272.92 251.54 258.29 224.79 213.85 397.98 351.51 279.84 252.60 217.15 198.74 197.09 168.67 177.47 164.13 169.32 135.94 126.58 109.69 99.48

L=12m 649.05 587.77 527.88 460.50 438.93 393.58 356.20 316.40 292.46 300.84 272.92 251.54 258.29 224.79 213.85 397.98 351.51 279.84 252.60 217.15 198.74 197.09 168.67 177.47 164.13 169.32 135.94 126.58 109.69 99.48

L=3m 752.90 681.82 612.34 534.18 509.16 456.55 413.19 367.03 339.25 348.97 316.59 291.78 299.62 260.76 248.07 461.65 407.76 324.61 293.01 251.90 230.54 228.62 195.65 205.87 190.39 196.41 157.69 146.83 127.24 115.40

L=5m 752.90 681.82 612.34 534.18 509.16 456.55 413.19 367.03 339.25 348.97 316.59 291.78 299.62 260.76 248.07 461.65 407.76 324.61 293.01 251.90 230.54 228.62 195.65 205.87 190.39 196.41 157.69 146.83 127.24 115.40

L=7m 752.90 681.82 612.34 534.18 509.16 456.55 413.19 367.03 339.25 348.97 316.59 291.78 299.62 260.76 248.07 461.65 407.76 324.61 293.01 251.90 230.54 228.62 195.65 205.87 190.39 196.41 157.69 146.83 127.24 115.40

L=9m 752.90 681.82 612.34 534.18 509.16 456.55 413.19 367.03 339.25 348.97 316.59 291.78 299.62 260.76 248.07 461.65 407.76 324.61 293.01 251.90 230.54 228.62 195.65 205.87 190.39 196.41 157.69 146.83 127.24 115.40

L=12m 752.90 681.82 612.34 534.18 509.16 456.55 413.19 367.03 339.25 348.97 316.59 291.78 299.62 260.76 248.07 461.65 407.76 324.61 293.01 251.90 230.54 228.62 195.65 205.87 190.39 196.41 157.69 146.83 127.24 115.40

80.09

80.09

80.09

80.09

80.09

91.53

91.53

91.53

91.53

91.53

95.35

95.35

95.35

95.35

95.35

110.60

110.60

110.60

110.60

110.60

1

* Vn = 0.6 fy Aw


Vn = (0.9 Aw Kn E)/(h/tw)

2

Gambar 49. Menentukan nilai Vn profil WF 8 x 8 – 99,71 dengan tabel profil 84

85

Grafik Hubungan Momen Nominal Kondisi FLB pada Sumbu X ( Mnx ) versus Mutu Baja 600 550 500 450 400 350 300 Mnx 250 KNm T 200 150 i 100 50 t 0 l BJ 34 BJ 37 BJ 41 BJ 50 BJ 55 0 1 2 3 4 5 e Mutu Baja A x i s

WF 8 x 8 - 99,71 WF 8 x 8 - 86,31 WF 12 x 10 - 86,31 WF 12 x 10 - 78,87 6

Gambar 50. Menentukan nilai Mnx profil WF 12 x 10 – 86,31 dengan grafik Grafik Hubungan Momen Nominal Kondisi FLB pada Sumbu X ( Mnx ) versus Mutu Baja 250 200 Mn KNm 150

WF 10 x 5 - 3/466,97

100

WF 10 x 5 - 3/437,20

50

WF 10 x 5 - 3/431,25

0 0

BJ 34 BJ 37 BJ 41 BJ 50 BJ 55 1 2 3 4 5

6

Mutu Baja

Gambar 51. Menentukan nilai Mnx profil WF 10 x 5 – 3/4 – 37,20 dengan grafik

86

Grafik Hubungan Momen Nominal Kondisi FLB pada Sumbu X ( Mnx ) versus Mutu Baja 500 450 400 Mn 350 KNm 300 250 200 150 100 50 0

WF 8 x 8 - 99,71 WF 8 x 8 - 86,31 WF 8 x 8 - 71,43

0

BJ 34 BJ 37 BJ 41 BJ 50 BJ 55 1 2 3 4 5

6

Mutu Baja

Gambar 52. Menentukan nilai Mnx profil WF 8 x 8 – 99,71 dengan grafik Grafik Hubungan Momen Nominal Kondisi LTB pada Sumbu X ( Mnx ) versus Panjang Bentang (L) 450 400 350 300 250 Mn 200 KNm 150 100 50 0

BJ 50 WF 12 x 10 - 86,31 WF 12 x 10 - 78,87 WF 8 x 8 - 99,71 WF 8 x 8 - 86,31 0

2

4

6

8

10

12

14

L (m)

Gambar 53. Menentukan nilai Mnx Kondisi LTB profil WF 12 x 10 – 86,31 dengan grafik

87

Grafik Hubungan Momen Nominal Kondisi LTB pada Sumbu X ( Mnx ) versus Panjang Bentang (L) 400 350 300 250 200 Mn KNm 150 100 50 0

BJ 50 WF 8 x 8 - 99,71 WF 8 x 8 - 86,31 WF 8 x 8 - 71,43

0

2

4

6

8

10

12

14

L (m)

Gambar 54. Menentukan nilai Mnx Kondisi LTB profil WF 8 x 8 – 99,71 dengan grafik Grafik Hubungan Kuat Geser Nominal ( Vn ) versus Panjang Bentang ( L ) 500 450 A x i s

400 350 300

250 T 200 Vni t 150 (KN) l 100 e 50 0 0

2

4

6

8

10

12

14

16

L (m)

BJ 50 WF 12 x 10 - 86,31

WF 12 x 10 - 78,87

WF 8 x 8 - 99,71

WF 8 x 8 - 86,31

Gambar 55. Menentukan nilai Vn profil WF 12 x 10 – 86,31 dengan grafik

88

Grafik Hubungan Kuat Geser Nominal ( Vn ) versus Panjang Bentang ( L ) 500 Vn KN 400 300 200 100 0 0

2

4

BJ 50

6

8

10

12

14

L (m) WF 8 x 8 - 99,71

WF 8 x 8 - 86,31

WF 8 x 8 - 71,43

Gambar 56. Menentukan nilai Vn profil WF 8 x 8 – 99,71 dengan grafik

89

Tabel 1.3 Langkah perhitungan analisis balok struktur baja secara manual, grafis dan dengan tabel Manual 1. Data analisis

Grafis 1. Data analisis

Tabel 1. Data analisis

Momen terfaktor

Momen terfaktor

Momen terfaktor

Wu = 1,2 WD + 1,6 WL

Wu = 1,2 WD + 1,6 WL

Wu = 1,2 WD + 1,6 WL

= 1,2 x 3 + 1,6 x 8

= 1,2 x 3 + 1,6 x 8

= 1,2 x 3 + 1,6 x 8

= 16,4 KN/m’

= 16,4 KN/m’

= 16,4 KN/m’

Mu = 1/8 Wu L2

Mu = 1/8 Wu L2

Mu = 1/8 Wu L2

= 1/8 x 16,4 x 92

= 1/8 x 16,4 x 92

= 1/8 x 16,4 x 92

= 166,05 KNm

= 166,05 KNm

= 166,05 KNm

Mu = 166,05 KNm

Mu = 166,05 KNm

Mu = 166,05 KNm

Profil yang dianalisis



WF 12 x 10 – 86,31

WF 12 x 10 – 86,31

WF 12 x 10 – 86,31

2. Cek Zx terhadap Sx Cx = [(254 x 16,28 x

Hitungan tidak diperlukan

2. Cek Zx terhadap Sx Dari tabel didapat

(16,28/2)) +

Zx =1418308,20 mm3

(((310/2)-

( Lihat tabel halaman

16,28).9,12 x

75 )

(((310/2)-16,28)/2 + 16,28)) + (2x(1(π/4).15,22(0,2234x

15,2 + 16,28))] /

90

(254x16,28)

Zx 1418308,20 = = 1,10 Sx 1280000 < 1,5 Oke

+ ((310/216,28)9,12) + (2x1- (π/4)15,22)] = 26,18 mm Zx = ½ A . a = ½ x 11010 x ( 310 -2 x 26,18 ) Zx = 1418308,2 mm3 Zx 1418308,20 = = 1,10 Sx 1280000 < 1,5 Oke 3. Cek kekompakan b = 7,8 t 170 λp = = 9,9827 fy λ=


3. Cek kekompakan Dari tabel didapat profil kompak. (Lihat tabel halaman 75 )

λ = 7,8 < λp = 9,983 profil kompak 4. Cek FLB Mn = fy.Zx

4. Cek FLB

4. Cek FLB

Dari grafik didapatkan

Dari tabel didapat Mn =

= 290 x 1418308,2

Mn = 412 KNm ( Lihat

411,309 KNm ( Lihat

= 411,309 KNm

grafik halaman 85)

tabel halaman 78 )

Sehingga

Sehingga

Sehingga

ØMn= 0,9 x 411,309

ØMn = 0,9 x 412

ØMn = 0,9 x 411,309

= 370,189 KNm

= 370,8 KNm

= 370,189 KNm

91

5. Cek LTB 5. Cek LTB L = 9000 mm

5. Cek LTB

Dari grafik didapat

L = 9000 mm

Mn = 335 KNm

Dari tabel didapat

( Lihat grafik halaman

Lp = 2948,827 mm

Lp = 2948,827 mm

86)

Lr = 9196,216 mm

Iy h2 Iw = 2 2

Sehingga

Lp < L < Lr

Ø Mn = 0,9 x 335


E fy

Lp = 1,76. ry

11

6

= 7,419 x 10 mm 3

J=

2(B. t ) 3

( Lihat Tabel halaman

Ø Mn = 0,9 x 325,668 = 293,101 KNm

= 19689,35 Sx GJ

2

Iw Iy

= 4,61 x 10−5 Lr = ry

x1 1 + 1 + x 2 . fL 2 fL

Lr = 9196,216 mm Lp < L < Lr Mn = Cb Mr + Mp − Mr

81) Sehingga

EGJA 2

x2 = 4

78) Mn = 325,668 KNm

= 730643,7 mm4 π x1 = Sx

= 300,068 KNm

Lr − L Lr − Lp

≤ Mp Mn = 325,668 KNm Ø Mn = 0,9 x 325,668 = 293,101 KNm

92

6. Cek Geser

6. Cek Geser

Wu = 1,2 WD + 1,6 WL

6. Cek Geser

Wu = 1,2 WD + 1,6 WL

Wu = 1,2 WD + 1,6 WL

= 1,2 x 3 + 1,6 x 8

= 1,2 x 3 + 1,6 x 8

= 1,2 x 3 + 1,6 x 8

= 16,4 KN/m’

= 16,4 KN/m’

= 16,4 KN/m’

Vu = ½ Wu L

Vu = ½ Wu L

Vu = ½ Wu L

= ½ x 16,4 x 9

= ½ x 16,4 x 9

= ½ x 16,4 x 9

= 73,8 KN

= 73,8 KN

= 73,8 KN

h 310 − 2 x 16,28 = = 30,42 tw 9,12 Kn = 5 +

= 5+

Dari grafik didapat

Dari tabel didapat

Vn = 440 KN

Vn = 440,26 KN

(Lihat grafik halaman


87)

83 )

ØVn = 0,9 x 440

ØVn = 0,9 x 440,26

5 2

a

h

5 12000

2

312 = 396 KN

= 5,0047

1,10

= 1,10

Kn E fy

5,0034 x 2 x 105 290 = 64,624

= 396,234 KN

93

Vn = 0,6 fy Aw = 0,6 x 290 x 14,61 x 181,6 Vn = 440,264 KN ØVn = 0,9 x 440,264 = 396,238 KN 7. Cek Lendutan

7. Cek Lendutan

7. Cek Lendutan

5 (3 + 8)90004 δ= 384 2 x 105 164,2 x 106

5 (3 + 8)90004 δ= 384 2 x 105 164,2 x 106

5 (3 + 8)90004 δ= 384 2 x 105 164,2 x 106

δ = 23,707 mm

δ = 23,707 mm

δ = 23,707 mm

δ maks = 37,5 mm

δ maks = 37,5 mm

δ maks = 37,5 mm

δ < δ maks sehingga



aman

aman

aman

94

Tabel 1.4 Langkah perhitungan perancangan balok struktur baja secara manual, grafis dan dengan tabel Manual

Grafis

1. Data

Tabel

1. Data

Diperkirakan

berat

1. Data

Diperkirakan

berat

Diperkirakan

berat

sendiri balok AB = 1,7



KN/m’

KN/m’

KN/m’

Wu = 1,2 WD + 1,6 WL

Wu = 1,2 WD + 1,6 WL

Wu = 1,2 WD + 1,6 WL

= 1,2x1,7+1,6x8,5

= 1,2x1,7+1,6x8,5

= 1,2x1,7+1,6x8,5

= 15,64 KN/m’

= 15,64 KN/m’

= 15,64 KN/m’

2

Mu = 1/8 Wu L

Mu = 1/8 Wu L

Mu = 1/8 Wu L2

= 1/8 x 15,64 x 92

= 1/8 x 15,64 x 92

= 1/8 x 15,64 x 92

= 158,355 KNm

= 158,355 KNm

= 158,355 KNm

2. Mencari Sx Sx ≥ =

2

Mu Ø1,5. fy

158,355 x 106 0,9 x 1,5 x 290

Sx = 404,483 cm3


Mu Ø1,5. fy 158,355 x 106 0,9 x 1,5 x 290

Sx = 404,483 cm3


Mu Ø1,5. fy 158,355 x 106 0,9 x 1,5 x 290

Sx = 404,483 cm3

2a. Dipilih profil dengan Sx 2a.Dipilih profil dengan Sx 2a.Dipilih profil dengan Sx ≥ 404,483 cm3

≥ 404,483 cm3

≥ 404,483 cm3

2b. Dicoba profil WF 10 x 2b.Dicoba profil WF 10 x 2b.Dicoba profil WF 10 x 5 - 3/4 - 37,20

5 - 3/4 - 37,20

5 - 3/4 - 37,20

95



Dari tabel didapatkan

(10,92/2)) +

Zx =484617,6 mm3

(((256/2)-

( Lihat tabel halaman 76) Zx 484617,6 = Sx 432700

10,92).6,4 x (((256/2)-10,92)/2 + 10,92)) + (2x(1.

3. Cek Zx terhadap Sx

2

(π/4) 8,12 (0,2234x

= 1,119 < 1,5 Oke

8,12 + 10,92))] /(146x10,92)+((25 6/2-10,92)6,4) + (2x1- (π/4)8,122)] = 23,91 mm Zx = ½ x 4740 x 204,48 = 484617,6 mm3 Zx 484617,6 = Sx 432700 = 1,119 < 1,5 Oke 4. Cek kekompakan profil b = 6,68 t 170 λp = = 9,98 fy λ=


4. Cek kekompakan profil Dari tabel didapat profil kompak (Lihat tabel halaman 76)

λ < λp profil kompak

sehingga anggapan

sehingga anggapan

awal benar.

awal benar.

96

5. Cek FLB Mn = Mp = Zx . fy = 484617,6 x 290 x 10-6 = 140,539 KNm Ø Mn = 0,9 x 140,539 = 126,485 KNm

5. Cek FLB

5. Cek FLB



Mn = 140 KNm

Mn = 140,539 KNm



85)

79)

Ø Mn = 0,9 x 140

Ø Mn = 0,9 x 140,539

= 126 KNm

= 126,485 KNm

< Mu = 158,355 KNm

< Mu = 158,355 KNm

< Mu = 158,355 KNm

Sehingga profil harus



diperbesar

diperbesar

diperbesar

2b. Dicoba profil WF 8 x 8 2b. Dicoba profil WF 8 x 8 2b. Dicoba profil WF 8 x 8 – 99,71 3. Cek Zx terhadap Sx Cx = [(210 x 23,7 x

– 99,71 Hitungan tidak diperlukan

– 99,71 3. Cek Zx terhadap Sx Dari tabel didapat

(23,7/2)) +

Zx =1151398,90 mm3

(((229/2)-


23,7).14,61 x

77 )

(((229/2)-23,7)/2 + 23,7)) + (2x(1(π/4).10,22(0,2234

x 10,2 + 23,7))] /(210x23,7)+((229 /2-23,7)14,61) + (2x1- (π/4)10,22)] = 23,91 mm

97

Zx = ½ A . a = ½ x 12710 x ( 229 -2 x 23,91 ) Zx = 1151398,9 mm3

4. Cek kekompakan b λ = = 4,43 t 170 λp = = 9,98 fy


4. Cek kekompakan profil Dari tabel profil didapatkan profil kompak (Lihat tabel halaman

Karena λ < λp maka

77)

profil kompak,

sehingga anggapan

sehingga anggapan

awal benar

awal benar. 5. Cek FLB Mn = Mp = Zx . fy = 1151398,9 x 290 x 10-6 = 333,906 KNm Sehingga

5. Cek FLB Dari grafik didapatkan



Mn = 333,906 KNm

grafik halaman 86 )

(Lihat tabel halaman

Sehingga

80)

ØMn = 0,9 x 335

Sehingga

Ø Mn = 0,9 x 333,906 = 300,515 KNm > Mu = 158,355 KNm Oke

5. Cek FLB

= 301,5 KNm

Ø Mn = 0,9 x 333,906 = 300,515 KNm

> Mu = 158,355 KNm Oke

> Mu = 158,355 KNm Oke

98

6. Cek kapasitas LTB

6. Cek kapasitas LTB L = 9000 mm

Lp = 1,76. ry

E fy

Lp = 2486,6287 mm

J = 1863687,42 mm

= 3,026 x 10

= 43683,656 2

Iw Iy

= 1,447 x 10−6

L r = ry

x1 1 + 1 + x 2 . fL 2 fL

= 15237,026 mm Lp< L
6

mm

EGJA 2

Sx GJ

Dari tabel didapat

grafik halaman 87 )

Lp = 24866,629 mm

Sehingga

Lr = 15237,026 mm

Ø Mn = 0,9 x 310

Lp < L < Lr 80)

(Lihat tabel halaman 11

x2 = 4

= 310 KNm ( Lihat

Mn = 313,038 KNm

Iy h2 2 2

π Sx

L = 9000 mm

= 279 KNm 4

x1 =

Dari grafik didapat Mn


2 B. t 3 J= 3

Iw =

6. Cek kapasitas LTB

82) Sehingga Ø Mn = 0,9 x 313,038 = 281,734 KNm

99

Lr − L Lr − Lp

Mn = Cb Mr + Mp − Mr

≤ Mp Mn = 313,038 KNm Sehingga Ø Mn = 0,9 x 313,038 = 281,734 KNm 7. Cek Geser

7. Cek Geser

7. Cek Geser

Wu = 1,2 WD + 1,6 WL

Wu = 1,2 WD + 1,6 WL

Wu = 1,2 WD + 1,6 WL

= 1,2 x 1,7 + 1,6 x

= 1,2 x 1,7 + 1,6 x

= 1,2 x 1,7 + 1,6 x

8,5

8,5

= 15,64 KN/m’

= 16,4 KN/m’

Vu = ½ Wu L

Vu = ½ Wu L

= ½ x 16,4 x 9 = 73,8 KN h 310 − 2 x 16,28 = = 30,42 tw 9,12 Kn = 5 + =5+

5 2

a

h 2

312

= 5,0047

= 16,4 KN/m’ Vu = ½ Wu L

= ½ x 15,64 x 9

= ½ x 15,64 x 9

= 70,38 KN

= 70,38 KN

Dari grafik didapat

Dari tabel didapat

Vn = 460 KN

Vn = 461,65 KN



88)

84)

ØVn = 0,9 x 460

ØVn = 0,9 x 461,65

= 414 KN

5 12000

8,5

= 415,48 KN

100

1,10

Kn E fy

5,0034 x 2 x 105 = 1,10 290 = 64,624 Vn = 0,6 fy Aw = 0,6 x 290 x 14,61 x 181,6 Vn = 461,65 KN ØVn = 0,9 x 461,65 = 415,48 KN 8. Cek Lendutan

8. Cek Lendutan

8. Cek Lendutan

5 (9,497)90004 δ= 384 2 x 105 164,2 x 106

5 (9,497)90004 δ= 384 2 x 105 164,2 x 106

5 (9,497)90004 δ= 384 2 x 105 164,2 x 106

δ = 35,86 mm

δ = 35,86 mm

δ = 35,86 mm

δ maks = 37,5 mm

δ maks = 37,5 mm

δ maks = 37,5 mm




aman

aman

aman

Dari hitungan no 1-8

Dari hitungan no 1-8

terlihat bahwa profil



WF 8 x 8 – 99,71 aman

WF 8 x 8 – 99,71 aman

WF 8 x 8 – 99,71 aman

digunakan

digunakan

digunakan

Dari

hitungan

no

1-8

101

2.

Contoh Permasalahan pada Balok-Kolom

2.1 Contoh Perhitungan Analisis Secara Manual Suatu batang dengan panjang elemen 5 m seperti tergambar merupakan bagian dari portal dengan bracing. Beban yang bekerja dan momenmomennya telah dihitung dengan faktor beban momen terjadi pada arah sumbu kuat. Baja dengan profil WF 12 x 12 – 96,73 BJ 50 apakah tersebut aman jika kxL = kyL = 5 m?

WF 12 x 12 – 96,73

Gambar 57. Balok-kolom ujung sendi - sendi Penyelesaian: 1) Data analisis L

=5m

Nu = 1360 KN

Dari SNI 03-1729-2002 didapat: fy

= 290 MPa

G = 8 x 104 MPa

fr

= 70 MPa

Es = 2 x 105 MPa

kc = 1 ( sendi – sendi ) Mu = M2 = 85 KNm Spesifikasi profil WF 12 x 12 - 96,73 A

= 123,3 cm2

Ix = 22200 x 104 mm4

t

= 15,39 mm

Iy = 7268 x 104 mm4

tw

= 9,91 mm

Sx = 1442,3 x 103 mm3

102

d

= 308 mm

Sy = 476,9 x 103 mm3

B

= 305 mm

r = 15,2 mm

rx

= 134,1 mm

ry = 76,7 mm


308 π 305x15,39 + 2 − 15,39 9,91 + 2x 1 − 4 x15,22

Cx = 25,02 mm Zx = ½ x 12330 x (308 - 2 x 25,02) = 1590323,4 mm3 Zx 1590323,4 = = 1,103 < 1,5 Oke Sx 1442300 3) Cek kekompakan Sayap λ=

b = 9,91 t

λp =

170 fy

= 9,98

λ < λp maka profil kompak Badan Nu 1360 x 103 = = 0,4226 > 0,125 Øb Ny 0,9 x 123,3 x 102 x 290 λp =

λp =

500 fy 500 290

2,33 −

Nu Øb Ny

2,33 − 0,4226 = 56,0032

103

665 𝑓𝑦

=

665 290

= 39,0501

λp = 56,0032 > λ=

665 𝑓𝑦

= 39,0501

h 308 − 2 x 25,02 = = 26,030 tw 9,91

λ < λp maka web kompak 2.

Cek kapasitas berdasarkan Flange Local Buckling Mn = Mp = Zx.fy = 1590323,4 x 290 = 461,194 KNm Ø Mn = 0,9 x 461,194 = 415,075 KNm > Mu = 85 KNm

5) Cek kapasitas berdasarkan Lateral Torsional Buckling

Lp = 1,76. ry

J=

E = 3545,064 mm fy

2(B. t 3 ) = 741181,28 mm4 3

Iw =

Iy h2 = 1,2091 x 1012 mm6 2 2

x1 =

π Sx

EGJA = 18624,4313 2

Sx x2 = 4 GJ

Lr = ry

2

Iw = 3,9372 x 10−5 Iy

x1 1 + 1 + x2 . fL 2 = 10678,392 mm fL

104

Lp = 3,5 m < L = 5 m < Lr = 10,7 m 6) Kuat Lentur Nominal kondisi LTB

Cb = 1,0759

Gambar 58. Menentukan momen

M n = Cb M r − M p − M r

L r −L L r −L p

= 464,623 KNm > Mp = 461,194 KNm

Dipakai Mn = Mp = 461,194 KNm Ø Mn = 0,9 x 461,194 = 415,075 KNm 7) Faktor pembesaran momen k x L 1 x 5000 = = 37,2856 r 134,1 Ncr =

π2 EAg kL r

2

= 17506,952 KN

Cm = 0,6 − 0,4

M1 M2

Cm = 0,6 − 0,4

−70 = 0,9294 85

δb =

Cm 0,9294 = = 1,008 > 1,0 N 1360 1 − Nu 1− 17506,952 cr

8) Momen maksimum terfaktor Mntu = 85 KNm, Mltu = 0

105

Mu = δb Mntu + δs Mltu = 1,008 x 85 + 0 = 85,68 KNm 9) Menentukan parameter kelangsingan λc =

1 Lk π ry

fy 1 5000 290 = = 0,79 E π 76,7 2 x 105

1,43

ω = 1,6−0,67.λ = 1,336 c

10) Menentukan Nn = Ag

Nu Ø Nn

fy = 2676,422 KN ω

Ø Nn = 0,85 x 2676,422 = 2274,959 KN Nu 1360 = = 0,598 > 0,2 Ø Nn 2274,959 11) Interaksi aksial momen SNI mensyaratkan Muy Nu 8 Mux + + ≤ 1,0 Øk Nn 9 ØMnx ØMny 0,598 +

8 85,68 + 0 = 0,7814 < 1,0 9 415,074

Profil WF 12 x 12 – 96,73 aman 2.2 Contoh Perhitungan Perancangan Secara Manual Suatu batang dengan panjang elemen 5 m seperti tergambar merupakan bagian dari portal dengan bracing. Beban yang bekerja dan momenmomennya telah dihitung dengan faktor beban momen terjadi pada arah sumbu kuat. Baja dengan mutu baja BJ 50. Rencanakan batang tersebut jika kxL = kyL = 5 m?

106

Gambar 57. Balok-kolom ujung sendi - sendi Penyelesaian: 1) Data : L

=5m

Nu = 1360 KN


= 290 MPa

Es = 2 x 105 MPa kc = 1 (sendi – sendi) Momen terfaktor Mu = M2 = 85 KNm 2. Diasumsikan batang bertipe kompak Mn = Mp = Zx.fy ≤ 1,5 My Zx ≤ 1,5 Sx Dari Ø Mn ≥ Mu Ø Zx.fy ≥ Mu Ø1,5.Sx.fy ≥ Mu

fr = 70 MPa G

= 8 x 104 MPa

107

Sx ≥

Mu 85 x 106 = Ø1,5. fy 0,9 x 1,5 x 290

Sx = 217,1137 cm3 Dipilih profil dengan Sx ≥ 217,1137 cm3 2b) Dicoba profil WF 6 x 6 – 29,76 Spesifikasi profil WF 6 x 6 – 29,76 A = 37,9 cm2

Ix = 1736 x 104 mm4

t = 9,32 mm

Iy = 553,6 x 104 mm4

tw = 6,55 mm

Sx = 219,6 x 103 mm3

d = 157 mm

Sy = 72,1 x 103 mm3

B = 153 mm

ry = 38,1 cm

rx = 67,6 mm

r = 6,35

3) Cek Zx terhadap Sx 157 − 9,32 9,32 157 π 153x9,32x 2 + 2 − 9,32 6,55 2 2 + 9,32 + 2x(1 − 4)x6,352 0,2234x6,35 + 9,32 CX =

157 π 153x9,32 + 2 − 9,32 6,55 + 2x(1 − 4)x6,352

Zx = ½ x 3790 x (157 - 2 x 14,09) = 244113,9 mm3 Zx 244113,9 = = 1,112 < 1,5 Oke Sx 219600 4) Cek kekompakan profil Sayap λ=

b = 7,378 t

= 14,09 mm

108

λp =

170 fy

= 9,98

λ < λp maka sayap kompak Badan Nu 1360 x 103 = = 1,37 > 0,125 Øb Ny 0,9 x 37,9 x 102 x 290 λp =

λp = 665 𝑓𝑦

500 fy

2,33 −

500

=

290

λ=

2,33 − 1,37 = 28,17

665 290

λp = 28,17 <

Nu Øb Ny

= 39,0501

665 𝑓𝑦

= 39,0501 maka λp = 39,0501

h 157 − 2 x 14,09 = = 19,667 tw 6,55

λ < λp maka web kompak Karena sayap dan badan kompak sehingga anggapan awal benar. 5) Cek kapasitas FLB Mn = Mp = Zx.fy = 244113,9 x 290 = 70,793 KNm Ø Mn = 0,9 x 70,793 = 63,714 KNm < Mu = 85 KNm Sehingga profil harus diperbesar 2) Dicoba profil WF 10 x 10 – 89,29

109

Spesifikasi profil WF 10 x 10 – 89,29 A = 113,9 cm2

Ix = 14310 x 104 mm4

t = 17,35 mm

Iy = 4850 x 104 mm4

tw = 10,54 mm

Sx = 1099,8 x 103 mm3

d = 260 mm

Sy = 378,6 x 103 mm3

B = 256 mm

ry = 65,3 cm

rx = 112 mm

r = 12,7 mm


260 π 256x17,35 + 2 − 17,35 10,54 + 2x 1 − 4 x12,72

Cx = 22,36 mm Zx = ½ x 11390 x (260 - 2 x 22,36) = 1226019,6 mm3 Zx 1226019,6 = = 1,115 < 1,5 Oke Sx 1099800 4) Cek asumsi kompak Sayap λ=

b = 7,378 t

λp =

170 fy

= 9,98

λ < λp maka sayap kompak Badan Nu 1360 x 103 = = 0,457 > 0,125 Øb Ny 0,9 x 113,9 x 102 x 290

110

λp =

λp = 665 𝑓𝑦

500

2,33 −

fy 500 290

=

2,33 − 0,457 = 54,993

665 290

λp = 54,993 > λ=

Nu Øb Ny

= 39,0501 665 𝑓𝑦

= 39,0501

h 260 − 2 x 22,36 = = 20,425 tw 10,54

λ < λp maka web kompak Karena sayap dan badan kompak sehingga anggapan awal benar. 5) Cek kapasitas Flange Local Buckling Mn = Mp = Zx.fy = 1226019,6 x 290 = 355,546 KNm Ø Mn = 0,9 x 355,546 = 319,991 KNm > Mu = 85 KNm 6) Cek kapasitas berdasarkan Lateral Torsional Buckling

Lp = 1,76. ry

J=

E = 3018,157 mm fy

2(B. t 3 ) = 891347,69 mm4 3

Iw =

Iy h2 = 5,62 x 1011 mm6 2 2

x1 =

π Sx

EGJA = 25743,44 2

Oke

111

2

x2 = 4

Sx GJ

Iw = 1,1025 x 10−5 Iy

Lr = ry

x1 1 + 1 + x2 . fL 2 = 11432,050 mm fL

Lp = 3,02 m < L = 5 m < Lr = 11,43 m sehingga termasuk dalam bentang menengah 7) Kuat Lentur Nominal pada kondisi LTB

Cb = 1,0759


M n = Cb M r + M p − M r

L r −L L r −L p

= 353,745 KNm < Mp = 355,546 KNm

Ø Mn = 0,9 x 353,745 = 318,371 KNm > Mu = 85 KNm 8) Faktor pembesaran momen k x L 1 x 5000 = = 44,643 r 112 Ncr =

π2 EAg kL r

2

= 11281,05 KN

Cm = 0,6 − 0,4

M1 M2

Cm = 0,6 − 0,4

−70 = 0,9294 85

112

δb =

Cm 0,9294 = = 1,057 > 1,0 N 1360 1 − Nu 1− 11281,05 cr

9) Momen maksimum terfaktor Mntu = 85 KNm, Mltu = 0 Mu = δb Mntu + δs Mltu = 1,057 x 85 + 0 = 89,845 KNm 10) Menentukan parameter kelangsingan λc =

1 Lk π ry

fy 1 5000 290 = = 0,928 E π 65,3 2 x 105

1,43

ω = 1,6−0,67.λ = 1,462 c

11) Menentukan

Nn = Ag

Nu Ø Nn

fy = 2259,302 KN ω

Ø Nn = 0,85 x 2259,302 = 1920,407 KN Nu 1360 = = 0,708 > 0,2 Ø Nn 1920,407 12) Interaksi aksial momen SNI mensyaratkan Muy Nu 8 Mux + + ≤ 1,0 Øk Nn 9 ØMnx ØMny 0,708 +

8 89,845 + 0 = 0,959 < 1,0 9 318,371

Profil WF 10 x 10 – 89,29 aman digunakan

113

2.3 Contoh Perhitungan Analisis Secara Praktis a. Perhitungan analisis dengan tabel Suatu batang dengan panjang elemen 5 m seperti tergambar merupakan bagian dari portal dengan bracing. Beban yang bekerja dan momen-momennya telah dihitung dengan faktor beban momen terjadi pada arah sumbu kuat. Baja dengan profil WF12 x 12 – 96,73 BJ 50 apakah tersebut aman jika kxL = kyL = 5 m?

WF 12 x 12 – 96,73

Gambar 57. Balok-kolom ujung sendi - sendi Penyelesaian: 1) Data analisis L

=5m

Nu = 1360 KN


= 290 MPa

G = 8 x 104 MPa

fr

= 70 MPa

Es = 2 x 105 MPa

kc = 1 ( sendi – sendi ) Mu = M2 = 85 KNm Profil WF 12 x 12 - 96,73 2) Cek Zx terhadap Sx Dari tabel profil halaman 130 didapat Zx = 1590323,40 mm3

114

Zx 1590323,4 = = 1,103 < 1,5 Oke Sx 1442300 3) Cek kekompakan Sayap Dari tabel halaman 130 didapat profil kompak Badan Dari tabel halaman 138 didapat Øb.Ny = 3218,13 KN Nu 1360 = = 0,4226 > 0,125 Øb Ny 3218,13 λp =

λp = 665 𝑓𝑦

500 fy

2,33 −

500

=

290

2,33 − 0,4226 = 56,0032

665 290

= 39,0501

λp = 56,0032 > λ=

Nu Øb Ny

665 𝑓𝑦

= 39,0501

h 308 − 2 x 25,02 = = 26,030 tw 9,91

λ < λp maka web kompak 4) Cek kapasitas berdasarkan Flange Local Buckling Dari tabel halaman 133 didapat Mn = 461,194 KNm Sehingga Ø Mn = 0,9 x 461,194 = 415,075 KNm > Mu = 85 KNm 5) Cek kapasitas berdasarkan Lateral Torsional Buckling

115

Dari tabel halaman 133 didapat Lp = 3545,064 mm Lr = 10678,392 mm Lp = 3,5 m < L = 5 m < Lr = 10,7 m sehingga termasuk bentang menengah 6) Kuat Lentur Nominal kondisi LTB

Cb = 1,0759



L r −L L r −L p

= 464,623 KNm > Mp =

461,194 KNm Dipakai Mn = Mp = 461,194 KNm Ø Mn = 0,9 x 461,194 = 415,075 KNm 7) Faktor pembesaran momen Dari tabel halaman 138 didapat Ncr = 17506,94 KN Cm = 0,6 − 0,4

M1 M2

Cm = 0,6 − 0,4

−70 = 0,9294 85

δb =

Cm 0,9294 = = 1,008 > 1,0 oke N 1360 1 − Nu 1− 17506,94 cr

8) Momen maksimum terfaktor

116

Mntu = 85 KNm, Mltu = 0 Mu = δb Mntu + δs Mltu = 1,008 x 85 + 0 = 85,68 9) Menentukan

Nu Ø Nn

Dari tabel halaman 136 didapat Nn = 2676,422 KN Ø Nn = 0,85 x 2676,422 = 2274,959 KN Nu 1360 = = 0,598 > 0,2 Ø Nn 2274,959 10) Interaksi aksial momen SNI mensyaratkan Muy Nu 8 Mux + + ≤ 1,0 Øk Nn 9 ØMnx ØMny 0,598 +

8 85,68 + 0 = 0,7814 < 1,0 9 415,074

Profil WF 12 x 12 – 96,73 aman

b. Perhitungan analisis secara grafis Suatu batang dengan panjang elemen 5 m seperti tergambar merupakan bagian dari portal dengan bracing. Beban yang bekerja dan momen-momennya telah dihitung dengan faktor beban momen terjadi pada arah sumbu kuat. Baja dengan profil WF 12 x 12 – 96,73 BJ 50 apakah tersebut aman jika kxL = kyL = 5 m?

117

WF 12 x 12 – 96,73

Gambar 57. Balok-kolom ujung sendi - sendi Penyelesaian: 1) Data analisis L =5m

Nu = 1360 KN

Dari SNI 03-1729-2002 didapat: fy = 290 MPa

G = 8 x 104 MPa

fr = 70 MPa

Es = 2 x 105 MPa

kc = 1 ( sendi – sendi ) Mu = M2 = 85 KNm Profil WF 12 x 12 - 96,73 2) Cek kapasitas berdasarkan keadaan batas Flange Local Buckling Dari grafik halaman 141 didapat Mn = 460 KNm Sehingga Ø Mn = 0,9 x 460 = 414 KNm > Mu = 85 KNm 3) Cek kapasitas berdasarkan batas LTB

118

Lp = 1,76. ry

E = 3545,064 mm fy

2(B. t 3 ) J= = 741181,28 mm4 3 Iy h2 Iw = = 1,2091 x 1012 mm6 2 2 x1 =

π Sx

EGJA = 18624,4313 2

Sx x2 = 4 GJ

Lr = ry

2

Iw = 3,9372 x 10−5 Iy

x1 1 + 1 + x2 . fL 2 = 10678,392 mm fL

Lp = 3,5 m < L = 5 m < Lr = 10,7 m sehingga termasuk bentang menengah 4) Kuat Lentur Nominal Kondisi LTB

Cb = 1,0759



L r −L L r −L p

= 414,273 KNm < Mp = 460KNm

Sehingga Ø Mn = 0,9 x 414,273 = 372,846 KNm 5) Faktor pembesaran momen

119

k x L 1 x 5000 = = 37,2856 r 134,1 Dari grafik halaman 143 didapatkan Ncrb = 18000 KN Cm = 0,6 − 0,4

M1 M2

Cm = 0,6 − 0,4

−70 = 0,9294 85

δb =

Cm 0,9294 = = 1,005 Nu 1360 1−N 1 − 18000 cr

6) Momen maksimum terfaktor Mntu = 85 KNm, Mltu = 0 Mu = δb Mntu + δs Mltu = 1,005 x 85 + 0 = 85,425 KNm 7) Menentukan

Nu Ø Nn

Dari grafik halaman 143 didapat Nn = 2650 KN Ø Nn = 0,85 x 2650 = 2252,5 KN Nu 1360 = = 0,604 > 0,2 Ø Nn 2252,5 8) Interaksi aksial momen Muy Nu 8 Mux + + ≤ 1,0 Øk Nn 9 ØMnx ØMny 0,604 +

8 85,425 + 0 = 0,808 < 1,0 9 372,846


120

2.4. Contoh Perhitungan Perancangan Secara Praktis a.

Perhitungan perancangan dengan tabel Suatu batang dengan panjang elemen 5 m seperti tergambar merupakan bagian dari portal dengan bracing. Beban yang bekerja dan momenmomennya telah dihitung dengan faktor beban momen terjadi pada arah sumbu kuat. Baja dengan mutu baja BJ 50. Rencanakan batang tersebut jika kxL = kyL = 5 m?

Gambar 57. Balok-kolom ujung sendi - sendi Penyelesaian: 1) Data : L = 5 m

Nu = 1360 KN


= 290 MPa 5

Es = 2 x 10 MPa kc = 1 (sendi – sendi) Momen terfaktor Mu = M2 = 85 KNm 2) Diasumsikan batang bertipe kompak Mn = Mp = Zx.fy ≤ 1,5 My

fr = 70 MPa G

= 8 x 104 MPa

121

Zx ≤ 1,5 Sx Dari Ø Mn ≥ Mu Ø Zx.fy ≥ Mu Ø1,5.Sx.fy ≥ Mu Mu 85 x 106 Sx ≥ = Ø1,5. fy 0,9 x 1,5 x 290 Sx = 217,1137 cm3 Dipilih profil dengan Sx ≥ 217,1137 cm3 Dicoba profil WF 6 x 6 – 29,76 3) Cek Zx terhadap Sx Dari tabel profil halaman 131 didapatkan Zx = 244113,9 mm3 Zx 244113,9 = = 1,112 < 1,5 Oke Sx 219600 4) Cek kekompakan sayap Dari tabel halaman 131 profil kompak Badan Dari tabel halaman 140 didapat Øb.Ny = 989,19 KN Nu 1360 = = 1,37 > 0,125 Øb Ny 989,19 λp =

λp =

500 fy 500 290

2,33 −

Nu Øb Ny

2,33 − 1,37 = 28,187

122

665 𝑓𝑦

=

665 290

λp = 28,187 < λ=

= 39,0501 665 𝑓𝑦

= 39,0501 maka λp = 39,0501

h 157 − 2 x 14,09 = = 19,67 tw 6,55

λ < λp maka web kompak Karena sayap dan badan kompak sehingga anggapan awal benar. 5) Cek kapasitas berdasarkan Flange Local Buckling Dari tabel halaman 134 didapat Mn= 70,793 KNm Sehingga Ø Mn = 0,9 x 70,793 = 63,714 KNm < Mu = 85 KNm Sehingga profil harus diperbesar 2) Dicoba profil WF 10 x 10 – 89,29 3) Cek Zx terhadap Sx Dari tabel profil halaman 132 didapatkan Zx = 1226019,6 mm3 Zx 1226019,6 = = 1,115 < 1,5 Oke Sx 1099800 4) Cek kekompakan sayap Dari tabel halaman 132 profil kompak Badan Dari tabel halaman 139 didapat Øb.Ny = 2972,79 KN Nu 1360 x 103 = = 0,457 > 0,125 Øb Ny 2972,79

123

λp =

λp = 665 𝑓𝑦

500 fy

2,33 −

500

=

290

2,33 − 0,457 = 54,993

665 290

λp = 54,993 > λ=

Nu Øb Ny

= 39,0501 665 𝑓𝑦

= 39,0501

h 308 − 2 x 22,36 = = 24,979 tw 10,54

λ < λp maka web kompak Karena sayap dan badan kompak sehingga anggapan awal benar. 5) Cek kapasitas berdasarkan Flange Local Buckling Dari tabel halaman 135 didapat Mn= 355,546 KNm Sehingga Ø Mn = 0,9 x 355,546 = 319,991 KNm > Mu = 85 KNm

Oke

6) Cek kapasitas berdasarkan Lateral Torsional Buckling Dari tabel profil halaman 135 didapat Lp = 3018,157 mm Lr = 11432,050 mm Lp = 3,02 m < L = 5 m < Lr = 11,43 m sehingga termasuk dalam bentang menengah 7) Kuat Lentur Nominal pada kondisi LTB

124

Cb = 1,0759



L r −L L r −L p

= 353,745 KNm < Mp =

355,546 KNm Dipakai Mn = Mp = 353,745 KNm Ø Mn = 0,9 x 353,745 = 318,371 KNm > Mu = 85 KNm 8) Faktor pembesaran momen Dari tabel profil halaman 139 didapat Ncr = 11281,05 KN Cm = 0,6 − 0,4

M1 M2

Cm = 0,6 − 0,4

−70 = 0,9294 85

δb =

Cm 0,9294 = = 1,057 > 1,0 Nu 1360 1−N 1− 11281,05 cr


Nu Ø Nn

Dari tabel halaman 137 didapat Nn = 2259,302 KN

125

Sehingga Ø Nn = 0,85 x 2259,302 = 1920,407 KN Nu 1360 = = 0,708 > 0,2 Ø Nn 1920,407 11) Interaksi aksial momen SNI mensyaratkan Muy Nu 8 Mux + + ≤ 1,0 Øk Nn 9 ØMnx ØMny 0,708 +

8 89,845 + 0 = 0,959 < 1,0 9 318,371

Profil WF 10 x 10 – 89,29 aman digunakan b. Perhitungan perancangan secara grafis Suatu batang dengan panjang elemen 5 m seperti tergambar merupakan bagian dari portal dengan bracing. Beban yang bekerja dan momen-momennya telah dihitung dengan faktor beban momen terjadi pada arah sumbu kuat. Baja dengan mutu baja

BJ 50. Rencanakan

batang tersebut jika kxL = kyL = 5 m?

Gambar 57. Balok-kolom ujung sendi - sendi Penyelesaian: 1) Data : L = 5 m

Nu = 1360 KN

126


= 290 MPa

Es = 2 x 105 MPa

fr = 70 MPa G

= 8 x 104 MPa

kc = 1 (sendi – sendi) Momen terfaktor Mu = M2 = 85 KNm 2) Diasumsikan batang bertipe kompak Mn = Mp = Zx.fy ≤ 1,5 My Zx ≤ 1,5 Sx Dari Ø Mn ≥ Mu Ø Zx.fy ≥ Mu Ø1,5.Sx.fy ≥ Mu Mu 85 x 106 Sx ≥ = Ø1,5. fy 0,9 x 1,5 x 290 Sx = 217,1137 cm3 Dipilih profil dengan Sx ≥ 217,1137 cm3 Dicoba profil WF 6 x 6 – 29,76 3) Cek kapasitas berdasarkan Flange Local Buckling Dari grafik halaman 141 didapat Mn= 70 KNm Sehingga Ø Mn = 0,9 x 70 = 63 KNm < Mu = 85 KNm Sehingga profil harus diperbesar 2) Dicoba profil WF 10 x 10 – 89,29

127

3) Cek kapasitas berdasarkan keadaan batas Flange Local Buckling Dari grafik halaman 142 didapat Mn = 360 KNm Sehingga Ø Mn = 0,9 x 360 = 324 KNm > Mu = 85 KNm 4) Cek kapasitas berdasarkan batas LTB Lp = 1,76. ry

E = 3018,157 mm fy

2(B. t 3 ) J= = 891347,69 mm4 3 Iw =

Iy h2 = 5,62 x 1011 mm6 2 2

x1 =

π Sx

EGJA = 25743,44 2

Sx x2 = 4 GJ

Lr = ry

2

Iw = 1,1025 x 10−5 Iy

x1 1 + 1 + x2 . fL 2 = 11432,050 mm fL

Lp = 3,02 m < L = 5 m < Lr = 11,43 m sehingga termasuk bentang menengah 5) Kuat Lentur Nominal Kondisi LTB

128

Cb = 1,0759



L r −L L r −L p

= 309,38 KNm < Mp = 360 KNm

Sehingga Ø Mn = 0,9 x 309,38 = 278,442 KNm 6) Faktor pembesaran momen k x L 1 x 5000 = = 44,643 r 112 Dari grafik halaman 144 didapatkan Ncrb =11500 KN Cm = 0,6 − 0,4

M1 M2

Cm = 0,6 − 0,4

−70 = 0,9294 85

δb =

Cm 0,9294 = = 1,054 > 1,0 N 1360 1 − Nu 1− 11500 cr


Nu Ø Nn

Dari grafik halaman 142 didapat Nn = 2250 KN

129

Ø Nn = 0,85 x 2250 = 1912,5 KN Nu 1360 = = 0,711 > 0,2 Ø Nn 1912,5 9) Interaksi aksial momen SNI mensyaratkan Muy Nu 8 Mux + + ≤ 1,0 Øk Nn 9 ØMnx ØMny 0,711 +

8 89,59 + 0 = 0,997 < 1,0 9 278,442



Weight

Index 14" WF 14 x 12 14" WF 14 x 10 14" WF 14 x 8 14" WF 14 x 6-3/4

12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2

kg/m 125.00 116.10 110.10 101.20 90.78 78.87 71.43 63.99 56.55 50.60 44.64 282.80 239.60 197.90 178.60 157.70 147.30 136.90 126.50 117.60 107.10 96.73 86.31 78.87 74.41 66.97 59.53 53.57 46.13

Section

Web

d

B

t1

mm 360 357 360 357 353 354 351 347 359 356 352 365 353 340 333 327 324 321 318 314 311 308 310 306 310 306 303 311 307

mm 305 305 256 255 254 205 204 203 172 171 171 322 318 314 313 311 310 309 307 307 306 305 254 254 205 204 203 167 166

mm 11.46 11.87 11.43 10.62 9.60 9.40 8.61 7.82 7.95 7.29 6.86 26.92 22.99 19.18 18.03 15.75 14.73 13.84 12.57 11.94 10.92 9.91 9.12 8.76 9.42 8.53 7.47 7.75 6.73

K = Kompak

Flange


Corner Sectional

Momen

Radius

Modulus

Centre

Radius

Inersia

of Gyration

of Section


t2

r

mm 19.76 18.24 19.89 18.24 16.33 16.71 15.06 13.41 13.03 11.51 9.73 44.09 37.74 31.39 28.09 25.04 23.39 21.74 20.22 18.69 17.04 15.39 16.28 14.63 16.28 14.63 13.11 13.72 11.81

mm 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 109.00 109.00 109.00 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 9.40 9.40

NK = Non Kompak

Area

Modulus


of Plastis

A

Ix

Iy

rx

ry

Sx

Sy

Cx

Cy

Zx

Zy

cm2 159.4 148.0 140.4 129.0 115.7 100.6 91.0 81.6 72.1 64.5 56.8 360.4 305.7 252.3 227.8 201.2 187.7 174.6 161.2 149.8 136.5 123.3 110.1 100.6 94.9 85.4 75.9 68.3 58.8

cm4 38650 35430 33170 30140 26700 22570 20180 17860 16040 14120 12060 78780 64180 50840 44610 38740 35740 32840 30110 27600 24870 22200 19820 17740 16420 14600 12910 11690 9924

cm4 9387 8613 5557 5045 4467 2394 2136 1877 1024 886.8 728.5 24550 20240 16230 14360 12520 11580 10670 9803 9008 8130 7268 4471 4000 2348 2081 1836 986.6 824.2

mm 155.7 154.7 153.7 152.9 151.9 149.9 148.8 147.8 149.1 148.1 145.5 147.8 144.8 142.0 140.0 138.7 137.9 137.2 136.6 135.6 134.9 134.1 134.1 132.8 131.6 130.8 130.3 130.8 129.8

mm 76.7 76.2 63.0 62.5 62.2 48.8 48.5 48.0 37.8 37.1 35.8 82.6 81.3 80.3 79.5 79.0 78.5 78.2 78.2 77.5 77.2 76.7 63.8 63.0 49.8 49.3 49.3 38.1 37.3

cm3 2145.4 1984.8 1840.6 1688.1 1511.2 1275.1 1150.6 1027.6 894.9 794.9 685.1 4313.8 3641.8 2991.2 2678.1 2368.4 2207.7 2048.8 1896.3 1755.4 1598.0 1442.3 1280.0 1158.8 1060.4 953.9 850.6 752.3 645.8

cm3 614.6 565.4 434.3 395.0 352.4 234.4 209.8 185.2 119.6 103.2 85.2 1525.9 1273.5 1034.2 917.8 806.4 749.0 691.6 637.6 586.8 531.0 476.9 350.7 314.7 229.5 203.2 180.3 118.0 100.0

mm 30.80 31.73 33.59 32.85 31.82 35.09 34.39 33.61 38.39 37.34 36.41 41.05 37.43 33.76 32.44 30.39 29.46 28.67 27.50 26.83 25.92 25.02 26.18 25.97 29.73 28.74 27.45 31.88 30.80

mm 58.49 56.94 47.29 46.79 46.31 35.76 35.24 34.70 28.10 27.67 27.17 64.90 63.69 62.45 61.52 61.11 60.75 60.27 59.98 59.59 59.18 58.73 48.41 47.62 36.88 36.47 36.29 28.59 28.17

mm3 2378248.00 2172196.00 2055596.40 1878885.00 1673947.60 1427614.60 1284101.00 1141502.40 1017403.10 907257.00 792871.20 5097858.00 4251369.90 3437335.20 3053886.80 2678173.20 2487775.80 2301751.80 2119780.00 1949946.60 1768767.00 1590323.40 1418308.20 1277921.80 1188812.30 1061180.40 941539.50 844324.60 721476.00

mm3 932330.60 842712.00 663951.60 603591.00 535806.70 359745.60 320684.00 283152.00 202601.00 178471.50 154325.60 2338996.00 1947003.30 1575613.50 1401425.60 1229533.20 1140277.50 1052314.20 966877.60 892658.20 807807.00 724140.90 532994.10 479057.20 349991.20 311453.80 275441.10 195269.70 165639.60






S = Slender


130


10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8


Flange

Corner Sectional

Momen

Radius

Modulus

Centre

Modulus

Radius

Inersia

of Gyration

of Section


of Plastis


Section d

B

t1

t2

r

A

Ix

Iy

rx

ry

Sx

Sy

Cx

Cy

Zx

Zy

kg/m 166.70 148.80 132.40 114.60 107.10 98.22 89.29 80.36 72.92 66.97 58.04 49.11 43.16 37.20 31.25 99.71 86.31 71.43 59.53 52.09 46.13 41.67 35.72 29.76 25.30 37.20 29.76 23.07 27.53 23.81

mm 289 282 276 270 267 264 260 257 254 257 252 248 260 256 251 229 222 216 210 206 203 205 201 207 203 162 157 152 130 127

mm 265 263 261 259 258 257 256 255 254 204 203 202 147 146 146 210 209 206 205 204 203 166 165 134 133 154 153 152 128 127

mm 19.18 17.40 15.62 13.59 12.95 11.61 10.54 9.35 8.64 8.89 8.08 7.42 7.34 6.40 6.10 14.61 12.95 10.29 9.27 8.00 7.32 7.24 6.22 6.30 5.84 8.13 6.55 6.10 6.73 6.10

mm 31.70 28.40 25.35 22.05 20.52 19.00 17.35 15.70 14.17 15.70 13.41 11.00 12.70 10.92 8.64 23.70 20.52 17.35 14.17 12.52 11.00 11.76 10.11 9.60 7.82 11.58 9.32 6.83 10.67 9.14

mm 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 8.12 8.12 8.12 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 8.12 8.12 6.35 6.35 6.35 7.62 7.62

cm2 212.4 189.9 169.0 146.3 136.6 125.2 113.9 102.5 92.9 85.4 74.1 62.6 55.0 47.4 39.9 127.1 110.1 91.0 75.9 66.5 58.8 53.1 45.5 37.9 32.3 47.4 37.9 29.6 35.2 30.3

cm4 29920 26020 22580 19030 17510 15920 14310 12720 11360 10350 8729 7114 6548 5545 4425 11310 9462 7647 6090 5266 4567 4071 3434 2881 2348 2227 1736 1261 1057 886.7

cm4 9799 8600 7518 6386 5903 5378 4850 4325 3871 2215 1869 1519 632.8 528.7 403.8 3688 3118 2535 2040 1769 1540 899.2 757.6 353.8 279.7 711.8 553.6 403.4 370 312.6

mm 118.9 117.1 115.6 114.0 113.3 112.8 112.0 111.5 110.5 110.0 108.4 106.7 109.0 108.2 105.2 94.2 92.7 91.7 89.7 88.9 88.1 87.6 86.9 87.1 85.3 68.3 67.6 65.0 54.9 54.1

mm 67.8 67.3 66.8 66.0 65.8 65.5 65.3 65.0 64.5 50.8 50.3 49.3 34.0 33.3 31.8 53.8 53.3 52.8 51.8 51.6 51.0 41.1 40.9 30.5 29.5 38.6 38.1 36.8 32.5 32.0

cm3 2070.0 1842.2 1634.1 1411.2 1312.8 1207.9 1099.8 990.0 894.9 804.7 691.6 573.6 504.8 432.7 352.4 990.0 852.3 708.0 581.8 509.7 449.1 398.3 340.9 278.6 231.1 275.4 219.6 165.5 162.9 139.8

cm3 740.8 654.0 576.9 493.3 457.3 417.9 378.6 339.3 304.8 218.0 183.6 150.8 85.2 72.1 55.7 350.7 298.3 245.8 198.3 173.7 150.8 108.2 91.8 52.4 42.6 91.8 72.1 52.4 58.0 49.2

mm 30.67 28.87 27.18 25.32 24.70 23.46 22.36 21.21 20.56 23.09 22.37 22.29 26.74 25.76 26.74 23.91 22.17 19.85 18.85 17.59 17.05 18.70 17.62 20.96 21.20 15.51 14.09 14.32 12.20 11.61

mm 53.40 52.69 52.02 51.35 50.81 50.79 50.53 50.36 49.78 38.85 37.95 36.50 25.52 25.10 23.60 41.99 41.47 41.04 39.86 39.72 39.05 31.08 30.74 23.17 21.98 29.56 29.20 27.19 25.31 24.70

mm3 2417749.20 2129348.70 1872858.00 1604618.40 1486208.00 1358920.80 1226019.60 1099722.50 988827.60 900201.40 767898.30 636704.60 567930.00 484617.60 394052.40 1151398.90 978018.30 802165.00 653878.50 567976.50 496566.00 444978.00 377104.00 312826.60 259369.00 310422.60 244113.90 182572.80 185856.00 157226.70

mm3 1134216.00 1000583.10 879138.00 751250.50 694064.60 635890.80 575536.70 516190.00 462456.20 331779.00 281209.50 228490.00 140360.00 118974.00 94164.00 533692.90 456584.70 373464.00 302537.40 264138.00 229614.00 165034.80 139867.00 87814.30 70995.40 140114.40 110668.00 80482.40 89091.20 74841.00

19.35

106

122

7.11

8.30

7.95

25.1

470.3

156.5

43.7

25.1

89.3

31.1

10.47

23.27

106750.30

58407.70

Index

10" WF 10 x 10

Web

Weight

K = Kompak


NK = Non Kompak

Area






K

K

K

K

K

S = Slender


131


Weight

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8


Web

Flange


Momen

Radius

Modulus

Centre

Radius

Inersia

of Gyration

of Section


Area

Modulus


of Plastis

d

B

r

A

Ix

kg/m 166.70 148.80 132.40 114.60 107.10 98.22 89.29 80.36 72.92 66.97 58.04 49.11 43.16 37.20 31.25 99.71 86.31 71.43 59.53 52.09 46.13 41.67 35.72 29.76 25.30 37.20 29.76 23.07 27.53 23.81

mm 289 282 276 270 267 264 260 257 254 257 252 248 260 256 251 229 222 216 210 206 203 205 201 207 203 162 157 152 130 127

mm 265 263 261 259 258 257 256 255 254 204 203 202 147 146 146 210 209 206 205 204 203 166 165 134 133 154 153 152 128 127

mm 19.18 17.40 15.62 13.59 12.95 11.61 10.54 9.35 8.64 8.89 8.08 7.42 7.34 6.40 6.10 14.61 12.95 10.29 9.27 8.00 7.32 7.24 6.22 6.30 5.84 8.13 6.55 6.10 6.73 6.10

mm 31.70 28.40 25.35 22.05 20.52 19.00 17.35 15.70 14.17 15.70 13.41 11.00 12.70 10.92 8.64 23.70 20.52 17.35 14.17 12.52 11.00 11.76 10.11 9.60 7.82 11.58 9.32 6.83 10.67 9.14

mm 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 8.12 8.12 8.12 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 8.12 8.12 6.35 6.35 6.35 7.62 7.62

cm2 212.4 189.9 169.0 146.3 136.6 125.2 113.9 102.5 92.9 85.4 74.1 62.6 55.0 47.4 39.9 127.1 110.1 91.0 75.9 66.5 58.8 53.1 45.5 37.9 32.3 47.4 37.9 29.6 35.2 30.3

cm4 29920 26020 22580 19030 17510 15920 14310 12720 11360 10350 8729 7114 6548 5545 4425 11310 9462 7647 6090 5266 4567 4071 3434 2881 2348 2227 1736 1261 1057 886.7

cm4 9799 8600 7518 6386 5903 5378 4850 4325 3871 2215 1869 1519 632.8 528.7 403.8 3688 3118 2535 2040 1769 1540 899.2 757.6 353.8 279.7 711.8 553.6 403.4 370 312.6

mm 118.9 117.1 115.6 114.0 113.3 112.8 112.0 111.5 110.5 110.0 108.4 106.7 109.0 108.2 105.2 94.2 92.7 91.7 89.7 88.9 88.1 87.6 86.9 87.1 85.3 68.3 67.6 65.0 54.9 54.1

mm 67.8 67.3 66.8 66.0 65.8 65.5 65.3 65.0 64.5 50.8 50.3 49.3 34.0 33.3 31.8 53.8 53.3 52.8 51.8 51.6 51.0 41.1 40.9 30.5 29.5 38.6 38.1 36.8 32.5 32.0

cm3 2070.0 1842.2 1634.1 1411.2 1312.8 1207.9 1099.8 990.0 894.9 804.7 691.6 573.6 504.8 432.7 352.4 990.0 852.3 708.0 581.8 509.7 449.1 398.3 340.9 278.6 231.1 275.4 219.6 165.5 162.9 139.8

cm3 740.8 654.0 576.9 493.3 457.3 417.9 378.6 339.3 304.8 218.0 183.6 150.8 85.2 72.1 55.7 350.7 298.3 245.8 198.3 173.7 150.8 108.2 91.8 52.4 42.6 91.8 72.1 52.4 58.0 49.2

mm 30.67 28.87 27.18 25.32 24.70 23.46 22.36 21.21 20.56 23.09 22.37 22.29 26.74 25.76 26.74 23.91 22.17 19.85 18.85 17.59 17.05 18.70 17.62 20.96 21.20 15.51 14.09 14.32 12.20 11.61

mm 53.40 52.69 52.02 51.35 50.81 50.79 50.53 50.36 49.78 38.85 37.95 36.50 25.52 25.10 23.60 41.99 41.47 41.04 39.86 39.72 39.05 31.08 30.74 23.17 21.98 29.56 29.20 27.19 25.31 24.70

mm3 2417749.20 2129348.70 1872858.00 1604618.40 1486208.00 1358920.80 1226019.60 1099722.50 988827.60 900201.40 767898.30 636704.60 567930.00 484617.60 394052.40 1151398.90 978018.30 802165.00 653878.50 567976.50 496566.00 444978.00 377104.00 312826.60 259369.00 310422.60 244113.90 182572.80 185856.00 157226.70

mm3 1134216.00 1000583.10 879138.00 751250.50 694064.60 635890.80 575536.70 516190.00 462456.20 331779.00 281209.50 228490.00 140360.00 118974.00 94164.00 533692.90 456584.70 373464.00 302537.40 264138.00 229614.00 165034.80 139867.00 87814.30 70995.40 140114.40 110668.00 80482.40 89091.20 74841.00

19.35

106

122

7.11

8.30

7.95

25.1

470.3

156.5

43.7

25.1

89.3

31.1

10.47

23.27

106750.30

58407.70

K = Kompak

t2

Corner Sectional

t1

Index

10" WF 10 x 10

Section

NK = Non Kompak

Iy

rx

ry

Sx

Sy

Cx

Cy

Zx

Zy






K

K

K

K

K

S = Slender

Gambar 61. Menentukan nilai Zx dan kekompakan profil WF 10 x 10 – 89,29 dengan tabel profil 132


12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2






BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm 4165.944 4138.786 3421.831 3394.674 3378.379 2650.561 2634.267 2607.109 2053.099 2015.078 1944.469 4486.401 4415.792 4361.477 4318.025 4290.868 4263.710 4247.416 4247.416 4209.395 4193.101 4165.944 3465.283 3421.831 2704.876 2677.719 2677.719 2069.393 2025.941

mm 3896.883 3871.480 3200.830 3175.426 3160.184 2479.373 2464.131 2438.728 1920.498 1884.933 1818.884 4196.644 4130.595 4079.788 4039.142 4013.739 3988.336 3973.094 3973.094 3937.529 3922.287 3896.883 3241.475 3200.830 2530.180 2504.776 2504.776 1935.740 1895.095

mm 3818.150 3793.260 3136.160 3111.270 3096.336 2429.279 2414.345 2389.455 1881.696 1846.850 1782.135 4111.854 4047.140 3997.359 3957.535 3932.645 3907.755 3892.821 3892.821 3857.975 3843.041 3818.150 3175.984 3136.160 2479.060 2454.170 2454.170 1896.630 1856.806

mm 3545.064 3521.954 2911.851 2888.742 2874.876 2255.529 2241.663 2218.553 1747.111 1714.757 1654.671 3817.761 3757.675 3711.455 3674.479 3651.369 3628.259 3614.393 3614.393 3582.039 3568.174 3545.064 2948.827 2911.851 2301.749 2278.639 2278.639 1760.977 1724.001

mm 2981.475 2962.039 2448.930 2429.494 2417.832 1896.949 1885.287 1865.851 1469.358 1442.147 1391.614 3210.819 3160.285 3121.413 3090.316 3070.880 3051.444 3039.782 3039.782 3012.572 3000.910 2981.475 2480.027 2448.930 1935.820 1916.385 1916.385 1481.019 1449.922

mm 16940.236 15782.602 14061.439 13007.109 11922.046 9549.762 8835.354 8149.834 6289.141 5837.422 5336.600 44331.712 37512.548 30981.652 27596.500 24566.241 22889.807 21317.291 19927.128 18448.369 17000.089 15578.514 13531.624 12331.774 10631.945 9683.331 8972.881 7137.268 6374.146

mm 14244.395 13330.874 11818.030 10989.928 10149.497 8117.125 7567.394 7040.370 5456.907 5108.409 4715.703 36537.296 30936.081 25584.690 22819.895 20356.144 18998.476 17732.111 16620.694 15439.059 14297.000 13185.170 11413.090 10473.634 8966.872 8225.007 7682.314 6095.448 5503.750

mm 13551.007 12700.239 11240.993 10471.054 9692.884 7748.235 7240.013 6752.503 5240.269 4917.179 4551.051 34517.665 29232.760 24188.105 21584.855 19268.821 17994.292 16807.794 15769.040 14664.585 13601.754 12569.419 10868.204 9995.272 8538.616 7849.566 7349.153 5826.782 5277.987

mm 11424.256 10764.538 9471.183 8878.281 8287.525 6613.635 6229.218 5858.507 4565.094 4316.470 4028.392 28279.790 23974.714 19881.698 17780.305 15923.618 14907.508 13969.073 13155.536 12289.172 11469.271 10678.392 9196.216 8524.424 7224.525 6695.136 6320.737 4998.600 4577.118

mm 8095.321 7720.392 6702.105 6372.506 6053.013 4814.013 4605.554 4398.687 3452.462 3307.559 3129.736 18400.378 15663.421 13099.668 11806.158 10688.169 10085.225 9540.702 9080.799 8582.799 8130.894 7696.966 6571.141 6194.179 5161.491 4865.938 4669.868 3674.928 3433.775

KNm 499.432 456.161 431.675 394.566 351.529 299.799 269.661 239.716 213.655 190.524 166.503 1070.550 892.788 721.840 641.316 562.416 522.433 483.368 445.154 409.489 371.441 333.968 297.845 268.364 249.651 222.848 197.723 177.308 151.510

KNm 570.780 521.327 493.343 450.932 401.747 342.628 308.184 273.961 244.177 217.742 190.289 1223.486 1020.329 824.960 732.933 642.762 597.066 552.420 508.747 467.987 424.504 381.678 340.394 306.701 285.315 254.683 225.969 202.638 173.154

KNm 594.562 543.049 513.899 469.721 418.487 356.904 321.025 285.376 254.351 226.814 198.218 1274.465 1062.842 859.334 763.472 669.543 621.944 575.438 529.945 487.487 442.192 397.581 354.577 319.480 297.203 265.295 235.385 211.081 180.369

KNm 689.692 629.937 596.123 544.877 485.445 414.008 372.389 331.036 295.047 263.105 229.933 1478.379 1232.897 996.827 885.627 776.670 721.455 667.508 614.736 565.485 512.942 461.194 411.309 370.597 344.756 307.742 273.046 244.854 209.228

KNm 975.082 890.600 842.795 770.343 686.319 585.322 526.481 468.016 417.135 371.975 323.595 2090.122 1743.062 1409.307 1252.094 1098.051 1019.988 943.718 869.110 799.478 721.696 644.163 581.506 522.755 487.413 435.084 386.031 346.173 295.805

(*1) Lp = 1,76.ry.√(E/fy)

(*2) Lr = ry (x1/fL) √ (1+(√(1+x2.fL2))

(*3) Mn = Mp


Mn = Mr ( λr/λ )2

Gambar 62. Menentukan nilai Lp, Lr, Mnx profil WF 12 x 12 – 96,73 dengan tabel profil 133

Section Index

10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8







BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm 3682.542 3655.385 3628.227 3584.775 3573.912 3557.618 3546.755 3530.461 3503.303 2759.191 2732.033 2677.719 1846.702 1808.682 1727.210 2922.135 2894.978 2867.820 2813.506 2802.643 2770.054 2232.337 2221.474 1656.601 1602.286 2096.550 2069.393 1998.784 1765.230 1738.073

mm 3444.703 3419.299 3393.896 3353.250 3343.089 3327.847 3317.686 3302.444 3277.040 2580.987 2555.583 2504.776 1727.432 1691.867 1615.657 2733.407 2708.004 2682.600 2631.793 2621.632 2591.148 2088.160 2077.999 1549.608 1498.801 1961.143 1935.740 1869.691 1651.222 1625.818

mm 3375.106 3350.215 3325.325 3285.501 3275.545 3260.611 3250.655 3235.721 3210.830 2528.840 2503.950 2454.170 1692.531 1657.685 1583.014 2678.181 2653.291 2628.401 2578.620 2568.664 2538.796 2045.971 2036.015 1518.300 1468.519 1921.520 1896.630 1831.916 1617.860 1592.970

mm 3133.707 3110.597 3087.487 3050.511 3041.267 3027.401 3018.157 3004.291 2981.181 2347.969 2324.859 2278.639 1571.475 1539.121 1469.792 2486.629 2463.519 2440.409 2394.189 2384.945 2357.213 1899.636 1890.392 1409.706 1363.486 1784.087 1760.977 1700.891 1502.146 1479.036

mm 2635.515 2616.079 2596.643 2565.545 2557.771 2546.109 2538.335 2526.673 2507.237 1974.692 1955.256 1916.385 1321.645 1294.434 1236.126 2091.308 2071.872 2052.436 2013.564 2005.790 1982.467 1597.635 1589.861 1185.593 1146.721 1500.455 1481.019 1430.486 1263.337 1243.901

mm 32228.578 28752.163 25552.262 22074.114 20547.649 19010.160 17411.919 15862.091 14407.154 12450.142 10794.694 9165.433 6887.775 6079.698 5113.950 23823.857 20558.302 17294.528 14058.379 12556.161 11107.378 9479.871 8351.140 5924.808 5043.380 11140.955 9066.230 6886.536 10928.523 9260.798

mm 26574.349 23722.479 21102.776 18264.486 17024.800 15780.191 14493.692 13256.509 12103.457 10404.600 9096.916 7829.388 5836.336 5206.938 4453.735 19651.840 16976.997 14314.932 11696.041 10496.104 9348.442 7950.012 7065.838 5040.483 4355.787 9249.846 7587.652 5876.400 9041.837 7687.945

mm 25109.735 22420.184 19951.429 17279.814 16114.929 14946.720 13741.525 12585.739 11510.895 9877.998 8660.257 7484.816 5565.779 4981.601 4281.339 18571.449 16050.251 13544.953 11087.033 9965.801 8896.049 7556.425 6735.174 4812.724 4177.409 8761.902 7207.130 5615.986 8554.168 7282.096

mm 20587.952 18401.657 16401.439 14247.756 13315.533 12384.830 11432.050 10528.075 9693.517 8262.580 7320.566 6422.517 4734.573 4285.890 3742.287 15237.026 13192.596 11174.534 9216.788 8339.089 7508.339 6349.353 5719.770 4111.938 3623.541 7262.216 6040.021 4813.587 7052.445 6034.662

mm 13437.058 12058.231 10811.746 9491.936 8933.816 8382.960 7830.244 7319.045 6851.005 5743.281 5219.125 4723.986 3422.055 3168.453 2846.777 9970.065 8692.112 7458.744 6299.443 5801.978 5334.354 4463.827 4119.546 2998.879 2719.549 4919.977 4218.941 3532.925 4696.700 4086.207

KNm 507.727 447.163 393.300 336.970 312.104 285.373 257.464 230.942 207.654 189.042 161.259 133.708 119.265 101.770 82.751 241.794 205.384 168.455 137.314 119.275 104.279 93.445 79.192 65.694 54.467 65.189 51.264 38.340 39.030 33.018

KNm 580.260 511.044 449.486 385.108 356.690 326.141 294.245 263.933 237.319 216.048 184.296 152.809 136.303 116.308 94.573 276.336 234.724 192.520 156.931 136.314 119.176 106.795 90.505 75.078 62.249 74.501 58.587 43.781 44.605 37.734

KNm 604.437 532.337 468.215 401.155 371.552 339.730 306.505 274.931 247.207 225.050 191.975 159.176 141.983 121.154 98.513 287.850 244.505 200.541 163.470 141.994 124.142 111.245 94.276 78.207 64.842 77.606 61.028 45.548 46.464 39.307

KNm 701.147 617.511 543.129 465.339 431.000 394.087 355.546 318.920 286.760 261.058 222.691 184.644 164.700 140.539 114.275 333.906 283.625 232.628 189.625 164.713 144.004 129.044 109.360 90.720 75.217 90.023 70.793 52.567 53.898 45.596

KNm 991.277 873.033 767.872 657.894 609.345 557.158 502.668 450.886 403.549 369.083 314.838 259.306 232.851 198.693 161.483 472.074 400.988 328.888 268.090 232.870 202.205 182.441 154.613 128.259 106.234 127.273 100.087 73.216 76.201 64.463

1363.301

1275.251

1249.486

1160.119

975.685

8705.578

7201.685

6812.930

5615.696

3737.150

22.418

25.620

26.688

30.958

43.768

1

(* ) Lp = 1,76.ry.√(E/fy)

2

2

(* ) Lr = ry (x1/fL) √ (1+(√(1+x2.fL ))

3

(* ) Mn = Mp


Mn = Mr ( λr/λ )

2


Section Index

10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8







BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm 3682.542 3655.385 3628.227 3584.775 3573.912 3557.618 3546.755 3530.461 3503.303 2759.191 2732.033 2677.719 1846.702 1808.682 1727.210 2922.135 2894.978 2867.820 2813.506 2802.643 2770.054 2232.337 2221.474 1656.601 1602.286 2096.550 2069.393 1998.784 1765.230 1738.073

mm 3444.703 3419.299 3393.896 3353.250 3343.089 3327.847 3317.686 3302.444 3277.040 2580.987 2555.583 2504.776 1727.432 1691.867 1615.657 2733.407 2708.004 2682.600 2631.793 2621.632 2591.148 2088.160 2077.999 1549.608 1498.801 1961.143 1935.740 1869.691 1651.222 1625.818

mm 3375.106 3350.215 3325.325 3285.501 3275.545 3260.611 3250.655 3235.721 3210.830 2528.840 2503.950 2454.170 1692.531 1657.685 1583.014 2678.181 2653.291 2628.401 2578.620 2568.664 2538.796 2045.971 2036.015 1518.300 1468.519 1921.520 1896.630 1831.916 1617.860 1592.970

mm 3133.707 3110.597 3087.487 3050.511 3041.267 3027.401 3018.157 3004.291 2981.181 2347.969 2324.859 2278.639 1571.475 1539.121 1469.792 2486.629 2463.519 2440.409 2394.189 2384.945 2357.213 1899.636 1890.392 1409.706 1363.486 1784.087 1760.977 1700.891 1502.146 1479.036

mm 2635.515 2616.079 2596.643 2565.545 2557.771 2546.109 2538.335 2526.673 2507.237 1974.692 1955.256 1916.385 1321.645 1294.434 1236.126 2091.308 2071.872 2052.436 2013.564 2005.790 1982.467 1597.635 1589.861 1185.593 1146.721 1500.455 1481.019 1430.486 1263.337 1243.901

mm 32228.578 28752.163 25552.262 22074.114 20547.649 19010.160 17411.919 15862.091 14407.154 12450.142 10794.694 9165.433 6887.775 6079.698 5113.950 23823.857 20558.302 17294.528 14058.379 12556.161 11107.378 9479.871 8351.140 5924.808 5043.380 11140.955 9066.230 6886.536 10928.523 9260.798

mm 26574.349 23722.479 21102.776 18264.486 17024.800 15780.191 14493.692 13256.509 12103.457 10404.600 9096.916 7829.388 5836.336 5206.938 4453.735 19651.840 16976.997 14314.932 11696.041 10496.104 9348.442 7950.012 7065.838 5040.483 4355.787 9249.846 7587.652 5876.400 9041.837 7687.945

mm 25109.735 22420.184 19951.429 17279.814 16114.929 14946.720 13741.525 12585.739 11510.895 9877.998 8660.257 7484.816 5565.779 4981.601 4281.339 18571.449 16050.251 13544.953 11087.033 9965.801 8896.049 7556.425 6735.174 4812.724 4177.409 8761.902 7207.130 5615.986 8554.168 7282.096

mm 20587.952 18401.657 16401.439 14247.756 13315.533 12384.830 11432.050 10528.075 9693.517 8262.580 7320.566 6422.517 4734.573 4285.890 3742.287 15237.026 13192.596 11174.534 9216.788 8339.089 7508.339 6349.353 5719.770 4111.938 3623.541 7262.216 6040.021 4813.587 7052.445 6034.662

mm 13437.058 12058.231 10811.746 9491.936 8933.816 8382.960 7830.244 7319.045 6851.005 5743.281 5219.125 4723.986 3422.055 3168.453 2846.777 9970.065 8692.112 7458.744 6299.443 5801.978 5334.354 4463.827 4119.546 2998.879 2719.549 4919.977 4218.941 3532.925 4696.700 4086.207

KNm 507.727 447.163 393.300 336.970 312.104 285.373 257.464 230.942 207.654 189.042 161.259 133.708 119.265 101.770 82.751 241.794 205.384 168.455 137.314 119.275 104.279 93.445 79.192 65.694 54.467 65.189 51.264 38.340 39.030 33.018

KNm 580.260 511.044 449.486 385.108 356.690 326.141 294.245 263.933 237.319 216.048 184.296 152.809 136.303 116.308 94.573 276.336 234.724 192.520 156.931 136.314 119.176 106.795 90.505 75.078 62.249 74.501 58.587 43.781 44.605 37.734

KNm 604.437 532.337 468.215 401.155 371.552 339.730 306.505 274.931 247.207 225.050 191.975 159.176 141.983 121.154 98.513 287.850 244.505 200.541 163.470 141.994 124.142 111.245 94.276 78.207 64.842 77.606 61.028 45.548 46.464 39.307

KNm 701.147 617.511 543.129 465.339 431.000 394.087 355.546 318.920 286.760 261.058 222.691 184.644 164.700 140.539 114.275 333.906 283.625 232.628 189.625 164.713 144.004 129.044 109.360 90.720 75.217 90.023 70.793 52.567 53.898 45.596

KNm 991.277 873.033 767.872 657.894 609.345 557.158 502.668 450.886 403.549 369.083 314.838 259.306 232.851 198.693 161.483 472.074 400.988 328.888 268.090 232.870 202.205 182.441 154.613 128.259 106.234 127.273 100.087 73.216 76.201 64.463

1363.301

1275.251

1249.486

1160.119

975.685

8705.578

7201.685

6812.930

5615.696

3737.150

22.418

25.620

26.688

30.958

43.768

1

(* ) Lp = 1,76.ry.√(E/fy)

2

2

(* ) Lr = ry (x1/fL) √ (1+(√(1+x2.fL ))

3

(* ) Mn = Mp


Mn = Mr ( λr/λ )

2


Kuat Aksial Nominal Nn ( KN ) *2 Section

Kc = 1 ( sendi - sendi )


12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2

BJ 37 L=3m 3506.508 3252.747 2940.314 2696.864 2414.609 1934.615 1745.803 1559.236 1226.364 1084.793 934.979 8053.631 6812.256 5606.667 5052.865 4454.613 4151.889 3858.564 3562.431 3304.412 3008.264 2712.374 2315.863 2106.806 1839.742 1648.914 1465.487 1167.521 992.405

L=5m 2991.087 2768.511 2388.094 2184.898 1954.117 1422.746 1280.188 1136.622 650.832 560.870 459.764 6975.484 5878.846 4824.861 4342.494 3823.278 3558.294 3304.732 3051.104 2824.195 2569.412 2313.683 1887.429 1711.127 1367.107 1220.000 1084.286 626.246 516.686

L=7m 2477.720 2288.660 1795.923 1624.131 1442.494 771.990 689.775 605.847 331.971 286.137 234.630 5892.098 4947.269 4047.594 3630.279 3191.540 2965.635 2751.412 2540.250 2345.205 2130.039 1916.580 1443.934 1286.822 758.568 668.984 594.565 319.532 263.652

BJ 41 L=9m 1828.244 1675.472 1086.530 982.467 872.522 467.115 417.292 366.570 200.830 173.082 141.926 4795.343 3939.221 3172.338 2807.291 2448.061 2255.219 2082.186 1922.385 1753.756 1586.441 1414.194 873.882 778.525 458.847 404.659 359.645 193.302 159.480

L=12m 1028.387 942.488 611.127 552.610 490.926 262.720 234.744 206.174 112.969 97.358 79.830 2696.680 2215.719 1784.221 1578.975 1377.198 1268.511 1170.912 1081.048 986.676 892.035 795.484 491.495 437.887 258.085 227.607 202.288 108.727 89.714

L=3m 3635.949 3372.835 3046.875 2792.208 2500.000 1999.205 1804.124 1610.103 1262.255 1116.690 961.408 8358.071 7063.309 5818.727 5239.190 4623.162 4305.046 4000.917 3693.859 3426.349 3119.287 2812.500 2397.648 2183.160 1901.042 1703.911 1514.366 1201.619 1021.543

L=5m 3089.147 2861.562 2457.983 2248.954 2010.076 1455.440 1308.976 1162.393 650.722 560.870 459.919 7208.000 6075.119 4986.166 4484.252 3951.296 3674.628 3410.156 3148.438 2916.667 2653.577 2389.535 1942.484 1761.204 1398.055 1247.808 1109.001 626.318 516.696

L=7m 2541.454 2347.716 1795.396 1623.663 1442.643 772.064 689.917 605.791 332.029 286.094 234.614 6055.108 5081.449 4157.877 3727.094 3279.009 3043.126 2825.243 2608.414 2406.812 2187.500 1965.880 1443.934 1286.445 758.593 669.017 594.595 319.532 263.618

BJ 50 L=9m 1827.982 1675.156 1086.267 982.483 872.549 467.038 417.335 366.494 200.836 173.085 141.929 4792.553 3939.433 3171.590 2807.147 2447.689 2254.655 2081.049 1921.335 1754.098 1586.287 1413.991 873.810 778.337 458.787 404.643 359.630 193.293 159.479

L=12m 1028.387 942.375 611.099 552.581 490.878 262.732 234.748 206.165 112.974 97.358 79.831 2696.596 2216.020 1784.300 1578.656 1377.139 1268.243 1171.026 1081.154 986.825 892.157 795.484 491.408 437.867 258.091 227.612 202.292 108.723 89.709

L=3m 4145.830 3842.435 3456.367 3164.975 2833.868 2245.881 2025.326 1807.792 1396.727 1233.839 1058.612 9536.131 8059.364 6633.454 5978.462 5270.822 4908.296 4561.622 4211.532 3906.655 3556.604 3206.906 2719.676 2476.570 2138.384 1915.391 1702.320 1331.116 1129.272

L=5m 3460.030 3202.985 2719.840 2485.714 2223.526 1513.567 1352.466 1187.654 650.611 560.870 459.791 8102.016 6824.711 5598.087 5031.379 4430.372 4120.590 3827.211 3533.485 3268.774 2974.080 2676.422 2151.550 1948.831 1486.617 1311.238 1165.374 626.308 516.727

L=7m 2776.336 2563.919 1795.634 1623.874 1442.364 772.054 689.935 605.798 332.021 286.119 234.602 6665.561 5582.683 4564.379 4087.995 3592.857 3333.313 3091.209 2853.968 2631.254 2390.399 2147.568 1443.934 1286.615 758.415 668.899 594.490 319.532 263.657

L=9m 1828.018 1675.744 1086.484 982.534 872.640 467.064 417.316 366.529 200.831 173.074 141.924 4794.312 3940.133 3170.834 2806.670 2447.740 2255.122 2081.562 1921.809 1754.346 1585.779 1414.019 873.570 778.492 458.875 404.673 359.657 193.286 159.495

L=12m 1028.387 942.261 611.122 552.585 490.900 262.710 234.734 206.177 112.976 97.358 79.830 2696.317 2215.633 1784.017 1579.014 1376.944 1268.465 1170.728 1080.879 986.758 892.056 795.484 491.499 437.884 258.110 227.629 202.307 108.725 89.712

*2 N n = A . f y / ω

Gambar 65. Menentukan nilai Nn profil WF 12 x 12 – 96,73 dengan tabel profil 136

Kuat Aksial Nominal Nn ( KN ) * Section


Index L=3m 4539.270 4047.602 3598.935 10" WF 3104.509 10 x 10 2896.113 2652.074 2408.458 2165.493 1959.227 10" WF 1667.697 10 x 8 1441.167 1208.689 10" WF 875.332 10 x 5-3/4 743.529 604.927 2533.555 2187.417 1801.980 8" WF 8x8 1493.115 1306.056 1150.122 8" WF 945.401 8 x 6-1/2 807.692 8" WF 555.311 8 x 5-1/4 460.333 816.069 6" WF 6x6 647.863 495.743 5" WF 542.234 5x5 461.421 4"WF 277.444 4x4

2

BJ 37

BJ 41

BJ 50

L=5m 3762.066 3351.176 2971.429 2555.459 2380.828 2177.391 1978.003 1774.892 1601.724 1251.282 1076.513 894.286 401.674 332.025 254.850 1947.893 1676.650 1375.315 1130.025 987.013 864.176 566.715 480.793 222.668 177.544 446.118 347.507 253.149 234.830 196.011

L=7m 2986.292 2649.767 2343.154 2005.254 1865.908 1703.401 1544.407 1384.356 1244.196 710.126 604.127 490.379 204.889 169.380 130.042 1185.773 1008.069 817.595 656.432 570.509 492.780 289.062 245.324 113.629 90.587 227.577 177.310 129.193 119.830 99.993

L=9m 1903.866 1677.130 1470.231 1242.353 1152.844 1046.969 946.701 844.273 753.561 429.686 365.456 296.624 123.958 102.475 78.661 717.108 609.726 494.537 397.079 345.174 298.193 174.875 148.395 68.733 54.799 137.682 107.264 78.152 72.484 60.487

L=12m 1070.643 943.114 826.911 698.920 648.546 589.032 532.606 474.903 423.878 241.698 205.595 166.841 69.721 57.640 44.246 403.425 343.002 278.217 223.338 194.161 167.725 98.362 83.470 38.663 30.825 77.447 60.333 43.957 40.772 34.025

L=3m 4703.277 4193.905 3729.038 3213.972 3000.879 2748.025 2495.618 2243.870 2030.157 1723.164 1490.346 1249.002 898.693 763.039 619.565 2619.538 2263.569 1864.754 1543.938 1350.528 1188.359 974.670 833.333 568.727 470.571 839.830 666.784 509.993 556.258 473.142

L=5m 3875.912 3452.727 3061.594 2631.295 2453.305 2242.120 2035.382 1827.746 1649.503 1280.744 1101.367 914.670 401.606 332.049 254.871 1998.428 1718.165 1409.542 1157.718 1011.253 885.009 566.702 480.718 222.679 177.570 446.118 347.547 253.208 234.823 195.990

L=7m 3049.971 2706.670 2393.768 2046.726 1905.692 1730.477 1565.636 1395.507 1245.308 710.187 604.158 490.403 204.918 169.376 130.031 1185.634 1008.242 817.610 656.291 570.571 492.875 289.058 245.283 113.626 90.590 227.611 177.310 129.173 119.830 100.000

L=9m 1903.226 1676.821 1470.204 1242.463 1153.229 1047.261 946.800 844.316 753.447 429.686 365.475 296.612 123.958 102.475 78.659 717.269 609.803 494.565 397.070 345.186 298.174 174.872 148.378 68.734 54.801 137.691 107.259 78.152 72.488 60.491

L=12m 1070.834 943.134 827.012 698.830 648.623 589.038 532.616 474.867 423.814 241.687 205.605 166.844 69.722 57.640 44.247 403.428 342.991 278.202 223.334 194.161 167.712 98.361 83.463 38.664 30.825 77.451 60.331 43.959 40.771 34.026

L=3m 5346.875 4768.052 4235.955 3651.205 3406.191 3119.244 2832.847 2547.129 2302.650 1940.909 1676.209 1404.022 985.785 834.608 675.088 2955.814 2552.278 2101.115 1738.626 1520.899 1338.462 1084.437 926.615 616.087 493.325 931.301 738.642 563.255 606.897 515.367

L=5m 4310.427 3837.700 3401.110 2921.970 2722.612 2488.554 2259.302 2027.626 1827.748 1386.674 1183.967 961.165 401.637 332.029 254.868 2179.716 1871.571 1533.411 1256.336 1096.362 958.516 566.661 480.692 222.715 177.531 446.118 347.542 253.215 234.869 195.974

L=7m 3146.667 2772.612 2430.750 2053.333 1905.664 1731.013 1565.450 1395.540 1245.827 710.136 604.260 490.317 204.914 169.390 130.029 1185.653 1008.019 817.661 656.310 570.562 492.832 289.047 245.317 113.617 90.590 227.583 177.310 129.180 119.830 99.994

L=9m 1903.314 1677.077 1470.116 1242.372 1152.826 1047.094 946.786 844.160 753.594 429.686 365.537 296.634 123.956 102.467 78.661 717.276 609.768 494.542 397.042 345.223 298.177 174.864 148.383 68.737 54.802 137.684 107.255 78.152 72.487 60.490

L=12m 1070.769 943.198 826.999 698.818 648.612 589.057 532.651 474.935 423.851 241.678 205.587 166.857 69.723 57.641 44.246 403.437 343.000 278.192 223.349 194.161 167.711 98.365 83.466 38.663 30.825 77.448 60.332 43.959 40.773 34.025

99.880

50.964

30.829

17.341

277.501

99.881

50.959

30.828

17.341

277.427

99.883

50.960

30.829

17.341

2

* Nn = A . fy / ω

Gambar 66. Menentukan nilai Nn profil WF 10 x 10 – 89,29 dengan tabel profil 137

Øb = 0.9 Beban Kritis Elastis Section Index 14" WF 14 x 12 14" WF 14 x 10 14" WF 14 x 8 14" WF 14 x 6-3/4

12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2

Komponen Tak Bergoyang Ncrb ( KN ) * kc = 1 ( sendi - sendi ) L=3m 84752.55 77683.64 72744.82 66144.22 58551.25 49577.94 44191.07 39095.45 35154.25 31028.23 26373.12 172671.59 140578.79 111578.67 97925.78 84892.27 78285.27 72084.14 65971.09 60411.33 54480.84 48630.40 43424.23 38911.80 36046.68 32045.02 28262.97 25628.51 21727.71

L=5m 30510.92 27966.11 26188.14 23811.92 21078.45 17848.06 15908.78 14074.36 12655.53 11170.16 9494.32 62161.77 50608.36 40168.32 35253.28 30561.22 28182.70 25950.29 23749.59 21748.08 19613.10 17506.94 15632.72 14008.25 12976.80 11536.21 10174.67 9226.26 7821.98

L=7m 15566.79 14268.42 13361.29 12148.94 10754.31 9106.15 8116.73 7180.80 6456.90 5699.06 4844.04 31715.19 25820.59 20494.04 17986.37 15592.46 14378.93 13239.94 12117.14 11095.96 10006.68 8932.11 7975.88 7147.07 6620.82 5885.82 5191.16 4707.28 3990.80

*3 Ncrb = π2. E . A/( Kc.L / rx )2

L=9m 9416.95 8631.52 8082.76 7349.36 6505.69 5508.66 4910.12 4343.94 3906.03 3447.58 2930.35 19185.73 15619.87 12397.63 10880.64 9432.47 8698.36 8009.35 7330.12 6712.37 6053.43 5403.38 4824.91 4323.53 4005.19 3560.56 3140.33 2847.61 2414.19

Gaya Aksial Menyebabkan Kolom 3

L=12m 5297.03 4855.23 4546.55 4134.01 3659.45 3098.62 2761.94 2443.47 2197.14 1939.26 1648.32 10791.97 8786.17 6973.67 6120.36 5305.77 4892.83 4505.26 4123.19 3775.71 3405.05 3039.40 2714.01 2431.99 2252.92 2002.81 1766.44 1601.78 1357.98

Mengalami Tegangan Leleh Ny ( KN ) *

4

Parameter

Konstanta

Øb Ny ( KN )

Puntir

Puntir

Torsi (J)

Lengkung (Iw)

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

3347.40 3108.00 2948.40 2709.00 2429.70 2112.60 1911.00 1713.60 1514.10 1354.50 1192.80 7568.40 6419.70 5298.30 4783.80 4225.20 3941.70 3666.60 3385.20 3145.80 2866.50 2589.30 2312.10 2112.60 1992.90 1793.40 1593.90 1434.30 1234.80

3825.60 3552.00 3369.60 3096.00 2776.80 2414.40 2184.00 1958.40 1730.40 1548.00 1363.20 8649.60 7336.80 6055.20 5467.20 4828.80 4504.80 4190.40 3868.80 3595.20 3276.00 2959.20 2642.40 2414.40 2277.60 2049.60 1821.60 1639.20 1411.20

3985.00 3700.00 3510.00 3225.00 2892.50 2515.00 2275.00 2040.00 1802.50 1612.50 1420.00 9010.00 7642.50 6307.50 5695.00 5030.00 4692.50 4365.00 4030.00 3745.00 3412.50 3082.50 2752.50 2515.00 2372.50 2135.00 1897.50 1707.50 1470.00

4622.60 4292.00 4071.60 3741.00 3355.30 2917.40 2639.00 2366.40 2090.90 1870.50 1647.20 10451.60 8865.30 7316.70 6606.20 5834.80 5443.30 5063.40 4674.80 4344.20 3958.50 3575.70 3192.90 2917.40 2752.10 2476.60 2201.10 1980.70 1705.20

6535.40 6068.00 5756.40 5289.00 4743.70 4124.60 3731.00 3345.60 2956.10 2644.50 2328.80 14776.40 12533.70 10344.30 9339.80 8249.20 7695.70 7158.60 6609.20 6141.80 5596.50 5055.30 4514.10 4124.60 3890.90 3501.40 3111.90 2800.30 2410.80

3012.66 2797.20 2653.56 2438.10 2186.73 1901.34 1719.90 1542.24 1362.69 1219.05 1073.52 6811.56 5777.73 4768.47 4305.42 3802.68 3547.53 3299.94 3046.68 2831.22 2579.85 2330.37 2080.89 1901.34 1793.61 1614.06 1434.51 1290.87 1111.32

3443.04 3196.80 3032.64 2786.40 2499.12 2172.96 1965.60 1762.56 1557.36 1393.20 1226.88 7784.64 6603.12 5449.68 4920.48 4345.92 4054.32 3771.36 3481.92 3235.68 2948.40 2663.28 2378.16 2172.96 2049.84 1844.64 1639.44 1475.28 1270.08

3586.50 3330.00 3159.00 2902.50 2603.25 2263.50 2047.50 1836.00 1622.25 1451.25 1278.00 8109.00 6878.25 5676.75 5125.50 4527.00 4223.25 3928.50 3627.00 3370.50 3071.25 2774.25 2477.25 2263.50 2135.25 1921.50 1707.75 1536.75 1323.00

4160.34 3862.80 3664.44 3366.90 3019.77 2625.66 2375.10 2129.76 1881.81 1683.45 1482.48 9406.44 7978.77 6585.03 5945.58 5251.32 4898.97 4557.06 4207.32 3909.78 3562.65 3218.13 2873.61 2625.66 2476.89 2228.94 1980.99 1782.63 1534.68

BJ 55

mm

4

5881.86 1568806.58 5461.20 1233908.86 5180.76 1342929.01 4760.10 1031628.72 4269.33 737396.40 3712.14 637664.08 3357.90 464530.06 3011.04 326355.63 2660.49 253670.77 2380.05 173832.44 2095.92 105013.07 13298.76 18398605.57 11280.33 11395714.19 9309.87 6474590.95 8405.82 4624963.36 7424.28 3255158.23 6926.13 2644606.74 6442.74 2116634.35 5948.28 1691961.86 5527.62 1336210.93 5036.85 1009343.38 4549.77 741181.28 4062.69 730643.73 3712.14 530243.60 3501.81 589692.77 3151.26 425864.94 2800.71 304938.92 2520.27 287532.90 2169.72 182291.54

Konstanta

6

11

mm x(10 ) 20.90 18.55 11.91 10.70 9.35 4.82 4.25 3.67 2.04 1.75 1.42 49.12 39.15 30.13 25.81 22.18 20.34 18.54 16.95 15.26 13.65 12.09 7.42 6.45 3.68 3.21 2.83 1.51 1.24

*4 N y = A . f y

Gambar 67. Menentukan nilai Ncr dan Øb.Ny profil WF 12 x 12 – 96,73 dengan tabel profil 138

Øb = 0.9 Beban Kritis Elastis

Gaya Aksial Menyebabkan Kolom

Parameter

Konstanta

Section

Komponen Tak Bergoyang Ncrb ( KN ) *3

Mengalami Tegangan Leleh Ny ( KN ) *4

Øb Ny ( KN )

Puntir

Puntir

Index

kc = 1 ( sendi - sendi )

Torsi (J)

Lengkung (Iw)

L=3m 65857.53 57111.82 49532.43 10" WF 41700.50 10 x 10 38458.98 34938.94 31336.25 27948.65 24878.69 10" WF 22663.68 10 x 8 19096.95 15631.13 10" WF 14331.87 10 x 5-3/4 12170.83 9684.82 24736.29 20750.76 16782.91 8" WF 8x8 13394.11 11526.90 10009.59 8" WF 8936.96 8 x 6-1/2 7535.95 8" WF 6306.13 8 x 5-1/4 5154.52 4849.61 6" WF 6x6 3798.57 2742.87 5" WF 2326.88 5x5 1945.02 4"WF 1051.29 4x4 3

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

Konstanta

L=5m 23708.71 20560.25 17831.67 15012.18 13845.23 12578.02 11281.05 10061.51 8956.33 8158.93 6874.90 5627.21 5159.47 4381.50 3486.54 8905.06 7470.27 6041.85 4821.88 4149.68 3603.45 3217.31 2712.94 2270.21 1855.63 1745.86 1367.48 987.43 837.68 700.21

L=7m 12096.28 10489.93 9097.79 7659.28 7063.89 6417.36 5755.64 5133.43 4569.56 4162.72 3507.60 2871.02 2632.38 2235.46 1778.84 4543.40 3811.36 3082.58 2460.14 2117.19 1838.50 1641.48 1384.15 1158.27 946.75 890.75 697.70 503.79 427.39 357.25

L=9m 7317.50 6345.76 5503.60 4633.39 4273.22 3882.10 3481.81 3105.41 2764.30 2518.19 2121.88 1736.79 1592.43 1352.31 1076.09 2748.48 2305.64 1864.77 1488.23 1280.77 1112.18 993.00 837.33 700.68 572.72 538.85 422.06 304.76 258.54 216.11

L=12m 4116.10 3569.49 3095.78 2606.28 2403.69 2183.68 1958.52 1746.79 1554.92 1416.48 1193.56 976.95 895.74 760.68 605.30 1546.02 1296.92 1048.93 837.13 720.43 625.60 558.56 471.00 394.13 322.16 303.10 237.41 171.43 145.43 121.56

mm4

mm6x(1011)

4460.40 3987.90 3549.00 3072.30 2868.60 2629.20 2391.90 2152.50 1950.90 1793.40 1556.10 1314.60 1155.00 995.40 837.90 2669.10 2312.10 1911.00 1593.90 1396.50 1234.80 1115.10 955.50 795.90 678.30 995.40 795.90 621.60 739.20 636.30

5097.60 4557.60 4056.00 3511.20 3278.40 3004.80 2733.60 2460.00 2229.60 2049.60 1778.40 1502.40 1320.00 1137.60 957.60 3050.40 2642.40 2184.00 1821.60 1596.00 1411.20 1274.40 1092.00 909.60 775.20 1137.60 909.60 710.40 844.80 727.20

5310.00 4747.50 4225.00 3657.50 3415.00 3130.00 2847.50 2562.50 2322.50 2135.00 1852.50 1565.00 1375.00 1185.00 997.50 3177.50 2752.50 2275.00 1897.50 1662.50 1470.00 1327.50 1137.50 947.50 807.50 1185.00 947.50 740.00 880.00 757.50

6159.60 5507.10 4901.00 4242.70 3961.40 3630.80 3303.10 2972.50 2694.10 2476.60 2148.90 1815.40 1595.00 1374.60 1157.10 3685.90 3192.90 2639.00 2201.10 1928.50 1705.20 1539.90 1319.50 1099.10 936.70 1374.60 1099.10 858.40 1020.80 878.70

8708.40 7785.90 6929.00 5998.30 5600.60 5133.20 4669.90 4202.50 3808.90 3501.40 3038.10 2566.60 2255.00 1943.40 1635.90 5211.10 4514.10 3731.00 3111.90 2726.50 2410.80 2177.10 1865.50 1553.90 1324.30 1943.40 1553.90 1213.60 1443.20 1242.30

4014.36 3589.11 3194.10 2765.07 2581.74 2366.28 2152.71 1937.25 1755.81 1614.06 1400.49 1183.14 1039.50 895.86 754.11 2402.19 2080.89 1719.90 1434.51 1256.85 1111.32 1003.59 859.95 716.31 610.47 895.86 716.31 559.44 665.28 572.67

4587.84 4101.84 3650.40 3160.08 2950.56 2704.32 2460.24 2214.00 2006.64 1844.64 1600.56 1352.16 1188.00 1023.84 861.84 2745.36 2378.16 1965.60 1639.44 1436.40 1270.08 1146.96 982.80 818.64 697.68 1023.84 818.64 639.36 760.32 654.48

4779.00 4272.75 3802.50 3291.75 3073.50 2817.00 2562.75 2306.25 2090.25 1921.50 1667.25 1408.50 1237.50 1066.50 897.75 2859.75 2477.25 2047.50 1707.75 1496.25 1323.00 1194.75 1023.75 852.75 726.75 1066.50 852.75 666.00 792.00 681.75

5543.64 4956.39 4410.90 3818.43 3565.26 3267.72 2972.79 2675.25 2424.69 2228.94 1934.01 1633.86 1435.50 1237.14 1041.39 3317.31 2873.61 2375.10 1980.99 1735.65 1534.68 1385.91 1187.55 989.19 843.03 1237.14 989.19 772.56 918.72 790.83

7837.56 7007.31 6236.10 5398.47 5040.54 4619.88 4202.91 3782.25 3428.01 3151.26 2734.29 2309.94 2029.50 1749.06 1472.31 4689.99 4062.69 3357.90 2800.71 2453.85 2169.72 1959.39 1678.95 1398.51 1191.87 1749.06 1398.51 1092.24 1298.88 1118.07

5627718.96 4016238.63 2834543.59 1851118.78 1486142.71 1175175.33 891347.69 657881.81 481783.60 526305.45 326355.63 179241.33 200741.53 126744.61 62777.33 1863687.42 1203890.80 717256.34 388841.09 266902.04 180128.67 179986.03 113670.08 79036.42 42401.44 159424.53 82574.87 32286.01 103660.18 64647.40

12.70 10.81 9.23 7.68 6.99 6.34 5.62 4.98 4.39 2.46 2.01 1.57 0.67 0.55 0.39 3.03 2.46 1.97 1.51 1.29 1.10 0.63 0.52 0.24 0.18 0.31 0.23 0.15 0.10 0.08

378.47

193.09

116.81

65.71

527.10

602.40

627.50

727.90

1029.10

474.39

542.16

564.75

655.11

926.19

46505.34

0.03

2

* Ncrb = π . E . A/( Kc.L / rx )

2

4

* Ny = A . fy




Parameter

Konstanta

Section



Øb Ny ( KN )

Puntir

Puntir

Index

kc = 1 ( sendi - sendi )

Torsi (J)

Lengkung (Iw)

L=3m 65857.53 57111.82 49532.43 10" WF 41700.50 10 x 10 38458.98 34938.94 31336.25 27948.65 24878.69 10" WF 22663.68 10 x 8 19096.95 15631.13 10" WF 14331.87 10 x 5-3/4 12170.83 9684.82 24736.29 20750.76 16782.91 8" WF 8x8 13394.11 11526.90 10009.59 8" WF 8936.96 8 x 6-1/2 7535.95 8" WF 6306.13 8 x 5-1/4 5154.52 4849.61 6" WF 6x6 3798.57 2742.87 5" WF 2326.88 5x5 1945.02 4"WF 1051.29 4x4 3

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

Konstanta

L=5m 23708.71 20560.25 17831.67 15012.18 13845.23 12578.02 11281.05 10061.51 8956.33 8158.93 6874.90 5627.21 5159.47 4381.50 3486.54 8905.06 7470.27 6041.85 4821.88 4149.68 3603.45 3217.31 2712.94 2270.21 1855.63 1745.86 1367.48 987.43 837.68 700.21

L=7m 12096.28 10489.93 9097.79 7659.28 7063.89 6417.36 5755.64 5133.43 4569.56 4162.72 3507.60 2871.02 2632.38 2235.46 1778.84 4543.40 3811.36 3082.58 2460.14 2117.19 1838.50 1641.48 1384.15 1158.27 946.75 890.75 697.70 503.79 427.39 357.25

L=9m 7317.50 6345.76 5503.60 4633.39 4273.22 3882.10 3481.81 3105.41 2764.30 2518.19 2121.88 1736.79 1592.43 1352.31 1076.09 2748.48 2305.64 1864.77 1488.23 1280.77 1112.18 993.00 837.33 700.68 572.72 538.85 422.06 304.76 258.54 216.11

L=12m 4116.10 3569.49 3095.78 2606.28 2403.69 2183.68 1958.52 1746.79 1554.92 1416.48 1193.56 976.95 895.74 760.68 605.30 1546.02 1296.92 1048.93 837.13 720.43 625.60 558.56 471.00 394.13 322.16 303.10 237.41 171.43 145.43 121.56

mm4

mm6x(1011)

4460.40 3987.90 3549.00 3072.30 2868.60 2629.20 2391.90 2152.50 1950.90 1793.40 1556.10 1314.60 1155.00 995.40 837.90 2669.10 2312.10 1911.00 1593.90 1396.50 1234.80 1115.10 955.50 795.90 678.30 995.40 795.90 621.60 739.20 636.30

5097.60 4557.60 4056.00 3511.20 3278.40 3004.80 2733.60 2460.00 2229.60 2049.60 1778.40 1502.40 1320.00 1137.60 957.60 3050.40 2642.40 2184.00 1821.60 1596.00 1411.20 1274.40 1092.00 909.60 775.20 1137.60 909.60 710.40 844.80 727.20

5310.00 4747.50 4225.00 3657.50 3415.00 3130.00 2847.50 2562.50 2322.50 2135.00 1852.50 1565.00 1375.00 1185.00 997.50 3177.50 2752.50 2275.00 1897.50 1662.50 1470.00 1327.50 1137.50 947.50 807.50 1185.00 947.50 740.00 880.00 757.50

6159.60 5507.10 4901.00 4242.70 3961.40 3630.80 3303.10 2972.50 2694.10 2476.60 2148.90 1815.40 1595.00 1374.60 1157.10 3685.90 3192.90 2639.00 2201.10 1928.50 1705.20 1539.90 1319.50 1099.10 936.70 1374.60 1099.10 858.40 1020.80 878.70

8708.40 7785.90 6929.00 5998.30 5600.60 5133.20 4669.90 4202.50 3808.90 3501.40 3038.10 2566.60 2255.00 1943.40 1635.90 5211.10 4514.10 3731.00 3111.90 2726.50 2410.80 2177.10 1865.50 1553.90 1324.30 1943.40 1553.90 1213.60 1443.20 1242.30

4014.36 3589.11 3194.10 2765.07 2581.74 2366.28 2152.71 1937.25 1755.81 1614.06 1400.49 1183.14 1039.50 895.86 754.11 2402.19 2080.89 1719.90 1434.51 1256.85 1111.32 1003.59 859.95 716.31 610.47 895.86 716.31 559.44 665.28 572.67

4587.84 4101.84 3650.40 3160.08 2950.56 2704.32 2460.24 2214.00 2006.64 1844.64 1600.56 1352.16 1188.00 1023.84 861.84 2745.36 2378.16 1965.60 1639.44 1436.40 1270.08 1146.96 982.80 818.64 697.68 1023.84 818.64 639.36 760.32 654.48

4779.00 4272.75 3802.50 3291.75 3073.50 2817.00 2562.75 2306.25 2090.25 1921.50 1667.25 1408.50 1237.50 1066.50 897.75 2859.75 2477.25 2047.50 1707.75 1496.25 1323.00 1194.75 1023.75 852.75 726.75 1066.50 852.75 666.00 792.00 681.75

5543.64 4956.39 4410.90 3818.43 3565.26 3267.72 2972.79 2675.25 2424.69 2228.94 1934.01 1633.86 1435.50 1237.14 1041.39 3317.31 2873.61 2375.10 1980.99 1735.65 1534.68 1385.91 1187.55 989.19 843.03 1237.14 989.19 772.56 918.72 790.83

7837.56 7007.31 6236.10 5398.47 5040.54 4619.88 4202.91 3782.25 3428.01 3151.26 2734.29 2309.94 2029.50 1749.06 1472.31 4689.99 4062.69 3357.90 2800.71 2453.85 2169.72 1959.39 1678.95 1398.51 1191.87 1749.06 1398.51 1092.24 1298.88 1118.07

5627718.96 4016238.63 2834543.59 1851118.78 1486142.71 1175175.33 891347.69 657881.81 481783.60 526305.45 326355.63 179241.33 200741.53 126744.61 62777.33 1863687.42 1203890.80 717256.34 388841.09 266902.04 180128.67 179986.03 113670.08 79036.42 42401.44 159424.53 82574.87 32286.01 103660.18 64647.40

12.70 10.81 9.23 7.68 6.99 6.34 5.62 4.98 4.39 2.46 2.01 1.57 0.67 0.55 0.39 3.03 2.46 1.97 1.51 1.29 1.10 0.63 0.52 0.24 0.18 0.31 0.23 0.15 0.10 0.08

378.47

193.09

116.81

65.71

527.10

602.40

627.50

727.90

1029.10

474.39

542.16

564.75

655.11

926.19

46505.34

0.03

2

* Ncrb = π . E . A/( Kc.L / rx )

2

4

* Ny = A . fy


141

Grafik Hubungan Momen Nominal Kondisi FLB pada Sumbu X ( Mnx ) versus Mutu Baja 1000 900 800 Mn KNm

700 600 500

WF 12 x 12 - 126,50

400

WF 12 x 12 - 117,60

300

WF 12 x 12 - 107,10

200

WF 12 x 12 - 96,73

100 0 0

BJ 34 1

BJ2 37 BJ341 BJ450 Mutu Baja

BJ5 55

6

Gambar 70. Menentukan Mn profil WF 12 x 12 – 96,73 dengan grafik

Grafik Hubungan Momen Nominal Kondisi FLB pada Sumbu X ( Mnx ) versus Mutu Baja 200

Mn KNm

150 100

WF 6 x 6 - 37,20 WF 6 x 6 - 29,76

50

WF 6 x 6 - 23,07

0 0

BJ 34 BJ 37 BJ 41 BJ 50 1 2 3 4

BJ 55 5

6

Mutu Baja


142

Grafik Hubungan Momen Nominal Kondisi FLB pada Sumbu X ( Mnx ) versus Mutu Baja 550 500 450 400 Mn 350 KNm 300 250 200 150 100 50 0

WF 10 x 10 - 89,29 WF 10 x 10 - 80,36 WF 10 x 10 - 72,92 BJ 34 BJ 37 BJ 41 BJ 50 1 2 3 4

0

BJ 55 5

6

Mutu Baja


Grafik Hubungan Kuat Aksial Nominal ( Nn ) versus Panjang Bentang ( L ) 3000 A x i Nn s

2500 2000

KN 1500

WF 10 x 10 - 89,29

1000

WF 10 x 10 - 80,36

500

WF 10 x 10 - 72,92

T i t l e

0 0

2

4

6

8

10

12

14

L (m)

Gambar 73. Menentukan Nn profil WF 10 x 10 – 89,29 dengan grafik

143

Grafik Hubungan Kuat Aksial Nominal ( Nn ) versus Panjang Bentang ( L ) 4500 4000 3500 3000 2500 KN 2000 T 1500 i 1000 t 500 l 0 e 0 A x i Nsn

WF12 x 12 - 126,5 WF 12 x 12 - 117,6 WF 12 x 12 - 107,1 WF 12 x 12 - 96,73 2

4

6

8

10

12

14

L (m)

Gambar 74. Menentukan Nn profil WF 12 x 12 – 96,73 dengan grafik Grafik Hubungan Beban Kritis Elastis ( Ncrb ) versus Panjang Bentang ( L ) 70000 A x i Nn s

KN T i t l e

60000 50000 40000 30000

WF 12 x 12 - 117,60

20000

WF 12 x 12 - 107,10

10000

WF 12 x 12 - 96,73

0 0

2

4

6

8

10

12

14

L (m)

Gambar 75. Menentukan Ncrb profil WF 12 x 12 – 96,73 dengan grafik

144

Grafik Hubungan Beban Kritis Elastis ( Ncrb ) versus Panjang Bentang ( L ) 35000 A 30000 x 25000 i Ncrb 20000 s KN 15000 T i t l e

WF 10 x 10 - 89,29

10000

WF 10 x 10 - 80,36

5000

WF 10 x 10 - 72,92

0 0

2

4

6

8

10

12

14

L (m)

Gambar 76. Menentukan Ncrb profil WF 10 x 10 – 89,29 dengan grafik

145

Tabel 1.5 Langkah perhitungan analisis balok - kolom struktur baja secara manual, grafis dan dengan tabel Manual 1. Data analisis

Grafis 1. Data analisis

Tabel 1. Data analisis

Mu = M2 = 85 KNm

Mu = M2 = 85 KNm

Mu = M2 = 85 KNm

Profil WF 12 x 12 –



96,73

96,73

96,73

2. Cek Zx terhadap Sx Cx = [(305 x 15,39 x (15,39/2)) + (((308/2)15,39).9,91 x (((308/2)-15,39)/2 + 15,39)) + (2x(1(π/4).15,22(0,2234x

15,2 + 15,39))] / (305x15,39)+((308 /2-15,39)9,91) + (2x1- (π/4)15,22)] = 25,02 mm Zx = ½ A . a = ½ x 12330 x ( 308 -2 x 25,02 ) Zx = 1590323,4 mm3 Zx 1590323,4 = = 1,103 Sx 1442300 < 1,5 Oke


2. Cek Zx terhadap Sx Dari tabel didapat Zx =1590323,40 mm3 ( Lihat tabel halaman 130 ) Zx 1590323,40 = = 1,103 Sx 1442300 < 1,5 Oke

146

3. Cek kekompakan


Sayap b = 9,91 t 170 λp = = 9,98 fy λ=

3. Cek kekompakan Sayap Dari tabel didapat profil kompak ( Lihat tabel halaman 130) Badan

λ < λp maka profil

Dari tabel didapat

kompak

Øb.Ny = 3218,13 KN

Badan

( Lihat tabel halaman 3

Nu 1360 x 10 = Øb Ny 0,9 x 123,3 x 102 x 290 = 0,4226 > 0,125 λp = λp =

170

2,33 −

fy

𝑓𝑦

290

𝑓𝑦

λp =

665 290

= 39,0501

665 𝑓𝑦

kompak

fy 170 290

Nu Øb Ny

2,33 − 0,4226

=

665 290

= 39,0501

λp = 56,0032 > 665 𝑓𝑦

= 39,0501 λ=

308 − 2 x 25,02 = 26,030 9,91

λ < λp maka web

2,33 −

= 56,0032

= 39,0501

h λ= tw =

170

2,33 − 0,4226

λp = 56,0032 > 665

= 0,4226 > 0,125 λp =

170

=

Nu 1360 = Øb Ny 3218,13

Nu Øb Ny

= 56,0032 665

138)

=

h tw

308 − 2 x 25,02 = 26,030 9,91

λ < λp maka web kompak

147

4. Cek FLB

4. Cek FLB

Mn = Mp = Zx.fy

4. Cek FLB

Dari grafik didapat

Dari tabel didapat

= 1590323,4 x 290


Mn = 461,194 KNm

= 461,194 KNm

grafik halaman 141)


Sehingga

Sehingga

133)

Ø Mn = 0,9 x 461,194

Ø Mn = 0,9 x 460

Sehingga

= 415,075 KNm

= 414 KNm

Ø Mn = 0,9 x 461,194 = 415,075 KNm

5. Cek batas LTB Lp = 1,76. ry

5. Cek batas LTB E fy

Lp = 1,76. ry

= 3545,064 mm

Iw = 12

6

= 1,2091 x 10 mm EGJA 2

= 18624,4313 x2 = 4

Sx GJ

2

Iw Iy

= 3,9372 x 10−5 Lr = ry

Lr = 10678,392 mm ( Lihat tabel halaman

x1 1 + 1 + x 2 . fL 2 fL

133) Lp = 3,5m < L = 5m <

= 741181,28 mm4

Iy h2 2 2

π Sx

Lp = 3545,064 mm

2 B. t 3 J= 3

= 741181,28 mm4

x1 =

Dari tabel didapat

E fy

= 3545,064 mm

2 B. t 3 J= 3

Iw =

5. Cek batas LTB

Lr = 10,7 m termasuk

Iy h2 2 2

bentang menengah 12

6

= 1,2091 x 10 mm x1 =

π Sx

EGJA 2

= 18624,4313 x2 = 4

Sx GJ

2

Iw Iy

= 3,9372 x 10−5 Lr = ry

x1 1 + 1 + x 2 . fL 2 fL

Mn = Cb Mr − Mp − Mr

Lr − L Lr − Lp

= 464,623 KNm > Mp = 461,194 Dipakai Mn = Mp = 461,194 KNm Sehingga Ø Mn = 0,9 x 461,194 = 415,075 KNm

148

= 10678,392 mm

= 10678,392 mm

Lp = 3,5 m < L = 5 m <

Lp = 3,5 m < L = 5 m <

Lr = 10,7 termasuk

Lr = 10,7 termasuk

bentang menengah

bentang menengah


Lr − L Lr − Lp

= 464,623 KNm > Mp = 461,194


Lr − L Lr − Lp

= 414,273 KNm < Mp = 461,194

Dipakai Mn = Mp

Sehingga

= 461,194 KNm

Ø Mn = 0,9 x 414,273

Sehingga

= 372,846 KNm

Ø Mn = 0,9 x 461,194 = 415,075 KNm 6. Faktor pembesaran

6. Faktor pembesaran

6. Faktor pembesaran

momen

momen

momen

k x L 1 x 5000 = r 134,1

k x L 1 x 5000 = r 134,1

Dari tabel didapat Ncr =

= 37,2856

= 37,2856

2

Ncr =

π EAg kL r

2

tabel halaman 138) Cm = 0,6 − 0,4

Ncrb =18000 KN (Lihat

= 17506,952 KN M1 Cm = 0,6 − 0,4 M2 = 0,9294 δb =


17506,952 KN ( Lihat

Cm N 1 − Nu cr

grafik halaman 143) M1 Cm = 0,6 − 0,4 M2

= 0,9294 δb =

Cm N 1 − Nu cr

= 0,9294 δb =

Cm N 1 − Nu cr

M1 M2

=

0,9294 1360 1− 17506,952 = 1,008 > 1,0

149

=

0,9294 1360 1− 17506,952

= 1,008 > 1,0 7. Momen maksimum

=

0,9294 1360 1 − 18000


7. Momen maksimum

terfaktor

terfaktor

terfaktor

Mu = δb Mntu + δs Mltu



= 1,008 x 85 + 0

= 1,005 x 85 + 0

= 1,008 x 85 + 0

= 85,68 KNm

= 85,425 KNm

= 85,68 KNm

8. Menentukan parameter kelangsingan λc =

=

1 Lk π ry

Hitungan tidak

Hitungan tidak

diperlukan

diperlukan

fy E

1 5000 290 π 76,7 2 x 105

= 0,79 1,43

ω = 1,6−0,67.λ

c

= 1,336 9. Menentukan Nn = Ag

Nu Ø Nn

fy ω

= 2676,422 KN Ø Nn = 0,85 x 2676,422 = 2274,959 KN Nu 1360 = Ø Nn 2274,959 = 0,598 > 0,2

9. Menentukan

Nu Ø Nn

9. Menentukan

Nu Ø Nn

Dari grafik didapat Nn =

Dari tabel didapat

2650 KN (Lihat grafik

Nn = 2676,422 KN

halaman 143)


Sehingga

136)

Ø Nn = 0,85 x 2650

Sehingga

= 2252,5 KN

Ø Nn = 0,85 x 2676,422 = 2274,959 KN

150

Nu 1360 = Ø Nn 2252,5

Nu 1360 = Ø Nn 2274,959

= 0,604 > 0,2 10. Interaksi aksial momen Nu 8 Mux Muy + + ≤ 1,0 Øk Nn 9 ØMnx ØMny 0,598 +

8 85,68 + 0 = 0,7814 < 1,0 9 415,074

Profil aman

10. Interaksi aksial momen Muy Nu 8 Mux + + ≤ 1,0 Øk Nn 9 ØMnx ØMny 0,604 +

8 85,425 + 0 = 0,808 < 1,0 9 372,846

Profil aman

= 0,598 > 0,2 10. Interaksi aksial momen Muy Nu 8 Mux + + ≤ 1,0 Øk Nn 9 ØMnx ØMny 0,598 +

8 85,68 + 0 = 0,7814 < 1,0 9 415,074

Profil aman

151

Tabel 1.6 Langkah perhitungan perancangan balok - kolom struktur baja secara manual, grafis dan dengan tabel Manual 1. Data

Grafis 1. Data

Tabel 1. Data

Momen terfaktor

Momen terfaktor

Momen terfaktor

Mu = M2 = 85 KNm

Mu = M2 = 85 KNm

Mu = M2 = 85 KNm

2. Diasumsikan batang



bertipe kompak

bertipe kompak

bertipe kompak

Mn = Mp = Zx.fy

Mn = Mp = Zx.fy

Mn = Mp = Zx.fy

≤ 1,5 My

≤ 1,5 My

≤ 1,5 My

Zx ≤ 1,5 Sx

Zx ≤ 1,5 Sx

Zx ≤ 1,5 Sx

Dari Ø Mn ≥ Mu

Dari Ø Mn ≥ Mu

Dari Ø Mn ≥ Mu

Ø Zx.fy ≥ Mu

Ø Zx.fy ≥ Mu

Ø Zx.fy ≥ Mu

Ø1,5.Sx.fy ≥ Mu

Ø1,5.Sx.fy ≥ Mu

Ø1,5.Sx.fy ≥ Mu

M

u 2a.Sx ≥ Ø1,5.f

=

M

y

85 x 106 0,9 x 1,5 x 290

u 2a.Sx ≥ Ø1,5.f

=

M

y

85 x 106 0,9 x 1,5 x 290

u 2a.Sx ≥ Ø1,5.f

=

y

85 x 106 0,9 x 1,5 x 290

Sx = 217,1137 cm3

Sx = 217,1137 cm3

Sx = 217,1137 cm3

Dipilih profil dengan



Sx ≥ 217,1137 cm3

Sx ≥ 217,1137 cm3

Sx ≥ 217,1137 cm3

2b. Dicoba profil WF 6 x 6 – 29,76

2b.Dicoba profil WF 6 x 6 – 29,76

2b.Dicoba profil WF 6 x 6 – 29,76

152



3. Cek Zx terhadap Sx Dari tabel didapatkan

(9,32/2)) +

Zx =244113,9 mm3

(((157/2)-

( Lihat tabel halaman 131 )

9,32).6,55 x

Zx 244113,9 = Sx 219600

(((157/2)-9,32)/2 + 9,32)) + (2x(1-

= 1,112 < 1,5 Oke

(π/4).6,352(0,2234x

6,35 + 9,32))] / (153x9,32)+((157/ 2-9,32)6,55) + (2x1- (π/4)6,352)] = 14,09 mm Zx = ½ A . a = ½ x 3790 x ( 157 2 x 14,09 ) Zx = 244113,9 mm3 Zx 244113,9 = Sx 219600 = 1,112 < 1,5 Oke 4. Cek kekompakan Sayap b = 9,91 t 170 λp = = 9,98 fy

λ=


4. Cek kekompakan Sayap Dari tabel didapat profil kompak ( Lihat tabel halaman 131)

153

λ < λp maka profil kompak

Øb.Ny = 989,19 KN

Badan Nu 1360 x 103 = Øb Ny 0,9 x 37,9 x 102 x 290 = 1,37 > 0,125 λp = λp = 665 𝑓𝑦

500

2,33 −

fy 500 290 =

Dari tabel didapat

Nu Øb Ny

2,33 − 1,37

665 290

= 39,0501

Nu 1360 = Øb Ny 989,19 = 1,37 > 0,125 λp = λp =

665 𝑓𝑦

𝑓𝑦 =

39,0501 maka λp = 39,0501 h λ= tw 308 − 2 x 25,02 = = 26,030 9,91 λ < λp maka web kompak

140)

665

= 28,17 λp = 28,17 <


500

2,33 −

fy 500 290 =

Nu Øb Ny

2,33 − 1,37

665 290

= 39,0501

= 28,17 λp = 28,17 <

665 𝑓𝑦

=

39,0501 maka λp = 39,0501 λ= =

h tw 308 − 2 x 25,02 = 26,030 9,91

λ < λp maka web kompak

154

5. Cek FLB Mn = Mp = Zx.fy

5. Cek FLB

5. Cek FLB

Dari grafik didapat

Dari tabel didapat

= 244113,9 x 290

Mn = 70 KNm ( Lihat

Mn = 70,793 KNm

= 70,793 KNm

grafik halaman 141)


Sehingga

134)

Ø Mn = 0,9 x 70

Sehingga

Ø Mn = 0,9 x 70,793 = 63,714 KNm < Mu = 85 KNm

= 63 KNm

Ø Mn = 0,9 x 70,793


< Mu = 85 KNm

= 63,714 KNm

diperbesar


< Mu = 85 KNm

diperbesar

Sehingga profil harus diperbesar

2b.Dicoba profil WF 10 x 10 – 89,29 3. Cek Zx terhadap Sx Cx = [(256 x 17,35 x

2b.Dicoba profil WF 10 x 10 – 89,29 Hitungan tidak diperlukan

2b. Dicoba profil WF 10 x 10 – 89,29 3. Cek Zx terhadap Sx Dari tabel didapatkan

(17,35/2)) +

Zx =1226019,6 mm3

(((260/2)-

( Lihat tabel halaman 132 )

17,35).10,54 x (((260/2)-17,35)/2 + 17,35)) + (2x(1(π/4).12,72(0,2234x

12,7 + 17,35))] / (256x17,35)+((260 /2-17,35)10,54) + (2x1- (π/4)12,72)] = 22,36 mm

Zx 1226019,6 = Sx 1099800 = 1,115 < 1,5 Oke

155

Zx = ½ A . a

.

= ½ x 11390 x ( 260 2 x 22,36 ) Zx = 1226019,6 mm3 Zx 1226019,6 = Sx 1099800 = 1,115 < 1,5 Oke 4. Cek kekompakan Sayap


b λ = = 7,378 t 170 λp = = 9,98 fy

4. Cek kekompakan Sayap Dari tabel didapat profil kompak ( Lihat tabel halaman 132)

λ < λp maka sayap

Dari tabel didapat Øb.Ny

kompak

= 2972,79 KN ( Lihat

Badan

tabel halaman 139)

Nu 1360 x 103 = Øb Ny 0,9 x 113,9 x 102 x 290

Nu 1360 = Øb Ny 2972,79 = 0,457 > 0,125

= 0,457 > 0,125 Nu λp = 2,33 − Øb Ny fy λp =

500

λp =

500

λp =

290

2,33 − 0,457 = 54,993

665 𝑓𝑦

=

665 290

500 fy 500 290

Nu Øb Ny

2,33 − 0,457

= 54,993 665

= 39,0501

2,33 −

𝑓𝑦

=

665 290

= 39,0501

156

λp = 54,993 >

665

665

= 39,0501

>

h 260 − 2 x 22,36 = tw 10,54

λ=

𝑓𝑦

λ=

λp = 54,993 𝑓𝑦

= 39,0501

h 260 − 2 x 22,36 = tw 10,54

= 20,425

= 20,425

λ < λp maka web

λ < λp maka web

kompak

kompak

5. Cek FLB

5. Cek FLB

Mn = Mp = Zx.fy

5. Cek FLB

Dari grafik didapat

Dari tabel didapat

= 1226019,6 x 290


Mn = 355,546 KNm

= 355,546 KNm

grafik halaman 142)


Sehingga

Sehingga

135)

Ø Mn = 0,9 x 355,546

Ø Mn = 0,9 x 360

Sehingga

= 319,991 KNm > Mu = 85 KNm

Oke

= 324 KNm

Ø Mn = 0,9 x 355,546

> Mu = 85 KNm Oke

= 319,991 KNm > Mu = 85 KNm Oke

6. Cek LTB

6. Cek LTB

Lp = 1,76. ry

E fy

= 3018,157 mm

6. Cek LTB

Lp = 1,76. ry

E fy

= 3018,157 mm

Dari tabel didapat Lp = 3018,157 mm Lr = 11432,050 mm ( Lihat tabel halaman

J=

2 B. t 3

3

J=

2 B. t 3

3

135)

= 891347,69 mm4

= 891347,69 mm4

2

2

Iw =

Iy h 2 2

= 5,62 x 1011 mm6

Iw =

Iy h 2 2

= 5,62 x 1011 mm6

Lp = 3,02 m < L = 5m < Lr = 11,43 m termasuk bentang menengah Mn = Cb Mr + Mp − Mr

Lr − L Lr − Lp

157

x1 =

π EGJA = 25743,44 Sx 2

x2 = 4

x1 =

Sx 2 I w = 1,1025 x 10−5 GJ Iy

x2 = 4

x1 Lr = ry 1 + 1 + x 2 . fL 2 fL

= 355,546 KNm Ø Mn = 0,9 x 353,745

Sx 2 I w = 1,1025 x 10−5 GJ Iy

= 318,371 KNm > Mu = 85 KNm Oke

= 11432,050 mm

Lp = 3,02 m < L = 5 m <

Lp = 3,02 m < L = 5 m <

Lr = 11,43 m sehingga

Lr = 11,43 m sehingga

termasuk dalam bentang

termasuk dalam bentang

menengah

menengah


= 353,745 KNm < Mp

x1 Lr = ry 1 + 1 + x 2 . fL 2 fL

= 11432,050 mm

Lr − L Lr − Lp


Lr − L Lr − Lp

= 353,745 KNm < Mp

= 309,38 KNm < Mp

= 355,546 KNm

= 360 KNm

Ø Mn = 0,9 x 353,745

Ø Mn = 0,9 x 309,38

= 318,371 KNm

= 278,442 KNm

> Mu = 85 KNm Oke 7.

π EGJA = 25743,44 Sx 2

Faktor pembesaran

> Mu = 85 KNm Oke 7.

Faktor pembesaran

7.

Faktor pembesaran

momen

momen

momen

k x L 1 x 5000 = r 112

k x L 1 x 5000 = r 112

k x L 1 x 5000 = r 112

= 44,643

= 44,643

= 44,643

158

Ncr =

π2 EAg 2

kL r

= 11281,05 KN


Dari tabel profil

Ncrb = 11500 KN

didapatkan


Ncrb = 11281,05 KN

144)

(Lihat tabel halaman 139)

Cm = 0,6 − 0,4

M1 M2

Cm = 0,6 − 0,4

Cm = 0,6 − 0,4

M1 M2

Cm = 0,6 − 0,4

−70 85

M1 M2

Cm = 0,6 − 0,4

−70 85

Cm = 0,6 − 0,4

−70 85

= 0,9294

= 0,9294

Cm N 1 − Nu cr

δb =

=

Cm N 1 − Nu cr

δb =

0,9294 1360 1− 11281,05


=

0,9294 1360 1− 11500


= 0,9294 Cm N 1 − Nu cr

δb =

=

0,9294 1360 1− 11281,05 = 1,057 > 1,0

8. Momen maksimum

terfaktor

terfaktor

terfaktor

Mntu = 85 KNm, Mltu = 0






= 1,057 x 85 + 0

= 1,054 x 85 + 0

= 1,057 x 85 + 0

= 89,845 KNm

= 89,59 KNm

= 89,845 KNm

9. Menentukan

parameter

kelangsingan λc =

1 Lk π ry

fy E



159

=

1 5000 290 π 65,3 2 x 105

= 0,928 ω=

1,43 1,6 − 0,67. λc

= 1,462 10. Menentukan Nn = Ag

Nu Ø Nn

fy ω

= 2259,302 KN

10. Menentukan

Nu Ø Nn

10. Menentukan

Nu Ø Nn

Dari grafik didapat Nn =

Dari tabel didapat Nn =

2250 KN (Lihat grafik

2259,302

KN

(Lihat

halaman 142)

tabel halaman 137)

Sehingga

Sehingga

Sehingga

Ø Nn = 0,85 x 2259,302

Ø Nn = 0,85 x 2250

Ø Nn = 0,85 x 2259,302

= 1920,407 KN Nu 1360 = Ø Nn 1920,407

= 1912,5 KN Nu 1360 = Ø Nn 1912,5

= 0,708 > 0,2

= 1920,407 KN Nu 1360 = Ø Nn 1920,407

= 0,711 > 0,2

= 0,708 > 0,2

11. Interaksi aksial momen



SNI mensyaratkan

SNI mensyaratkan

SNI mensyaratkan

Muy Nu 8 Mux + + ≤ 1,0 Øk Nn 9 ØMnx ØMny



0,708 +

8 89,845 +0 9 318,371

0,711 +

8 89,59 +0 9 278,442

0,708 +

8 89,845 +0 9 318,371

= 0,959 < 1,0

= 0,997 < 1,0

= 0,959 < 1,0




89,29 aman digunakan



160

3.

Pembahasan Dari hasil perhitungan analisis profil WF 12 x 10 – 86,31 (contoh no.1.1) didapatkan didapatkan nilai Mn = 411,309 KNm ( perhitungan secara manual ), perhitungan dengan tabel didapatkan nilai Mn = 411,309 KNm dan perhitungan secara grafis didapatkan nilai Mn = 412 KNm. Hasil perbandingan nilai Mn secara manual (411,309 KNm)

terhadap nilai Mn dengan tabel (411,309 KNm)

diperoleh selisih 0 %. Sedangkan selisih perbandingan nilai Mn secara manual (411,309 KNm) terhadap Mn secara grafis (412 KNm)

= 0,168 % dan

perbandingan nilai Mn dengan tabel (411,309 KNm) terhadap Mn secara grafis (412 KNm) = 0,168 %. Dari hasil perhitungan analisis profil WF 8 x 8 – 99,71 (contoh no.1.2) didapatkan didapatkan nilai Mn = 333,906 KNm ( perhitungan secara manual ), perhitungan dengan tabel didapatkan nilai Mn = 333,906 KNm dan perhitungan secara grafis didapatkan nilai Mn = 335 KNm. Hasil perbandingan nilai Mn secara manual (333,906 KNm)



= 0,327 % dan

perbandingan nilai Mn dengan tabel (333,906 KNm) terhadap Mn secara grafis (335 KNm) = 0,327 %. Dari hasil perhitungan analisis profil WF 12 x 12 – 96,73 (contoh no.2.1) didapatkan didapatkan nilai Mn = 461,194 KNm ( perhitungan secara manual ), perhitungan dengan tabel didapatkan nilai Mn = 4161,194 KNm dan perhitungan secara grafis didapatkan nilai Mn = 460 KNm. Hasil perbandingan nilai Mn secara manual (461,194 KNm)



= 0,259 % dan

perbandingan nilai Mn dengan tabel (461,194 KNm) terhadap Mn secara grafis (460 KNm) = 0,259 %.

161

Dari hasil perhitungan analisis profil WF 10 x 10 – 89,29 (contoh no.2.2) didapatkan didapatkan nilai Mn = 355,546 KNm ( perhitungan secara manual ), perhitungan dengan tabel didapatkan nilai Mn = 411,309 KNm dan perhitungan secara grafis didapatkan nilai Mn = 360 KNm. Hasil perbandingan nilai Mn secara manual (355,546 KNm)



= 1,237% dan

perbandingan nilai Mn dengan tabel (355,546 KNm) terhadap Mn secara grafis (360 KNm) = 1,237 %. a. Kemudahan Cara Praktis 1. Dengan adanya hasil hitungan yang ada dalam tabel profil maupun grafik, sehingga dapat mempercepat proses perhitungan. 2. Penggunaan perhitungan cara praktis sangat mudah, sehingga dapat mengurangi kesalahan dalam perhitungan. 3. Proses hitungan hanya dilakukan dengan melihat. b. Kekurangan Cara Praktis 1. Adanya perbedaan hasil dengan perhitungan manual akibat pembulatan angka di belakang koma. 2. Adanya perhitungan – perhitungan yang belum bisa dihitung dengan cara praktis sehingga harus menghitung secara manual. 3. Perhitungan secara praktis dibatasai oleh panjang elemen, jenis-jenis tumpuan, jenis beban yang bekerja, sehingga perlu pengembangan dalam penggunaannya. 4. Akibat keterbatasan mata manusia, sehingga dalam menggunakannya akan memberikan perbedaan hasil yang signifikan. Sebagai contoh dalam pembacaan grafik akan diperoleh hasil yang sangat berbeda dengan perhitungan manual.

BAB V PENUTUP A. Kesimpulan Setelah dilakukan kajian ini, maka dapat ditarik beberapa kesimpulan antara lain: 1. Nomogram yaitu dengan melihat tabel profil maupun grafik merupakan cara cepat dalam analisis maupun perancangan struktur baja. 2. Perhitungan analisis dan perancangan secara praktis lebih cepat dan mudah dibandingkan dengan perhitungan secara manual dengan selisih yang sedikit. 3. Analisis dan perancangan secara praktis merupakan cara cepat dan sederhana dan cocok digunakan di bidang kependidikan ataupun dunia kerja.

B. Saran Berikut beberapa saran yang dapat disajikan kepada pembaca : 1. Hendaknya dalam melakukan perhitungan analisis maupun perancangan untuk diperhatikan satuan – satuan yang digunakan. 2. Bersabar dan lebih teliti dalam melakukan perhitungan. 3. Ketika menggunakan tabel profil dalam perhitungan untuk diperhatikan keterangan – keterangan yang ada dalam tabel profil supaya mendapatkan hasil yang optimal.

162

DAFTAR PUSTAKA

Badan Standarisasi Nasional. (2002). SNI 03-1729-2002: Tata Cara Perencanaan

Struktur

Baja

Untuk

Bangunan

Gedung.

Badan

Standarisasi Nasional. Gunawan, Rudy. (1987). Tabel Profil Konstruksi Baja. Yogyakarta: Kanisius. Sumiyanto, Joko. (2011). Struktur Baja 2. Yogyakarta: Fakultas Teknik Universitas Negeri Yogyakarta. Sibarani, DRI. (2011). Cara Praktis Perancangan dan Analisis Balok-Kolom dengan Tabel Profil Baja Tipe T yang Diperbaiki Berdasarkan SNI 031729-2002.

Yogyakarta:

Fakultas

Teknik

Universitas

Negeri

Yogyakarta. Badan Standarisasi Nasional. (2005). SNI 07-0329-2005: Baja Profil WF-Beam Proses Canai Panas. Badan Standarisasi Nasional. Badan Standarisasi Nasional. (2006). SNI 07-7178-2006: Baja Profil I-Beam Proses Canai Panas. Badan Standarisasi Nasional.

163

Lampiran Tabel Profil Baja Berdasarkan SNI 03 - 1729 - 2002


Weight

Index

36"WF 36 x 16-1/2

36"WF 36 x 12

33"WF 33 x 15-3/4

33" WF 33 x 11-1/2 30" WF 30 x 15

30" WF 30 x 10-1/2

27" WF 27 x 14 27" WF 27 x 10

Section d

kg/m 446.4 416.7 386.9 364.6 342.3 288.7 270.8 253.0 238.1 223.2 200.9 357.2 327.4 297.6 226.2 209.8 193.5 175.6 312.5 282.8 256.0 196.4 184.5 172.6 160.7 147.3 263.4 238.1 215.8 169.7 151.8 139.9 125.0

mm 933 927 920 916 911 927 923 918 914 910 903 851 845 838 851 846 841 835 772 765 759 770 766 762 757 753 694 688 683 693 688 684 678

K = Kompak

Web

Flange

Width Thickness Thickness t1

B mm 423 422 421 419 418 308 307 305 305 304 303 403 402 400 294 293 292 292 384 382 381 268 267 267 266 266 358 356 355 256 254 254 253

mm 24.00 22.48 21.46 20.37 19.43 19.56 18.42 17.27 16.59 15.88 15.19 21.08 19.69 18.16 16.13 15.37 14.73 14.07 19.69 18.03 16.64 15.62 14.86 14.33 13.92 13.26 18.42 16.71 15.24 14.48 13.16 12.45 11.76

t2 mm 42.67 39.88 36.58 34.29 32.00 32.00 29.97 27.94 25.91 23.88 20.17 35.56 32.39 29.21 26.80 24.38 21.72 18.74 33.40 30.10 27.05 25.40 23.62 21.59 19.30 17.02 30.23 27.31 24.77 23.67 21.01 18.97 16.15

NK = Non Kompak

Corner Sectional Radius

Area

r

A

mm 25.9 25.9 25.9 25.9 25.9 20.3 20.3 20.3 20.3 20.3 20.3 24.4 24.4 24.4 19.0 19.0 19.0 19.0 23.1 23.1 23.1 17.8 17.8 17.8 17.8 17.8 21.8 21.8 21.8 16.2 16.2 16.2 16.2

Momen

Radius

Modulus

Centre

Modulus

Inersia

of Gyration

of Section


of Plastis

Ix 2

cm 568.8 531.1 493.9 467.7 437.0 368.5 345.4 322.5 303.8 284.9 256.1 455.0 417.6 379.3 288.5 267.8 246.8 223.9 398.6 360.6 326.8 250.5 235.2 220.2 205.0 187.8 336.1 303.5 275.4 216.3 193.6 178.4 159.4

Iy 4

cm 844600 783400 717400 669900 623900 503800 469600 435800 405400 375200 324500 565500 512500 459900 339200 309800 278900 245100 410100 367400 328500 239500 222600 204800 185700 166000 280100 250500 225400 169900 150000 136000 117600

rx 4

cm 46730 46320 45880 45560 45250 14790 13640 12510 11460 10420 8621 36400 32570 28790 10660 9562 8384 7089 29470 26000 22900 7701 7064 6377 5624 4866 21600 19060 16940 6228 5391 4791 3984

mm 385.3 384.0 381.0 379.7 378.0 369.8 368.8 367.5 365.2 363.0 355.8 352.6 350.3 348.2 342.9 340.1 336.0 330.7 321.0 319.3 317.0 309.1 307.6 304.8 301.0 297.2 288.5 287.3 286.0 280.2 278.3 276.1 271.5

ry mm 94.7 94.0 92.7 91.9 91.2 63.2 62.7 62.2 61.5 60.4 57.9 89.4 88.4 87.1 60.7 59.7 58.2 56.4 85.8 84.8 83.8 55.4 54.9 53.8 52.3 50.8 80.3 79.2 78.5 53.6 52.8 51.8 50.0

Sx

Sy 3

cm 18112.6 16901.4 15588.5 14628.1 13693.8 10876.4 10181.5 9491.4 8867.0 8242.5 7188.6 13293.9 12138.4 10974.7 7972.1 7323.0 6634.7 5872.5 10651.9 9606.2 8657.2 6223.3 5811.9 5374.3 4903.9 4410.5 8077.0 7285.4 6603.5 4903.9 4364.7 3979.5 3469.8

Cx 3

cm 2410.9 2227.4 2020.9 1875.0 1732.4 962.1 890.0 819.5 752.3 685.1 568.7 1806.2 1622.6 1439.0 726.1 652.3 573.7 486.8 1535.7 1362.0 1203.0 575.3 529.4 478.6 422.9 367.1 1207.9 1070.3 955.5 486.8 424.5 377.0 314.7

mm 104.83 103.06 102.93 102.31 101.89 122.08 121.04 120.01 120.45 121.19 125.48 94.72 93.89 92.85 108.17 108.90 110.88 113.78 83.96 82.51 81.64 98.97 98.79 99.76 101.97 103.85 75.40 73.71 72.26 86.66 86.04 86.47 88.73

Cy mm 69.27 68.84 67.58 66.71 65.88 43.45 43.01 42.39 41.66 40.69 38.16 65.39 64.43 63.32 41.96 40.87 39.32 37.46 63.45 62.49 61.53 38.19 37.54 36.63 35.08 33.76 59.21 58.49 57.97 37.43 36.50 35.70 33.85

Zx

Cek kekompakan (Sayap) Zy

3

mm 20571789.60 19142968.40 17635687.30 16635621.30 15452757.00 12581327.00 11759488.40 10932427.50 10224389.00 9510246.90 8349372.20 15050490.00 13722753.60 12370869.50 9154970.50 8411598.00 7641421.60 6800290.80 12039314.40 10817639.40 9734064.80 7165051.50 6684619.20 6192904.80 5668865.00 5120367.00 9128476.00 8203301.50 7414869.60 5620339.20 4994105.60 4558655.20 3989303.80

mm3 3940077.60 3656092.40 3337776.20 3120026.70 2878956.00 1601132.50 1485565.40 1367077.50 1265630.80 1159258.10 977277.60 2975245.00 2690596.80 2401727.60 1210546.00 1094498.60 970417.60 838729.40 2529117.00 2253389.40 2010800.40 956659.50 882940.80 806592.60 719140.00 634012.80 1990048.10 1775171.50 1596493.80 809610.90 706640.00 636888.00 539569.00

BJ 34 BJ 37 BJ 41 BJ 50 BJ 55 K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K

K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K




S = Slender

a1

Panjang Bentang Maksimum Section Index

36"WF 36 x 16-1/2

36"WF 36 x 12

33"WF 33 x 15-3/4

33" WF 33 x 11-1/2 30" WF 30 x 15

30" WF 30 x 10-1/2

27" WF 27 x 14 27" WF 27 x 10



2




BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm 5143.610 5105.589 5034.980 4991.528 4953.508 3432.694 3405.537 3378.379 3340.359 3280.613 3144.826 4855.741 4801.426 4730.817 3296.907 3242.592 3161.120 3063.354 4660.208 4605.893 4551.578 3009.039 2981.881 2922.135 2840.663 2759.191 4361.477 4301.731 4263.710 2911.272 2867.820 2813.506 2715.739

mm 4811.406 4775.841 4709.793 4669.147 4633.582 3210.991 3185.588 3160.184 3124.620 3068.732 2941.715 4542.130 4491.323 4425.274 3083.974 3033.167 2956.957 2865.505 4359.225 4308.419 4257.612 2814.698 2789.295 2733.407 2657.197 2580.987 4079.788 4023.900 3988.336 2723.246 2682.600 2631.793 2540.341

mm 4714.196 4679.350 4614.635 4574.811 4539.965 3146.116 3121.226 3096.336 3061.490 3006.731 2882.280 4450.360 4400.580 4335.866 3021.665 2971.885 2897.214 2807.610 4271.151 4221.371 4171.591 2757.830 2732.939 2678.181 2603.511 2528.840 3997.359 3942.601 3907.755 2668.225 2628.401 2578.620 2489.016

mm 4377.021 4344.667 4284.581 4247.606 4215.252 2921.095 2897.985 2874.876 2842.522 2791.680 2676.130 4132.056 4085.836 4025.750 2805.546 2759.326 2689.996 2606.800 3965.664 3919.444 3873.225 2560.580 2537.471 2486.629 2417.299 2347.969 3711.455 3660.613 3628.259 2477.385 2440.409 2394.189 2310.993

mm 3681.169 3653.958 3603.425 3572.327 3545.117 2456.704 2437.268 2417.832 2390.622 2347.863 2250.683 3475.148 3436.276 3385.742 2359.524 2320.652 2262.344 2192.375 3335.209 3296.337 3257.465 2153.503 2134.067 2091.308 2033.000 1974.692 3121.413 3078.654 3051.444 2083.534 2052.436 2013.564 1943.595

mm 18326.671 17380.659 16259.929 15587.636 14886.929 10347.975 9969.125 9605.790 9259.766 8873.895 8191.641 16196.540 15164.914 14158.067 9500.892 9026.679 8505.427 7979.759 15909.722 14739.144 13764.020 8857.905 8519.245 8097.710 7624.768 7205.461 14955.620 13837.872 13002.864 8696.060 8144.834 7722.856 7147.855

mm 15606.634 14873.366 14003.283 13488.973 12945.412 9010.678 8718.077 8436.665 8166.618 7858.313 7304.584 13893.171 13097.769 12318.148 8325.033 7953.139 7537.546 7113.765 13608.505 12704.758 11955.167 7737.844 7475.852 7141.749 6761.911 6422.149 12785.923 11919.735 11279.404 7577.311 7151.061 6818.437 6357.040

mm 14905.882 14226.249 13418.919 12943.778 12439.106 8661.529 8390.136 8128.821 7877.411 7588.265 7066.459 13298.021 12561.492 11838.118 8016.185 7669.453 7279.936 6881.384 13014.691 12177.663 11483.910 7444.551 7201.373 6888.837 6532.040 6212.019 12226.165 11422.969 10830.862 7285.048 6889.487 6578.853 6145.546

mm 12748.815 12229.278 11608.233 11248.339 10858.131 7569.951 7360.687 7158.193 6961.402 6728.879 6302.083 11458.794 10896.302 10338.484 7044.753 6771.926 6459.413 6135.701 11182.673 10543.399 10013.864 6524.848 6336.734 6087.783 5799.237 5537.919 10499.703 9883.494 9433.223 6370.757 6065.046 5819.091 5468.946

mm 9317.445 9026.470 8669.565 8469.983 8240.424 5757.153 5634.455 5514.037 5394.002 5243.178 4956.284 8496.282 8178.316 7852.571 5408.318 5239.909 5038.220 4823.754 8246.742 7886.465 7585.900 4986.499 4875.149 4717.086 4527.645 4352.587 7735.374 7384.025 7131.248 4850.129 4669.665 4515.588 4286.084

KNm 4320.076 4020.023 3703.494 3493.480 3245.079 2642.079 2469.493 2295.810 2147.122 1997.152 1753.368 3160.603 2881.778 2597.883 1922.544 1766.436 1604.699 1428.061 2528.256 2271.704 2044.154 1504.661 1403.770 1300.510 1190.462 1075.277 1916.980 1722.693 1557.123 1180.271 1048.762 957.318 837.754

KNm 4937.230 4594.312 4232.565 3992.549 3708.662 3019.518 2822.277 2623.783 2453.853 2282.459 2003.849 3612.118 3293.461 2969.009 2197.193 2018.784 1833.941 1632.070 2889.435 2596.233 2336.176 1719.612 1604.309 1486.297 1360.528 1228.888 2190.834 1968.792 1779.569 1348.881 1198.585 1094.077 957.433

KNm 5142.947 4785.742 4408.922 4158.905 3863.189 3145.332 2939.872 2733.107 2556.097 2377.562 2087.343 3762.623 3430.688 3092.717 2288.743 2102.900 1910.355 1700.073 3009.829 2704.410 2433.516 1791.263 1671.155 1548.226 1417.216 1280.092 2282.119 2050.825 1853.717 1405.085 1248.526 1139.664 997.326

KNm 5965.819 5551.461 5114.349 4824.330 4481.300 3648.585 3410.252 3170.404 2965.073 2757.972 2421.318 4364.642 3979.599 3587.552 2654.941 2439.363 2216.012 1972.084 3491.401 3137.115 2822.879 2077.865 1938.540 1795.942 1643.971 1484.906 2647.258 2378.957 2150.312 1629.898 1448.291 1322.010 1156.898

KNm 8434.434 7848.617 7230.632 6820.605 6335.630 5158.344 4821.390 4482.295 4191.999 3899.201 3423.243 6170.701 5626.329 5072.056 3753.538 3448.755 3132.983 2788.119 4936.119 4435.232 3990.967 2937.671 2740.694 2539.091 2324.235 2099.350 3742.675 3363.354 3040.097 2304.339 2047.583 1869.049 1635.615

(*1) Lp = 1,76.ry.√(E/fy)

(*2) Lr = ry (x1/fL) √ (1+(√(1+x2.fL2))

(*3) Mn = Mp


Mn = Mr ( λr/λ )2

a2

Cb = 1,14 ( Beban Terbagi Merata ) Kuat Lentur Nominal Kondisi FLB Section Index

36"WF 36 x 16-1/2

36"WF 36 x 12

33"WF 33 x 15-3/4

33" WF 33 x 11-1/2 30" WF 30 x 15

30" WF 30 x 10-1/2

27" WF 27 x 14 27" WF 27 x 10

Kuat Lentur Nominal Kondisi LTB

4

Mn (KNm) (*5)

pada Sumbu y Mny (KNm) (* ) BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

KNm 827.416 767.779 700.933 655.206 604.581 336.238 311.969 287.086 265.782 243.444 205.228 624.801 565.025 504.363 254.215 229.845 203.788 176.133 531.115 473.212 422.268 200.898 185.418 169.384 151.019 133.143 417.910 372.786 335.264 170.018 148.394 133.746 113.309

KNm 945.619 877.462 801.066 748.806 690.949 384.272 356.536 328.099 303.751 278.222 234.547 714.059 645.743 576.415 290.531 262.680 232.900 201.295 606.988 540.813 482.592 229.598 211.906 193.582 172.594 152.163 477.612 426.041 383.159 194.307 169.594 152.853 129.497

KNm 985.019 914.023 834.444 780.007 719.739 400.283 371.391 341.769 316.408 289.815 244.319 743.811 672.649 600.432 302.637 273.625 242.604 209.682 632.279 563.347 502.700 239.165 220.735 201.648 179.785 158.503 497.512 443.793 399.123 202.403 176.660 159.222 134.892

KNm 1142.623 1060.267 967.955 904.808 834.897 464.328 430.814 396.452 367.033 336.185 283.411 862.821 780.273 696.501 351.058 317.405 281.421 243.232 733.444 653.483 583.132 277.431 256.053 233.912 208.551 183.864 577.114 514.800 462.983 234.787 204.926 184.698 156.475

KNm 1615.432 1498.998 1368.488 1279.211 1180.372 656.464 609.082 560.502 518.909 475.296 400.684 1219.850 1103.145 984.708 496.324 448.744 397.871 343.879 1036.938 923.890 824.428 392.230 362.006 330.703 294.847 259.945 815.920 727.820 654.562 331.940 289.722 261.124 221.223

(*4) Mn = Mp


BJ 34 L=3m 4320.076 4020.023 3703.494 3493.480 3245.079 2642.079 2469.493 2295.810 2147.122 1997.152 1753.368 3160.603 2881.778 2597.883 1922.544 1766.436 1604.699 1428.061 2528.256 2271.704 2044.154 1504.661 1403.770 1300.510 1190.462 1075.277 1916.980 1722.693 1557.123 1180.271 1048.762 957.318 837.754

L=5m 4320.076 4020.023 3703.494 3493.480 3245.079 2642.079 2469.493 2295.810 2147.122 1981.263 1685.820 3160.603 2881.778 2597.883 1922.544 1757.000 1564.256 1355.897 2528.256 2271.704 2044.154 1469.518 1355.122 1231.722 1097.838 962.791 1916.980 1722.693 1557.123 1142.281 993.975 888.157 748.235

Mn = Mr ( λr/λ )2

L=7m 4320.076 4020.023 3703.494 3493.480 3245.079 2353.685 2163.394 1976.112 1809.353 1637.547 1348.364 3160.603 2881.778 2597.883 1642.948 1464.824 1275.927 1074.904 2528.256 2271.704 2044.154 1222.607 1112.148 990.264 857.683 728.033 1916.980 1722.693 1549.307 947.685 804.859 702.301 567.166

BJ 37 L=9m 4320.076 3984.673 3609.457 3359.164 3082.702 1984.619 1800.710 1622.066 1460.485 1289.329 985.765 3061.748 2739.135 2413.620 1346.573 1172.648 971.481 766.738 2426.160 2131.570 1872.261 972.488 854.925 733.263 606.899 493.599 1792.937 1569.174 1384.256 747.835 603.128 505.957 385.283

(*5) Mn = Mp

L=12m L=3m L=5m L=7m 3866.961 4937.230 4937.230 4937.230 3523.894 4594.312 4594.312 4594.312 3146.009 4232.565 4232.565 4232.565 2892.599 3992.549 3992.549 3992.549 2625.500 3708.662 3708.662 3708.662 1428.599 3019.518 3019.518 2570.468 1263.973 2822.277 2809.346 2359.559 1108.995 2623.783 2589.542 2153.009 970.001 2453.853 2396.069 1968.076 839.816 2282.459 2196.923 1777.426 629.731 2003.849 1863.926 1455.370 2669.875 3612.118 3612.118 3612.118 2348.937 3293.461 3293.461 3293.461 2028.558 2969.009 2969.009 2969.009 923.367 2197.193 2153.914 1787.649 778.473 2018.784 1948.734 1590.108 634.735 1833.941 1731.695 1380.261 492.584 1632.070 1497.562 1157.438 2110.901 2889.435 2889.435 2889.435 1818.760 2596.233 2596.233 2596.233 1563.338 2336.176 2336.176 2312.148 663.189 1719.612 1625.545 1319.122 578.423 1604.309 1497.503 1197.682 491.274 1486.297 1358.715 1062.531 401.554 1360.528 1208.189 900.215 321.895 1228.888 1056.971 741.220 1539.136 2190.834 2190.834 2184.863 1317.147 1968.792 1968.792 1930.632 1136.680 1779.569 1779.569 1719.345 514.628 1348.881 1262.234 1020.231 409.738 1198.585 1096.445 863.475 339.896 1094.077 977.983 740.302 254.199 957.433 821.433 572.903 Mn = Cb [Mr+ ((Mp - Mr )( Lr - L)/( Lr - Lp ))] ≤ Mp

L=9m 4806.563 4416.730 3992.300 3708.603 3401.003 2110.303 1889.022 1671.432 1474.787 1289.329 985.765 3382.964 3020.012 2655.662 1379.175 1175.566 971.481 766.738 2677.002 2346.168 2056.099 972.488 854.925 733.263 606.899 493.599 1970.709 1719.758 1513.902 747.835 603.128 505.957 385.283

L=12m 4217.909 3833.808 3409.933 3124.721 2832.892 1428.599 1263.973 1108.995 970.001 839.816 629.731 2888.434 2531.266 2177.595 923.367 778.473 634.735 492.584 2278.176 1953.846 1666.401 663.189 578.423 491.274 401.554 321.895 1649.477 1400.450 1173.173 514.628 409.738 339.896 254.199

Mn = Mcr ≤ Mp


a3


Section Index

36"WF 36 x 16-1/2

36"WF 36 x 12

33"WF 33 x 15-3/4

33" WF 33 x 11-1/2 30" WF 30 x 15

30" WF 30 x 10-1/2

27" WF 27 x 14 27" WF 27 x 10

BJ 41 L=3m 5142.947 4785.742 4408.922 4158.905 3863.189 3145.332 2939.872 2733.107 2556.097 2377.562 2087.343 3762.623 3430.688 3092.717 2288.743 2102.900 1910.355 1700.073 3009.829 2704.410 2433.516 1791.263 1671.155 1548.226 1417.216 1280.092 2282.119 2050.825 1853.717 1405.085 1248.526 1139.664 997.326

L=5m 5142.947 4785.742 4408.922 4158.905 3863.189 3130.615 2901.379 2673.876 2473.415 2267.062 1921.796 3762.623 3430.688 3092.717 2223.645 2011.062 1786.122 1543.578 3009.829 2704.410 2433.516 1676.048 1543.622 1399.847 1243.912 1087.428 2282.119 2050.825 1853.717 1301.025 1129.626 1007.080 845.134

(*5) Mn = Mp


BJ 50 L=5m 5965.819 5551.461 5114.349 4824.330 4481.300 3519.201 3259.270 3002.115 2774.490 2540.087 2146.705 4364.642 3979.599 3587.552 2494.880 2253.587 1997.830 1722.354 3491.401 3137.115 2822.879 1871.585 1722.318 1559.169 1382.145 1205.078 2647.258 2378.957 2150.312 1451.066 1258.152 1119.798 936.847

L=7m 5965.819 5551.461 5114.349 4779.861 4406.811 2903.314 2661.351 2426.011 2198.817 1938.049 1504.831 4333.119 3898.138 3459.714 2010.247 1742.423 1456.557 1165.356 3429.964 3033.548 2685.029 1402.716 1242.598 1075.549 900.215 741.220 2537.224 2237.183 1989.475 1068.965 873.187 740.302 572.903

BJ 55 L=9m 5553.929 5094.782 4593.653 4256.770 3902.730 2118.781 1889.022 1671.432 1474.787 1289.329 985.765 3885.012 3459.862 3036.013 1379.175 1175.566 971.481 766.738 3067.293 2681.167 2344.069 972.488 854.925 733.263 606.899 493.599 2244.906 1952.803 1715.503 747.835 603.128 505.957 385.283

L=12m 4744.642 4299.641 3941.660 3704.804 3484.376 1428.599 1263.973 1108.995 970.001 839.816 629.731 3131.660 2650.379 2209.074 923.367 778.473 634.735 492.584 2437.403 2014.705 1666.401 663.189 578.423 491.274 401.554 321.895 1694.145 1400.450 1173.173 514.628 409.738 339.896 254.199

L=3m 8434.434 7848.617 7230.632 6820.605 6335.630 5158.344 4821.390 4482.295 4191.999 3899.201 3423.243 6170.701 5626.329 5072.056 3753.538 3448.755 3132.983 2788.119 4936.119 4435.232 3990.967 2937.671 2740.694 2539.091 2324.235 2098.438 3742.675 3363.354 3040.097 2304.339 2047.583 1869.049 1630.226

L=5m 8434.434 7848.617 7230.632 6820.605 6335.630 4597.618 4253.941 3916.435 3612.905 3299.805 2751.952 6170.701 5626.329 5072.056 3249.233 2928.235 2585.378 2121.645 4936.119 4435.232 3990.967 2404.563 2150.776 1882.486 1596.294 1332.414 3742.675 3363.354 3032.903 1810.773 1503.948 1291.871 1018.734

L=7m 8087.342 7454.902 6767.390 6301.838 5813.603 3089.575 2774.096 2473.164 2198.817 1938.049 1504.831 5713.511 5129.544 4545.506 2024.286 1742.423 1456.557 1165.356 4509.055 3980.759 3517.175 1402.716 1242.598 1075.549 900.215 741.220 3311.702 2913.946 2588.669 1068.965 873.187 740.302 572.903

L=9m 7166.588 6562.790 6056.641 5767.864 5498.068 2118.781 1889.022 1671.432 1474.787 1289.329 985.765 4725.489 4044.244 3413.603 1379.175 1175.566 971.481 766.738 3638.257 3044.707 2551.017 972.488 854.925 733.263 606.899 493.599 2502.908 2093.523 1774.603 747.835 603.128 505.957 385.283

L=12m 4643.930 4311.176 3941.660 3704.804 3484.376 1428.599 1263.973 1108.995 970.001 839.816 629.731 3131.660 2650.379 2209.074 923.367 778.473 634.735 492.584 2437.403 2014.705 1666.401 663.189 578.423 491.274 401.554 321.895 1694.145 1400.450 1173.173 514.628 409.738 339.896 254.199

Mn = Mcr ≤ Mp "Bold" = ( Bentang Menengah ) "Italic " = ( Bentang Panjang )

a4


Section Index

36"WF 36 x 16-1/2

36"WF 36 x 12

33"WF 33 x 15-3/4

33" WF 33 x 11-1/2 30" WF 30 x 15

30" WF 30 x 10-1/2

27" WF 27 x 14 27" WF 27 x 10

BJ 34 L=3m 2563.32 2399.79 2289.82 2175.01 2073.61 2126.92 2003.09 1875.99 1802.25 1725.24 1651.08 2071.42 1935.68 1783.80 1620.62 1543.95 1480.26 1413.86 1749.56 1601.15 1477.92 1415.47 1345.78 1297.89 1260.02 1201.21 1470.40 1333.56 1216.40 1177.99 1071.14 1013.47 956.77

L=5m 2563.32 2399.79 2289.82 2175.01 2073.61 2126.92 2003.09 1875.99 1802.25 1725.24 1651.08 2071.42 1935.68 1783.80 1620.62 1543.95 1480.26 1413.86 1749.56 1601.15 1477.92 1415.47 1345.78 1297.89 1260.02 1201.21 1470.40 1333.56 1216.40 1177.99 1071.14 1013.47 956.77

*1 Vn = 0.6 fy Aw

L=7m 2563.32 2399.79 2289.82 2175.01 2073.61 2126.92 2003.09 1875.99 1802.25 1725.24 1651.08 2071.42 1935.68 1783.80 1620.62 1543.95 1480.26 1413.86 1749.56 1601.15 1477.92 1415.47 1345.78 1297.89 1260.02 1201.21 1470.40 1333.56 1216.40 1177.99 1071.14 1013.47 956.77

BJ 37 L=9m 2563.32 2399.79 2289.82 2175.01 2073.61 2126.92 2003.09 1875.99 1802.25 1725.24 1651.08 2071.42 1935.68 1783.80 1620.62 1543.95 1480.26 1413.86 1749.56 1601.15 1477.92 1415.47 1345.78 1297.89 1260.02 1201.21 1470.40 1333.56 1216.40 1177.99 1071.14 1013.47 956.77

L=12m 2563.32 2399.79 2289.82 2175.01 2073.61 2126.92 2003.09 1875.99 1802.25 1725.24 1651.08 2071.42 1935.68 1783.80 1620.62 1543.95 1480.26 1413.86 1749.56 1601.15 1477.92 1415.47 1345.78 1297.89 1260.02 1201.21 1470.40 1333.56 1216.40 1177.99 1071.14 1013.47 956.77


L=3m 2929.51 2742.62 2616.94 2485.72 2369.84 2430.76 2289.25 2143.99 2059.71 1971.70 1886.95 2367.34 2212.20 2038.63 1852.14 1764.52 1691.72 1615.84 1999.50 1829.89 1689.05 1617.68 1538.03 1483.30 1440.02 1372.81 1680.45 1524.06 1390.17 1346.28 1224.16 1158.26 1093.45

L=5m 2929.51 2742.62 2616.94 2485.72 2369.84 2430.76 2289.25 2143.99 2059.71 1971.70 1886.95 2367.34 2212.20 2038.63 1852.14 1764.52 1691.72 1615.84 1999.50 1829.89 1689.05 1617.68 1538.03 1483.30 1440.02 1372.81 1680.45 1524.06 1390.17 1346.28 1224.16 1158.26 1093.45

L=7m 2929.51 2742.62 2616.94 2485.72 2369.84 2430.76 2289.25 2143.99 2059.71 1971.70 1886.95 2367.34 2212.20 2038.63 1852.14 1764.52 1691.72 1615.84 1999.50 1829.89 1689.05 1617.68 1538.03 1483.30 1440.02 1372.81 1680.45 1524.06 1390.17 1346.28 1224.16 1158.26 1093.45

BJ 41 L=9m 2929.51 2742.62 2616.94 2485.72 2369.84 2430.76 2289.25 2143.99 2059.71 1971.70 1886.95 2367.34 2212.20 2038.63 1852.14 1764.52 1691.72 1615.84 1999.50 1829.89 1689.05 1617.68 1538.03 1483.30 1440.02 1372.81 1680.45 1524.06 1390.17 1346.28 1224.16 1158.26 1093.45

L=12m 2929.51 2742.62 2616.94 2485.72 2369.84 2430.76 2289.25 2143.99 2059.71 1971.70 1886.95 2367.34 2212.20 2038.63 1852.14 1764.52 1691.72 1615.84 1999.50 1829.89 1689.05 1617.68 1538.03 1483.30 1440.02 1372.81 1680.45 1524.06 1390.17 1346.28 1224.16 1158.26 1093.45

L=3m 3051.58 2856.89 2725.98 2589.29 2468.58 2532.04 2384.63 2233.32 2145.53 2053.86 1965.57 2465.98 2304.38 2123.58 1929.31 1838.04 1762.21 1683.17 2082.81 1906.13 1759.43 1685.09 1602.12 1545.10 1500.02 1430.01 1750.47 1587.57 1448.09 1402.37 1275.16 1206.52 1139.01

L=5m 3051.58 2856.89 2725.98 2589.29 2468.58 2532.04 2384.63 2233.32 2145.53 2053.86 1965.57 2465.98 2304.38 2123.58 1929.31 1838.04 1762.21 1683.17 2082.81 1906.13 1759.43 1685.09 1602.12 1545.10 1500.02 1430.01 1750.47 1587.57 1448.09 1402.37 1275.16 1206.52 1139.01

L=7m 3051.58 2856.89 2725.98 2589.29 2468.58 2532.04 2384.63 2233.32 2145.53 2053.86 1965.57 2465.98 2304.38 2123.58 1929.31 1838.04 1762.21 1683.17 2082.81 1906.13 1759.43 1685.09 1602.12 1545.10 1500.02 1430.01 1750.47 1587.57 1448.09 1402.37 1275.16 1206.52 1139.01

BJ 50 L=9m 3051.58 2856.89 2725.98 2589.29 2468.58 2532.04 2384.63 2233.32 2145.53 2053.86 1965.57 2465.98 2304.38 2123.58 1929.31 1838.04 1762.21 1683.17 2082.81 1906.13 1759.43 1685.09 1602.12 1545.10 1500.02 1430.01 1750.47 1587.57 1448.09 1402.37 1275.16 1206.52 1139.01

L=12m 3051.58 2856.89 2725.98 2589.29 2468.58 2532.04 2384.63 2233.32 2145.53 2053.86 1965.57 2465.98 2304.38 2123.58 1929.31 1838.04 1762.21 1683.17 2082.81 1906.13 1759.43 1685.09 1602.12 1545.10 1500.02 1430.01 1750.47 1587.57 1448.09 1402.37 1275.16 1206.52 1139.01

L=3m 3539.83 3314.00 3162.13 3003.58 2863.55 2937.17 2766.18 2590.65 2488.82 2382.47 2280.06 2860.54 2673.08 2463.35 2238.00 2132.12 2044.16 1952.47 2416.06 2211.11 2040.94 1954.70 1858.45 1792.32 1740.02 1658.81 2030.55 1841.58 1679.78 1626.75 1479.19 1399.56 1321.26

L=5m 3539.83 3314.00 3162.13 3003.58 2863.55 2937.17 2766.18 2590.65 2488.82 2382.47 2280.06 2860.54 2673.08 2463.35 2238.00 2132.12 2044.16 1952.47 2416.06 2211.11 2040.94 1954.70 1858.45 1792.32 1740.02 1658.81 2030.55 1841.58 1679.78 1626.75 1479.19 1399.56 1321.26

L=7m 3539.83 3314.00 3162.13 3003.58 2863.55 2937.17 2766.18 2590.65 2488.82 2382.47 2280.06 2860.54 2673.08 2463.35 2238.00 2132.12 2044.16 1952.47 2416.06 2211.11 2040.94 1954.70 1858.45 1792.32 1740.02 1658.81 2030.55 1841.58 1679.78 1626.75 1479.19 1399.56 1321.26

L=9m 3539.83 3314.00 3162.13 3003.58 2863.55 2937.17 2766.18 2590.65 2488.82 2382.47 2280.06 2860.54 2673.08 2463.35 2238.00 2132.12 2044.16 1952.47 2416.06 2211.11 2040.94 1954.70 1858.45 1792.32 1740.02 1658.81 2030.55 1841.58 1679.78 1626.75 1479.19 1399.56 1321.26

L=12m 3539.83 3314.00 3162.13 3003.58 2863.55 2937.17 2766.18 2590.65 2488.82 2382.47 2280.06 2860.54 2673.08 2463.35 2238.00 2132.12 2044.16 1952.47 2416.06 2211.11 2040.94 1954.70 1858.45 1792.32 1740.02 1658.81 2030.55 1841.58 1679.78 1626.75 1479.19 1399.56 1321.26

Vn = (0.9 Aw Kn E)/(h/tw)2

a5

Kuat Geser Nominal

Kuat Aksial Nominal Nn ( KN ) *2

Section

Vn (KN) *1

Kc = 0,8 ( jepit - sendi )

Index

BJ 55

36"WF 36 x 16-1/2

36"WF 36 x 12

33"WF 33 x 15-3/4

33" WF 33 x 11-1/2 30" WF 30 x 15

30" WF 30 x 10-1/2

27" WF 27 x 14 27" WF 27 x 10

L=3m 5004.58 4685.30 4470.60 4246.44 4048.47 4152.55 3910.80 3662.65 3518.68 3368.32 3208.51 4044.21 3779.18 3482.66 3164.07 3014.38 2890.02 2737.49 3415.81 3126.06 2885.47 2763.54 2627.47 2533.97 2460.03 2345.22 2870.77 2603.61 2374.87 2299.89 2091.27 1978.69 1867.98

L=5m 5004.58 4685.30 4470.60 4246.44 4048.47 4152.55 3910.80 3662.65 3518.68 3368.32 3129.11 4044.21 3779.18 3482.66 3164.07 3014.38 2890.02 2679.04 3415.81 3126.06 2885.47 2763.54 2627.47 2533.97 2460.03 2345.22 2870.77 2603.61 2374.87 2299.89 2091.27 1978.69 1863.55

*1 Vn = 0.6 fy Aw

L=7m 5004.58 4685.30 4470.60 4246.44 4048.47 4152.55 3910.80 3662.65 3518.68 3368.32 3106.88 4044.21 3779.18 3482.66 3164.07 3014.38 2890.02 2662.71 3415.81 3126.06 2885.47 2763.54 2627.47 2533.97 2460.03 2345.22 2870.77 2603.61 2374.87 2299.89 2091.27 1978.69 1856.05

BJ 34 L=9m 5004.58 4685.30 4470.60 4246.44 4048.47 4152.55 3910.80 3662.65 3518.68 3368.32 3097.69 4044.21 3779.18 3482.66 3164.07 3014.38 2890.02 2655.97 3415.81 3126.06 2885.47 2763.54 2627.47 2533.97 2460.03 2345.22 2870.77 2603.61 2374.87 2299.89 2091.27 1978.69 1852.96

L=12m 5004.58 4685.30 4470.60 4246.44 4048.47 4152.55 3910.80 3662.65 3518.68 3368.32 3091.51 4044.21 3779.18 3482.66 3164.07 3014.38 2890.02 2651.44 3415.81 3126.06 2885.47 2763.54 2627.47 2533.97 2460.03 2345.22 2870.77 2603.61 2374.87 2299.89 2091.27 1978.69 1850.88


L=3m L=5m 11909.073 10928.454 11108.665 10185.479 10310.040 9446.175 9753.426 8920.708 9104.167 8327.586 7239.008 6291.463 6772.549 5877.958 6317.631 5474.939 5934.698 5132.582 5544.856 4778.674 4938.567 4221.429 9451.039 8623.646 8665.613 7893.429 7855.325 7143.767 5620.130 4846.800 5197.597 4470.429 4767.985 4077.734 4293.973 3647.711 8230.678 7480.429 7438.703 6743.188 6728.235 6094.849 4782.273 4049.654 4482.033 3784.828 4177.236 3511.162 3864.452 3224.719 3511.843 2912.703 6879.240 6196.752 6193.878 5576.115 5614.951 5046.597 4099.549 3443.745 3656.115 3061.446 3353.984 2793.736 2970.186 2452.308

L=7m 9954.000 9271.072 8578.908 8097.032 7546.875 5344.268 4985.155 4629.187 4331.161 4015.369 3503.648 7800.000 7129.756 6439.208 4077.052 3741.717 3389.666 3004.409 6728.778 6058.080 5464.013 3314.745 3092.799 2847.414 2590.253 2311.723 5518.452 4956.065 4476.316 2788.398 2465.494 2233.989 1933.795

BJ 37 L=9m 8974.305 8348.129 7711.450 7269.948 6767.699 4399.375 4091.032 3789.871 3500.576 3165.556 2615.489 6969.365 6359.391 5730.432 3237.675 2908.235 2546.830 2169.273 5970.471 5363.031 4829.557 2341.903 2159.213 1941.921 1708.333 1476.387 4837.629 4329.823 3907.703 1892.625 1644.328 1458.453 1213.926

Vn = (0.9 Aw Kn E)/(h/tw)2

L=12m 7512.453 6975.047 6414.286 6032.985 5599.146 2521.711 2326.672 2138.122 1969.074 1780.625 1470.933 5731.854 5210.695 4668.992 1821.421 1635.420 1432.207 1220.480 4838.497 4329.674 3877.288 1317.183 1214.682 1092.223 960.669 830.492 3712.347 3262.188 2908.058 1064.706 924.788 820.230 682.794

L=3m 13489.328 12582.823 11678.424 11048.031 10312.684 8158.672 7633.149 7120.515 6689.174 6250.091 5562.353 10705.882 9806.654 8889.844 6334.858 5858.888 5365.217 4832.374 9323.977 8418.677 7614.757 5382.274 5040.000 4693.428 4338.624 3943.307 7778.592 7010.587 6349.280 4606.211 4108.223 3765.699 3332.404

L=5m 12298.378 11462.590 10621.505 10031.099 9355.932 7002.375 6542.699 6089.693 5709.632 5312.821 4681.188 9698.046 8869.381 8027.513 5388.327 4966.924 4524.981 4043.341 8398.946 7571.654 6843.979 4483.221 4190.646 3883.027 3562.636 3210.256 6947.804 6246.998 5654.063 3805.865 3381.659 3082.505 2699.788

L=7m 11107.567 10337.713 9567.070 9023.151 8410.585 5845.340 5450.099 5058.824 4728.405 4377.465 3808.178 8680.445 7929.114 7162.234 4447.013 4078.173 3683.582 3254.755 7473.750 6729.705 6065.893 3584.973 3340.118 3070.773 2782.805 2439.621 6120.182 5489.073 4958.440 3005.906 2653.569 2400.000 2006.872

L=9m 9913.725 9216.486 8509.404 8017.714 7454.158 4483.650 4137.043 3801.105 3501.176 3165.556 2615.489 7673.928 6998.883 6299.792 3237.405 2908.235 2546.244 2170.056 6556.820 5887.347 5295.881 2341.577 2159.656 1941.157 1708.333 1476.560 5285.976 4729.870 4264.258 1892.871 1644.016 1458.186 1213.994

L=12m 8125.714 7537.788 6919.790 6499.595 6031.052 2522.353 2326.905 2138.122 1968.599 1781.205 1471.311 6159.052 5592.857 4930.643 1821.506 1635.420 1432.455 1220.233 5028.331 4443.851 3931.429 1317.338 1214.588 1092.183 960.703 830.438 3712.957 3262.710 2908.515 1064.862 924.887 820.230 682.838

*2 Nn = A . fy / ω

a6



Index

36"WF 36 x 16-1/2

36"WF 36 x 12

33"WF 33 x 15-3/4

33" WF 33 x 11-1/2 30" WF 30 x 15

30" WF 30 x 10-1/2

27" WF 27 x 14 27" WF 27 x 10

BJ 41 L=3m 14009.852 13068.406 12129.175 11474.485 10710.784 8467.371 7914.757 7383.242 6936.073 6475.000 5768.018 11119.257 10185.366 9233.204 6568.761 6075.318 5563.571 5006.708 9674.757 8735.465 7909.003 5576.581 5222.025 4863.074 4495.614 4082.609 8079.327 7274.688 6594.828 4772.727 4253.076 3902.012 3450.216

L=5m 12741.935 11876.118 11004.902 10402.580 9693.878 7236.842 6756.651 6284.100 5892.164 5483.064 4832.075 10039.718 9190.141 8310.692 5560.910 5126.340 4667.171 4171.013 8695.462 7845.953 7085.863 4621.771 4320.353 4000.727 3665.951 3304.011 7193.921 6468.457 5854.592 3921.320 3482.014 3174.377 2778.940

L=7m 11476.998 10690.419 9878.000 9324.163 8684.420 6005.541 5596.241 5194.910 4849.936 4488.028 3899.208 8970.820 8194.662 7390.881 4561.986 4179.151 3773.700 3333.830 7718.823 6950.655 6260.536 3668.717 3416.618 3138.540 2823.691 2440.546 6312.923 5658.091 5111.359 3070.698 2708.450 2410.811 2006.293

BJ 50 L=9m 10208.184 9490.708 8757.092 8251.588 7677.442 4482.968 4136.527 3800.825 3500.000 3165.556 2615.935 7899.306 7195.038 6477.117 3237.935 2907.709 2546.956 2169.574 6742.219 6050.336 5439.414 2342.216 2159.780 1941.799 1708.333 1476.415 5427.972 4851.343 4374.206 1893.217 1644.161 1458.112 1214.014

L=12m 8310.929 7706.036 7075.931 6639.693 6158.399 2522.245 2326.709 2137.885 1968.892 1781.182 1470.994 6232.877 5590.361 4929.175 1821.338 1635.420 1432.385 1220.496 5026.482 4443.623 3932.611 1317.381 1214.562 1091.991 960.862 830.422 3713.812 3261.687 2908.131 1064.730 924.767 820.230 682.801

L=3m 16077.193 14996.981 13919.436 13155.480 12280.039 9653.568 9032.101 8410.522 7908.618 7376.875 6560.866 12748.792 11678.303 10586.814 7483.453 6915.583 6333.805 5695.702 11093.474 10016.667 9060.421 6339.005 5936.292 5524.048 5103.004 4631.122 9256.315 8334.754 7548.771 5421.521 4831.670 4425.663 3910.829

L=5m 14494.903 13510.439 12520.192 11825.022 11020.000 8114.275 7576.853 7053.167 6604.348 6133.705 5397.456 11414.360 10440.000 9433.705 6229.710 5735.746 5212.819 4647.888 9871.392 8899.915 8031.525 5148.476 4810.155 4450.035 4069.131 3660.081 8149.582 7322.379 6622.388 4359.069 3866.667 3519.456 3071.495

L=7m L=9m 12917.150 11329.121 12023.341 10534.815 11111.792 9710.576 10481.685 9139.690 9763.482 8499.665 6580.357 4483.062 6126.361 4136.954 5681.956 3799.898 5300.963 3499.583 4894.609 3165.556 4231.852 2615.106 10072.519 8726.852 9195.444 7951.674 8295.400 7142.662 4980.060 3238.123 4552.286 2907.328 4096.852 2547.046 3587.348 2169.791 8652.246 7424.149 7780.804 6660.764 7004.582 5983.081 3871.819 2342.443 3568.764 2159.335 3208.945 1941.710 2824.228 1708.333 2440.874 1476.435 7047.650 5943.232 6313.845 5302.108 5700.642 4773.819 3128.529 1892.931 2717.193 1644.041 2410.530 1458.379 2006.555 1214.077

BJ 55 L=12m 8739.179 8042.768 7270.609 6768.958 6227.518 2521.888 2326.736 2137.714 1968.760 1781.105 1471.037 6231.405 5590.490 4929.838 1821.279 1635.420 1432.514 1220.508 5028.559 4442.868 3932.448 1317.226 1214.746 1092.056 960.808 830.372 3713.105 3261.325 2908.184 1064.749 924.752 820.230 682.806

L=3m 22105.024 20600.851 19121.719 18073.233 16870.998 13035.807 12187.091 11349.785 10655.090 9932.738 8808.809 17483.599 16016.464 14506.810 10075.383 9304.915 8503.193 7637.188 15202.419 13714.842 12394.820 8488.017 7943.328 7382.011 6800.162 6159.840 12630.706 11374.314 10302.372 7245.343 6442.857 5893.956 5195.072

L=5m 19434.000 18115.724 16749.297 15821.535 14746.502 10448.479 9746.318 9050.308 8467.573 7850.067 6849.380 15241.013 13931.326 12571.787 7970.687 7314.990 6622.251 5877.017 13137.138 11827.680 10676.335 6483.902 6045.893 5566.091 5063.253 4521.315 10782.551 9676.128 8753.023 5450.707 4819.429 4369.415 3782.060

L=7m 16789.633 15598.209 14392.253 13570.913 12617.606 7410.668 6837.127 6281.473 5786.667 5235.137 4323.253 12981.907 11832.481 10644.285 5352.262 4805.164 4209.589 3585.898 11079.729 9949.260 8944.459 3872.008 3569.903 3210.027 2824.024 2440.507 8930.719 7981.719 7196.558 3129.528 2718.356 2410.016 2007.033

L=9m 14116.707 13101.745 12039.180 11313.097 10496.192 4483.234 4136.225 3800.934 3500.049 3165.556 2615.218 10727.430 9739.249 8721.985 3238.467 2907.594 2546.411 2169.548 8936.487 7900.922 6992.198 2342.189 2159.127 1941.548 1707.899 1476.472 6601.246 5797.787 5170.647 1892.914 1644.247 1458.141 1213.912

L=12m 8738.473 8042.512 7271.059 6766.899 6229.292 2521.761 2326.786 2137.833 1968.907 1780.964 1471.117 6231.315 5590.727 4931.050 1821.521 1635.420 1432.497 1220.326 5028.492 4443.156 3932.150 1317.364 1214.700 1092.011 960.846 830.391 3713.062 3261.730 2908.281 1064.782 924.859 820.230 682.816

*2 Nn = A . fy / ω

a7

Kuat Aksial Nominal Nn ( KN ) *2 Kc = 0,65 ( jepit - jepit )

Section Index

36"WF 36 x 16-1/2

36"WF 36 x 12

33"WF 33 x 15-3/4

33" WF 33 x 11-1/2 30" WF 30 x 15

30" WF 30 x 10-1/2

27" WF 27 x 14 27" WF 27 x 10

BJ 34 L=3m 11944.800 11153.100 10371.900 9821.700 9177.000 7505.820 7021.684 6549.807 6158.108 5758.325 5141.587 9555.000 8769.600 7965.300 5836.705 5402.305 4959.617 4473.739 8370.600 7572.600 6862.800 4990.987 4677.273 4362.453 4038.462 3682.353 7072.244 6373.500 5777.622 4285.189 3824.647 3511.153 3113.860

L=5m 11386.845 10611.893 9849.858 9309.668 8682.119 6734.987 6296.354 5868.718 5509.326 5139.948 4557.712 9014.151 8257.627 7472.139 5213.855 4810.778 4399.660 3951.176 7830.309 7070.588 6389.944 4394.737 4112.573 3824.814 3522.913 3193.360 6517.175 5868.785 5315.625 3750.867 3340.674 3055.791 2695.169

L=7m 10589.362 9870.000 9146.296 8638.259 8057.068 5966.461 5575.250 5181.714 4858.949 4515.396 3974.945 8337.696 7632.376 6902.340 4582.829 4222.072 3841.957 3427.041 7222.261 6511.264 5875.685 3798.195 3548.276 3284.233 3008.386 2704.938 5966.272 5360.387 4851.846 3216.926 2855.056 2601.667 2272.505

BJ 37 L=9m 9798.852 9126.923 8439.300 7965.693 7418.755 5197.112 4845.291 4500.000 4205.537 3892.583 3390.984 7668.539 7004.473 6326.688 3957.218 3628.258 3280.253 2904.200 6606.630 5948.625 5361.563 3201.765 2982.609 2742.705 2488.439 2216.863 5412.653 4854.151 4388.012 2686.162 2371.995 2146.934 1839.231

L=12m 8605.764 8006.533 7387.393 6960.808 6476.359 3821.481 3525.346 3238.494 2982.957 2698.038 2228.110 6663.180 6073.130 5463.169 2758.566 2477.445 2169.670 1848.413 5686.549 5106.271 4590.502 1995.448 1839.553 1654.454 1455.621 1257.990 4583.182 4096.080 3693.103 1612.889 1400.724 1242.587 1034.345

L=3m 13651.200 12746.400 11853.600 11224.800 10488.000 8487.524 7940.230 7406.699 6963.897 6512.000 5809.452 10920.000 10022.400 9103.200 6600.572 6109.506 5603.784 5055.127 9575.976 8654.400 7827.545 5634.489 5280.449 4920.670 4555.556 4150.276 8010.328 7226.190 6544.158 4833.520 4314.206 3957.116 3509.725

L=5m L=7m 12854.237 11880.940 11990.969 11074.196 11109.278 10253.979 10510.112 9684.901 9801.869 9033.592 7546.075 6604.929 7054.979 6167.857 6570.458 5733.333 6168.528 5369.072 5750.715 4987.309 5096.517 4380.898 10167.598 9349.315 9314.498 8544.246 8428.889 7727.674 5833.193 5065.106 5382.915 4660.769 4919.601 4233.881 4415.448 3770.947 8833.241 8079.730 7969.061 7284.848 7202.204 6574.350 4903.752 4175.000 4589.268 3898.343 4265.375 3602.454 3926.576 3293.173 3554.574 2957.480 7339.763 6660.941 6609.800 5990.132 5981.538 5417.705 4179.710 3531.429 3720.096 3130.997 3403.498 2846.809 2995.771 2482.544

BJ 41 L=9m 10920.960 10164.593 9400.159 8866.351 8258.268 5665.599 5280.000 4898.734 4574.153 4228.571 3669.493 8524.590 7787.413 7024.074 4297.952 3938.235 3553.209 3131.469 7330.575 6596.341 5946.323 3447.248 3209.096 2944.178 2587.771 2236.824 5988.419 5371.681 4849.303 2868.066 2489.699 2208.433 1839.231

L=12m 9466.852 8796.687 8107.798 7635.918 7100.880 3820.302 3523.741 3238.494 2982.086 2697.278 2227.966 7294.589 6646.154 5977.150 2758.566 2477.957 2169.670 1848.981 6211.948 5572.698 5005.233 1995.685 1840.196 1654.085 1455.621 1258.116 4976.188 4444.173 4000.969 1612.800 1401.101 1242.394 1034.295

L=3m 14220.000 13277.500 12347.500 11692.500 10925.000 8807.361 8247.373 7685.891 7226.451 6757.590 6028.719 11375.000 10440.000 9491.992 6849.478 6333.964 5815.269 5241.105 9955.045 8997.006 8137.450 5847.339 5474.860 5106.679 4727.860 4303.391 8327.552 7504.946 6803.360 5016.234 4473.198 4103.036 3639.269

L=5m 13339.587 12432.116 11528.945 10907.183 10172.253 7807.203 7305.415 6798.061 6382.353 5945.326 5269.547 10551.948 9657.724 8747.694 6030.518 5569.884 5086.562 4561.940 9159.007 8263.061 7474.840 5070.850 4745.763 4404.000 4054.589 3667.969 7610.960 6847.924 6202.703 4322.542 3844.321 3514.578 3091.544

L=7m 12301.038 11465.889 10626.076 10027.873 9353.596 6808.943 6353.937 5910.924 5531.682 5138.889 4511.980 9672.619 8847.458 7995.363 5218.886 4799.283 4360.424 3881.761 8359.899 7537.625 6802.664 4295.267 4008.180 3704.576 3382.838 3034.906 6887.295 6188.825 5602.116 3631.632 3215.947 2922.674 2546.326

L=9m 11276.764 10504.351 9707.154 9163.401 8528.493 5808.638 5413.793 5023.364 4691.167 4332.421 3752.931 8804.180 8036.952 7249.618 4403.236 4030.704 3633.687 3202.231 7566.439 6808.912 6133.634 3520.236 3275.766 2941.884 2586.751 2235.714 6173.769 5534.282 4996.372 2866.799 2490.032 2209.288 1838.524

L=12m 9733.060 9044.619 8337.272 7852.586 7293.057 3820.632 3524.490 3237.952 2982.818 2697.917 2228.895 7493.412 6823.529 6129.606 2759.445 2477.336 2169.670 1848.885 6371.483 5716.550 5128.688 1995.221 1839.656 1654.395 1455.449 1257.870 5098.604 4551.590 4098.214 1612.975 1400.868 1242.340 1034.393

*2 Nn = A . fy / ω

a8


Kc = 0,65 ( jepit - jepit )

Index

36"WF 36 x 16-1/2

36"WF 36 x 12

33"WF 33 x 15-3/4

33" WF 33 x 11-1/2 30" WF 30 x 15

30" WF 30 x 10-1/2

27" WF 27 x 14 27" WF 27 x 10


BJ 50 L=3m 16495.200 15417.317 14308.791 13536.228 12647.705 10081.604 9440.716 8798.213 8272.488 7728.812 6889.518 13129.353 12038.171 10912.401 7833.801 7251.354 6645.497 5989.945 11444.950 10333.399 9355.577 6676.930 6251.879 5831.781 5394.737 4906.486 9565.162 8620.470 7807.038 5723.266 5104.000 4681.991 4149.551

L=5m 15245.102 14208.395 13176.725 12454.821 11615.949 8839.123 8257.708 7691.201 7209.656 6722.620 5941.520 12039.234 11019.472 9981.579 6818.663 6288.421 5739.535 5141.013 10451.537 9421.081 8515.004 5706.599 5337.089 4954.073 4555.556 4116.553 8663.911 7795.837 7055.300 4858.792 4318.769 3946.301 3465.217

L=7m 13955.330 12997.384 12036.218 11359.548 10587.302 7584.457 7078.869 6577.004 6156.674 5709.813 4994.553 10950.207 10008.595 9045.806 5797.990 5326.612 4829.420 4288.705 9451.676 8515.798 7680.065 4741.841 4420.480 4077.778 3715.625 3322.880 7766.454 6979.778 6303.552 3995.350 3533.291 3207.440 2783.022

BJ 55 L=9m 12669.124 11793.185 10892.091 10267.449 9564.528 6338.375 5899.058 5469.298 5098.495 4699.716 3961.013 9861.734 8997.325 8111.873 4783.591 4365.486 3858.329 3285.566 8462.225 7605.382 6847.688 3547.985 3271.367 2941.071 2587.595 2236.632 6873.695 6159.202 5557.829 2867.520 2491.137 2208.581 1838.926

L=12m 10746.059 9975.324 9181.474 8639.045 8020.886 3820.018 3523.870 3238.961 2982.717 2697.829 2228.627 8221.184 7484.796 6715.324 2758.945 2477.257 2169.670 1848.569 6963.494 6235.778 5594.569 1995.742 1839.730 1654.352 1455.324 1257.783 5531.725 4925.294 4403.363 1613.038 1400.973 1242.534 1034.428

L=3m 22841.136 21306.360 19775.293 18708.000 17462.963 13760.018 12874.000 11998.639 11272.217 10523.333 9358.378 18129.252 16606.790 15039.942 10665.915 9865.049 9034.643 8131.001 15774.710 14243.353 12883.462 9048.899 8473.814 7891.783 7289.679 6620.636 13161.509 11850.952 10743.482 7745.240 6902.261 6321.867 5590.590

L=5m 20692.813 19287.068 17872.816 16880.018 15730.465 11657.793 10885.012 10132.184 9486.519 8829.101 7766.346 16292.576 14901.305 13475.997 8954.201 8249.286 7506.528 6700.657 14100.604 12723.408 11481.405 7426.247 6937.554 6416.631 5877.622 5288.324 11658.291 10474.327 9472.651 6289.574 5581.997 5086.509 4442.828

L=7m 18537.997 17240.776 15944.803 15039.765 14008.600 9556.293 8906.541 8264.063 7717.348 7126.846 6172.898 14461.240 13200.925 11916.705 7247.855 6638.331 5980.378 5269.747 12437.291 11183.510 10074.286 5792.724 5396.307 4860.404 4277.354 3697.383 10139.882 9096.126 8217.904 4739.238 4118.080 3650.356 3039.721

BJ 34 L=9m 16365.474 15216.702 14023.476 13215.507 12288.752 6790.337 6266.106 5758.302 5303.161 4797.084 3962.302 12630.332 11506.452 10346.840 4905.547 4405.135 3856.617 3285.870 10758.789 9656.826 8677.979 3547.668 3271.654 2940.782 2587.149 2236.688 8639.561 7714.507 6952.833 2867.680 2490.227 2208.954 1839.015

L=12m 13123.692 12164.860 11012.862 10254.385 9436.208 3820.101 3524.928 3238.824 2982.532 2697.667 2228.138 9439.595 8470.798 7467.611 2758.834 2477.112 2169.670 1848.457 7614.490 6731.747 5955.022 1995.725 1839.866 1654.274 1455.411 1257.880 5624.531 4940.347 4404.252 1612.785 1400.856 1242.361 1034.287

L=3m 11529.730 10755.159 9982.579 9434.870 8807.102 6884.786 6436.025 5998.671 5635.866 5257.381 4672.546 9143.541 8375.931 7586.000 5333.187 4928.834 4506.783 4049.871 7949.288 7177.820 6492.715 4507.712 4221.538 3928.802 3623.737 3286.500 6621.107 5962.114 5405.047 3855.942 3433.784 3142.953 2775.622

L=5m 10315.026 9606.460 8902.918 8408.990 7836.892 5698.454 5317.742 4947.042 4629.753 4301.150 3771.459 8111.205 7419.289 6704.798 4364.914 4017.000 3647.291 3247.169 7010.553 6315.763 5700.000 3590.785 3353.157 3095.181 2828.515 2537.838 5775.859 5185.924 4690.511 3034.269 2687.112 2443.836 2128.036

L=7m 9097.334 8468.565 7821.946 7373.649 6863.874 4517.513 4200.000 3894.480 3629.010 3344.271 2766.868 7072.539 6452.980 5818.335 3403.652 3075.215 2694.113 2295.009 6065.652 5451.836 4905.504 2476.986 2284.023 2054.059 1806.925 1561.901 4925.401 4407.676 3977.579 2003.219 1739.294 1542.522 1284.374

L=9m 7879.156 7318.307 6739.376 6340.671 5890.244 2870.097 2647.226 2432.869 2240.492 2026.384 1674.117 6043.643 5498.182 4935.130 2072.168 1860.645 1629.811 1388.527 5122.766 4586.675 4116.857 1498.718 1382.078 1242.647 1093.333 944.906 4075.115 3631.624 3265.613 1211.684 1052.242 933.101 776.884

L=12m 5594.754 5145.606 4653.685 4331.510 3985.668 1614.289 1489.022 1368.182 1260.207 1139.871 941.462 3987.480 3579.429 3156.137 1165.657 1046.775 916.701 781.047 3217.914 2844.169 2516.150 843.029 777.368 698.916 614.890 531.509 2376.465 2087.961 1861.110 681.515 591.898 524.982 436.997

*2 Nn = A . fy / ω

a9



Index

36"WF 36 x 16-1/2

36"WF 36 x 12

33"WF 33 x 15-3/4

33" WF 33 x 11-1/2 30" WF 30 x 15

30" WF 30 x 10-1/2

27" WF 27 x 14 27" WF 27 x 10

BJ 37 L=3m 13038.395 12162.595 11278.402 10669.962 9950.664 7730.769 7227.201 6730.435 6318.198 5894.483 5230.979 10321.361 9455.094 8563.688 5979.275 5521.649 5049.616 4534.684 8974.109 8103.371 7323.249 5043.624 4719.732 4389.369 4049.383 3667.372 7468.889 6725.762 6091.797 4308.050 3833.663 3509.508 3092.643

L=5m 11549.239 10756.456 9961.008 9401.005 8761.905 6281.250 5862.518 5446.868 5098.741 4725.363 4136.205 9062.241 8282.975 7486.184 4801.664 4411.256 3999.460 3549.273 7822.077 7047.557 6355.916 3924.282 3660.700 3374.713 3075.000 2751.648 6427.410 5776.368 5220.853 3306.497 2925.945 2656.079 2303.191

L=7m 10059.838 9358.590 8633.358 8139.811 7578.035 4742.091 4377.347 4020.779 3703.467 3349.712 2767.091 7800.000 7113.130 6406.193 3425.603 3075.215 2693.894 2295.184 6671.130 5993.352 5390.515 2477.898 2284.188 2054.344 1807.163 1561.611 5391.979 4823.841 4351.284 2002.392 1739.410 1542.919 1284.297

BJ 41 L=9m 8569.492 7956.554 7312.523 6877.941 6387.333 2869.100 2647.377 2432.050 2240.000 2025.956 1673.628 6538.922 5940.960 5326.624 2072.278 1860.934 1629.491 1388.527 5516.955 4939.726 4423.689 1498.785 1381.836 1242.386 1093.030 944.906 4226.012 3711.592 3308.936 1211.482 1052.114 933.319 776.969

L=12m 5594.754 5147.461 4655.317 4331.809 3985.938 1614.237 1488.927 1368.398 1260.091 1139.837 941.436 3987.220 3579.429 3155.355 1165.657 1046.775 916.727 781.047 3218.301 2843.335 2516.871 843.050 777.387 698.932 614.904 531.509 2376.840 2087.854 1861.204 681.483 591.898 524.947 437.024

L=3m 13529.971 12621.198 11714.896 11072.443 10326.087 8003.910 7482.669 6968.453 6541.774 6103.256 5416.667 10710.923 9812.030 8887.067 6190.987 5717.336 5228.814 4691.953 9313.084 8409.515 7600.000 5218.750 4883.721 4538.335 4183.673 3789.346 7751.384 6973.805 6316.514 4454.283 3967.213 3628.967 3198.234

L=5m 11949.580 11129.505 10306.761 9727.537 9066.390 6464.912 6034.242 5602.849 5241.546 4858.458 4248.507 9377.576 8564.397 7740.816 4936.687 4532.837 4107.856 3646.580 8088.474 7281.906 6572.808 4024.743 3754.789 3462.264 3149.969 2816.437 6642.292 5965.016 5391.543 3390.282 2998.761 2721.171 2357.988

L=7m 10364.431 9642.338 8895.893 8387.733 7803.571 4742.600 4374.921 4021.197 3702.620 3349.794 2767.153 8033.192 7321.178 6594.228 3426.366 3076.393 2694.323 2295.233 6862.948 6161.996 5542.741 2477.745 2284.604 2054.104 1806.963 1561.746 5538.893 4952.676 4464.981 2002.778 1739.443 1542.585 1284.448

BJ 50 L=9m 8783.200 8150.706 7492.415 7043.675 6538.001 2869.938 2646.743 2432.127 2240.413 2026.316 1673.856 6687.243 6076.834 5443.456 2072.557 1861.015 1629.581 1388.527 5639.502 5044.768 4473.648 1498.654 1381.904 1242.664 1093.042 944.906 4225.016 3712.538 3308.108 1211.425 1052.174 933.298 776.803

L=12m 5592.920 5146.318 4655.042 4332.561 3985.408 1614.104 1489.114 1368.265 1260.058 1139.828 941.544 3987.730 3578.406 3155.574 1165.657 1046.707 916.790 781.092 3218.409 2843.849 2516.750 843.150 777.392 698.937 614.877 531.484 2376.945 2087.345 1860.811 681.474 591.868 524.937 437.012

L=3m 15488.451 14434.770 13398.597 12664.146 11810.811 9079.439 8488.644 7899.071 7415.993 6913.891 6122.754 12251.625 11213.333 10156.694 7012.992 6471.833 5910.157 5304.820 10634.223 9602.755 8678.755 5896.510 5513.985 5120.930 4714.512 4268.182 8836.718 7957.957 7201.623 5026.202 4470.064 4086.572 3597.354

L=5m 13509.582 12583.252 11635.337 10991.329 10228.410 7152.945 6668.842 6197.813 5792.373 5361.518 4665.138 10572.917 9657.416 8722.998 5450.489 4997.555 4518.434 3995.754 9109.062 8195.455 7392.512 4405.397 4103.971 3776.345 3422.568 3049.384 7457.460 6693.156 6045.874 3694.170 3262.289 2952.968 2517.413

L=7m 11535.105 10718.093 9884.817 9309.060 8656.421 4744.284 4376.450 4020.419 3703.710 3350.066 2767.359 8897.505 8100.602 7289.397 3425.384 3075.723 2694.475 2295.395 7574.967 6794.932 6110.380 2477.238 2285.025 2054.138 1806.991 1561.634 6080.412 5429.673 4890.753 2002.458 1739.551 1542.631 1284.056

L=9m 9551.361 8856.757 8128.888 7632.696 7079.888 2869.822 2647.268 2432.380 2240.356 2026.266 1673.668 7089.322 6361.339 5608.515 2072.198 1860.725 1629.878 1388.527 5718.936 5054.937 4473.015 1498.994 1382.128 1242.676 1093.082 944.906 4224.009 3711.755 3308.793 1211.531 1052.125 933.231 776.908

L=12m 5593.964 5146.834 4654.135 4331.593 3985.220 1613.970 1489.180 1368.325 1260.175 1139.797 941.455 3987.911 3578.988 3155.167 1165.657 1046.658 916.708 781.007 3217.648 2843.617 2516.349 843.116 777.410 698.952 614.947 531.466 2376.568 2087.519 1861.136 681.445 591.846 524.972 437.022

*2 Nn = A . fy / ω

a 10


Beban Kritis Elastis

Section



Index

BJ 55

36"WF 36 x 16-1/2

36"WF 36 x 12

33"WF 33 x 15-3/4

33" WF 33 x 11-1/2 30" WF 30 x 15

30" WF 30 x 10-1/2

27" WF 27 x 14 27" WF 27 x 10

L=3m 21104.796 19670.370 18243.153 17228.841 16069.058 12067.492 11266.030 10485.726 9830.939 9154.310 8070.792 16641.392 15232.740 13786.613 9291.830 8557.911 7801.696 6970.311 14424.184 13014.613 11753.333 7739.638 7228.786 6702.450 6148.500 5543.413 11941.161 10736.411 9717.212 6569.111 5836.471 5323.435 4664.811

L=5m 17775.000 16533.865 15282.943 14406.987 13410.928 8835.380 8219.037 7612.263 7097.322 6540.258 5422.905 13828.762 12617.244 11376.225 6656.443 6028.717 5280.522 4499.951 11851.051 10651.729 9591.124 4856.028 4477.400 4025.953 3542.677 3061.551 9629.700 8617.382 7776.446 3926.198 3408.524 3024.041 2517.246

L=7m 14458.029 13416.574 12332.460 11593.531 10760.961 4743.642 4375.867 4020.525 3702.951 3349.362 2766.825 11012.397 10006.780 8963.285 3426.068 3075.574 2693.857 2294.975 9280.295 8301.291 7397.543 2477.805 2284.442 2054.198 1807.041 1561.826 6986.109 6133.580 5467.990 2002.439 1739.271 1542.716 1284.284

*2 Nn = A . fy / ω

kc = 0.8 ( jepit - sendi ) L=9m 9944.904 9149.202 8273.708 7701.084 7085.319 2869.611 2646.991 2432.283 2240.252 2026.175 1673.656 7089.786 6361.951 5609.125 2072.449 1860.589 1629.764 1388.527 5721.698 5054.564 4473.723 1498.796 1382.042 1242.484 1093.156 944.906 4225.404 3711.708 3308.835 1211.516 1052.209 933.257 776.868

L=12m 5594.195 5146.257 4653.812 4332.268 3985.984 1614.156 1489.106 1368.258 1260.071 1139.739 941.502 3988.242 3579.117 3155.222 1165.657 1046.692 916.766 781.019 3217.839 2843.876 2516.797 843.140 777.364 698.912 614.906 531.479 2376.391 2087.836 1860.964 681.456 591.861 524.941 437.004

L=3m 2893775.69 2683774.41 2456949.53 2310765.22 2139795.62 1726945.23 1609946.39 1492628.27 1388534.15 1286509.38 1111037.52 1938577.96 1756095.06 1575968.87 1162486.84 1061527.12 954840.80 839130.95 1407520.14 1259884.74 1125402.38 820187.22 762635.89 701058.88 636493.70 568460.71 958666.18 858493.88 771975.04 581969.25 513853.15 466052.58 402656.99

L=5m 1041759.25 966158.79 884501.83 831875.48 770326.42 621700.28 579580.70 537346.18 499872.29 463143.38 399973.51 697888.06 632194.22 567348.79 418495.26 382149.76 343742.69 302087.14 506707.25 453558.51 405144.86 295267.40 274548.92 252381.20 229137.73 204645.86 345119.82 309057.80 277911.02 209508.93 184987.13 167778.93 144956.52

L=7m 531509.82 492938.16 451276.44 424426.26 393023.69 317194.02 295704.44 274156.21 255036.88 236297.64 204068.12 356065.34 322548.07 289463.67 213517.99 194974.37 175378.92 154126.09 258524.11 231407.40 206706.56 150646.63 140075.98 128765.92 116907.01 104411.15 176081.54 157682.55 141791.33 106892.31 94381.19 85601.50 73957.41

L=9m 321530.63 298197.16 272994.39 256751.69 237755.07 191882.80 178882.93 165847.59 154281.57 142945.49 123448.61 215397.55 195121.67 175107.65 129165.20 117947.46 106093.42 93236.77 156391.13 139987.19 125044.71 91131.91 84737.32 77895.43 70721.52 63162.30 106518.46 95388.21 85775.00 64663.25 57094.79 51783.62 44739.67

kc = 0.65 ( jepit - jepit ) L=12m 180860.98 167735.90 153559.35 144422.83 133737.23 107934.08 100621.65 93289.27 86783.38 80406.84 69439.84 121161.12 109755.94 98498.05 72655.43 66345.45 59677.55 52445.68 87970.01 78742.80 70337.65 51261.70 47664.74 43816.18 39780.86 35528.79 59916.64 53655.87 48248.44 36373.08 32115.82 29128.29 25166.06

L=3m 4383470.86 4065362.42 3721769.70 3500330.74 3241347.21 2615964.37 2438735.37 2261022.71 2103341.67 1948795.27 1682991.74 2936544.12 2660120.33 2387266.45 1760926.81 1607993.74 1446386.06 1271109.61 2132101.51 1908464.46 1704751.54 1242413.78 1155235.43 1061959.02 964156.14 861100.25 1452180.72 1300440.44 1169382.31 881562.89 778381.10 705973.15 609941.95

L=5m 1578049.51 1463530.47 1339837.09 1260119.07 1166885.00 941747.17 877944.73 813968.17 757203.00 701566.30 605877.03 1057155.88 957643.32 859415.92 633933.65 578877.75 520698.98 457599.46 767556.54 687047.21 613710.55 447268.96 415884.75 382305.25 347096.21 309996.09 522785.06 468158.56 420977.63 317362.64 280217.20 254150.33 219579.10

L=7m 805127.30 746699.22 683590.35 642917.89 595349.49 480483.25 447930.99 415289.89 386328.06 357941.99 309120.93 539365.25 488593.53 438477.51 323435.54 295345.79 265662.75 233469.11 391610.48 350534.29 313117.63 228198.45 212186.10 195053.70 177089.90 158161.27 266727.07 238856.41 214784.51 161919.71 142967.96 129668.54 112030.15

L=9m 487052.32 451706.94 413529.97 388925.64 360149.69 290662.71 270970.60 251224.75 233704.63 216532.81 186999.08 326282.68 295568.93 265251.83 195658.53 178665.97 160709.56 141234.40 236900.17 212051.61 189416.84 138045.98 128359.49 117995.45 107128.46 95677.81 161353.41 144493.38 129931.37 97951.43 86486.79 78441.46 67771.33

L=12m 273966.93 254085.15 232610.61 218770.67 202584.20 163497.77 152420.96 141313.92 131458.85 121799.70 105186.98 183534.01 166257.52 149204.15 110057.93 100499.61 90399.13 79444.35 133256.34 119279.03 106546.97 77650.86 72202.21 66372.44 60259.76 53818.77 90761.29 81277.53 73086.39 55097.68 48648.82 44123.32 38121.37

*3 Ncrb = π2. E . A/( Kc.L / rx )2

a 11

Øb = 0.9 Beban Kritis Elastis Section

Komponen Tak Bergoyang Ncrb ( KN ) * kc = 1 ( sendi - sendi )

Index

36"WF 36 x 16-1/2

36"WF 36 x 12

33"WF 33 x 15-3/4

33" WF 33 x 11-1/2 30" WF 30 x 15

30" WF 30 x 10-1/2

27" WF 27 x 14 27" WF 27 x 10


L=3m 1852016.44 1717615.62 1572447.70 1478889.74 1369469.20 1105244.95 1030365.69 955282.09 888661.85 823366.00 711064.01 1240689.89 1123900.84 1008620.08 743991.58 679377.36 611098.11 537043.81 900812.89 806326.24 720257.52 524919.82 488086.97 448677.69 407355.97 363814.86 613546.35 549436.09 494064.03 372460.32 328866.02 298273.65 257700.47

L=5m 666725.92 618341.62 566081.17 532400.31 493008.91 397888.18 370931.65 343901.55 319918.27 296411.76 255983.04 446648.36 404604.30 363103.23 267836.97 244575.85 219995.32 193335.77 324292.64 290277.45 259292.71 188971.14 175711.31 161523.97 146648.15 130973.35 220876.69 197796.99 177863.05 134085.72 118391.77 107378.52 92772.17

L=7m 340166.28 315480.42 288816.92 271632.81 251535.16 203004.17 189250.84 175459.98 163223.61 151230.49 130603.59 227881.82 206430.77 185256.75 136651.51 124783.60 112242.51 98640.70 165455.43 148100.74 132292.20 96413.84 89648.63 82410.19 74820.48 66823.14 112692.19 100916.83 90746.45 68411.08 60403.96 54784.96 47332.74

*3 Ncrb = π2. E . A/( Kc.L / rx )2

4

Mengalami Tegangan Leleh Ny ( KN ) * BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

Parameter

Konstanta

Konstanta

Øb Ny ( KN )

Puntir

Puntir

Torsi (J)

Lengkung (Iw)

BJ 41

BJ 50

BJ 55

4

mm L=9m L=12m 205779.60 115751.03 11944.80 13651.20 14220.00 16495.20 23320.80 10750.32 12286.08 12798.00 14845.68 20988.72 21908721.61 190846.18 107350.98 11153.10 12746.40 13277.50 15401.90 21775.10 10037.79 11471.76 11949.75 13861.71 19597.59 17843770.99 174716.41 98277.98 10371.90 11853.60 12347.50 14323.10 20249.90 9334.71 10668.24 11112.75 12890.79 18224.91 13737950.28 164321.08 92430.61 9821.70 11224.80 11692.50 13563.30 19175.70 8839.53 10102.32 10523.25 12206.97 17258.13 11262251.44 152163.24 85591.82 9177.00 10488.00 10925.00 12673.00 17917.00 8259.30 9439.20 9832.50 11405.70 16125.30 9131349.33 122804.99 69077.81 7738.50 8844.00 9212.50 10686.50 15108.50 6964.65 7959.60 8291.25 9617.85 13597.65 6728362.67 114485.08 64397.86 7253.40 8289.60 8635.00 10016.60 14161.40 6528.06 7460.64 7771.50 9014.94 12745.26 5509438.57 106142.45 59705.13 6772.50 7740.00 8062.50 9352.50 13222.50 6095.25 6966.00 7256.25 8417.25 11900.25 4434940.38 98740.21 55541.37 6379.80 7291.20 7595.00 8810.20 12455.80 5741.82 6562.08 6835.50 7929.18 11210.22 3536802.58 91485.11 51460.38 5982.90 6837.60 7122.50 8262.10 11680.90 5384.61 6153.84 6410.25 7435.89 10512.81 2759848.81 79007.11 44441.50 5378.10 6146.40 6402.50 7426.90 10500.10 4840.29 5531.76 5762.25 6684.21 9450.09 1657559.26 137854.43 77543.12 9555.00 10920.00 11375.00 13195.00 18655.00 8599.50 9828.00 10237.50 11875.50 16789.50 12080893.17 124877.87 70243.80 8769.60 10022.40 10440.00 12110.40 17121.60 7892.64 9020.16 9396.00 10899.36 15409.44 9106838.57 112068.90 63038.75 7965.30 9103.20 9482.50 10999.70 15551.30 7168.77 8192.88 8534.25 9899.73 13996.17 6646046.92 82665.73 46499.47 6058.50 6924.00 7212.50 8366.50 11828.50 5452.65 6231.60 6491.25 7529.85 10645.65 3772771.07 75486.37 42461.08 5623.80 6427.20 6695.00 7766.20 10979.80 5061.42 5784.48 6025.50 6989.58 9881.82 2830593.24 67899.79 38193.63 5182.80 5923.20 6170.00 7157.20 10118.80 4664.52 5330.88 5553.00 6441.48 9106.92 1994670.00 59671.53 33565.24 4701.90 5373.60 5597.50 6493.10 9179.90 4231.71 4836.24 5037.75 5843.79 8261.91 1281151.09 100090.32 56300.81 8370.60 9566.40 9965.00 11559.40 16342.60 7533.54 8609.76 8968.50 10403.46 14708.34 9538484.22 89591.80 50395.39 7572.60 8654.40 9015.00 10457.40 14784.60 6815.34 7788.96 8113.50 9411.66 13306.14 6944989.45 80028.61 45016.10 6862.80 7843.20 8170.00 9477.20 13398.80 6176.52 7058.88 7353.00 8529.48 12058.92 5027308.37 58324.42 32807.49 5260.50 6012.00 6262.50 7264.50 10270.50 4734.45 5410.80 5636.25 6538.05 9243.45 2927822.10 54231.89 30505.44 4939.20 5644.80 5880.00 6820.80 9643.20 4445.28 5080.32 5292.00 6138.72 8678.88 2345630.94 49853.08 28042.36 4624.20 5284.80 5505.00 6385.80 9028.20 4161.78 4756.32 4954.50 5747.22 8125.38 1791339.61 45261.77 25459.75 4305.00 4920.00 5125.00 5945.00 8405.00 3874.50 4428.00 4612.50 5350.50 7564.50 1274859.44 40423.87 22738.43 3943.80 4507.20 4695.00 5446.20 7699.80 3549.42 4056.48 4225.50 4901.58 6929.82 874317.25 68171.82 38346.65 7058.10 8066.40 8402.50 9746.90 13780.10 6352.29 7259.76 7562.25 8772.21 12402.09 6593351.20 61048.45 34339.76 6373.50 7284.00 7587.50 8801.50 12443.50 5736.15 6555.60 6828.75 7921.35 11199.15 4834191.38 54896.00 30879.00 5783.40 6609.60 6885.00 7986.60 11291.40 5205.06 5948.64 6196.50 7187.94 10162.26 3596790.26 41384.48 23278.77 4542.30 5191.20 5407.50 6272.70 8868.30 4088.07 4672.08 4866.75 5645.43 7981.47 2263307.07 36540.67 20554.13 4065.60 4646.40 4840.00 5614.40 7937.60 3659.04 4181.76 4356.00 5052.96 7143.84 1570437.35 33141.52 18642.10 3746.40 4281.60 4460.00 5173.60 7314.40 3371.76 3853.44 4014.00 4656.24 6582.96 1155964.38 28633.39 16106.28 3347.40 3825.60 3985.00 4622.60 6535.40 3012.66 3443.04 3586.50 4160.34 5881.86 710471.80

mm6x(1011) 611.25 601.78 584.97 576.40 565.81 172.40 158.11 143.76 129.80 116.11 91.63 398.27 351.71 306.25 107.34 94.34 80.37 65.39 268.85 233.98 203.17 63.00 57.06 50.44 43.01 36.17 159.34 139.25 122.80 42.05 35.87 31.28 24.95

*4 Ny = A . fy

a 12


Weight

Index

Section d

kg/m 238.10 24" WF 24 x 14 215.80 193.50 178.60 24" WF 163.70 24 x 12 148.80 139.90 24" WF 125.00 113.10 24 x 9 101.20 21" WF 211.30 189.00 21 x 13 166.70 21" WF 142.90 21 x 9 122.00 108.60 101.20 21" WF 21 x 8-1/4 92.27 81.85 18" WF 169.70 18 x 11-3/4 156.30 142.90 126.50 18" WF 114.60 18 x 8-3/4 104.20 95.24 89.29 18" WF 81.85 18 x 7-1/2 74.41 66.97 16" WF 142.90 16 x 11-1/2 131.00

mm 628 622 616 617 614 610 617 612 607 602 545 539 533 537 530 539 537 533 528 469 465 461 465 461 457 454 464 460 457 454 415 410

K = Kompak

Web

Flange


B mm 358 357 356 307 306 305 230 229 228 228 334 332 330 230 228 211 210 209 209 301 300 298 224 223 222 221 192 191 191 190 293 292

mm 16.66 15.44 14.35 14.12 12.95 11.89 13.11 11.94 11.18 10.57 16.74 14.94 13.39 14.61 12.67 11.56 10.92 10.16 9.52 15.11 14.07 13.00 13.36 12.07 11.13 10.24 10.57 9.91 9.09 8.51 13.59 12.80

t2 mm 28.83 25.91 22.86 23.62 21.72 19.69 22.15 19.61 17.32 14.78 27.81 25.02 21.97 23.75 20.19 18.80 17.40 15.62 13.26 25.17 23.14 21.11 23.14 21.00 19.08 17.42 17.65 16.00 14.48 12.67 22.23 20.19

NK = Non Kompak


Area

r

A

mm 17.8 17.8 17.8 17.8 17.8 17.8 13.8 13.8 13.8 13.8 16.5 16.5 16.5 16.5 16.5 13.7 13.7 13.7 13.7 15.2 15.2 15.2 15.2 15.2 15.2 15.2 10.9 10.9 10.9 10.9 15.2 15.2

Momen

Radius

Modulus

Centre

Modulus

Inersia

of Gyration

of Section


of Plastis

Ix 2

cm 303.5 275.0 246.5 227.7 208.8 189.9 178.3 159.4 144.3 129.0 269.4 240.9 212.5 182.0 155.5 138.5 129.2 117.6 104.4 216.2 199.1 182.1 161.1 146.0 132.6 121.3 113.8 104.5 94.9 85.4 182.1 167.0

Iy 4

cm 212700 189900 166900 151300 138000 124400 111700 98420 87270 75530 141700 125600 109100 86960 72950 66620 61540 55230 47490 84660 77120 69710 59520 53570 48030 43530 40960 37040 33330 29330 56410 50890

rx 4

cm 20510 18080 15620 10570 9537 8471 4254 3676 3184 2656 16060 14100 12060 4550 3730 2756 2514 2210 1832 10640 9616 8609 4138 3688 3268 2926 1961 1748 1548 1328 8625 7710

mm 264.7 262.6 260.1 257.8 257.0 256.0 250.2 248.4 245.9 242.1 229.4 228.3 226.6 218.4 216.7 219.4 218.2 216.7 213.4 197.9 196.8 195.6 192.3 191.5 190.2 189.5 189.7 188.2 187.4 185.4 176.0 174.5

ry mm 82.0 81.0 79.5 68.1 67.6 66.8 48.8 48.0 47.0 45.5 77.2 76.4 75.2 50.0 49.0 44.7 44.2 43.4 41.9 70.1 69.3 68.8 50.8 50.3 49.5 49.0 41.4 40.9 40.4 39.4 68.8 67.8

Sx

Sy 3

cm 6777.3 6105.3 5420.2 4902.2 4497.4 4079.5 3620.6 3217.4 2874.8 2590.3 5198.9 4656.4 4090.9 3238.7 2753.5 2470.0 2293.0 2071.7 1798.0 3607.4 3314.0 3022.3 2558.5 2322.5 2101.2 1917.6 1766.8 1609.5 1458.7 1293.2 2722.4 2479.8

Cx 3

cm 1145.7 1012.9 878.5 688.4 622.8 555.6 370.4 321.2 278.6 232.7 963.7 849.0 731.0 396.6 327.8 262.2 239.3 211.4 175.4 706.0 642.5 576.9 368.8 331.1 293.4 263.9 204.9 181.9 162.3 139.3 588.4 527.8

mm 63.63 62.77 62.56 66.38 65.18 64.31 76.05 75.40 75.94 77.82 55.39 53.42 52.15 64.51 62.84 65.77 65.68 65.58 66.92 46.95 46.01 45.14 52.00 50.55 49.68 48.87 54.99 54.75 54.02 54.78 39.88 39.26

Cy mm 62.15 61.22 59.88 50.15 49.81 49.23 34.27 33.54 32.47 31.00 58.82 58.33 57.35 35.87 34.95 31.44 30.88 30.15 28.84 53.80 53.27 52.51 37.21 36.88 36.37 35.94 29.63 28.99 28.73 27.69 53.30 52.50

Zx


3

mm 7598729.50 6826325.00 6050096.00 5513072.40 5049201.60 4570703.10 4144583.50 3675764.00 3283690.80 2879022.00 5848943.40 5205367.20 4554937.50 3712618.00 3143588.00 2821660.50 2620434.40 2362819.20 2057515.20 4054831.00 3713015.90 3375405.60 2907855.00 2627270.00 2371153.20 2160716.90 2014373.80 1831362.50 1655815.20 1470758.80 3052360.20 2767858.00

mm3 1886252.50 1683550.00 1476042.00 1141915.50 1040032.80 934877.70 611034.10 534627.60 468542.10 399900.00 1584610.80 1405169.70 1218687.50 652834.00 543472.50 435444.00 398969.60 354564.00 301089.60 1163156.00 1060605.70 956207.10 599453.10 538448.00 482266.20 435952.20 337189.40 302945.50 272647.70 236472.60 970593.00 876750.00

BJ 34 BJ 37 BJ 41 BJ 50 BJ 55 K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K

K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K




S = Slender

b1

Panjang Bentang Maksimum Section Index 24" WF 24 x 14 24" WF 24 x 12

24" WF 24 x 9 21" WF 21 x 13 21" WF 21 x 9 21" WF 21 x 8-1/4 18" WF 18 x 11-3/4

18" WF 18 x 8-3/4

18" WF 18 x 7-1/2 16" WF 16 x 11-1/2



2




BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm 4453.812 4399.497 4318.025 3698.836 3671.679 3628.227 2650.561 2607.109 2552.795 2471.322 4193.101 4149.649 4084.471 2715.739 2661.424 2427.871 2400.713 2357.261 2275.789 3807.466 3764.014 3736.857 2759.191 2732.033 2688.582 2661.424 2248.632 2221.474 2194.317 2140.002 3736.857 3682.542

mm 4166.160 4115.353 4039.142 3459.945 3434.541 3393.896 2479.373 2438.728 2387.921 2311.710 3922.287 3881.641 3820.673 2540.341 2489.534 2271.065 2245.662 2205.016 2128.806 3561.558 3520.913 3495.509 2580.987 2555.583 2514.938 2489.534 2103.403 2077.999 2052.596 2001.789 3495.509 3444.703

mm 4081.986 4032.206 3957.535 3390.040 3365.149 3325.325 2429.279 2389.455 2339.675 2265.004 3843.041 3803.216 3743.480 2489.016 2439.236 2225.180 2200.290 2160.466 2085.795 3489.600 3449.776 3424.886 2528.840 2503.950 2464.126 2439.236 2060.905 2036.015 2011.125 1961.345 3424.886 3375.106

mm 3790.029 3743.809 3674.479 3147.573 3124.463 3087.487 2255.529 2218.553 2172.334 2103.004 3568.174 3531.198 3475.734 2310.993 2264.773 2066.028 2042.918 2005.942 1936.612 3240.012 3203.037 3179.927 2347.969 2324.859 2287.883 2264.773 1913.502 1890.392 1867.283 1821.063 3179.927 3133.707

mm 3187.496 3148.624 3090.316 2647.176 2627.740 2596.643 1896.949 1865.851 1826.979 1768.671 3000.910 2969.813 2923.167 1943.595 1904.723 1737.574 1718.138 1687.040 1628.732 2724.920 2693.822 2674.387 1974.692 1955.256 1924.159 1904.723 1609.297 1589.861 1570.425 1531.553 2674.387 2635.515

mm 15809.129 14557.722 13305.079 11636.821 11056.617 10449.155 8118.077 7553.208 7064.203 6422.804 16222.481 14821.065 13379.053 9483.783 8411.092 7315.278 6987.278 6578.609 6058.120 15367.279 14222.515 13191.529 10497.598 9664.368 8941.982 8388.934 7104.300 6673.072 6309.720 5868.897 15028.573 13742.357

mm 13458.974 12490.084 11520.164 10052.336 9608.324 9139.427 7047.407 6610.314 6227.239 5708.075 13701.665 12607.796 11490.108 8097.767 7268.752 6364.537 6110.859 5790.562 5375.458 12935.386 12034.918 11234.668 8883.164 8234.500 7671.491 7245.780 6139.137 5806.691 5525.709 5179.298 12652.467 11639.717

mm 12853.564 11955.785 11056.285 9641.226 9230.849 8796.046 6768.589 6362.964 6005.936 5517.120 13053.262 12037.778 11001.736 7740.367 6972.279 6116.494 5881.105 5582.553 5193.461 12309.913 11472.117 10730.515 8467.819 7866.066 7343.193 6949.204 5888.656 5580.627 5319.902 4996.719 12041.345 11098.699

mm 10990.218 10304.391 9613.073 8364.524 8052.840 7717.947 5899.246 5585.923 5305.379 4906.782 11063.048 10283.976 9491.345 6638.778 6051.296 5341.606 5159.826 4925.160 4612.893 10391.250 9743.811 9178.560 7192.325 6731.656 6328.538 6028.271 5110.575 4874.303 4672.935 4418.022 10166.662 9436.809

mm 8027.401 7643.380 7245.304 6279.912 6105.127 5909.426 4465.081 4280.675 4108.073 3841.804 7933.378 7498.788 7053.094 4878.738 4546.275 4057.125 3950.154 3805.711 3604.052 7385.113 7019.692 6709.420 5181.854 4925.503 4693.731 4524.944 3839.203 3703.081 3584.509 3426.261 7228.941 6814.071

KNm 1595.733 1433.528 1270.520 1157.745 1060.332 959.848 870.363 771.910 689.575 604.595 1228.278 1093.127 956.537 779.650 660.153 592.549 550.291 496.192 432.078 851.515 779.733 708.835 610.650 551.727 497.942 453.751 423.018 384.586 347.721 308.859 640.996 581.250

KNm 1823.695 1638.318 1452.023 1323.137 1211.808 1096.969 994.700 882.183 788.086 690.965 1403.746 1249.288 1093.185 891.028 754.461 677.199 628.904 567.077 493.804 973.159 891.124 810.097 697.885 630.545 569.077 518.572 483.450 439.527 397.396 352.982 732.566 664.286

KNm 1899.682 1706.581 1512.524 1378.268 1262.300 1142.676 1036.146 918.941 820.923 719.756 1462.236 1301.342 1138.734 928.155 785.897 705.415 655.109 590.705 514.379 1013.708 928.254 843.851 726.964 656.818 592.788 540.179 503.593 457.841 413.954 367.690 763.090 691.965

KNm 2203.632 1979.634 1754.528 1598.791 1464.268 1325.504 1201.929 1065.972 952.270 834.916 1696.194 1509.556 1320.932 1076.659 911.641 818.282 759.926 685.218 596.679 1175.901 1076.775 978.868 843.278 761.908 687.634 626.608 584.168 531.095 480.186 426.520 885.184 802.679

KNm 3115.479 2798.793 2480.539 2260.360 2070.173 1873.988 1699.279 1507.063 1346.313 1180.399 2398.067 2134.201 1867.524 1522.173 1288.871 1156.881 1074.378 968.756 843.581 1662.481 1522.337 1383.916 1192.221 1077.181 972.173 885.894 825.893 750.859 678.884 603.011 1251.468 1134.822

(*1) Lp = 1,76.ry.√(E/fy)

(*2) Lr = ry (x1/fL) √ (1+(√(1+x2.fL2))

(*3) Mn = Mp


Mn = Mr ( λr/λ )2

b2

Cb = 1,14 ( Beban Terbagi Merata ) Kuat Lentur Nominal Kondisi FLB Section Index 24" WF 24 x 14 24" WF 24 x 12


18" WF 18 x 8-3/4

18" WF 18 x 7-1/2 16" WF 16 x 11-1/2


4

Mn (KNm) (*5)


BJ 37

BJ 41

BJ 50

BJ 55

KNm 396.113 353.546 309.969 239.802 218.407 196.324 128.317 112.272 98.394 83.979 332.768 295.086 255.924 137.095 114.129 91.443 83.784 74.458 63.229 244.263 222.727 200.803 125.885 113.074 101.276 91.550 70.810 63.619 57.256 49.659 203.825 184.118

KNm 452.701 404.052 354.250 274.060 249.608 224.371 146.648 128.311 112.450 95.976 380.307 337.241 292.485 156.680 130.433 104.507 95.753 85.095 72.262 279.157 254.545 229.490 143.869 129.228 115.744 104.629 80.925 72.707 65.435 56.753 232.942 210.420

KNm 471.563 420.888 369.011 285.479 260.008 233.719 152.759 133.657 117.136 99.975 396.153 351.292 304.672 163.209 135.868 108.861 99.742 88.641 75.272 290.789 265.151 239.052 149.863 134.612 120.567 108.988 84.297 75.736 68.162 59.118 242.648 219.188

KNm 547.013 488.230 428.052 331.155 301.610 271.115 177.200 155.042 135.877 115.971 459.537 407.499 353.419 189.322 157.607 126.279 115.701 102.824 87.316 337.315 307.576 277.300 173.841 156.150 139.857 126.426 97.785 87.854 79.068 68.577 281.472 254.258

KNm 773.364 690.256 605.177 468.185 426.413 383.300 250.524 219.197 192.102 163.959 649.690 576.120 499.662 267.662 222.824 178.532 163.578 145.371 123.447 476.894 434.848 392.045 245.776 220.764 197.729 178.740 138.248 124.208 111.786 96.954 397.943 359.468

(*4) Mn = Mp


BJ 34 L=3m 1595.733 1433.528 1270.520 1157.745 1060.332 959.848 870.363 771.910 689.575 604.595 1228.278 1093.127 956.537 779.650 660.153 592.549 550.291 496.192 432.078 851.515 779.733 708.835 610.650 551.727 497.942 453.751 423.018 384.586 347.721 308.859 640.996 581.250

L=5m 1595.733 1433.528 1270.520 1157.745 1060.332 959.848 814.157 702.677 608.574 512.728 1228.278 1093.127 956.537 763.281 625.220 527.467 479.209 418.529 344.480 851.515 779.733 708.835 610.650 544.464 481.789 431.031 368.768 325.110 284.872 240.346 640.996 581.250

Mn = Mr ( λr/λ )2

L=7m 1595.733 1433.528 1270.520 1096.325 987.493 875.171 662.583 554.487 463.476 358.743 1228.278 1093.127 953.203 653.380 516.304 412.358 363.988 301.218 228.950 851.515 777.513 695.657 538.418 469.945 407.493 357.272 286.283 240.780 201.121 159.251 640.996 574.625

BJ 37 L=9m 1523.881 1335.402 1144.497 960.916 854.521 745.236 505.038 403.341 322.841 245.241 1172.270 1017.541 859.052 543.480 402.627 299.329 258.926 212.014 158.554 793.304 708.673 626.757 464.035 395.425 333.879 280.543 210.397 174.188 144.196 112.718 592.656 521.573

(*5) Mn = Mp

L=12m 1329.044 1140.540 949.774 752.478 643.424 537.499 353.414 279.037 220.582 164.793 1029.995 876.134 717.827 392.731 283.525 210.739 181.034 146.763 108.004 690.797 605.413 523.407 350.347 288.306 237.105 197.767 150.372 123.631 101.539 78.443 513.950 441.994

L=3m 1823.695 1638.318 1452.023 1323.137 1211.808 1096.969 994.700 882.183 788.086 690.965 1403.746 1249.288 1093.185 891.028 754.461 677.199 628.904 567.077 493.804 973.159 891.124 810.097 697.885 630.545 569.077 518.572 483.450 439.527 397.396 352.982 732.566 664.286

L=5m 1823.695 1638.318 1452.023 1323.137 1211.808 1096.969 895.424 771.052 666.227 561.563 1403.746 1249.288 1093.185 843.998 688.602 576.463 522.719 455.508 373.256 973.159 891.124 810.097 680.533 603.154 532.346 475.293 401.322 352.841 308.479 259.187 732.566 664.286

L=7m 1823.695 1631.917 1415.909 1208.558 1087.006 961.871 706.159 573.408 464.794 358.743 1403.746 1237.727 1058.270 704.324 551.986 417.585 363.988 301.218 228.950 958.903 863.205 770.551 585.407 508.516 438.665 382.976 288.470 240.780 201.121 159.251 717.432 637.243


L=9m 1680.785 1468.455 1254.200 1039.172 921.835 801.768 505.038 403.341 322.841 245.241 1292.513 1118.138 940.031 550.716 402.627 299.329 258.926 212.014 158.554 871.364 775.437 683.258 486.875 403.289 333.879 280.543 210.397 174.188 144.196 112.718 650.265 569.714

L=12m 1433.636 1223.262 995.024 752.478 643.424 537.499 353.414 279.037 220.582 164.793 1110.684 938.753 751.113 392.731 283.525 210.739 181.034 146.763 108.004 740.055 643.786 539.896 350.347 288.306 237.105 197.767 150.372 123.631 101.539 78.443 549.513 464.672

Mn = Mcr ≤ Mp


b3


Section Index 24" WF 24 x 14 24" WF 24 x 12


18" WF 18 x 8-3/4

18" WF 18 x 7-1/2 16" WF 16 x 11-1/2

BJ 41 L=3m 1899.682 1706.581 1512.524 1378.268 1262.300 1142.676 1036.146 918.941 820.923 719.756 1462.236 1301.342 1138.734 928.155 785.897 705.415 655.109 590.705 514.379 1013.708 928.254 843.851 726.964 656.818 592.788 540.179 503.593 457.841 413.954 366.538 763.090 691.965

L=5m 1899.682 1706.581 1512.524 1378.268 1262.300 1142.676 921.570 793.088 684.828 577.482 1462.236 1301.342 1138.734 869.933 708.991 592.154 536.664 467.380 382.486 1013.708 928.254 843.851 702.357 622.066 548.642 489.575 411.661 361.666 316.011 265.452 763.090 691.965

(*5) Mn = Mp

L=7m 1899.682 1686.052 1461.957 1244.777 1119.171 989.950 709.299 573.408 464.794 358.743 1461.243 1278.538 1092.353 720.061 561.560 417.585 363.988 301.218 228.950 990.306 890.850 794.719 600.072 520.541 448.372 390.817 288.470 240.780 201.121 159.251 740.765 657.435

BJ 50 L=9m 1731.150 1511.208 1289.517 1063.917 943.180 808.688 505.038 403.341 322.841 245.241 1330.923 1150.289 965.958 550.716 402.627 299.329 258.926 212.014 158.554 896.117 796.570 701.143 486.875 403.289 333.879 280.543 210.397 174.188 144.196 112.718 668.511 584.934

L=12m 1466.111 1248.429 995.024 752.478 643.424 537.499 353.414 279.037 220.582 164.793 1135.444 957.916 751.113 392.731 283.525 210.739 181.034 146.763 108.004 754.834 646.639 539.896 350.347 288.306 237.105 197.767 150.372 123.631 101.539 78.443 560.130 464.672

L=3m 2203.632 1979.634 1754.528 1598.791 1464.268 1325.504 1201.929 1065.972 952.270 834.916 1696.194 1509.556 1320.932 1076.659 911.641 818.282 759.926 685.218 589.114 1175.901 1076.775 978.868 843.278 761.908 687.634 626.608 584.168 530.412 474.108 412.736 885.184 802.679


L=5m 2203.632 1979.634 1754.528 1598.791 1463.263 1309.543 1022.103 877.965 756.536 625.843 1696.194 1509.556 1320.932 969.459 787.389 652.156 590.018 506.040 393.025 1175.901 1076.775 978.868 786.337 694.903 611.455 544.704 450.821 388.420 328.984 265.452 885.184 802.679

L=7m 2149.961 1896.662 1641.337 1384.614 1243.589 1098.792 709.299 573.408 464.794 358.743 1645.292 1436.791 1224.732 757.054 561.560 417.585 363.988 301.218 228.950 1111.396 997.427 887.979 654.363 552.769 461.226 390.817 288.470 240.780 201.121 159.251 830.685 735.255

BJ 55 L=9m 1924.302 1675.470 1425.537 1108.047 956.860 808.688 505.038 403.341 322.841 245.241 1477.237 1272.986 1065.192 550.716 402.627 299.329 258.926 212.014 158.554 989.518 876.226 768.647 486.875 403.289 333.879 280.543 210.397 174.188 144.196 112.718 737.270 642.247

L=12m 1521.720 1248.429 995.024 752.478 643.424 537.499 353.414 279.037 220.582 164.793 1180.272 960.884 751.113 392.731 283.525 210.739 181.034 146.763 108.004 763.189 646.639 539.896 350.347 288.306 237.105 197.767 150.372 123.631 101.539 78.443 561.077 464.672

L=3m 3115.479 2798.793 2480.539 2260.360 2070.173 1873.988 1699.279 1496.847 1318.548 1142.731 2398.067 2134.201 1867.524 1522.173 1288.871 1122.111 1031.810 917.607 777.874 1662.481 1522.337 1383.916 1192.221 1077.181 972.173 885.894 781.421 701.075 625.911 543.132 1251.468 1134.822

L=5m 3115.479 2798.793 2480.539 2138.519 1939.215 1733.609 1172.225 964.153 794.827 625.843 2398.067 2134.201 1855.744 1210.452 918.544 683.289 602.367 506.040 393.025 1652.596 1495.052 1343.537 1012.510 879.582 743.282 638.097 459.255 388.420 328.984 265.452 1236.995 1105.533

L=7m 2823.188 2484.392 2143.787 1604.767 1398.807 1194.747 709.299 573.408 464.794 358.743 2151.095 1874.002 1592.618 757.054 561.560 417.585 363.988 301.218 228.950 1439.300 1286.559 1100.418 662.068 552.769 461.226 390.817 288.470 240.780 201.121 159.251 1073.875 928.298

L=9m 2237.645 1857.664 1502.137 1108.047 956.860 808.688 505.038 403.341 322.841 245.241 1699.127 1398.160 1108.428 550.716 402.627 299.329 258.926 212.014 158.554 1081.638 923.012 777.292 486.875 403.289 333.879 280.543 210.397 174.188 144.196 112.718 793.872 662.566

L=12m 1521.720 1248.429 995.024 752.478 643.424 537.499 353.414 279.037 220.582 164.793 1180.272 960.884 751.113 392.731 283.525 210.739 181.034 146.763 108.004 763.189 646.639 539.896 350.347 288.306 237.105 197.767 150.372 123.631 101.539 78.443 561.077 464.672


b4


Section Index

BJ 34

L=3m 1197.23 24" WF 24 x 14 1109.25 1031.12 1013.67 24" WF 930.98 24 x 12 854.87 946.02 24" WF 861.71 806.27 24 x 9 762.39 21" WF 1032.22 920.44 21 x 13 825.11 21" WF 901.10 21 x 9 781.64 730.32 690.99 21" WF 21 x 8-1/4 642.33 601.54 18" WF 797.07 18 x 11-3/4 742.32 685.96 704.86 18" WF 637.22 18 x 8-3/4 587.37 540.82 570.95 18" WF 534.43 18 x 7-1/2 490.25 459.63 16" WF 634.49 16 x 11-1/2 596.12

L=5m 1197.23 1109.25 1031.12 1013.67 930.98 854.87 946.02 861.71 806.27 762.39 1032.22 920.44 825.11 901.10 781.64 730.32 690.99 642.33 601.54 797.07 742.32 685.96 704.86 637.22 587.37 540.82 570.95 534.43 490.25 459.63 634.49 596.12

*1 Vn = 0.6 fy Aw

L=7m 1197.23 1109.25 1031.12 1013.67 930.98 854.87 946.02 861.71 806.27 762.39 1032.22 920.44 825.11 901.10 781.64 730.32 690.99 642.33 601.54 797.07 742.32 685.96 704.86 637.22 587.37 540.82 570.95 534.43 490.25 459.63 634.49 596.12

BJ 37 L=9m 1197.23 1109.25 1031.12 1013.67 930.98 854.87 946.02 861.71 806.27 762.39 1032.22 920.44 825.11 901.10 781.64 730.32 690.99 642.33 601.54 797.07 742.32 685.96 704.86 637.22 587.37 540.82 570.95 534.43 490.25 459.63 634.49 596.12

L=12m 1197.23 1109.25 1031.12 1013.67 930.98 854.87 946.02 861.71 806.27 762.39 1032.22 920.44 825.11 901.10 781.64 730.32 690.99 642.33 601.54 797.07 742.32 685.96 704.86 637.22 587.37 540.82 570.95 534.43 490.25 459.63 634.49 596.12


L=3m 1368.27 1267.72 1178.43 1158.48 1063.98 976.99 1081.17 984.82 921.45 871.30 1179.68 1051.93 942.99 1029.83 893.30 834.65 789.70 734.09 687.47 910.94 848.36 783.96 805.55 728.26 671.28 618.08 652.52 610.77 560.29 525.30 725.13 681.28

L=5m 1368.27 1267.72 1178.43 1158.48 1063.98 976.99 1081.17 984.82 921.45 871.30 1179.68 1051.93 942.99 1029.83 893.30 834.65 789.70 734.09 687.47 910.94 848.36 783.96 805.55 728.26 671.28 618.08 652.52 610.77 560.29 525.30 725.13 681.28

L=7m 1368.27 1267.72 1178.43 1158.48 1063.98 976.99 1081.17 984.82 921.45 871.30 1179.68 1051.93 942.99 1029.83 893.30 834.65 789.70 734.09 687.47 910.94 848.36 783.96 805.55 728.26 671.28 618.08 652.52 610.77 560.29 525.30 725.13 681.28

BJ 41 L=9m 1368.27 1267.72 1178.43 1158.48 1063.98 976.99 1081.17 984.82 921.45 871.30 1179.68 1051.93 942.99 1029.83 893.30 834.65 789.70 734.09 687.47 910.94 848.36 783.96 805.55 728.26 671.28 618.08 652.52 610.77 560.29 525.30 725.13 681.28

L=12m 1368.27 1267.72 1178.43 1158.48 1063.98 976.99 1081.17 984.82 921.45 871.30 1179.68 1051.93 942.99 1029.83 893.30 834.65 789.70 734.09 687.47 910.94 848.36 783.96 805.55 728.26 671.28 618.08 652.52 610.77 560.29 525.30 725.13 681.28

L=3m 1425.28 1320.54 1227.53 1206.75 1108.31 1017.70 1126.21 1025.85 959.85 907.60 1228.83 1095.76 982.28 1072.74 930.52 869.43 822.60 764.68 716.11 948.89 883.71 816.62 839.11 758.60 699.25 643.83 679.70 636.22 583.63 547.18 755.35 709.67

L=5m 1425.28 1320.54 1227.53 1206.75 1108.31 1017.70 1126.21 1025.85 959.85 907.60 1228.83 1095.76 982.28 1072.74 930.52 869.43 822.60 764.68 716.11 948.89 883.71 816.62 839.11 758.60 699.25 643.83 679.70 636.22 583.63 547.18 755.35 709.67

L=7m 1425.28 1320.54 1227.53 1206.75 1108.31 1017.70 1126.21 1025.85 959.85 907.60 1228.83 1095.76 982.28 1072.74 930.52 869.43 822.60 764.68 716.11 948.89 883.71 816.62 839.11 758.60 699.25 643.83 679.70 636.22 583.63 547.18 755.35 709.67

BJ 50 L=9m 1425.28 1320.54 1227.53 1206.75 1108.31 1017.70 1126.21 1025.85 959.85 907.60 1228.83 1095.76 982.28 1072.74 930.52 869.43 822.60 764.68 716.11 948.89 883.71 816.62 839.11 758.60 699.25 643.83 679.70 636.22 583.63 547.18 755.35 709.67

L=12m 1425.28 1320.54 1227.53 1206.75 1108.31 1017.70 1126.21 1025.85 959.85 907.60 1228.83 1095.76 982.28 1072.74 930.52 869.43 822.60 764.68 716.11 948.89 883.71 816.62 839.11 758.60 699.25 643.83 679.70 636.22 583.63 547.18 755.35 709.67

L=3m 1653.32 1531.82 1423.93 1399.83 1285.64 1180.53 1306.41 1189.98 1113.42 1052.82 1425.45 1271.08 1139.44 1244.38 1079.41 1008.54 954.22 887.03 830.69 1100.72 1025.10 947.28 973.37 879.98 811.13 746.84 788.46 738.02 677.01 634.73 876.20 823.22

L=5m 1653.32 1531.82 1423.93 1399.83 1285.64 1180.53 1306.41 1189.98 1113.42 1052.82 1425.45 1271.08 1139.44 1244.38 1079.41 1008.54 954.22 887.03 830.69 1100.72 1025.10 947.28 973.37 879.98 811.13 746.84 788.46 738.02 677.01 634.73 876.20 823.22

L=7m 1653.32 1531.82 1423.93 1399.83 1285.64 1180.53 1306.41 1189.98 1113.42 1052.82 1425.45 1271.08 1139.44 1244.38 1079.41 1008.54 954.22 887.03 830.69 1100.72 1025.10 947.28 973.37 879.98 811.13 746.84 788.46 738.02 677.01 634.73 876.20 823.22

L=9m 1653.32 1531.82 1423.93 1399.83 1285.64 1180.53 1306.41 1189.98 1113.42 1052.82 1425.45 1271.08 1139.44 1244.38 1079.41 1008.54 954.22 887.03 830.69 1100.72 1025.10 947.28 973.37 879.98 811.13 746.84 788.46 738.02 677.01 634.73 876.20 823.22

L=12m 1653.32 1531.82 1423.93 1399.83 1285.64 1180.53 1306.41 1189.98 1113.42 1052.82 1425.45 1271.08 1139.44 1244.38 1079.41 1008.54 954.22 887.03 830.69 1100.72 1025.10 947.28 973.37 879.98 811.13 746.84 788.46 738.02 677.01 634.73 876.20 823.22

Vn = (0.9 Aw Kn E)/(h/tw)2

b5

Kuat Geser Nominal


Section

Vn (KN) *1


Index

BJ 55

24" WF 24 x 14 24" WF 24 x 12


18" WF 18 x 8-3/4

18" WF 18 x 7-1/2 16" WF 16 x 11-1/2

L=3m 2337.46 2165.68 2013.15 1979.07 1817.63 1669.03 1846.99 1682.39 1574.15 1488.47 2015.29 1797.05 1610.93 1759.29 1526.06 1425.86 1349.07 1254.08 1174.43 1556.18 1449.28 1339.26 1376.15 1244.10 1146.78 1055.88 1114.71 1043.40 957.16 897.38 1238.77 1163.86

L=5m 2337.46 2165.68 2013.15 1979.07 1817.63 1669.03 1846.99 1682.39 1574.15 1488.47 2015.29 1797.05 1610.93 1759.29 1526.06 1425.86 1349.07 1254.08 1174.43 1556.18 1449.28 1339.26 1376.15 1244.10 1146.78 1055.88 1114.71 1043.40 957.16 897.38 1238.77 1163.86

*1 Vn = 0.6 fy Aw

L=7m 2337.46 2165.68 2013.15 1979.07 1817.63 1669.03 1846.99 1682.39 1574.15 1488.47 2015.29 1797.05 1610.93 1759.29 1526.06 1425.86 1349.07 1254.08 1174.43 1556.18 1449.28 1339.26 1376.15 1244.10 1146.78 1055.88 1114.71 1043.40 957.16 897.38 1238.77 1163.86

BJ 34 L=9m 2337.46 2165.68 2013.15 1979.07 1817.63 1669.03 1846.99 1682.39 1574.15 1488.47 2015.29 1797.05 1610.93 1759.29 1526.06 1425.86 1349.07 1254.08 1174.43 1556.18 1449.28 1339.26 1376.15 1244.10 1146.78 1055.88 1114.71 1043.40 957.16 897.38 1238.77 1163.86

L=12m 2337.46 2165.68 2013.15 1979.07 1817.63 1669.03 1846.99 1682.39 1574.15 1488.47 2015.29 1797.05 1610.93 1759.29 1526.06 1425.86 1349.07 1254.08 1174.43 1556.18 1449.28 1339.26 1376.15 1244.10 1146.78 1055.88 1114.71 1043.40 957.16 897.38 1238.77 1163.86


L=3m 6230.205 5634.146 5035.506 4536.717 4152.273 3769.282 3298.943 2936.316 2641.935 2341.400 5476.670 4892.553 4303.279 3391.304 2882.171 2498.711 2322.945 2103.578 1845.455 4328.122 3978.211 3635.076 3012.556 2722.913 2464.248 2248.279 2004.866 1833.333 1657.987 1478.483 3635.076 3324.171

L=5m 5630.300 5083.627 4532.837 3991.402 3654.000 3306.716 2707.375 2396.135 2144.586 1879.944 4915.204 4380.000 3843.669 2800.000 2366.304 1996.225 1849.489 1663.030 1441.420 3828.162 3513.529 3202.764 2498.597 2252.755 2028.114 1845.870 1557.888 1417.636 1276.682 1126.508 3202.764 2922.500

L=7m 5030.387 4532.967 4028.405 3450.000 3152.265 2846.467 2111.844 1849.392 1605.457 1344.417 4348.501 3867.661 3388.383 2207.972 1850.142 1393.293 1270.820 1115.573 923.116 3326.154 3045.229 2773.096 1983.060 1781.522 1593.021 1443.229 981.941 880.441 780.000 667.622 2773.096 2524.838

BJ 37 L=9m 4426.042 3980.014 3526.226 2905.043 2647.826 2383.682 1293.368 1118.596 970.861 813.514 3779.158 3356.934 2928.150 1386.038 1137.310 843.043 768.884 674.754 558.395 2827.024 2577.744 2346.074 1266.486 1125.138 989.640 887.175 594.108 532.484 471.832 403.805 2346.074 2124.167

Vn = (0.9 Aw Kn E)/(h/tw)2

L=12m 3497.119 3092.369 2670.019 1809.536 1634.595 1452.126 727.578 629.358 546.123 457.601 2751.319 2409.000 2058.824 779.602 639.667 474.180 432.469 379.573 314.041 1820.632 1638.041 1477.199 712.419 632.981 556.781 498.981 334.238 299.539 265.410 227.156 1477.199 1315.331

L=3m 7044.487 6370.656 5693.936 5116.854 4687.746 4255.462 3701.730 3292.255 2962.532 2619.289 6193.103 5532.632 4866.412 3804.878 3231.169 2797.980 2599.162 2352.000 2062.222 4885.876 4490.977 4099.812 3382.677 3057.592 2762.500 2520.519 2238.689 2045.677 1848.701 1647.588 4099.812 3752.809

L=5m 6311.958 5699.482 5082.474 4453.790 4077.461 3690.364 2975.800 2632.897 2352.717 2058.511 5502.638 4907.980 4303.797 3082.569 2602.510 2182.534 2020.065 1813.882 1566.979 4277.659 3923.153 3576.432 2753.846 2481.586 2231.697 2030.126 1693.242 1539.595 1382.878 1218.549 3576.432 3261.188

L=7m 5581.609 5026.657 4464.906 3792.366 3463.165 3125.926 2138.264 1849.233 1605.191 1344.625 4810.714 4279.497 3744.493 2291.410 1880.101 1393.711 1270.820 1115.573 922.873 3664.407 3350.912 3051.955 2092.774 1860.119 1636.195 1466.599 982.004 880.386 780.000 667.622 3051.955 2773.702

L=9m 4846.307 4353.562 3849.057 3128.105 2850.512 2561.889 1293.298 1118.596 971.104 813.399 4120.841 3654.614 3183.521 1386.117 1137.371 842.853 768.952 674.812 558.351 3050.441 2781.374 2526.243 1266.634 1125.331 989.860 887.223 594.224 532.484 471.797 403.862 2526.243 2285.063

L=12m 3497.719 3091.335 2669.374 1809.536 1634.976 1452.043 727.600 629.340 546.138 457.565 2751.319 2409.000 2059.566 779.652 639.726 474.180 432.469 379.546 314.034 1820.632 1638.543 1477.110 712.372 632.919 556.729 499.027 334.194 299.552 265.416 227.165 1477.110 1315.176

*2 Nn = A . fy / ω

b6



Index 24" WF 24 x 14 24" WF 24 x 12


18" WF 18 x 8-3/4

18" WF 18 x 7-1/2 16" WF 16 x 11-1/2

BJ 41 L=3m 7316.779 6616.939 5914.107 5310.168 4860.335 4412.175 3832.760 3408.896 3064.996 2710.084 6432.665 5741.182 5049.905 3939.394 3345.525 2895.067 2689.425 2431.762 2132.353 5070.356 4660.581 4254.673 3502.174 3165.655 2860.224 2609.725 2314.890 2115.385 1910.225 1702.552 4254.673 3894.590

L=5m 6535.314 5901.288 5262.596 4605.583 4213.075 3813.253 3061.470 2707.201 2417.895 2113.368 5697.970 5077.993 4453.060 3172.943 2675.499 2241.100 2073.171 1860.759 1607.143 4423.077 4053.339 3698.213 2834.272 2554.234 2297.297 2087.061 1734.756 1575.694 1416.418 1245.624 3698.213 3372.375

L=7m 5756.829 5184.766 4605.755 3901.645 3560.709 3214.286 2137.890 1849.188 1605.117 1344.450 4959.499 4412.088 3858.025 2290.749 1880.290 1393.360 1271.028 1115.220 923.077 3771.807 3449.411 3139.655 2093.567 1859.873 1636.027 1466.747 982.305 880.371 780.107 667.448 3139.655 2851.776

BJ 50 L=9m 4978.675 4470.091 3952.854 3196.238 2908.078 2581.917 1293.435 1118.596 971.063 813.623 4222.571 3745.336 3261.203 1386.139 1137.112 842.970 768.819 674.699 558.289 3120.670 2842.661 2580.782 1266.509 1125.241 989.552 887.020 594.101 532.484 471.787 403.878 2580.782 2333.706

L=12m 3496.544 3091.625 2669.193 1809.297 1635.082 1451.835 727.607 629.293 546.177 457.609 2751.788 2409.000 2059.109 779.610 639.786 474.153 432.469 379.538 314.032 1820.632 1638.683 1476.886 712.359 632.994 556.675 499.074 334.214 299.513 265.417 227.158 1476.886 1315.479

L=3m 8382.381 7580.798 6769.413 6069.210 5555.229 5038.518 4341.478 3858.598 3469.900 3066.393 7363.431 6572.060 5775.539 4465.313 3789.496 3268.104 3036.305 2745.894 2402.857 5794.640 5326.476 4862.707 3972.704 3591.179 3242.327 2956.050 2604.736 2380.597 2150.078 1915.391 4862.707 4447.199

L=5m 7408.670 6684.828 5957.083 5187.196 4741.738 4289.019 3377.335 2984.248 2658.640 2317.844 6440.725 5740.427 5034.722 3506.977 2955.111 2452.076 2266.667 2031.209 1746.021 4983.943 4567.959 4164.748 3139.718 2824.550 2538.218 2305.177 1881.528 1708.286 1528.944 1308.639 4164.748 3795.455

L=7m 6433.845 5791.576 5139.109 4304.628 3926.848 3539.267 2137.757 1849.040 1604.871 1345.079 5525.177 4909.417 4288.448 2291.047 1879.937 1393.408 1271.179 1115.421 923.049 4171.524 3811.155 3467.433 2093.849 1860.077 1636.340 1466.472 982.202 880.320 779.908 667.547 3467.433 3146.849

BJ 55 L=9m 5459.988 4898.649 4321.947 3217.199 2905.915 2580.949 1293.483 1118.596 970.928 813.482 4603.771 4078.284 3543.703 1386.211 1137.327 842.917 768.969 674.826 558.340 3236.026 2912.434 2625.681 1266.527 1125.316 989.807 887.188 594.095 532.484 471.856 403.848 2625.681 2338.202

L=12m 3496.127 3091.085 2669.841 1809.123 1634.884 1452.103 727.499 629.246 546.216 457.615 2750.915 2409.000 2059.315 779.616 639.759 474.203 432.469 379.566 314.066 1820.632 1638.567 1477.175 712.316 633.003 556.699 499.053 334.197 299.531 265.391 227.159 1477.175 1315.586

L=3m 11458.103 10363.051 9246.569 8225.286 7522.671 6823.751 5751.613 5105.781 4579.180 4034.325 10041.273 8954.578 7870.370 5931.638 5024.035 4295.386 3982.857 3595.526 3133.529 7872.291 7223.982 6595.495 5284.080 4769.721 4301.108 3919.070 3395.779 3095.737 2793.180 2477.990 6595.495 6027.289

L=5m 9821.231 8857.031 7877.241 6740.578 6158.849 5561.357 4134.785 3625.742 3146.968 2636.262 8489.931 7556.924 6615.414 4318.287 3620.386 2731.690 2491.335 2186.667 1808.938 6503.448 5949.781 5422.004 3878.509 3484.284 3115.530 2824.134 1925.034 1725.013 1528.841 1308.323 5422.004 4932.997

L=7m 8186.513 7354.860 6503.539 5262.514 4790.599 4266.247 2138.296 1849.423 1604.964 1344.946 6951.164 6165.356 5368.145 2291.593 1879.985 1393.497 1271.074 1115.466 922.997 5138.667 4677.994 4249.345 2093.534 1859.728 1636.298 1466.509 982.274 880.226 779.935 667.569 4249.345 3844.469

L=9m 6217.864 5496.648 4744.836 3216.434 2906.893 2581.318 1293.572 1118.836 971.079 813.536 4890.050 4282.667 3660.714 1386.023 1137.213 842.976 768.824 674.704 558.343 3236.586 2912.792 2625.442 1266.558 1125.188 989.822 887.099 594.180 532.484 471.839 403.852 2625.442 2338.856

L=12m 3496.593 3091.158 2669.264 1809.244 1634.910 1451.916 727.574 629.312 546.162 457.625 2751.034 2409.000 2059.084 779.626 639.709 474.196 432.513 379.541 314.043 1820.632 1638.354 1476.973 712.332 632.937 556.743 499.014 334.196 299.537 265.409 227.161 1476.973 1315.466

*2 Nn = A . fy / ω

b7


Section Index 24" WF 24 x 14 24" WF 24 x 12


18" WF 18 x 8-3/4

18" WF 18 x 7-1/2 16" WF 16 x 11-1/2

BJ 34 L=3m 6373.500 5775.000 5176.500 4687.941 4294.613 3898.240 3466.944 3088.007 2782.645 2469.462 5640.479 5038.745 4435.885 3555.349 3026.413 2641.689 2457.609 2226.871 1959.249 4468.701 4111.209 3756.483 3158.824 2854.749 2585.515 2360.797 2129.947 1948.934 1765.190 1578.697 3756.483 3434.868

L=5m 5912.338 5342.276 4766.575 4246.625 3887.234 3522.880 2983.506 2650.356 2378.571 2095.128 5180.769 4620.000 4060.510 3077.295 2608.227 2232.157 2072.727 1869.493 1631.250 4064.637 3729.795 3405.254 2739.352 2474.576 2233.039 2034.585 1766.297 1612.417 1454.672 1291.145 3405.254 3111.801

L=7m 5424.255 4894.068 4360.994 3807.086 3480.000 3147.514 2501.202 2210.964 1971.568 1722.187 4718.432 4205.237 3688.017 2594.705 2188.673 1823.511 1685.217 1512.309 1302.674 3655.556 3352.927 3056.835 2320.370 2089.980 1878.947 1707.306 1404.113 1275.872 1144.687 1005.833 3056.835 2787.758

BJ 37 L=9m 4933.050 4445.727 3951.527 3365.025 3070.588 2775.157 1959.084 1694.886 1471.019 1232.064 4256.885 3786.602 3315.379 2100.000 1723.219 1277.058 1164.464 1022.080 845.670 3247.639 2971.642 2708.286 1901.686 1707.127 1499.112 1344.222 900.113 806.801 714.621 611.821 2708.286 2461.053

L=12m 4201.384 3774.510 3337.524 2704.581 2461.988 2198.704 1102.075 953.336 827.386 693.282 3567.087 3163.790 2756.331 1180.997 968.991 718.370 655.165 574.994 475.704 2638.117 2404.313 2183.952 1079.139 958.874 843.179 755.875 506.314 453.761 401.997 344.058 2183.952 1973.551

L=3m 7254.980 6567.164 5869.048 5305.631 4860.524 4412.004 3904.380 3477.818 3134.118 2779.174 6388.933 5707.404 5024.631 4007.339 3408.219 2970.509 2763.636 2504.348 2201.757 5057.310 4652.775 4247.230 3560.221 3220.588 2914.286 2658.630 2391.594 2188.482 1980.522 1768.421 4247.230 3887.488

L=5m 6658.135 6016.408 5368.421 4768.586 4361.358 3956.250 3317.209 2940.507 2637.624 2320.840 5830.117 5199.281 4565.801 3420.517 2897.516 2469.539 2291.796 2066.179 1800.000 4563.588 4187.905 3823.622 3049.211 2752.553 2480.436 2260.248 1948.074 1776.204 1601.688 1419.391 3823.622 3491.289

L=7m 6059.900 5472.637 4869.136 4226.450 3863.685 3495.092 2727.342 2407.552 2143.069 1863.937 5265.147 4689.051 4112.903 2834.523 2384.665 1971.530 1820.787 1629.561 1398.214 4066.458 3724.396 3398.445 2537.008 2284.224 2049.195 1860.192 1487.379 1333.156 1181.634 1011.524 3398.445 3094.981

BJ 41 L=9m 5464.366 4921.700 4372.506 3689.939 3367.742 3036.376 1959.565 1694.618 1470.573 1232.239 4702.255 4183.502 3655.914 2100.000 1722.793 1277.233 1164.620 1022.146 845.772 3568.638 3261.706 2969.022 1918.809 1704.073 1499.364 1343.889 899.901 806.755 714.821 611.821 2969.022 2698.990

L=12m 4569.636 4099.379 3620.563 2740.966 2476.195 2199.083 1102.176 953.124 827.280 693.199 3860.060 3419.042 2972.028 1180.940 969.036 718.314 655.214 574.973 475.784 2758.166 2482.286 2236.929 1079.246 958.687 843.299 755.910 506.247 453.731 402.048 344.109 2236.929 1992.791

L=3m 7534.757 6820.437 6095.450 5510.649 5043.478 4578.110 4048.592 3606.335 3247.075 2879.464 6642.012 5927.657 5218.566 4155.251 3534.091 3077.778 2863.475 2592.593 2279.476 5252.672 4827.837 4411.337 3691.567 3339.433 3021.878 2756.818 2476.066 2265.828 2050.562 1831.046 4411.337 4037.718

L=5m 6904.004 6238.657 5566.847 4937.121 4515.571 4092.672 3423.579 3035.034 2720.588 2394.209 6040.359 5386.852 4734.848 3529.868 2990.385 2547.829 2362.838 2128.892 1852.378 4724.650 4339.582 3958.696 3146.484 2840.467 2561.824 2332.692 2006.347 1828.202 1648.714 1460.328 3958.696 3617.851

L=7m 6270.661 5658.436 5034.722 4362.069 3987.777 3604.784 2796.424 2465.965 2195.679 1908.284 5444.624 4849.034 4250.000 2907.348 2446.507 2015.425 1861.671 1663.837 1398.526 4199.689 3846.600 3507.319 2603.426 2342.747 2103.426 1908.433 1487.582 1333.759 1181.818 1011.249 3507.319 3194.338

L=9m 5632.888 5073.801 4504.751 3789.947 3459.245 3119.251 1959.341 1694.843 1470.948 1232.092 4845.324 4304.861 3765.060 2099.193 1722.992 1277.086 1164.489 1022.164 845.687 3669.382 3354.111 3053.320 1917.857 1704.612 1499.152 1344.044 899.960 806.638 714.608 611.748 3053.320 2772.244

L=12m 4686.535 4199.756 3707.882 2740.072 2476.868 2199.189 1101.978 953.349 827.408 693.176 3947.831 3495.357 3039.188 1181.051 969.149 718.361 655.172 574.921 475.735 2757.653 2482.544 2237.101 1079.035 958.634 843.243 755.999 506.228 453.756 402.033 344.077 2237.101 1992.840

*2 Nn = A . fy / ω

b8



Index 24" WF 24 x 14 24" WF 24 x 12


18" WF 18 x 8-3/4

18" WF 18 x 7-1/2 16" WF 16 x 11-1/2


BJ 50 L=3m 8662.894 7833.988 7001.469 6312.906 5783.381 5249.857 4612.578 4105.329 3696.731 3275.832 7622.049 6802.434 5988.824 4737.882 4026.339 3498.693 3252.431 2945.078 2587.692 6022.863 5535.858 5058.333 4208.919 3804.133 3442.614 3140.804 2808.681 2570.399 2324.409 2074.204 5058.333 4625.597

L=5m 7865.505 7107.843 6337.323 5600.763 5122.843 4639.511 3830.148 3393.979 3038.998 2668.331 6877.289 6128.158 5382.096 3956.522 3347.810 2836.511 2627.489 2365.049 2054.003 5363.388 4922.336 4490.561 3531.293 3183.459 2867.562 2611.507 2220.861 2023.031 1822.583 1610.273 4490.561 4100.762

L=7m 7075.161 6380.000 5673.413 4880.488 4458.910 4031.552 3046.965 2682.879 2381.730 2037.304 6127.529 5453.630 4777.132 3177.604 2666.765 2111.170 1925.138 1689.362 1398.430 4703.526 4305.667 3923.403 2850.458 2562.954 2295.761 2080.248 1487.414 1333.553 1181.793 1011.373 3923.403 3574.170

BJ 55 L=9m 6282.298 5652.020 5009.460 4168.750 3798.745 3424.813 1959.526 1694.812 1470.896 1232.112 5380.579 4778.454 4172.309 2099.652 1722.827 1277.107 1164.507 1022.226 845.698 4042.424 3691.752 3357.216 1918.645 1704.680 1499.181 1343.916 900.157 806.520 714.831 611.695 3357.216 3045.912

L=12m 5093.461 4562.357 4016.011 2741.380 2476.564 2199.541 1102.201 953.359 827.425 693.099 4166.720 3650.477 3118.280 1181.091 969.003 718.355 655.178 574.988 475.757 2757.471 2482.063 2237.669 1078.961 958.732 843.289 755.885 506.263 453.753 402.060 344.092 2237.669 1993.004

L=3m 11919.061 10779.159 9634.414 8636.170 7912.015 7175.945 6205.688 5519.764 4963.339 4385.572 10479.507 9344.276 8219.340 6383.234 5416.737 4681.369 4349.097 3929.584 3443.604 8253.445 7579.480 6925.881 5679.364 5129.392 4634.783 4225.404 3735.629 3413.944 3085.567 2748.352 6925.881 6328.096

L=5m 10590.213 9563.189 8521.501 7438.805 6799.682 6154.862 4889.833 4322.354 3856.780 3368.790 9219.866 8217.055 7206.369 5072.740 4278.859 3564.658 3296.329 2958.037 2547.857 7142.788 6546.191 5972.880 4536.470 4086.007 3673.378 3337.785 2747.821 2495.341 2240.012 1967.079 5972.880 5442.766

L=7m 9258.557 8333.333 7404.029 6232.109 5688.239 5129.051 3238.228 2801.886 2430.940 2037.169 7963.518 7080.215 6187.855 3470.698 2847.795 2110.967 1925.379 1689.566 1398.252 6034.173 5515.608 5020.915 3171.717 2816.941 2478.222 2221.463 1487.700 1333.178 1181.298 1011.235 5020.915 4558.589

BJ 34 L=9m 7930.848 7118.056 6285.137 4871.859 4401.440 3910.056 1959.209 1694.755 1470.802 1232.149 6706.375 5942.780 5173.694 2099.754 1722.526 1276.785 1164.860 1022.067 845.720 4900.733 4412.486 3976.618 1918.693 1704.199 1499.235 1343.681 900.082 806.684 714.746 611.732 3976.618 3543.079

L=12m 5297.924 4683.281 4044.622 2740.756 2476.904 2199.407 1102.194 953.203 827.310 693.185 4168.075 3649.663 3118.568 1180.930 969.105 718.229 655.189 574.941 475.732 2757.138 2482.128 2237.034 1079.044 958.719 843.374 755.964 506.258 453.746 402.056 344.118 2237.034 1992.579

L=3m 6007.069 5427.632 4846.910 4331.250 3964.557 3595.942 3076.664 2734.804 2455.673 2167.200 5267.598 4701.580 4131.944 3169.154 2687.654 2312.003 2146.519 1938.462 1694.281 4142.518 3801.000 3473.297 2819.250 2546.512 2299.422 2096.543 1836.895 1676.471 1514.362 1347.408 3473.297 3173.756

L=5m 5254.328 4737.490 4218.826 3652.941 3339.528 3018.849 2335.808 2061.207 1833.212 1592.593 4558.743 4060.112 3558.612 2429.752 2044.771 1681.214 1552.174 1388.196 1157.703 3514.087 3221.186 2934.843 2177.027 1957.854 1755.738 1595.053 1231.856 1104.151 978.110 837.548 2934.843 2673.018

L=7m 4504.240 4049.790 3589.806 2975.544 2711.688 2442.070 1368.406 1183.350 1027.220 860.683 3851.191 3420.487 2984.950 1466.475 1203.316 891.836 813.553 713.757 590.744 2888.168 2636.255 2399.059 1339.842 1190.680 1046.842 938.664 628.688 563.415 499.161 427.254 2399.059 2174.210

L=9m 3751.324 3361.467 2959.691 2058.859 1859.936 1652.160 827.698 716.021 621.441 520.711 3129.959 2741.951 2342.520 887.032 727.891 539.485 492.079 431.843 357.359 2070.787 1864.482 1680.000 810.566 720.141 633.403 567.802 380.239 340.827 301.955 258.462 1680.000 1496.320

L=12m 2238.279 1978.587 1708.416 1158.147 1046.492 929.310 465.637 402.755 349.566 292.865 1761.058 1541.760 1317.829 498.956 409.403 303.482 276.787 242.921 200.999 1164.901 1048.552 945.389 455.943 405.087 356.315 319.361 213.900 191.701 169.861 145.376 945.389 841.764

*2 Nn = A . fy / ω

b9



Index 24" WF 24 x 14 24" WF 24 x 12


18" WF 18 x 8-3/4

18" WF 18 x 7-1/2 16" WF 16 x 11-1/2

BJ 37 L=3m 6775.814 6122.449 5467.652 4870.588 4458.363 4044.011 3428.846 3045.860 2733.386 2409.339 5937.190 5294.505 4653.285 3531.124 2995.185 2566.795 2383.397 2149.581 1876.854 4657.810 4277.887 3905.630 3145.972 2839.546 2564.384 2336.437 2033.656 1855.030 1674.706 1486.294 3905.630 3569.012

L=5m 5855.305 5280.000 4698.967 4039.024 3690.133 3338.901 2521.626 2220.313 1971.087 1687.193 5071.059 4513.349 3953.488 2629.741 2208.284 1748.323 1594.242 1398.959 1157.990 3895.495 3563.311 3249.368 2360.440 2121.065 1899.940 1722.604 1232.352 1104.238 978.561 837.426 3249.368 2957.934

L=7m 4938.305 4438.467 3928.287 3212.698 2925.394 2632.929 1368.249 1183.480 1027.275 860.598 4203.901 3732.473 3254.627 1466.387 1203.386 891.751 813.325 713.854 590.595 3129.554 2852.776 2592.171 1339.593 1190.318 1047.273 938.718 628.585 563.437 499.200 427.223 2592.171 2347.979

BJ 41 L=9m 3977.611 3517.655 3037.741 2058.305 1860.306 1652.053 827.898 716.069 621.480 520.664 3131.041 2741.719 2342.135 887.129 727.840 539.501 492.093 431.807 357.305 2071.377 1863.832 1680.115 810.566 720.062 633.471 567.762 380.258 340.819 301.969 258.462 1680.115 1496.919

L=12m 2237.788 1978.269 1708.592 1158.103 1046.453 929.174 465.637 402.748 349.553 292.870 1760.545 1541.760 1317.829 498.986 409.435 303.458 276.795 242.918 200.991 1165.041 1048.470 945.207 455.943 405.087 356.272 319.386 213.897 191.706 169.859 145.375 945.207 841.796

L=3m 7025.463 6348.107 5669.273 5046.543 4619.469 4190.203 3543.323 3145.225 2822.770 2486.507 6156.307 5489.973 4825.159 3651.685 3095.143 2649.197 2458.143 2217.195 1934.766 4825.893 4432.324 4046.667 3250.605 2936.444 2649.880 2414.411 2094.993 1913.919 1725.455 1531.564 4046.667 3697.963

L=5m 6050.638 5452.022 4852.362 4167.277 3804.665 3440.217 2579.572 2270.655 2013.114 1687.377 5237.170 4657.773 4083.397 2692.308 2258.861 1747.634 1594.078 1399.167 1157.428 4012.621 3676.145 3349.890 2416.017 2170.036 1943.142 1762.057 1232.269 1104.068 978.351 837.255 3349.890 3047.445

L=7m 5071.858 4559.019 4033.050 3282.872 2991.404 2689.802 1368.381 1183.370 1027.412 860.574 4317.308 3828.671 3334.903 1466.559 1203.095 891.822 813.346 713.809 590.665 3202.014 2917.644 2651.427 1339.709 1190.379 1046.980 938.491 628.556 563.342 499.211 427.214 2651.427 2398.047

BJ 50 L=9m 3977.720 3516.624 3037.585 2058.770 1860.134 1652.023 827.762 715.922 621.447 520.686 3130.738 2740.614 2342.889 886.940 727.826 539.540 492.097 431.877 357.351 2070.881 1864.232 1680.665 810.566 720.099 633.389 567.751 380.284 340.779 301.989 258.475 1680.665 1496.416

L=12m 2238.201 1978.417 1708.247 1157.895 1046.354 929.288 465.657 402.729 349.564 292.882 1760.784 1541.760 1317.829 498.972 409.426 303.462 276.808 242.900 201.001 1165.185 1048.447 945.237 455.922 405.105 356.308 319.379 213.890 191.690 169.859 145.386 945.237 841.946

L=3m 8023.245 7243.415 6469.231 5737.011 5247.140 4759.810 3980.523 3531.398 3165.431 2785.555 7019.407 6259.946 5497.324 4107.393 3476.870 2964.207 2746.921 2476.688 2156.410 5490.193 5038.307 4600.087 3661.364 3302.652 2978.621 2712.182 2335.598 2128.160 1919.177 1699.794 4600.087 4203.993

L=5m 6801.777 6129.900 5444.402 4633.895 4231.447 3821.721 2682.594 2320.000 2013.085 1687.035 5869.722 5221.300 4568.199 2874.336 2357.908 1748.205 1594.383 1399.138 1157.782 4475.232 4092.062 3729.449 2615.845 2332.782 2052.248 1839.320 1231.993 1104.007 978.524 837.396 3729.449 3389.083

L=7m 5581.167 5009.422 4423.577 3403.763 3075.657 2731.358 1368.363 1183.386 1027.235 860.742 4717.754 4180.790 3637.839 1466.111 1203.336 891.812 813.417 713.846 590.751 3423.782 3081.468 2777.594 1339.613 1190.580 1047.080 938.679 628.610 563.421 499.134 427.276 2777.594 2474.074

L=9m 3978.079 3517.089 3037.069 2058.706 1860.276 1651.924 827.809 715.988 621.452 520.668 3129.735 2740.991 2343.156 887.059 727.926 539.490 492.110 431.833 357.344 2070.950 1864.052 1680.477 810.566 720.221 633.379 567.829 380.262 340.793 301.972 258.450 1680.477 1496.485

L=12m 2238.144 1978.908 1708.635 1157.966 1046.255 929.272 465.619 402.753 349.562 292.866 1760.586 1542.185 1317.829 498.984 409.443 303.476 276.797 242.906 201.002 1165.120 1048.608 945.339 455.906 405.071 356.303 319.392 213.899 191.698 169.857 145.383 945.339 841.895

*2 Nn = A . fy / ω

b 10



Section



Index

BJ 55

24" WF 24 x 14 24" WF 24 x 12


18" WF 18 x 8-3/4

18" WF 18 x 7-1/2 16" WF 16 x 11-1/2

L=3m 10848.736 9795.830 8735.091 7671.076 7011.302 6350.653 5144.476 4554.286 4068.982 3564.016 9456.678 8434.586 7402.294 5326.196 4499.294 3780.626 3498.811 3145.205 2719.441 7356.183 6746.364 6155.070 4755.292 4284.896 3858.481 3509.739 2938.161 2672.801 2403.274 2118.209 6155.070 5612.295

L=5m 8800.212 7912.281 7018.403 5816.636 5304.089 4776.626 2682.679 2319.574 2013.203 1687.081 7529.243 6687.136 5839.477 2874.145 2358.021 1747.903 1594.342 1399.086 1157.647 5649.586 5156.728 4689.761 2626.282 2333.723 2052.515 1839.408 1231.894 1104.253 978.535 837.405 4689.761 4250.155

L=7m 6575.165 5815.603 5021.863 3402.533 3075.276 2730.697 1368.329 1183.681 1027.358 860.700 5173.489 4530.688 3872.222 1466.372 1203.208 891.794 813.390 713.914 590.706 3424.124 3081.869 2778.084 1339.777 1190.355 1047.010 938.580 628.602 563.379 499.153 427.261 2778.084 2474.074

*2 Nn = A . fy / ω

kc = 0.8 ( jepit - sendi ) L=9m 3978.737 3517.941 3037.265 2058.589 1860.033 1652.180 827.776 716.012 621.460 520.635 3130.117 2741.679 2342.857 887.013 727.901 539.525 492.076 431.850 357.333 2071.075 1864.253 1680.608 810.566 720.120 633.452 567.809 380.261 340.783 301.971 258.454 1680.608 1496.612

L=12m 2238.040 1978.504 1708.622 1158.096 1046.393 929.244 465.624 402.736 349.560 292.857 1760.574 1542.061 1317.829 498.964 409.440 303.481 276.797 242.902 200.993 1165.001 1048.568 945.226 455.917 405.075 356.294 319.390 213.893 191.700 169.862 145.384 945.226 841.801

L=3m 728742.06 649874.35 571485.07 518604.30 472611.19 426493.24 382501.56 337053.44 299013.40 259111.42 485838.22 430284.68 373926.29 297497.91 250239.28 228470.58 210804.20 189248.48 162928.32 290171.35 264258.34 238756.34 204155.63 183483.78 164388.64 149274.80 140340.88 126841.91 114212.24 100596.90 193304.76 174266.77

L=5m L=7m L=9m 262347.14 133850.58 80971.34 233954.77 119364.68 72208.26 205734.62 104966.64 63498.34 186697.55 95253.85 57622.70 170140.03 86806.14 52512.35 153537.57 78335.49 47388.14 137700.56 70255.39 42500.17 121339.24 61907.77 37450.38 107644.82 54920.83 33223.71 93280.11 47591.89 28790.16 174901.76 89235.59 53982.02 154902.48 79031.88 47809.41 134613.47 68680.34 41547.37 107099.25 54642.47 33055.32 90086.14 45962.32 27804.36 82249.41 41963.98 25385.62 75889.51 38719.14 23422.69 68129.45 34759.93 21027.61 58654.20 29925.61 18103.15 104461.69 53296.78 32241.26 95133.00 48537.25 29362.04 85952.28 43853.20 26528.48 73496.03 37497.97 22683.96 66054.16 33701.10 20387.09 59179.91 30193.83 18265.40 53738.93 27417.82 16586.09 50522.72 25776.90 15593.43 45663.09 23297.49 14093.55 41116.41 20977.76 12690.25 36214.88 18476.98 11177.43 69589.71 35504.96 21478.31 62736.04 32008.18 19362.97

kc = 0.65 ( jepit - jepit ) L=12m L=3m L=5m L=7m L=9m L=12m 45546.38 1103893.30 397401.59 202755.91 122654.81 68993.33 40617.15 984425.05 354393.02 180812.76 109380.56 61526.57 35717.82 865681.52 311645.35 159002.73 96186.84 54105.09 32412.77 785578.11 282808.12 144289.86 87286.46 49098.63 29538.20 715908.07 257726.91 131493.32 79545.34 44744.25 26655.83 646048.93 232577.62 118662.05 71783.21 40378.06 23906.35 579410.65 208587.83 106422.36 64378.96 36213.17 21065.84 510566.15 183803.81 93777.46 56729.57 31910.38 18688.34 452943.37 163059.61 83193.68 50327.04 28308.96 16194.46 392500.13 141300.05 72091.86 43611.13 24531.26 30364.89 735944.28 264939.94 135173.44 81771.59 45996.52 26892.79 651792.17 234645.18 119716.93 72421.35 40737.01 23370.39 566420.89 203911.52 104036.49 62935.65 35401.31 18593.62 450647.72 162233.18 82772.03 50071.97 28165.48 15639.95 379060.68 136461.84 69623.39 42117.85 23691.29 14279.41 346085.61 124590.82 63566.74 38453.96 21630.35 13175.26 319324.71 114956.90 58651.48 35480.52 19957.79 11828.03 286672.26 103202.01 52654.09 31852.47 17917.02 10183.02 246802.67 88848.96 45331.10 27422.52 15425.17 18135.71 439549.51 158237.82 80733.58 48838.83 27471.84 16516.15 400296.66 144106.80 73523.88 44477.41 25018.54 14922.27 361666.40 130199.90 66428.52 40185.16 22604.15 12759.73 309253.50 111331.26 56801.66 34361.50 19328.34 11467.74 277939.92 100058.37 51050.19 30882.21 17371.25 10274.29 249014.75 89645.31 45737.40 27668.31 15563.42 9329.67 226120.40 81403.34 41532.32 25124.49 14132.53 8771.30 212587.36 76531.45 39046.66 23620.82 13286.71 7927.62 192139.23 69170.12 35290.88 21348.80 12008.70 7138.26 173007.89 62282.84 31776.96 19223.10 10812.99 6287.31 152383.47 54858.05 27988.80 16931.50 9523.97 12081.55 292816.67 105414.00 53782.65 32535.19 18301.04 10891.67 263978.07 95032.11 48485.77 29330.90 16498.63

*3 Ncrb = π2. E . A/( Kc.L / rx )2

b 11

Øb = 0.9 Beban Kritis Elastis Section Index


4


L=3m 466394.92 24" WF 24 x 14 415919.58 365750.44 331906.75 24" WF 302471.16 24 x 12 272955.67 244801.00 24" WF 215714.20 191368.57 24 x 9 165831.31 21" WF 310936.46 275382.19 21 x 13 239312.83 21" WF 190398.66 21 x 9 160153.14 146221.17 134914.69 21" WF 21 x 8-1/4 121119.03 104274.13 18" WF 185709.67 18 x 11-3/4 169125.34 152804.05 130659.60 18" WF 117429.62 18 x 8-3/4 105208.73 95535.87 89818.16 18" WF 81178.82 18 x 7-1/2 73095.83 64382.01 16" WF 123715.04 16 x 11-1/2 111530.74

L=5m 167902.17 149731.05 131670.16 119486.43 108889.62 98264.04 88128.36 77657.11 68892.69 59699.27 111937.13 99137.59 86152.62 68543.52 57655.13 52639.62 48569.29 43602.85 37538.69 66855.48 60885.12 55009.46 47037.46 42274.66 37875.14 34392.91 32334.54 29224.38 26314.50 23177.53 44537.42 40151.06

L=7m 85664.37 76393.39 67178.65 60962.46 55555.93 50134.72 44963.45 39620.98 35149.33 30458.81 57110.78 50580.40 43955.42 34971.18 29415.88 26856.95 24780.25 22246.35 19152.39 34109.94 31063.84 28066.05 23998.70 21568.71 19324.05 17547.40 16497.21 14910.40 13425.77 11825.27 22723.17 20485.24

*3 Ncrb = π2. E . A/( Kc.L / rx )2

L=9m 51821.66 46213.29 40638.94 36878.53 33607.91 30328.41 27200.11 23968.24 21263.17 18425.70 34548.50 30598.02 26590.31 21155.41 17794.79 16246.80 14990.52 13457.67 11586.01 20634.41 18791.70 16978.23 14517.73 13047.74 11689.86 10615.10 9979.80 9019.87 8121.76 7153.56 13746.12 12392.30

Mengalami Tegangan Leleh Ny ( KN ) * L=12m 29149.68 25994.97 22859.40 20744.17 18904.45 17059.73 15300.06 13482.14 11960.54 10364.46 19433.53 17211.39 14957.05 11899.92 10009.57 9138.82 8432.17 7569.94 6517.13 11606.85 10570.33 9550.25 8166.23 7339.35 6575.55 5970.99 5613.64 5073.68 4568.49 4023.88 7732.19 6970.67

Parameter

Konstanta

Konstanta

Øb Ny ( KN )

Puntir

Puntir

Torsi (J)

Lengkung (Iw)

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

6373.50 5775.00 5176.50 4781.70 4384.80 3987.90 3744.30 3347.40 3030.30 2709.00 5657.40 5058.90 4462.50 3822.00 3265.50 2908.50 2713.20 2469.60 2192.40 4540.20 4181.10 3824.10 3383.10 3066.00 2784.60 2547.30 2389.80 2194.50 1992.90 1793.40 3824.10 3507.00

7284.00 6600.00 5916.00 5464.80 5011.20 4557.60 4279.20 3825.60 3463.20 3096.00 6465.60 5781.60 5100.00 4368.00 3732.00 3324.00 3100.80 2822.40 2505.60 5188.80 4778.40 4370.40 3866.40 3504.00 3182.40 2911.20 2731.20 2508.00 2277.60 2049.60 4370.40 4008.00

7587.50 6875.00 6162.50 5692.50 5220.00 4747.50 4457.50 3985.00 3607.50 3225.00 6735.00 6022.50 5312.50 4550.00 3887.50 3462.50 3230.00 2940.00 2610.00 5405.00 4977.50 4552.50 4027.50 3650.00 3315.00 3032.50 2845.00 2612.50 2372.50 2135.00 4552.50 4175.00

8801.50 7975.00 7148.50 6603.30 6055.20 5507.10 5170.70 4622.60 4184.70 3741.00 7812.60 6986.10 6162.50 5278.00 4509.50 4016.50 3746.80 3410.40 3027.60 6269.80 5773.90 5280.90 4671.90 4234.00 3845.40 3517.70 3300.20 3030.50 2752.10 2476.60 5280.90 4843.00

12443.50 11275.00 10106.50 9335.70 8560.80 7785.90 7310.30 6535.40 5916.30 5289.00 11045.40 9876.90 8712.50 7462.00 6375.50 5678.50 5297.20 4821.60 4280.40 8864.20 8163.10 7466.10 6605.10 5986.00 5436.60 4973.30 4665.80 4284.50 3890.90 3501.40 7466.10 6847.00

5736.15 5197.50 4658.85 4303.53 3946.32 3589.11 3369.87 3012.66 2727.27 2438.10 5091.66 4553.01 4016.25 3439.80 2938.95 2617.65 2441.88 2222.64 1973.16 4086.18 3762.99 3441.69 3044.79 2759.40 2506.14 2292.57 2150.82 1975.05 1793.61 1614.06 3441.69 3156.30

6555.60 5940.00 5324.40 4918.32 4510.08 4101.84 3851.28 3443.04 3116.88 2786.40 5819.04 5203.44 4590.00 3931.20 3358.80 2991.60 2790.72 2540.16 2255.04 4669.92 4300.56 3933.36 3479.76 3153.60 2864.16 2620.08 2458.08 2257.20 2049.84 1844.64 3933.36 3607.20

6828.75 6187.50 5546.25 5123.25 4698.00 4272.75 4011.75 3586.50 3246.75 2902.50 6061.50 5420.25 4781.25 4095.00 3498.75 3116.25 2907.00 2646.00 2349.00 4864.50 4479.75 4097.25 3624.75 3285.00 2983.50 2729.25 2560.50 2351.25 2135.25 1921.50 4097.25 3757.50

7921.35 7177.50 6433.65 5942.97 5449.68 4956.39 4653.63 4160.34 3766.23 3366.90 7031.34 6287.49 5546.25 4750.20 4058.55 3614.85 3372.12 3069.36 2724.84 5642.82 5196.51 4752.81 4204.71 3810.60 3460.86 3165.93 2970.18 2727.45 2476.89 2228.94 4752.81 4358.70

BJ 55

4

mm 11199.15 5719073.72 10147.50 4139798.43 9095.85 2835224.27 8402.13 2697036.33 7704.72 2090304.86 7007.31 1552193.03 6579.27 1666317.55 5881.86 1151269.51 5324.67 789745.67 4760.10 490757.44 9940.86 4789147.07 8889.21 3466639.98 7841.25 2332989.86 6715.80 2054127.60 5737.95 1250986.27 5110.65 934683.86 4767.48 737523.36 4339.44 531004.40 3852.36 324852.04 7977.78 3199815.10 7346.79 2478107.03 6719.49 1868915.67 5944.59 1850319.91 5387.40 1376802.00 4892.94 1028008.79 4475.97 778835.01 4199.22 703791.63 3856.05 521557.33 3501.81 386587.49 3151.26 257627.48 6719.49 2145827.22 6162.30 1602140.32

mm6x(1011) 128.57 111.41 94.10 61.96 55.77 49.07 22.99 19.55 16.49 13.23 75.70 65.83 55.41 18.93 15.24 11.44 10.34 8.92 7.12 37.43 33.44 29.58 13.48 11.94 10.45 9.28 6.14 5.37 4.71 3.94 24.23 21.18

*4 Ny = A . fy

b 12


Weight

Index

Section d

kg/m 116.10 16" WF 105.70 16 x 8-1/2 95.24 86.31 74.41 16" WF 66.97 16 x 7 59.53 53.57 634.00 592.30 550.60 509.00 476.20 467.30 427.10 392.90 366.10 14" WF 352.70 14 x 16 339.30 325.90 314.00 300.60 287.20 273.80 261.90 248.50 235.10 223.20 211.30 202.40 189.00 177.10 14" WF 14 x 14-1/2 165.20 153.30 141.40 129.50

mm 415 410 406 403 413 409 406 403 475 465 456 446 427 437 427 419 413 409 406 403 400 397 394 391 387 384 381 378 375 375 371 368 365 362 359 356

K = Kompak

Web

Flange


B mm 218 217 216 215 180 179 178 178 424 421 418 416 424 412 410 407 405 404 403 402 401 400 399 398 397 396 395 394 394 374 373 372 371 370 369 368

mm 13.44 12.34 11.25 10.34 9.65 8.79 7.80 7.59 47.63 44.96 42.04 39.24 48.01 35.94 33.27 30.61 28.58 27.69 26.54 25.53 24.89 23.62 22.61 21.34 20.83 19.81 18.54 17.65 17.27 16.76 15.49 14.48 13.72 12.57 11.81 10.67

t2 mm 22.23 20.19 18.16 16.38 15.95 14.30 12.78 10.87 77.04 72.21 67.51 62.69 53.16 57.99 53.16 49.23 46.05 44.40 42.88 41.22 39.70 38.18 36.53 35.00 33.35 31.70 30.18 28.65 27.00 27.00 25.35 23.83 22.17 20.65 19.00 17.48

NK = Non Kompak


Area

r

A

mm 15.2 15.2 15.2 15.2 10.9 10.9 10.9 10.9 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2 15.2

Momen

Radius

Modulus

Centre

Modulus

Inersia

of Gyration

of Section


of Plastis

Ix 2

cm 147.9 134.6 121.3 109.9 94.8 85.4 75.9 68.3 808.1 754.7 701.8 649.0 607.2 595.5 544.3 500.8 466.6 449.6 432.6 415.2 400.5 383.2 366.0 348.8 333.7 316.7 299.8 284.4 270.0 257.9 240.8 225.7 210.6 195.2 180.3 164.9

Iy 4

cm 43400 39000 34710 31700 27280 24280 21460 18580 275200 250300 227000 204400 172400 183100 162800 146800 134400 128200 122500 116500 111200 105700 100000 94700 89480 84120 79120 74380 69610 66310 61470 57160 52720 48530 44270 40250

rx 4

cm 3642 3243 2847 2518 1449 1270 1103 920 98220 90320 82670 75220 68070 67910 61050 55420 51060 48900 46820 44680 42820 40780 38720 36740 34880 32890 31010 29240 27480 23630 21960 20470 18940 17470 15970 14560

mm 171.2 170.1 169.2 168.1 169.7 168.6 168.1 164.8 184.4 182.1 179.8 177.5 168.4 175.3 173.0 171.2 169.7 168.9 168.1 167.4 166.6 166.1 165.4 164.8 163.8 163.1 162.6 161.8 160.5 160.3 159.8 159.0 158.2 157.7 156.7 156.2

ry

Sx

Sy 3

cm mm 49.5 2094.6 49.0 1899.6 48.5 1707.8 47.8 1542.3 39.1 1322.7 38.6 1186.6 38.1 1055.5 36.8 922.8 110.2 11594.3 109.5 10766.6 108.4 9966.8 107.7 9168.6 105.9 8077.0 106.7 8390.0 105.9 7629.5 105.2 7005.1 104.6 6513.4 104.4 6264.2 104.1 6028.2 103.6 5779.1 103.4 5559.5 103.1 5325.1 102.9 5080.9 102.6 4848.2 102.1 4620.3 161.8 4381.0 101.6 4153.2 101.3 3936.9 100.8 3715.6 95.8 3540.2 95.5 3310.7 95.2 3104.3 94.7 2889.6 94.5 2681.4 94.2 2468.3 94.0 2263.4

Cx 3

cm 334.4 298.3 263.9 234.4 160.6 142.6 124.6 103.2 4633.4 4287.6 3951.6 3618.9 3207.5 3294.4 2979.7 2772.4 2522.4 2420.8 2324.1 2222.5 2134.0 2038.9 1940.6 1847.2 1755.4 1660.3 1570.2 1484.9 1396.4 1262.0 1176.8 1099.8 1019.4 944.1 865.4 790.0

mm 46.05 44.87 43.88 43.24 47.97 47.18 46.04 48.02 61.08 58.43 55.80 53.05 53.77 50.28 47.60 45.25 43.43 42.49 41.50 40.58 39.91 38.82 37.91 36.80 36.15 35.23 34.10 33.26 32.86 33.20 31.92 30.96 30.29 29.16 28.53 27.38

Cy mm 36.78 36.34 35.82 35.25 28.15 27.69 27.42 25.97 88.01 87.07 86.19 85.50 81.89 84.50 83.75 82.99 82.40 82.07 81.87 81.55 81.08 80.96 80.64 80.54 79.93 79.59 79.52 79.17 78.54 74.23 74.15 73.90 73.30 73.20 72.54 72.44

Zx


3

mm 2387845.50 2155349.80 1930125.60 1739277.40 1502864.40 1343512.80 1191326.40 1048268.40 14256500.20 13137062.90 12084996.00 11029755.00 9698805.60 10017501.00 9029937.00 8225640.00 7608846.20 7283969.60 6986490.00 6681398.40 6411604.50 6118937.60 5822694.00 5535456.00 5250769.50 4964905.90 4688872.00 4429245.60 4175280.00 3979397.00 3698206.40 3454112.80 3205542.60 2963916.80 2721989.10 2483723.80

mm3 543976.20 489136.40 434496.60 387397.50 266862.00 236472.60 208117.80 177375.10 7112088.10 6571172.90 6048814.20 5548950.00 4972360.80 5031975.00 4558512.50 4156139.20 3844784.00 3689867.20 3541696.20 3385956.00 3247254.00 3102387.20 2951424.00 2809235.20 2667264.10 2520615.30 2384009.60 2251594.80 2120580.00 1914391.70 1785532.00 1667923.00 1543698.00 1428864.00 1307896.20 1194535.60

BJ 34 BJ 37 BJ 41 BJ 50 BJ 55 K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K

K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K

K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K

K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K NK

K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K K NK NK NK

S = Slender

c1

Section Index

16" WF 16 x 8-1/2

16" WF 16 x 7

14" WF 14 x 16

14" WF 14 x 14-1/2







BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm 2688.582 2661.424 2634.267 2596.246 2123.708 2096.550 2069.393 1998.784 5985.489 5947.468 5887.722 5849.702 5751.935 5795.387 5751.935 5713.915 5681.326 5670.463 5654.169 5627.011 5616.148 5599.854 5588.991 5572.696 5545.539 8788.131 5518.382 5502.087 5474.930 5203.356 5187.061 5170.767 5143.610 5132.747 5116.452 5105.589

mm 2514.938 2489.534 2464.131 2428.566 1986.547 1961.143 1935.740 1869.691 5598.912 5563.347 5507.460 5471.895 5380.443 5421.088 5380.443 5344.878 5314.394 5304.232 5288.990 5263.587 5253.426 5238.184 5228.022 5212.780 5187.377 8220.544 5161.973 5146.731 5121.328 4867.294 4852.052 4836.810 4811.406 4801.245 4786.003 4775.841

mm 2464.126 2439.236 2414.345 2379.499 1946.410 1921.520 1896.630 1831.916 5485.791 5450.945 5396.186 5361.340 5271.736 5311.560 5271.736 5236.889 5207.021 5197.065 5182.131 5157.241 5147.285 5132.351 5122.395 5107.461 5082.570 8054.455 5057.680 5042.746 5017.856 4768.954 4754.020 4739.086 4714.196 4704.240 4689.306 4679.350

mm 2287.883 2264.773 2241.663 2209.310 1807.197 1784.087 1760.977 1700.891 5093.429 5061.075 5010.233 4977.879 4894.684 4931.660 4894.684 4862.330 4834.598 4825.354 4811.488 4788.378 4779.134 4765.268 4756.024 4742.158 4719.048 7478.374 4695.938 4682.072 4658.962 4427.863 4413.997 4400.131 4377.021 4367.777 4353.911 4344.667

mm 1924.159 1904.723 1885.287 1858.077 1519.891 1500.455 1481.019 1430.486 4283.683 4256.473 4213.714 4186.503 4116.534 4147.631 4116.534 4089.324 4066.000 4058.226 4046.564 4027.129 4019.354 4007.693 3999.918 3988.257 3968.821 6289.473 3949.385 3937.723 3918.287 3723.928 3712.266 3700.605 3681.169 3673.394 3661.733 3653.958

mm 10920.399 10028.984 9196.981 8480.894 6755.814 6298.339 5915.073 5418.585 87222.699 81565.187 75774.432 70268.441 59843.858 64538.381 58986.653 54380.963 50684.559 48839.527 47072.636 45087.257 43394.919 41649.945 39833.800 38099.110 36196.556 54639.587 32734.612 31057.401 29290.498 27821.921 26155.338 24642.057 22986.956 21583.830 20102.290 18793.048

mm 9192.720 8493.317 7846.964 7291.769 5831.299 5478.571 5182.607 4790.511 71843.493 67186.627 62420.561 57889.870 49315.896 53175.863 48610.432 44824.861 41788.578 40273.866 38823.848 37195.173 35808.289 34378.919 32893.148 31475.048 29920.991 45200.582 27102.923 25742.081 24312.525 23094.029 21750.453 20536.652 19215.783 18105.855 16943.574 15925.301

mm 8748.368 8098.192 7498.943 6984.139 5591.553 5264.739 4990.235 4623.854 67856.818 63459.469 58959.174 54681.483 46587.727 50231.090 45921.621 42348.955 39484.108 38055.210 36687.530 35151.561 33844.110 32496.827 31097.042 29761.359 28298.045 42760.607 25647.833 24369.514 23027.964 21874.012 20614.678 19478.932 18245.003 17211.108 16131.168 15187.360

mm 7385.293 6884.507 6426.676 6032.018 4847.469 4596.854 4385.206 4094.526 55536.517 51941.680 48263.309 44768.206 38160.481 41133.386 37616.098 34702.621 32368.825 31205.852 30093.391 28844.845 27783.829 26691.267 25558.483 24478.777 23297.341 35246.311 21169.083 20147.398 19079.429 18123.916 17126.187 16232.420 15267.132 14467.059 13638.596 12920.213

mm 5249.535 4969.471 4715.648 4491.696 3634.466 3490.273 3366.182 3183.273 35982.226 33664.201 31293.966 29045.312 24807.926 26710.394 24457.271 22597.154 21113.273 20376.397 19673.146 18885.703 18220.787 17537.726 16834.899 16167.332 15439.470 23455.847 14151.613 13541.870 12911.226 12265.812 11683.482 11170.529 10622.658 10179.854 9728.030 9339.941

KNm 501.448 452.623 405.326 365.248 315.602 282.138 250.179 220.136 2993.865 2758.783 2537.849 2316.249 2036.749 2103.675 1896.287 1727.384 1597.858 1529.634 1467.163 1403.094 1346.437 1284.977 1222.766 1162.446 1102.662 1042.630 984.663 930.142 876.809 835.673 776.623 725.364 673.164 622.423 571.618 521.582

KNm 573.083 517.284 463.230 417.427 360.687 322.443 285.918 251.584 3421.560 3152.895 2900.399 2647.141 2327.713 2404.200 2167.185 1974.154 1826.123 1748.153 1676.758 1603.536 1538.785 1468.545 1397.447 1328.509 1260.185 1191.577 1125.329 1063.019 1002.067 955.055 887.570 828.987 769.330 711.340 653.277 596.094

KNm 596.961 538.837 482.531 434.819 375.716 335.878 297.832 262.067 3564.125 3284.266 3021.249 2757.439 2424.701 2504.375 2257.484 2056.410 1902.212 1820.992 1746.623 1670.350 1602.901 1529.734 1455.674 1383.864 1312.692 1241.226 1172.218 1107.311 1043.820 994.849 924.552 863.528 801.386 740.979 680.497 620.931

KNm 692.475 625.051 559.736 504.390 435.831 389.619 345.485 303.998 4134.385 3809.748 3504.649 3198.629 2812.654 2905.075 2618.682 2385.436 2206.565 2112.351 2026.082 1937.606 1859.365 1774.492 1688.581 1605.282 1522.723 1439.823 1359.773 1284.481 1210.831 1154.025 1072.480 1001.693 929.607 859.536 789.377 717.959

KNm 979.017 883.693 791.351 713.104 616.174 550.840 488.444 429.790 5845.165 5386.196 4954.848 4522.200 3976.510 4107.175 3702.274 3372.512 3119.627 2986.428 2864.461 2739.373 2628.758 2508.764 2387.305 2269.537 2152.815 2035.611 1922.438 1815.991 1711.865 1631.553 1516.265 1416.186 1314.272 1209.617 1104.297 1001.835

(*1) Lp = 1,76.ry.√(E/fy)

(*2) Lr = ry (x1/fL) √ (1+(√(1+x2.fL2))

(*3) Mn = Mp


Mn = Mr ( λr/λ )2

c2

Cb = 1,14 ( Beban Terbagi Merata ) Section Index

16" WF 16 x 8-1/2

16" WF 16 x 7

14" WF 14 x 16

14" WF 14 x 14-1/2



pada Sumbu y Mny (KNm) (*4)

Mn (KNm) (*5)

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

KNm 114.235 102.719 91.244 81.353 56.041 49.659 43.705 37.249 1493.539 1379.946 1270.251 1165.280 1044.196 1056.715 957.288 872.789 807.405 774.872 743.756 711.051 681.923 651.501 619.799 589.939 560.125 529.329 500.642 472.835 445.322 402.022 374.962 350.264 324.177 300.061 274.658 250.852

KNm 130.554 117.393 104.279 92.975 64.047 56.753 49.948 42.570 1706.901 1577.081 1451.715 1331.748 1193.367 1207.674 1094.043 997.473 922.748 885.568 850.007 812.629 779.341 744.573 708.342 674.216 640.143 604.948 572.162 540.383 508.939 459.454 428.528 400.302 370.488 342.927 313.895 286.689

KNm 135.994 122.284 108.624 96.849 66.716 59.118 52.029 44.344 1778.022 1642.793 1512.204 1387.238 1243.090 1257.994 1139.628 1039.035 961.196 922.467 885.424 846.489 811.814 775.597 737.856 702.309 666.816 630.154 596.002 562.899 530.145 478.598 446.383 416.981 385.925 357.216 326.974 298.634

KNm 157.753 141.850 126.004 112.345 77.390 68.577 60.354 51.439 2062.506 1905.640 1754.156 1609.196 1441.985 1459.273 1321.969 1205.280 1114.987 1070.061 1027.092 981.927 941.704 899.692 855.913 814.678 773.507 730.978 691.363 652.962 614.968 555.174 517.804 483.698 447.672 414.371 379.290 342.153

KNm 223.030 200.546 178.144 158.833 109.413 96.954 85.328 72.724 2915.956 2694.181 2480.014 2275.070 2038.668 2063.110 1868.990 1704.017 1576.361 1512.846 1452.095 1388.242 1331.374 1271.979 1210.084 1151.786 1093.578 1033.452 977.444 923.154 869.438 784.901 732.068 683.848 632.916 576.244 515.798 459.479

(*4) Mn = Mp


BJ 34 L=3m 501.448 452.623 405.326 365.248 315.602 282.138 250.179 220.136 2993.865 2758.783 2537.849 2316.249 2036.749 2103.675 1896.287 1727.384 1597.858 1529.634 1467.163 1403.094 1346.437 1284.977 1222.766 1162.446 1102.662 1042.630 984.663 930.142 876.809 835.673 776.623 725.364 673.164 622.423 571.618 521.582

L=5m 501.448 448.440 393.758 346.847 267.462 230.248 196.237 159.969 2993.865 2758.783 2537.849 2316.249 2036.749 2103.675 1896.287 1727.384 1597.858 1529.634 1467.163 1403.094 1346.437 1284.977 1222.766 1162.446 1102.662 1042.630 984.663 930.142 876.809 835.673 776.623 725.364 673.164 622.423 571.618 521.582

Mn = Mr ( λr/λ )2

L=7m 447.337 390.669 336.006 288.991 201.690 164.256 133.282 100.387 2993.865 2758.783 2537.849 2316.249 2036.749 2103.675 1896.287 1727.384 1597.858 1529.634 1467.163 1403.094 1346.437 1284.977 1222.766 1162.446 1102.662 1042.630 984.663 930.142 876.809 835.673 776.623 725.364 673.164 622.423 571.618 521.582

BJ 37 L=9m 389.670 332.899 278.253 229.005 148.151 119.621 96.101 71.354 2993.865 2758.783 2537.849 2316.249 2036.749 2103.675 1896.287 1727.384 1597.858 1529.634 1467.163 1403.094 1346.437 1284.977 1222.766 1162.446 1102.662 1042.630 984.663 930.142 876.809 835.673 776.623 725.364 673.164 622.423 571.618 521.582

(*5) Mn = Mp

L=12m 302.178 248.222 200.008 162.737 106.508 85.386 68.012 49.852 2993.865 2758.783 2537.849 2316.249 2036.749 2103.675 1896.287 1727.384 1597.858 1529.634 1467.163 1403.094 1346.437 1284.977 1222.766 1162.446 1102.662 1042.630 984.663 930.142 876.809 835.673 769.367 710.658 649.738 592.008 533.271 477.057

L=3m 573.083 517.284 463.230 417.427 360.687 322.443 285.918 245.025 3421.560 3152.895 2900.399 2647.141 2327.713 2404.200 2167.185 1974.154 1826.123 1748.153 1676.758 1603.536 1538.785 1468.545 1397.447 1328.509 1260.185 1191.577 1125.329 1063.019 1002.067 955.055 887.570 828.987 769.330 711.340 653.277 596.094

L=5m 561.254 497.058 435.223 382.294 289.819 248.688 211.383 166.325 3421.560 3152.895 2900.399 2647.141 2327.713 2404.200 2167.185 1974.154 1826.123 1748.153 1676.758 1603.536 1538.785 1468.545 1397.447 1328.509 1260.185 1191.577 1125.329 1063.019 1002.067 955.055 887.570 828.987 769.330 711.340 653.277 596.094

L=7m 487.164 423.251 361.986 309.515 201.690 164.256 133.282 100.387 3421.560 3152.895 2900.399 2647.141 2327.713 2404.200 2167.185 1974.154 1826.123 1748.153 1676.758 1603.536 1538.785 1468.545 1397.447 1328.509 1260.185 1191.577 1125.329 1063.019 1002.067 955.055 887.570 828.987 769.330 711.340 653.277 596.094

Mn = Cb [Mr+ ((Mp - Mr )( Lr - L)/( Lr - Lp ))] ≤ Mp "Bold" = ( Bentang Menengah ) "Italic " = ( Bentang Panjang )

L=9m 413.073 344.445 279.368 229.005 148.151 119.621 96.101 71.354 3421.560 3152.895 2900.399 2647.141 2327.713 2404.200 2167.185 1974.154 1826.123 1748.153 1676.758 1603.536 1538.785 1468.545 1397.447 1328.509 1260.185 1191.577 1125.329 1063.019 1002.067 955.055 887.570 828.987 769.330 711.340 652.405 588.278

L=12m 302.178 248.222 200.008 162.737 106.508 85.386 68.012 49.852 3421.560 3152.895 2900.399 2647.141 2327.713 2404.200 2167.185 1974.154 1826.123 1748.153 1676.758 1603.536 1538.785 1468.545 1397.447 1328.509 1260.185 1191.577 1125.329 1062.476 991.002 931.184 855.230 788.351 718.820 653.328 586.673 523.459

Mn = Mcr ≤ Mp

c3


Section Index

16" WF 16 x 8-1/2

16" WF 16 x 7

14" WF 14 x 16

14" WF 14 x 14-1/2

BJ 41 L=3m 596.961 538.837 482.531 434.819 375.716 335.878 295.680 252.987 3564.125 3284.266 3021.249 2757.439 2424.701 2504.375 2257.484 2056.410 1902.212 1820.992 1746.623 1670.350 1602.901 1529.734 1455.674 1383.864 1312.692 1241.226 1172.218 1107.311 1043.820 994.849 924.552 863.528 801.386 740.979 680.497 620.931

L=5m 579.362 512.696 448.561 393.703 296.880 254.530 216.129 166.325 3564.125 3284.266 3021.249 2757.439 2424.701 2504.375 2257.484 2056.410 1902.212 1820.992 1746.623 1670.350 1602.901 1529.734 1455.674 1383.864 1312.692 1241.226 1172.218 1107.311 1043.820 994.849 924.552 863.528 801.386 740.979 680.497 620.931

(*5) Mn = Mp

L=7m 499.567 433.360 370.031 316.106 201.690 164.256 133.282 100.387 3564.125 3284.266 3021.249 2757.439 2424.701 2504.375 2257.484 2056.410 1902.212 1820.992 1746.623 1670.350 1602.901 1529.734 1455.674 1383.864 1312.692 1241.226 1172.218 1107.311 1043.820 994.849 924.552 863.528 801.386 740.979 680.497 620.931

BJ 50 L=9m 417.141 344.445 279.368 229.005 148.151 119.621 96.101 71.354 3564.125 3284.266 3021.249 2757.439 2424.701 2504.375 2257.484 2056.410 1902.212 1820.992 1746.623 1670.350 1602.901 1529.734 1455.674 1383.864 1312.692 1241.226 1172.218 1107.311 1043.820 994.849 924.552 863.528 801.386 740.979 674.319 607.776

L=12m 302.178 248.222 200.008 162.737 106.508 85.386 68.012 49.852 3564.125 3284.266 3021.249 2757.439 2424.701 2504.375 2257.484 2056.410 1902.212 1820.992 1746.623 1670.350 1602.901 1529.734 1455.674 1383.864 1312.692 1241.226 1172.218 1098.730 1024.217 961.785 882.837 813.282 740.931 672.927 603.718 538.283

L=3m 692.475 625.051 559.736 504.390 432.067 380.807 332.883 284.078 4134.385 3809.748 3504.649 3198.629 2812.654 2905.075 2618.682 2385.436 2206.565 2112.351 2026.082 1937.606 1859.365 1774.492 1688.581 1605.282 1522.723 1439.823 1359.773 1284.481 1210.831 1154.025 1072.480 1001.693 929.607 859.536 789.377 720.280


L=5m 648.907 572.747 499.832 437.616 317.286 262.149 216.129 166.325 4134.385 3809.748 3504.649 3198.629 2812.654 2905.075 2618.682 2385.436 2206.565 2112.351 2026.082 1937.606 1859.365 1774.492 1688.581 1605.282 1522.723 1439.823 1359.773 1284.481 1210.831 1154.025 1072.480 1001.693 929.607 859.536 789.377 720.280

L=7m 545.288 467.538 382.249 316.106 201.690 164.256 133.282 100.387 4134.385 3809.748 3504.649 3198.629 2812.654 2905.075 2618.682 2385.436 2206.565 2112.351 2026.082 1937.606 1859.365 1774.492 1688.581 1605.282 1522.723 1439.823 1359.773 1284.481 1210.831 1154.025 1072.480 1001.693 929.607 859.536 789.377 720.280

BJ 55 L=9m 417.141 344.445 279.368 229.005 148.151 119.621 96.101 71.354 4134.385 3809.748 3504.649 3198.629 2812.654 2905.075 2618.682 2385.436 2206.565 2112.351 2026.082 1937.606 1859.365 1774.492 1688.581 1605.282 1522.723 1439.823 1359.773 1284.481 1210.831 1154.025 1072.480 1000.667 917.524 838.887 759.356 683.526

L=12m 302.178 248.222 200.008 162.737 106.508 85.386 68.012 49.852 4134.385 3809.748 3504.649 3198.629 2812.654 2905.075 2618.682 2385.436 2206.565 2112.351 2026.082 1937.606 1859.365 1774.492 1688.581 1604.198 1509.722 1439.823 1324.668 1238.632 1152.042 1079.123 988.520 908.537 825.227 747.581 668.613 594.858

L=3m 979.017 883.693 791.351 713.104 569.615 501.328 437.804 371.509 5845.165 5386.196 4954.848 4522.200 3976.510 4107.175 3702.274 3372.512 3119.627 2986.428 2864.461 2739.373 2628.758 2508.764 2387.305 2269.537 2152.815 2035.611 1922.438 1815.991 1711.865 1631.553 1516.265 1416.186 1314.272 1215.206 1116.016 1018.327

L=5m 834.695 731.748 606.483 508.789 317.286 262.149 216.129 166.325 5845.165 5386.196 4954.848 4522.200 3976.510 4107.175 3702.274 3372.512 3119.627 2986.428 2864.461 2739.373 2628.758 2508.764 2387.305 2269.537 2152.815 2035.611 1922.438 1815.991 1711.865 1631.553 1516.265 1416.186 1314.272 1215.206 1116.016 1018.327

L=7m 562.539 467.538 382.249 316.106 201.690 164.256 133.282 100.387 5845.165 5386.196 4954.848 4522.200 3976.510 4107.175 3702.274 3372.512 3119.627 2986.428 2864.461 2739.373 2628.758 2508.764 2387.305 2269.537 2152.815 2035.611 1922.438 1815.991 1711.865 1631.553 1516.265 1416.186 1314.272 1208.420 1098.614 994.003

L=9m 417.141 344.445 279.368 229.005 148.151 119.621 96.101 71.354 5845.165 5386.196 4954.848 4522.200 3976.510 4107.175 3702.274 3372.512 3119.627 2986.428 2864.461 2739.373 2628.758 2508.764 2387.305 2269.537 2152.815 2035.611 1903.559 1783.340 1662.568 1558.677 1433.141 1322.716 1208.432 1102.057 994.582 894.249

L=12m 302.178 248.222 200.008 162.737 106.508 85.386 68.012 49.852 5845.165 5386.196 4954.848 4522.200 3976.510 4107.175 3702.274 3361.895 3076.172 2929.270 2792.677 2649.132 2523.657 2389.798 2252.697 2121.457 1989.743 2035.611 1732.480 1613.323 1491.981 1387.361 1243.208 1103.954 964.593 844.170 725.246 623.975


c4


Section Index

BJ 34

L=3m 627.49 16" WF 574.70 16 x 8-1/2 524.02 482.36 463.38 16" WF 421.31 16 x 7 373.90 364.61 1925.96 1816.07 1700.24 1585.22 1939.88 1453.72 1344.30 1236.28 1155.59 14" WF 1117.16 14 x 16 1070.90 1031.17 1005.45 954.26 914.31 863.12 840.65 800.24 749.03 713.20 698.50 677.87 625.14 584.45 14" WF 14 x 14-1/2 554.33 507.93 477.67 431.61

L=5m 627.49 574.70 524.02 482.36 463.38 421.31 373.90 364.61 1925.96 1816.07 1700.24 1585.22 1939.88 1453.72 1344.30 1236.28 1155.59 1117.16 1070.90 1031.17 1005.45 954.26 914.31 863.12 840.65 800.24 749.03 713.20 698.50 677.87 625.14 584.45 554.33 507.93 477.67 431.61

*1 Vn = 0.6 fy Aw

L=7m 627.49 574.70 524.02 482.36 463.38 421.31 373.90 364.61 1925.96 1816.07 1700.24 1585.22 1939.88 1453.72 1344.30 1236.28 1155.59 1117.16 1070.90 1031.17 1005.45 954.26 914.31 863.12 840.65 800.24 749.03 713.20 698.50 677.87 625.14 584.45 554.33 507.93 477.67 431.61

BJ 37 L=9m 627.49 574.70 524.02 482.36 463.38 421.31 373.90 364.61 1925.96 1816.07 1700.24 1585.22 1939.88 1453.72 1344.30 1236.28 1155.59 1117.16 1070.90 1031.17 1005.45 954.26 914.31 863.12 840.65 800.24 749.03 713.20 698.50 677.87 625.14 584.45 554.33 507.93 477.67 431.61

L=12m 627.49 574.70 524.02 482.36 463.38 421.31 373.90 364.61 1925.96 1816.07 1700.24 1585.22 1939.88 1453.72 1344.30 1236.28 1155.59 1117.16 1070.90 1031.17 1005.45 954.26 914.31 863.12 840.65 800.24 749.03 713.20 698.50 677.87 625.14 584.45 554.33 507.93 477.67 431.61


L=3m 717.13 656.80 598.88 551.27 529.58 481.50 427.31 416.70 2201.10 2075.51 1943.14 1811.68 2217.00 1661.39 1536.34 1412.89 1320.67 1276.75 1223.88 1178.48 1149.08 1090.59 1044.93 986.42 960.75 914.56 856.03 815.09 798.29 774.71 714.45 667.95 633.52 580.49 545.91 493.27

L=5m 717.13 656.80 598.88 551.27 529.58 481.50 427.31 416.70 2201.10 2075.51 1943.14 1811.68 2217.00 1661.39 1536.34 1412.89 1320.67 1276.75 1223.88 1178.48 1149.08 1090.59 1044.93 986.42 960.75 914.56 856.03 815.09 798.29 774.71 714.45 667.95 633.52 580.49 545.91 493.27

L=7m 717.13 656.80 598.88 551.27 529.58 481.50 427.31 416.70 2201.10 2075.51 1943.14 1811.68 2217.00 1661.39 1536.34 1412.89 1320.67 1276.75 1223.88 1178.48 1149.08 1090.59 1044.93 986.42 960.75 914.56 856.03 815.09 798.29 774.71 714.45 667.95 633.52 580.49 545.91 493.27

BJ 41 L=9m 717.13 656.80 598.88 551.27 529.58 481.50 427.31 416.70 2201.10 2075.51 1943.14 1811.68 2217.00 1661.39 1536.34 1412.89 1320.67 1276.75 1223.88 1178.48 1149.08 1090.59 1044.93 986.42 960.75 914.56 856.03 815.09 798.29 774.71 714.45 667.95 633.52 580.49 545.91 493.27

L=12m 717.13 656.80 598.88 551.27 529.58 481.50 427.31 416.70 2201.10 2075.51 1943.14 1811.68 2217.00 1661.39 1536.34 1412.89 1320.67 1276.75 1223.88 1178.48 1149.08 1090.59 1044.93 986.42 960.75 914.56 856.03 815.09 798.29 774.71 714.45 667.95 633.52 580.49 545.91 493.27

L=3m 747.01 684.17 623.84 574.24 551.64 501.56 445.11 434.06 2292.81 2161.99 2024.10 1887.17 2309.38 1730.62 1600.35 1471.76 1375.70 1329.95 1274.88 1227.58 1196.96 1136.03 1088.47 1027.52 1000.78 952.66 891.70 849.05 831.55 806.99 744.22 695.78 659.92 604.68 568.65 513.82

L=5m 747.01 684.17 623.84 574.24 551.64 501.56 445.11 434.06 2292.81 2161.99 2024.10 1887.17 2309.38 1730.62 1600.35 1471.76 1375.70 1329.95 1274.88 1227.58 1196.96 1136.03 1088.47 1027.52 1000.78 952.66 891.70 849.05 831.55 806.99 744.22 695.78 659.92 604.68 568.65 513.82

L=7m 747.01 684.17 623.84 574.24 551.64 501.56 445.11 434.06 2292.81 2161.99 2024.10 1887.17 2309.38 1730.62 1600.35 1471.76 1375.70 1329.95 1274.88 1227.58 1196.96 1136.03 1088.47 1027.52 1000.78 952.66 891.70 849.05 831.55 806.99 744.22 695.78 659.92 604.68 568.65 513.82

BJ 50 L=9m 747.01 684.17 623.84 574.24 551.64 501.56 445.11 434.06 2292.81 2161.99 2024.10 1887.17 2309.38 1730.62 1600.35 1471.76 1375.70 1329.95 1274.88 1227.58 1196.96 1136.03 1088.47 1027.52 1000.78 952.66 891.70 849.05 831.55 806.99 744.22 695.78 659.92 604.68 568.65 513.82

L=12m 747.01 684.17 623.84 574.24 551.64 501.56 445.11 434.06 2292.81 2161.99 2024.10 1887.17 2309.38 1730.62 1600.35 1471.76 1375.70 1329.95 1274.88 1227.58 1196.96 1136.03 1088.47 1027.52 1000.78 952.66 891.70 849.05 831.55 806.99 744.22 695.78 659.92 604.68 568.65 513.82

L=3m 866.53 793.63 723.65 666.12 639.91 581.81 516.33 503.51 2659.66 2507.91 2347.96 2189.12 2678.88 2007.52 1856.41 1707.24 1595.81 1542.74 1478.86 1424.00 1388.47 1317.79 1262.62 1191.92 1160.90 1105.09 1034.37 984.90 964.60 936.11 863.29 807.10 765.51 701.43 659.64 596.04

L=5m 866.53 793.63 723.65 666.12 639.91 581.81 516.33 503.51 2659.66 2507.91 2347.96 2189.12 2678.88 2007.52 1856.41 1707.24 1595.81 1542.74 1478.86 1424.00 1388.47 1317.79 1262.62 1191.92 1160.90 1105.09 1034.37 984.90 964.60 936.11 863.29 807.10 765.51 701.43 659.64 596.04

L=7m 866.53 793.63 723.65 666.12 639.91 581.81 516.33 503.51 2659.66 2507.91 2347.96 2189.12 2678.88 2007.52 1856.41 1707.24 1595.81 1542.74 1478.86 1424.00 1388.47 1317.79 1262.62 1191.92 1160.90 1105.09 1034.37 984.90 964.60 936.11 863.29 807.10 765.51 701.43 659.64 596.04

L=9m 866.53 793.63 723.65 666.12 639.91 581.81 516.33 503.51 2659.66 2507.91 2347.96 2189.12 2678.88 2007.52 1856.41 1707.24 1595.81 1542.74 1478.86 1424.00 1388.47 1317.79 1262.62 1191.92 1160.90 1105.09 1034.37 984.90 964.60 936.11 863.29 807.10 765.51 701.43 659.64 596.04

L=12m 866.53 793.63 723.65 666.12 639.91 581.81 516.33 503.51 2659.66 2507.91 2347.96 2189.12 2678.88 2007.52 1856.41 1707.24 1595.81 1542.74 1478.86 1424.00 1388.47 1317.79 1262.62 1191.92 1160.90 1105.09 1034.37 984.90 964.60 936.11 863.29 807.10 765.51 701.43 659.64 596.04

Vn = (0.9 Aw Kn E)/(h/tw)2

c5

Kuat Geser Nominal


Section

Vn (KN) *1


Index

BJ 55

16" WF 16 x 8-1/2

16" WF 16 x 7

14" WF 14 x 16

14" WF 14 x 14-1/2

L=3m 1225.09 1122.03 1023.09 941.76 904.69 822.55 729.99 711.87 3760.21 3545.67 3319.52 3094.96 3787.38 2838.21 2624.58 2413.69 2256.15 2181.12 2090.80 2013.24 1963.01 1863.09 1785.09 1685.13 1641.27 1562.37 1462.39 1392.45 1363.74 1323.47 1220.52 1141.08 1082.27 991.67 932.59 842.67

L=5m 1225.09 1122.03 1023.09 941.76 904.69 822.55 729.99 711.87 3760.21 3545.67 3319.52 3094.96 3787.38 2838.21 2624.58 2413.69 2256.15 2181.12 2090.80 2013.24 1963.01 1863.09 1785.09 1685.13 1641.27 1562.37 1462.39 1392.45 1363.74 1323.47 1220.52 1141.08 1082.27 991.67 932.59 842.67

*1 Vn = 0.6 fy Aw

L=7m 1225.09 1122.03 1023.09 941.76 904.69 822.55 729.99 711.87 3760.21 3545.67 3319.52 3094.96 3787.38 2838.21 2624.58 2413.69 2256.15 2181.12 2090.80 2013.24 1963.01 1863.09 1785.09 1685.13 1641.27 1562.37 1462.39 1392.45 1363.74 1323.47 1220.52 1141.08 1082.27 991.67 932.59 842.67

BJ 34 L=9m 1225.09 1122.03 1023.09 941.76 904.69 822.55 729.99 711.87 3760.21 3545.67 3319.52 3094.96 3787.38 2838.21 2624.58 2413.69 2256.15 2181.12 2090.80 2013.24 1963.01 1863.09 1785.09 1685.13 1641.27 1562.37 1462.39 1392.45 1363.74 1323.47 1220.52 1141.08 1082.27 991.67 932.59 842.67

L=12m 1225.09 1122.03 1023.09 941.76 904.69 822.55 729.99 711.87 3760.21 3545.67 3319.52 3094.96 3787.38 2838.21 2624.58 2413.69 2256.15 2181.12 2090.80 2013.24 1963.01 1863.09 1785.09 1685.13 1641.27 1562.37 1462.39 1392.45 1363.74 1323.47 1220.52 1141.08 1082.27 991.67 932.59 842.67


L=3m 2748.584 2494.793 2242.342 2022.699 1637.171 1467.594 1297.964 1152.974 16970.100 15848.700 14737.800 13629.000 12751.200 12505.500 11430.300 10516.800 9798.600 9441.600 9084.600 8719.200 8410.500 8047.200 7686.000 7324.800 7007.700 6650.700 6295.800 5972.400 5670.000 5405.090 5046.707 4725.523 4409.372 4082.869 3771.215 3449.104

L=5m 2262.127 2048.261 1833.909 1648.500 1243.473 1108.405 974.862 851.722 16009.528 14937.512 13864.346 12809.211 11939.326 11720.244 10702.528 9837.979 9157.570 8815.686 8482.353 8133.582 7838.304 7492.737 7156.425 6813.767 6512.732 6644.056 5845.682 5545.404 5259.740 4964.161 4635.014 4340.385 4046.295 3746.984 3460.969 3162.466

L=7m 1776.831 1601.473 1428.660 1264.603 729.899 640.786 554.883 465.682 14821.048 13817.524 12804.344 11830.729 11011.399 10817.907 9870.725 9058.398 8432.530 8118.315 7804.639 7477.873 7206.941 6889.726 6580.479 6265.868 5984.372 6327.973 5367.263 5087.223 4821.429 4528.344 4224.561 3956.344 3685.500 3413.156 3150.000 2878.554

BJ 37 L=9m 1103.829 984.449 869.015 764.838 441.541 387.553 335.646 281.788 13630.602 12699.279 11762.011 10842.482 10080.000 9917.129 9035.810 8287.470 7703.302 7416.811 7130.769 6827.878 6580.986 6286.875 6000.000 5709.119 5453.463 6013.291 4888.043 4629.767 4385.151 4093.651 3813.575 3571.741 3322.765 3077.477 2838.306 2591.991

Vn = (0.9 Aw Kn E)/(h/tw)2

L=12m 621.025 553.692 488.925 430.277 248.346 218.043 188.795 158.486 11842.359 11021.349 10185.073 9379.904 8680.191 8553.694 7781.007 7130.034 6616.205 6370.850 6117.576 5851.812 5637.064 5382.742 5134.269 4883.200 4656.279 5533.028 4169.404 3947.389 3735.178 3436.485 3200.506 2994.125 2781.509 2573.258 2372.368 2165.666

L=3m 3081.250 2796.883 2511.821 2265.979 1824.539 1634.450 1444.568 1281.626 19394.400 18112.800 16843.200 15576.000 14572.800 14292.000 13063.200 12031.231 11198.400 10790.400 10382.400 9954.845 9602.398 9178.443 8766.467 8354.491 7992.814 7600.800 7173.679 6805.184 6454.183 6122.255 5716.320 5352.569 4994.466 4629.249 4271.668 3906.811

L=5m 2489.201 2252.720 2017.464 1810.295 1343.093 1195.799 1049.914 913.203 18058.101 16849.116 15638.997 14435.589 13468.392 13221.092 12073.198 11087.823 10311.602 9935.912 9551.426 9158.824 8834.559 8445.179 8066.116 7680.000 7340.788 7533.003 6589.011 6244.831 5923.218 5591.328 5215.884 4884.400 4553.514 4216.742 3891.367 3558.993

L=7m 1824.987 1627.406 1436.743 1264.278 729.816 640.750 554.732 465.682 16604.795 15481.026 14346.848 13244.898 12328.934 12111.864 11051.777 10142.785 9434.204 9082.828 8732.044 8366.751 8063.758 7708.969 7356.784 7005.188 6690.727 7143.609 6001.001 5688.000 5391.015 5056.863 4713.866 4414.670 4112.612 3808.780 3512.338 3209.732

L=9m 1104.075 984.503 869.015 764.799 441.465 387.631 335.624 281.771 15151.875 14117.537 13066.874 12046.404 11184.037 11010.786 10025.480 9196.021 8548.397 8230.664 7907.388 7572.036 7298.405 6972.555 6649.508 6332.224 6039.819 6756.267 5418.072 5128.174 4857.571 4521.256 4215.317 3945.229 3670.588 3397.244 3133.382 2861.605

L=12m 620.967 553.743 488.866 430.277 248.350 218.014 188.791 158.492 12964.171 12059.121 11132.320 10254.115 9475.163 9347.286 8493.628 7784.456 7220.116 6948.100 6668.208 6379.513 6141.853 5865.306 5594.904 5318.424 5068.861 6174.492 4536.696 4295.532 4062.696 3721.948 3466.827 3237.776 3008.571 2783.601 2563.507 2340.390

*2 Nn = A . fy / ω

c6



Index

16" WF 16 x 8-1/2

16" WF 16 x 7

14" WF 14 x 16

14" WF 14 x 14-1/2

BJ 41 L=3m 3190.250 2895.869 2600.772 2346.285 1883.943 1689.082 1492.919 1323.643 20202.500 18867.500 17545.000 16241.241 15164.835 14887.500 13593.906 12495.010 11641.717 11217.565 10793.413 10348.953 9982.552 9541.833 9113.546 8685.259 8300.995 7917.500 7450.298 7067.594 6703.078 6364.758 5936.884 5564.596 5187.192 4807.882 4436.516 4057.579

L=5m 2562.370 2315.898 2074.213 1861.450 1373.913 1222.095 1072.034 913.102 18740.724 17469.907 16215.342 14981.533 13965.041 13708.564 12518.399 11496.786 10701.835 10302.475 9912.924 9496.798 9160.567 8756.856 8363.803 7963.470 7611.770 7823.617 6832.270 6475.410 6136.364 5792.902 5408.805 5065.081 4717.742 4372.760 4035.363 3687.388

L=7m 1824.800 1627.570 1436.353 1264.672 729.792 640.660 554.825 465.735 17193.617 16016.553 14856.054 13703.547 12756.303 12531.566 11434.874 10494.552 9753.344 9397.993 9035.088 8657.214 8343.750 7976.686 7612.313 7248.545 6923.237 7413.390 6209.611 5880.893 5573.906 5224.878 4874.494 4561.439 4249.395 3935.484 3629.227 3319.243

BJ 50 L=9m 1103.731 984.278 869.223 764.788 441.444 387.565 335.618 281.766 15648.722 14569.498 13485.780 12432.950 11543.726 11364.504 10347.909 9492.039 8817.082 8489.426 8156.109 7810.384 7522.539 7192.192 6864.216 6526.946 6230.396 7000.442 5584.948 5290.179 5011.136 4658.598 4343.434 4062.275 3779.612 3500.717 3226.557 2946.748

L=12m 620.907 553.796 488.916 430.221 248.330 218.024 188.782 158.487 13326.187 12388.378 11437.419 10528.877 9730.769 9592.461 8722.756 7984.694 7406.349 7127.457 6840.607 6540.643 6301.133 6013.810 5736.677 5453.408 5197.819 6379.936 4652.390 4399.752 4161.529 3806.080 3545.347 3313.271 3077.148 2847.141 2620.640 2392.629

L=3m 3616.442 3280.168 2946.147 2655.917 2118.028 1896.325 1675.114 1482.560 23318.308 21755.765 20210.725 18671.627 17434.455 17115.461 15628.416 14365.183 13370.949 12883.794 12396.640 11886.278 11465.449 10970.188 10467.456 9975.542 9534.286 9184.300 8565.714 8117.717 7699.115 7303.809 6812.878 6385.659 5952.632 5517.349 5091.237 4656.378

L=5m 2831.089 2557.929 2287.191 2052.222 1430.013 1255.564 1087.634 912.765 21382.208 19951.048 18502.000 17094.460 15921.157 15642.663 14271.881 13107.581 12201.443 11756.898 11302.162 10828.058 10444.694 9984.546 9536.388 9080.072 8671.416 8986.595 7783.527 7377.102 6997.319 6595.326 6152.599 5761.708 5366.784 4974.341 4590.606 4194.825

L=7m 1825.149 1627.264 1436.529 1264.722 729.715 640.776 554.783 465.773 19464.203 18132.809 16806.111 15503.295 14409.820 14178.571 12917.103 11865.359 11028.036 10617.590 10207.811 9773.377 9427.354 9005.511 8594.332 8177.203 7810.573 8472.601 7005.802 6640.580 6294.212 5884.422 5485.625 5137.598 4782.616 4429.421 4084.922 3733.099

BJ 55 L=9m 1104.015 984.464 869.104 764.980 441.461 387.574 335.597 281.750 17527.973 16320.880 15098.071 13910.569 12900.220 12707.506 11563.883 10600.876 9855.353 9482.473 9110.675 8725.217 8404.124 8029.480 7658.009 7282.361 6952.083 7958.666 6227.937 5895.354 5584.879 5175.848 4822.652 4510.889 4194.643 3885.244 3581.301 3270.930

L=12m 620.934 553.772 488.909 430.253 248.347 218.035 188.794 158.488 14628.527 13585.537 12539.864 11532.475 10633.333 10491.798 9531.824 8722.643 8088.105 7774.836 7467.500 7137.404 6872.485 6556.224 6250.883 5943.126 5659.240 7180.844 5063.599 4786.767 4526.012 4056.461 3761.993 3504.846 3235.709 2987.230 2741.127 2497.180

L=3m 4797.389 4348.779 3903.689 3512.003 2737.183 2448.531 2158.044 1899.796 32198.348 30041.456 27881.589 25758.955 24030.116 23612.669 21540.830 19800.193 18430.250 17758.767 17087.283 16384.216 15788.942 15106.923 14428.846 13737.560 13130.230 12984.700 11796.353 11179.674 10603.448 10041.690 9375.878 8779.602 8184.455 7578.788 7000.284 6396.310

L=5m 3475.014 3133.788 2793.989 2477.471 1430.285 1256.108 1087.602 912.893 28961.626 27000.611 25020.696 23098.090 21517.027 21138.961 19288.073 17700.690 16463.511 15863.683 15237.629 14612.189 14082.762 13462.896 12847.603 12233.362 11683.775 12366.381 10487.884 9940.665 9421.277 8848.452 8254.849 7724.290 7195.500 6669.333 6150.000 5624.709

L=7m 1825.102 1627.306 1436.851 1264.370 729.744 640.695 554.830 465.746 25703.724 23930.936 22150.731 20437.020 18960.548 18666.284 16996.420 15590.585 14481.908 13943.722 13406.349 12838.009 12364.834 11812.932 11274.230 10728.282 10240.793 11490.885 9179.836 8695.302 8230.483 7662.246 7138.684 6676.551 6216.415 5753.559 5302.941 4843.052

L=9m 1104.033 984.366 869.078 764.846 441.494 387.591 335.605 281.756 22447.222 20879.015 19298.323 17763.017 16421.636 16190.650 14720.515 13490.670 12511.838 12040.235 11562.321 11054.026 10648.833 10175.648 9700.065 9226.323 8792.866 10625.777 7874.311 7450.735 7050.955 6467.217 6020.000 5628.771 5226.755 4838.694 4453.193 4067.930

L=12m 620.983 553.729 488.897 430.260 248.338 218.020 188.786 158.489 16818.325 15510.125 14130.780 12901.333 11667.346 11619.512 10458.723 9494.936 8745.417 8397.995 8034.700 7633.722 7338.771 6978.878 6639.823 6292.981 5961.525 9328.089 5303.905 5001.780 4700.637 4055.187 3762.859 3505.189 3235.447 2986.269 2741.697 2497.101

*2 Nn = A . fy / ω

c7


Section Index

16" WF 16 x 8-1/2

16" WF 16 x 7

14" WF 14 x 16

14" WF 14 x 14-1/2

BJ 34 L=3m 2883.844 2619.648 2354.251 2127.097 1747.849 1569.029 1389.625 1237.532 16970.100 15848.700 14737.800 13629.000 12751.200 12505.500 11430.300 10516.800 9798.600 9441.600 9084.600 8719.200 8410.500 8047.200 7686.000 7324.800 7007.700 6650.700 6295.800 5972.400 5670.000 5415.900 5056.800 4739.700 4422.600 4099.200 3786.300 3462.900

L=5m 2490.698 2257.668 2024.881 1824.427 1428.121 1277.350 1126.431 992.595 16572.363 15462.146 14350.341 13257.782 12367.798 12153.061 11086.615 10190.698 9494.767 9139.981 8794.385 8432.495 8133.946 7775.072 7426.087 7070.270 6764.189 6650.700 6071.167 5753.757 5457.170 5172.779 4825.191 4522.615 4216.015 3904.000 3606.000 3294.862

L=7m 2095.749 1894.504 1694.810 1520.356 1105.232 970.717 840.554 705.683 15597.518 14553.444 13496.154 12469.350 11623.701 11410.128 10419.599 9569.427 8899.728 8575.477 8243.739 7904.986 7618.207 7289.130 6955.656 6628.778 6330.352 6539.528 5682.130 5385.392 5108.108 4818.416 4494.933 4209.325 3920.745 3630.824 3353.676 3064.513

BJ 37 L=9m 1672.086 1491.609 1316.434 1159.021 668.895 587.038 508.421 426.875 14629.397 13639.157 12639.623 11668.664 10861.329 10679.334 9736.201 8935.259 8317.997 8008.142 7698.814 7376.650 7109.467 6796.622 6491.554 6176.054 5898.737 6280.170 5290.588 5014.610 4752.724 4461.203 4161.975 3894.577 3628.056 3360.000 3098.445 2833.797

L=12m 940.469 838.754 740.494 651.719 376.155 330.276 285.965 240.050 13185.781 12276.297 11362.992 10475.788 9726.316 9575.421 8718.764 7997.567 7434.446 7152.727 6871.861 6580.528 6342.760 6064.205 5783.296 5503.231 5253.148 5890.788 4708.901 4460.344 4225.037 3927.411 3664.348 3427.115 3186.311 2951.188 2721.999 2485.930

L=3m 3250.549 2950.137 2653.783 2395.640 1959.690 1757.804 1556.923 1385.630 19394.400 18112.800 16843.200 15576.000 14572.800 14292.000 13063.200 12019.200 11198.400 10790.400 10382.400 9964.800 9612.000 9196.800 8784.000 8371.200 8008.800 7600.800 7195.200 6825.600 6480.000 6189.600 5779.200 5416.800 5054.400 4684.800 4327.200 3957.600

L=5m 2766.641 2508.075 2249.768 2024.252 1568.022 1401.915 1234.983 1086.282 18738.551 17483.398 16226.590 14991.338 13998.847 13742.308 12548.703 11523.682 10726.437 10335.632 9944.828 9535.694 9189.293 8792.352 8397.706 7995.415 7641.985 7600.800 6859.104 6506.768 6171.429 5839.245 5452.075 5105.372 4759.322 4411.299 4070.743 3723.048

L=7m 2285.641 2064.153 1847.208 1653.668 1105.808 970.799 840.415 705.412 17567.391 16376.854 15187.737 14032.432 13069.776 12840.970 11715.874 10760.251 10007.507 9642.895 9270.000 8889.206 8566.845 8189.492 7821.906 7447.687 7118.933 7400.974 6384.383 6056.433 5739.593 5405.764 5042.932 4722.581 4398.956 4077.285 3759.513 3438.401

BJ 41 L=9m 1672.367 1491.241 1316.540 1158.748 668.685 587.068 508.472 426.736 16380.405 15272.175 14153.950 13056.161 12144.000 11939.850 10886.000 9999.334 9293.278 8947.264 8601.823 8242.184 7943.802 7594.385 7247.525 6901.237 6591.605 7083.691 5912.243 5599.344 5307.125 4975.563 4638.202 4340.385 4043.520 3741.853 3453.472 3155.981

L=12m 940.603 838.793 740.528 651.662 376.144 330.248 285.965 240.088 14615.222 13608.415 12588.341 11597.915 10762.777 10594.514 9647.858 8844.150 8215.994 7905.055 7600.586 7273.577 7005.831 6698.325 6388.364 6079.303 5803.478 6609.391 5195.090 4921.125 4661.871 4322.346 4027.317 3769.520 3505.132 3244.321 2990.463 2731.263

L=3m 3370.556 3059.091 2751.815 2484.177 2029.110 1820.119 1610.781 1433.669 20202.500 18867.500 17545.000 16225.000 15180.000 14887.500 13607.500 12520.000 11665.000 11240.000 10815.000 10380.000 10012.500 9580.000 9150.000 8720.000 8342.500 7917.500 7495.000 7110.000 6750.000 6447.500 6020.000 5642.500 5265.000 4880.000 4507.500 4122.500

L=5m 2857.419 2588.462 2321.975 2089.354 1613.342 1440.621 1269.231 1115.284 19462.909 18159.288 16853.987 15571.017 14526.316 14260.057 13021.531 11969.407 11141.356 10735.435 10319.656 9895.138 9544.805 9123.810 8714.286 8304.762 7937.678 7917.500 7124.525 6752.137 6404.175 6059.680 5657.895 5298.122 4939.024 4573.571 4224.461 3860.019

L=7m 2346.129 2117.684 1892.946 1694.941 1105.539 970.455 840.532 705.579 18200.450 16967.176 15749.551 14538.530 13541.481 13304.290 12138.715 11148.709 10378.114 10000.000 9604.796 9210.293 8884.206 8485.385 8104.517 7716.814 7369.700 7686.893 6615.181 6275.375 5947.137 5596.788 5225.694 4889.515 4554.498 4221.453 3895.851 3560.017

L=9m 1672.131 1491.413 1316.332 1158.672 668.783 587.143 508.372 426.742 16948.406 15801.926 14645.242 13509.575 12555.831 12354.772 11255.170 10338.563 9616.653 9251.029 8901.235 8529.170 8213.700 7852.459 7493.857 7135.843 6815.768 7351.439 6108.394 5789.902 5487.805 5137.450 4792.994 4485.294 4175.258 3866.878 3566.060 3261.472

L=12m 940.541 838.891 740.537 651.839 376.190 330.240 285.983 240.070 15065.250 14017.459 12967.480 11956.522 11088.386 10914.589 9939.737 9118.718 8465.167 8144.928 7831.282 7494.585 7218.818 6897.048 6582.734 6259.871 5971.725 6843.129 5353.571 5067.712 4797.441 4446.552 4143.152 3875.343 3603.696 3335.612 3074.693 2808.243

*2 Nn = A . fy / ω

c8



Index

16" WF 16 x 8-1/2

16" WF 16 x 7

14" WF 14 x 16

14" WF 14 x 14-1/2


BJ 50 L=3m 3839.839 3485.179 3132.413 2827.950 2298.662 2060.399 1823.612 1620.867 23434.900 21886.300 20352.200 18821.000 17608.800 17269.500 15784.700 14523.200 13531.400 13038.400 12545.400 12040.800 11614.500 11112.800 10614.000 10115.200 9677.300 9184.300 8694.200 8247.600 7830.000 7479.100 6983.200 6545.300 6107.400 5672.144 5233.934 4786.887

L=5m 3198.434 2897.847 2598.006 2334.872 1779.417 1586.547 1396.637 1223.410 22297.716 20804.468 19309.488 17822.917 16627.762 16338.221 14905.288 13701.132 12753.440 12288.784 11812.994 11327.187 10926.152 10444.361 9975.564 9497.840 9078.143 9184.300 8148.266 7722.472 7324.602 6925.093 6465.926 6054.857 5644.547 5226.962 4827.978 4411.531

L=7m 2560.657 2308.338 2061.958 1842.254 1105.762 970.740 840.516 705.503 20738.850 19317.123 17915.669 16538.664 15405.774 15135.408 13809.886 12684.017 11797.210 11367.393 10918.538 10470.261 10090.791 9646.528 9213.542 8765.338 8378.615 8805.657 7514.434 7128.436 6755.824 6348.981 5928.014 5546.864 5167.005 4785.123 4416.132 4035.527

BJ 55 L=9m 1672.164 1491.270 1316.874 1158.419 668.702 587.220 508.337 426.760 19161.815 17837.245 16533.063 15252.026 14177.778 13938.257 12709.098 11665.221 10842.468 10439.071 10036.320 9617.252 9261.962 8854.821 8450.637 8040.700 7680.397 8395.155 6883.769 6525.000 6179.953 5775.367 5384.117 5038.722 4690.783 4344.436 4006.667 3661.639

L=12m 940.592 838.764 740.568 651.759 376.152 330.268 285.950 240.085 16799.211 15633.071 14454.688 13319.887 12331.092 12153.061 11053.711 10134.822 9409.875 9054.444 8700.000 8321.216 8021.064 7658.718 7304.886 6952.027 6628.288 7763.567 5934.608 5622.086 5319.293 4910.768 4573.150 4277.974 3978.762 3680.624 3390.856 3097.215

L=3m 5169.565 4688.700 4214.661 3799.241 3038.937 2722.706 2406.729 2131.126 33099.001 30880.938 28716.367 26529.412 24771.343 24318.227 22205.274 20410.338 18997.617 18305.462 17595.833 16888.095 16274.034 15571.060 14872.151 14159.208 13546.238 12984.700 12158.061 11533.531 10938.735 10376.742 9688.714 9072.255 8457.003 7838.590 7240.255 6615.362

L=5m 4097.230 3703.758 3313.324 2972.230 2167.764 1902.935 1647.598 1382.864 30480.313 28413.866 26373.786 24344.922 22693.892 22297.260 20343.026 18700.182 17391.455 16742.598 16109.537 15447.550 14887.126 14231.159 13592.391 12941.900 12370.434 12767.650 11093.682 10523.827 9972.973 9407.384 8783.630 8218.206 7661.579 7095.035 6547.653 5988.397

L=7m 2764.171 2465.036 2176.499 1915.367 1105.382 970.589 840.486 705.587 27842.101 25936.882 24038.262 22174.167 20642.786 20278.654 18504.395 16983.292 15784.323 15196.702 14610.049 13999.342 13492.605 12899.179 12310.090 11721.967 11196.154 12067.565 10042.320 9510.930 9007.323 8445.607 7866.773 7367.596 6863.752 6351.746 5862.252 5353.048

BJ 34 L=9m 1672.223 1491.010 1316.559 1158.701 668.697 587.114 508.377 426.794 25195.513 23459.212 21699.698 20006.767 18564.653 18275.075 16641.536 15266.022 14181.319 13644.412 13109.091 12553.982 12100.590 11560.854 11033.824 10492.150 10015.886 11360.192 8972.117 8498.834 8050.909 7472.721 6962.482 6512.104 6059.368 5608.409 5173.058 4724.598

L=12m 940.686 838.852 740.625 651.730 376.172 330.282 285.987 240.086 21238.526 19733.865 18211.266 16756.297 15462.857 15259.688 13861.056 12690.235 11772.677 11322.850 10868.015 10392.674 10012.500 9556.691 9111.111 8656.659 8251.930 10297.145 7382.462 6982.275 6601.073 6018.156 5603.178 5233.993 4859.088 4493.655 4139.026 3777.039

L=3m 2564.740 2326.420 2087.951 1882.463 1490.120 1332.392 1177.179 1039.348 16752.320 15629.882 14520.000 13414.370 12525.737 12296.460 11228.193 10320.707 9606.471 9256.471 8897.747 8531.507 8229.452 7873.973 7513.196 7160.117 6843.457 6650.700 6142.244 5826.732 5526.316 5237.814 4890.522 4579.420 4268.919 3956.757 3654.730 3339.344

L=5m 1958.323 1769.944 1581.192 1415.890 915.310 803.765 696.026 584.236 15260.881 14239.623 13205.914 12190.519 11354.586 11165.625 10178.362 9356.584 8702.131 8377.640 8060.870 7722.941 7442.920 7121.416 6795.756 6470.671 6185.084 6444.477 5546.960 5257.394 4982.425 4693.154 4378.182 4100.087 3819.171 3536.842 3266.868 2982.687

L=7m 1167.632 1041.585 919.603 809.080 467.050 410.037 355.088 298.114 13774.432 12843.355 11894.915 10973.430 10192.806 10028.468 9136.930 8386.603 7795.227 7505.246 7210.000 6909.033 6659.145 6366.456 6071.090 5781.215 5517.874 6051.592 4945.640 4687.912 4443.574 4146.937 3866.055 3620.856 3368.317 3119.635 2877.128 2629.385

L=9m 706.488 630.059 556.331 489.480 282.533 248.050 214.811 180.330 12297.174 11434.848 10579.899 9741.959 9030.595 8894.381 8095.113 7421.877 6890.717 6630.337 6366.223 6097.343 5873.254 5611.715 5352.368 5090.202 4856.341 5650.552 4347.928 4118.897 3896.907 3600.997 3355.541 3138.874 2917.282 2700.395 2489.349 2272.244

L=12m 397.428 354.377 312.888 275.365 158.930 139.537 120.819 101.436 10059.336 9339.246 8603.503 7910.041 7282.239 7195.339 6527.870 5968.672 5532.806 5316.216 5103.708 4873.784 4693.359 4467.564 4249.343 4027.381 3813.714 5057.567 3393.962 3200.214 3007.958 2595.998 2408.000 2243.645 2071.475 1912.163 1754.948 1597.647

*2 Nn = A . fy / ω

c9



Index L=3m 2860.274 16" WF 2592.616 16 x 8-1/2 2327.098 2096.661 1643.931 16" WF 1470.301 16 x 7 1297.436 1143.894 18976.908 17705.572 16432.390 15181.287 14175.875 13916.261 12707.393 11680.466 10872.233 14" WF 10465.955 14 x 16 10070.223 9655.814 9313.953 8903.001 8503.388 8103.775 7745.455 7600.800 6951.884 6588.417 6254.826 5923.062 5530.335 5178.585 14" WF 14 x 14-1/2 4827.507 4474.499 4129.008 3776.336

BJ 37 L=5m 2119.164 1911.479 1706.448 1526.389 915.573 803.765 695.931 584.125 17163.186 16000.707 14826.761 13687.170 12749.606 12525.855 11428.871 10497.118 9763.208 9407.498 9036.031 8665.043 8350.999 7983.333 7625.000 7260.364 6934.026 7287.440 6218.842 5899.395 5591.027 5258.794 4905.942 4590.508 4276.142 3963.452 3654.730 3339.747

L=7m 1168.112 1041.644 919.447 809.390 467.067 410.023 355.088 298.104 15343.671 14284.543 13231.108 12197.338 11331.882 11148.206 10158.009 9317.209 8660.789 8338.794 8011.111 7671.132 7393.846 7063.594 6741.366 6414.713 6122.936 6804.655 5488.330 5198.477 4924.012 4588.288 4277.720 4003.548 3724.687 3447.241 3181.765 2905.727

BJ 41 L=9m 706.564 630.015 556.236 489.578 282.546 248.061 214.811 180.330 13515.261 12578.333 11624.017 10705.155 9906.730 9762.295 8880.489 8137.576 7551.180 7266.263 6982.112 6678.820 6429.431 6139.386 5859.907 5573.369 5314.399 6323.461 4755.585 4502.375 4260.355 3919.949 3653.097 3415.385 3172.881 2937.179 2706.191 2470.412

L=12m 397.380 354.405 312.906 275.360 158.938 139.535 120.826 101.428 10759.723 9924.822 9043.329 8257.654 7468.443 7434.070 6694.785 6077.977 5599.200 5375.044 5139.802 4887.701 4694.505 4467.177 4248.609 4027.035 3813.714 5592.936 3393.962 3200.750 3008.706 2595.220 2408.000 2242.981 2071.475 1911.188 1754.567 1598.223

L=3m 2955.635 2679.140 2404.837 2165.091 1692.857 1513.111 1335.327 1176.775 19709.756 18389.376 17067.121 15767.736 14709.302 14453.883 13185.562 12120.039 11281.431 10870.406 10459.381 10028.986 9664.575 9247.104 8832.046 8408.872 8037.091 7917.500 7220.617 6843.118 6490.385 6152.195 5738.799 5373.810 5009.515 4643.197 4288.773 3918.726

L=5m 2167.351 1955.259 1744.822 1559.308 915.500 803.765 696.011 584.260 17768.250 16564.969 15363.398 14182.692 13211.488 12979.512 11842.907 10868.056 10108.319 9740.035 9355.536 8971.478 8653.846 8265.746 7894.737 7517.241 7179.432 7569.312 6439.003 6108.247 5789.022 5440.928 5075.885 4749.579 4424.370 4100.840 3781.460 3455.574

L=7m 1167.785 1041.393 919.636 809.278 467.110 410.084 355.088 298.058 15832.680 14751.759 13653.696 12597.050 11694.915 11513.921 10483.436 9615.975 8938.697 8599.847 8262.032 7917.620 7625.666 7290.715 6952.888 6621.109 6315.291 7050.312 5665.155 5361.991 5079.007 4730.374 4410.256 4127.652 3837.464 3554.261 3278.182 2993.827

BJ 50 L=9m L=12m 706.472 397.420 630.002 354.397 556.294 312.911 489.532 275.370 282.563 158.940 248.076 139.542 214.801 120.821 180.330 101.433 13903.992 10760.320 12931.803 9923.734 11951.635 9043.814 11007.463 8256.997 10187.919 7468.635 10038.773 7434.457 9132.550 6694.957 8357.810 6077.670 7761.144 5598.080 7468.439 5374.776 7171.751 5140.820 6856.011 4887.581 6604.551 4695.193 6310.935 4466.200 6019.737 4250.871 5725.542 4025.389 5456.181 3813.714 6537.985 5762.373 4885.919 3393.322 4622.887 3200.900 4374.595 3008.357 4022.146 2595.873 3743.781 2408.000 3500.310 2243.539 3252.007 2070.796 3008.631 1911.851 2773.846 1754.745 2530.694 1597.868

L=3m 3322.308 3009.561 2699.693 2429.192 1877.869 1677.913 1479.234 1299.672 22598.746 21085.067 19569.423 18079.731 16866.667 16557.526 15119.444 13897.799 12936.329 12465.010 11982.235 11489.313 11082.538 10593.708 10118.208 9642.707 9216.476 9184.300 8272.312 7839.924 7435.897 7035.842 6569.332 6151.598 5734.648 5310.319 4904.972 4481.818

L=5m 2289.046 2040.993 1802.793 1585.622 915.637 803.765 696.000 584.277 20185.099 18818.831 17439.760 16100.086 14986.213 14722.506 13433.787 12328.693 11467.288 11040.135 10613.706 10169.595 9809.544 9369.983 8949.410 8514.478 8132.185 8664.434 7299.916 6919.128 6557.789 6150.576 5738.044 5369.401 5001.966 4632.406 4275.307 3906.944

L=7m 1167.897 1041.601 919.660 809.165 467.055 410.033 355.088 298.074 17767.172 16542.933 15302.406 14108.696 13092.045 12887.687 11735.836 10757.926 10001.035 9622.435 9244.952 8853.529 8527.533 8147.214 7775.824 7399.561 7058.570 8021.223 6327.656 5989.542 5673.913 5263.265 4907.379 4589.972 4270.909 3953.073 3643.693 3327.836

L=9m 706.461 630.089 556.268 489.570 282.549 248.063 214.794 180.330 15347.020 14276.778 13181.477 12126.933 11201.527 11056.018 10041.158 9191.899 8526.402 8205.412 7875.330 7530.206 7254.528 6923.863 6604.854 6278.833 5984.725 7376.948 5353.571 5066.093 4791.922 4376.302 4076.591 3809.837 3536.422 3272.139 3013.660 2749.914

L=12m 397.415 354.412 312.893 275.373 158.936 139.537 120.823 101.431 10762.296 9925.760 9045.422 8254.825 7469.268 7435.737 6695.525 6076.653 5597.270 5373.890 5141.557 4887.184 4695.099 4467.457 4249.850 4025.950 3815.594 6409.142 3394.514 3199.845 3008.646 2595.783 2408.000 2243.462 2071.183 1911.625 1754.597 1598.028

*2 Nn = A . fy / ω

c 10



Section



Index

BJ 55

L=3m 4303.691 16" WF 3894.566 16 x 8-1/2 3487.588 3131.272 2334.414 16" WF 2080.452 16 x 7 1827.305 1591.984 30993.545 28891.410 26816.216 24775.605 23093.878 22690.985 20701.577 19011.852 17697.132 14" WF 17052.359 14 x 16 16392.421 15718.560 15162.050 14493.727 13843.173 13180.461 12598.250 12907.256 11297.610 10717.279 10165.289 9595.191 8950.861 8381.975 14" WF 14 x 14-1/2 7814.118 7236.166 6683.816 6107.407

L=5m 2289.344 2041.091 1801.920 1585.886 915.349 803.765 695.980 584.309 26914.785 25075.122 23223.406 21424.316 19916.160 19595.104 17853.040 16386.911 15231.369 14664.757 14099.046 13499.762 13011.490 12429.747 11871.835 11296.051 10781.481 11825.774 9670.968 9159.780 8675.549 8102.605 7553.787 7069.290 6581.250 6095.354 5621.521 5133.561

L=7m 1167.819 1041.491 919.492 809.322 467.093 410.060 355.088 298.102 22865.493 21266.460 19640.819 18089.055 16741.896 16508.114 15007.599 13743.507 12762.241 12280.879 11792.952 11281.113 10860.119 10370.429 9898.417 9414.615 8977.493 10731.157 8033.856 7606.262 7192.982 6612.821 6162.797 5758.370 5353.131 4949.412 4560.333 4165.681

*2 Nn = A . fy / ω

kc = 0.8 ( jepit - sendi ) L=9m 706.542 630.067 556.298 489.572 282.548 248.062 214.799 180.330 18803.689 17442.334 16056.808 14680.828 13277.440 13215.426 11902.027 10806.737 9950.897 9551.088 9136.690 8685.306 8345.870 7939.962 7554.940 7159.349 6781.512 9646.880 6032.785 5688.000 5347.826 4614.905 4280.889 3988.664 3682.132 3398.386 3119.114 2840.714

L=12m 397.405 354.410 312.909 275.359 158.937 139.540 120.821 101.433 10761.543 9921.507 9044.809 8254.052 7467.627 7435.249 6694.053 6077.040 5597.835 5374.227 5141.043 4886.459 4694.925 4466.581 4249.487 4026.976 3815.044 8025.155 3393.182 3200.110 3008.152 2595.618 2408.000 2243.321 2071.268 1911.783 1754.328 1597.849

L=3m 148553.52 133463.02 119005.98 106424.20 93557.64 83191.75 73499.51 63568.56 941660.16 857633.03 777499.28 700726.71 590096.71 627123.18 558261.65 503012.87 460485.20 439534.39 418918.17 398726.88 380942.80 362303.08 343130.52 324637.10 306825.36 288710.94 271631.40 255149.01 238353.26 227104.45 210725.60 195538.85 180625.30 166360.59 151719.35 137876.41

L=5m 53479.27 48046.69 42842.15 38312.71 33680.75 29949.03 26459.82 22884.68 338997.66 308747.89 279899.74 252261.61 212434.82 225764.35 200974.20 181084.63 165774.67 158232.38 150810.54 143541.68 137139.41 130429.11 123526.99 116869.36 110457.13 103935.94 97787.30 91853.64 85807.17 81757.60 75861.21 70393.99 65025.11 59889.81 54618.97 49635.51

L=7m 27285.34 24513.62 21858.24 19547.30 17184.06 15280.12 13499.91 11675.86 172957.99 157524.43 142805.99 128704.91 108385.11 115185.89 102537.85 92390.12 84578.91 80730.81 76944.15 73235.55 69969.09 66545.46 63023.97 59627.22 56355.68 53028.54 49891.48 46864.10 43779.17 41713.06 38704.70 35915.30 33176.08 30556.03 27866.82 25324.24

L=9m 16505.95 14829.22 13222.89 11824.91 10395.29 9243.53 8166.61 7063.17 104628.91 95292.56 86388.81 77858.52 65566.30 69680.35 62029.07 55890.32 51165.02 48837.15 46546.46 44302.99 42326.98 40255.90 38125.61 36070.79 34091.71 32078.99 30181.27 28349.89 26483.70 25233.83 23413.96 21726.54 20069.48 18484.51 16857.71 15319.60

kc = 0.65 ( jepit - jepit ) L=12m 9284.60 8341.44 7437.87 6651.51 5847.35 5199.48 4593.72 3973.04 58853.76 53602.06 48593.71 43795.42 36881.04 39195.20 34891.35 31438.30 28780.33 27470.90 26182.39 24920.43 23808.93 22643.94 21445.66 20289.82 19176.59 18044.43 16976.96 15946.81 14897.08 14194.03 13170.35 12221.18 11289.08 10397.54 9482.46 8617.28

L=3m 225027.82 202168.83 180269.41 161210.62 141720.46 126018.27 111336.54 96293.20 1426420.13 1299136.43 1177750.39 1061455.84 893874.31 949961.74 845650.79 761960.33 697539.71 665803.57 634574.27 603988.64 577049.45 548814.13 519771.68 491757.97 464776.88 437337.28 411465.31 386497.91 361055.83 344016.21 319205.64 296200.87 273609.92 252001.84 229823.40 208854.21

L=5m 81010.02 72780.78 64896.99 58035.82 51019.36 45366.58 40081.15 34665.55 513511.25 467689.11 423990.14 382124.10 321794.75 341986.23 304434.28 274305.72 251114.30 239689.29 228446.74 217435.91 207737.80 197573.09 187117.81 177032.87 167319.68 157441.42 148127.51 139139.25 129980.10 123845.84 114914.03 106632.31 98499.57 90720.66 82736.42 75187.52

L=7m 41331.64 37133.05 33110.71 29610.11 26030.29 23146.21 20449.57 17686.51 261995.53 238616.89 216321.50 194961.28 164181.00 174482.77 155323.61 139951.90 128119.54 122290.45 116554.46 110936.69 105988.67 100802.60 95468.27 90322.89 85367.18 80327.26 75575.26 70989.41 66316.38 63186.65 58629.61 54404.24 50254.88 46286.05 42212.46 38360.98

L=9m 25003.09 22463.20 20029.93 17912.29 15746.72 14002.03 12370.73 10699.24 158491.13 144348.49 130861.15 117939.54 99319.37 105551.30 93961.20 84662.26 77504.41 73978.17 70508.25 67109.85 64116.61 60979.35 57752.41 54639.77 51641.88 48593.03 45718.37 42944.21 40117.31 38224.02 35467.29 32911.21 30401.10 28000.20 25535.93 23206.02

L=12m 14064.24 12635.55 11266.84 10075.66 8857.53 7876.14 6958.53 6018.33 89151.26 81196.03 73609.40 66340.99 55867.14 59372.61 52853.17 47622.52 43596.23 41612.72 39660.89 37749.29 36065.59 34300.88 32485.73 30734.87 29048.56 27333.58 25716.58 24156.12 22565.99 21501.01 19950.35 18512.55 17100.62 15750.12 14363.96 13053.39

*3 Ncrb = π2. E . A/( Kc.L / rx )2

c 11

Øb = 0.9 Section Index



Parameter

Konstanta

Konstanta

Komponen Tak Bergoyang Ncrb ( KN ) *3 kc = 1 ( sendi - sendi )


Øb Ny ( KN )

Puntir

Puntir

Torsi (J)

Lengkung (Iw)

L=3m 95074.25 16" WF 85416.33 16 x 8-1/2 76163.83 68111.49 59876.89 16" WF 53242.72 16 x 7 47039.69 40683.88 602662.50 548885.14 497599.54 448465.09 377661.90 401358.84 357287.46 321928.24 294710.53 14" WF 281302.01 14 x 16 268107.63 255185.20 243803.39 231873.97 219603.54 207767.74 196368.23 184775.00 173844.09 163295.37 152546.09 145346.85 134864.38 125144.87 14" WF 14 x 14-1/2 115600.19 106470.78 97100.38 88240.90

L=5m 34226.73 30749.88 27418.98 24520.13 21555.68 19167.38 16934.29 14646.20 216958.50 197598.65 179135.83 161447.43 135958.28 144489.18 128623.49 115894.17 106095.79 101268.72 96518.75 91866.67 87769.22 83474.63 79057.27 74796.39 70692.56 66519.00 62583.87 58786.33 54916.59 52324.87 48551.18 45052.15 41616.07 38329.48 34956.14 31766.73

L=7m 17462.62 15688.71 13989.27 12510.27 10997.80 9779.28 8639.94 7472.55 110693.11 100815.64 91395.83 82371.14 69366.47 73718.97 65624.23 59129.68 54130.51 51667.72 49244.26 46870.75 44780.22 42589.10 40335.34 38161.42 36067.63 33938.27 31930.55 29993.03 28018.67 26696.36 24771.01 22985.79 21232.69 19555.86 17834.76 16207.51

*3 Ncrb = π2. E . A/( Kc.L / rx )2

L=9m 10563.81 9490.70 8462.65 7567.94 6652.99 5915.86 5226.63 4520.43 66962.50 60987.24 55288.84 49829.45 41962.43 44595.43 39698.61 35769.80 32745.61 31255.78 29789.74 28353.91 27089.27 25763.77 24400.39 23085.30 21818.69 20530.56 19316.01 18143.93 16949.57 16149.65 14984.93 13904.99 12844.47 11830.09 10788.93 9804.54

L=12m 5942.14 5338.52 4760.24 4256.97 3742.31 3327.67 2939.98 2542.74 37666.41 34305.32 31099.97 28029.07 23603.87 25084.93 22330.47 20120.51 18419.41 17581.38 16756.73 15949.08 15237.71 14492.12 13725.22 12985.48 12273.01 11548.44 10865.26 10205.96 9534.13 9084.18 8429.02 7821.55 7225.01 6654.42 6068.77 5515.06

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

3105.90 2826.60 2547.30 2307.90 1990.80 1793.40 1593.90 1434.30 16970.10 15848.70 14737.80 13629.00 12751.20 12505.50 11430.30 10516.80 9798.60 9441.60 9084.60 8719.20 8410.50 8047.20 7686.00 7324.80 7007.70 6650.70 6295.80 5972.40 5670.00 5415.90 5056.80 4739.70 4422.60 4099.20 3786.30 3462.90

3549.60 3230.40 2911.20 2637.60 2275.20 2049.60 1821.60 1639.20 19394.40 18112.80 16843.20 15576.00 14572.80 14292.00 13063.20 12019.20 11198.40 10790.40 10382.40 9964.80 9612.00 9196.80 8784.00 8371.20 8008.80 7600.80 7195.20 6825.60 6480.00 6189.60 5779.20 5416.80 5054.40 4684.80 4327.20 3957.60

3697.50 3365.00 3032.50 2747.50 2370.00 2135.00 1897.50 1707.50 20202.50 18867.50 17545.00 16225.00 15180.00 14887.50 13607.50 12520.00 11665.00 11240.00 10815.00 10380.00 10012.50 9580.00 9150.00 8720.00 8342.50 7917.50 7495.00 7110.00 6750.00 6447.50 6020.00 5642.50 5265.00 4880.00 4507.50 4122.50

4289.10 3903.40 3517.70 3187.10 2749.20 2476.60 2201.10 1980.70 23434.90 21886.30 20352.20 18821.00 17608.80 17269.50 15784.70 14523.20 13531.40 13038.40 12545.40 12040.80 11614.50 11112.80 10614.00 10115.20 9677.30 9184.30 8694.20 8247.60 7830.00 7479.10 6983.20 6545.30 6107.40 5660.80 5228.70 4782.10

6063.90 5518.60 4973.30 4505.90 3886.80 3501.40 3111.90 2800.30 33132.10 30942.70 28773.80 26609.00 24895.20 24415.50 22316.30 20532.80 19130.60 18433.60 17736.60 17023.20 16420.50 15711.20 15006.00 14300.80 13681.70 12984.70 12291.80 11660.40 11070.00 10573.90 9872.80 9253.70 8634.60 8003.20 7392.30 6760.90

2795.31 2543.94 2292.57 2077.11 1791.72 1614.06 1434.51 1290.87 15273.09 14263.83 13264.02 12266.10 11476.08 11254.95 10287.27 9465.12 8818.74 8497.44 8176.14 7847.28 7569.45 7242.48 6917.40 6592.32 6306.93 5985.63 5666.22 5375.16 5103.00 4874.31 4551.12 4265.73 3980.34 3689.28 3407.67 3116.61

3194.64 2907.36 2620.08 2373.84 2047.68 1844.64 1639.44 1475.28 17454.96 16301.52 15158.88 14018.40 13115.52 12862.80 11756.88 10817.28 10078.56 9711.36 9344.16 8968.32 8650.80 8277.12 7905.60 7534.08 7207.92 6840.72 6475.68 6143.04 5832.00 5570.64 5201.28 4875.12 4548.96 4216.32 3894.48 3561.84

3327.75 3028.50 2729.25 2472.75 2133.00 1921.50 1707.75 1536.75 18182.25 16980.75 15790.50 14602.50 13662.00 13398.75 12246.75 11268.00 10498.50 10116.00 9733.50 9342.00 9011.25 8622.00 8235.00 7848.00 7508.25 7125.75 6745.50 6399.00 6075.00 5802.75 5418.00 5078.25 4738.50 4392.00 4056.75 3710.25

3860.19 3513.06 3165.93 2868.39 2474.28 2228.94 1980.99 1782.63 21091.41 19697.67 18316.98 16938.90 15847.92 15542.55 14206.23 13070.88 12178.26 11734.56 11290.86 10836.72 10453.05 10001.52 9552.60 9103.68 8709.57 8265.87 7824.78 7422.84 7047.00 6731.19 6284.88 5890.77 5496.66 5094.72 4705.83 4303.89

5457.51 4966.74 4475.97 4055.31 3498.12 3151.26 2800.71 2520.27 29818.89 27848.43 25896.42 23948.10 22405.68 21973.95 20084.67 18479.52 17217.54 16590.24 15962.94 15320.88 14778.45 14140.08 13505.40 12870.72 12313.53 11686.23 11062.62 10494.36 9963.00 9516.51 8885.52 8328.33 7771.14 7202.88 6653.07 6084.81

4

mm 1596554.04 1190631.67 862402.54 629925.07 486926.39 348955.37 247697.32 152411.37 129247877.51 105677583.00 85741158.39 68327712.44 42464842.18 53563048.09 41062701.16 32373723.82 26366511.18 23574311.42 21182544.00 18769761.59 16727253.32 14841455.85 12966735.54 11376166.67 9817180.19 8409723.43 7238749.42 6177017.64 5170068.00 4907628.00 4050899.45 3356014.34 2695130.07 2172054.07 1687314.00 1310330.48

mm6x(1011) 9.49 8.32 7.21 6.31 3.64 3.14 2.72 2.17 305.70 273.67 245.14 217.26 173.67 192.17 168.03 149.51 135.78 128.35 122.12 115.70 109.74 103.98 98.00 92.53 86.36 80.83 75.85 70.92 65.71 56.26 51.80 47.94 43.88 40.28 36.40 33.03

*4 Ny = A . fy

c 12


Weight


12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2

Section d

kg/m 125.00 116.10 110.10 101.20 90.78 78.87 71.43 63.99 56.55 50.60 44.64 282.80 239.60 197.90 178.60 157.70 147.30 136.90 126.50 117.60 107.10 96.73 86.31 78.87 74.41 66.97 59.53 53.57 46.13

mm 360 357 360 357 353 354 351 347 359 356 352 365 353 340 333 327 324 321 318 314 311 308 310 306 310 306 303 311 307

K = Kompak

Web

Flange


B mm 305 305 256 255 254 205 204 203 172 171 171 322 318 314 313 311 310 309 307 307 306 305 254 254 205 204 203 167 166

mm 11.46 11.87 11.43 10.62 9.60 9.40 8.61 7.82 7.95 7.29 6.86 26.92 22.99 19.18 18.03 15.75 14.73 13.84 12.57 11.94 10.92 9.91 9.12 8.76 9.42 8.53 7.47 7.75 6.73

t2 mm 19.76 18.24 19.89 18.24 16.33 16.71 15.06 13.41 13.03 11.51 9.73 44.09 37.74 31.39 28.09 25.04 23.39 21.74 20.22 18.69 17.04 15.39 16.28 14.63 16.28 14.63 13.11 13.72 11.81

NK = Non Kompak


Area

r

A

mm 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 109.00 109.00 109.00 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 15.20 9.40 9.40

Momen

Radius

Modulus

Centre

Modulus

Inersia

of Gyration

of Section


of Plastis

Ix 2

cm 159.4 148.0 140.4 129.0 115.7 100.6 91.0 81.6 72.1 64.5 56.8 360.4 305.7 252.3 227.8 201.2 187.7 174.6 161.2 149.8 136.5 123.3 110.1 100.6 94.9 85.4 75.9 68.3 58.8

Iy 4

cm 38650 35430 33170 30140 26700 22570 20180 17860 16040 14120 12060 78780 64180 50840 44610 38740 35740 32840 30110 27600 24870 22200 19820 17740 16420 14600 12910 11690 9924

rx 4

cm 9387 8613 5557 5045 4467 2394 2136 1877 1024 886.8 728.5 24550 20240 16230 14360 12520 11580 10670 9803 9008 8130 7268 4471 4000 2348 2081 1836 986.6 824.2

mm 155.7 154.7 153.7 152.9 151.9 149.9 148.8 147.8 149.1 148.1 145.5 147.8 144.8 142.0 140.0 138.7 137.9 137.2 136.6 135.6 134.9 134.1 134.1 132.8 131.6 130.8 130.3 130.8 129.8

ry mm 76.7 76.2 63.0 62.5 62.2 48.8 48.5 48.0 37.8 37.1 35.8 82.6 81.3 80.3 79.5 79.0 78.5 78.2 78.2 77.5 77.2 76.7 63.8 63.0 49.8 49.3 49.3 38.1 37.3

Sx

Sy 3

cm 2145.4 1984.8 1840.6 1688.1 1511.2 1275.1 1150.6 1027.6 894.9 794.9 685.1 4313.8 3641.8 2991.2 2678.1 2368.4 2207.7 2048.8 1896.3 1755.4 1598.0 1442.3 1280.0 1158.8 1060.4 953.9 850.6 752.3 645.8

Cx 3

cm 614.6 565.4 434.3 395.0 352.4 234.4 209.8 185.2 119.6 103.2 85.2 1525.9 1273.5 1034.2 917.8 806.4 749.0 691.6 637.6 586.8 531.0 476.9 350.7 314.7 229.5 203.2 180.3 118.0 100.0

mm 30.80 31.73 33.59 32.85 31.82 35.09 34.39 33.61 38.39 37.34 36.41 41.05 37.43 33.76 32.44 30.39 29.46 28.67 27.50 26.83 25.92 25.02 26.18 25.97 29.73 28.74 27.45 31.88 30.80

Cy mm 58.49 56.94 47.29 46.79 46.31 35.76 35.24 34.70 28.10 27.67 27.17 64.90 63.69 62.45 61.52 61.11 60.75 60.27 59.98 59.59 59.18 58.73 48.41 47.62 36.88 36.47 36.29 28.59 28.17

Zx


3

mm 2378248.00 2172196.00 2055596.40 1878885.00 1673947.60 1427614.60 1284101.00 1141502.40 1017403.10 907257.00 792871.20 5097858.00 4251369.90 3437335.20 3053886.80 2678173.20 2487775.80 2301751.80 2119780.00 1949946.60 1768767.00 1590323.40 1418308.20 1277921.80 1188812.30 1061180.40 941539.50 844324.60 721476.00

mm3 932330.60 842712.00 663951.60 603591.00 535806.70 359745.60 320684.00 283152.00 202601.00 178471.50 154325.60 2338996.00 1947003.30 1575613.50 1401425.60 1229533.20 1140277.50 1052314.20 966877.60 892658.20 807807.00 724140.90 532994.10 479057.20 349991.20 311453.80 275441.10 195269.70 165639.60






S = Slender

d1

Panjang Bentang Maksimum Section Index 14" WF 14 x 12 14" WF 14 x 10 14" WF 14 x 8 14" WF 14 x 6-3/4

12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2



2




BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm 4165.944 4138.786 3421.831 3394.674 3378.379 2650.561 2634.267 2607.109 2053.099 2015.078 1944.469 4486.401 4415.792 4361.477 4318.025 4290.868 4263.710 4247.416 4247.416 4209.395 4193.101 4165.944 3465.283 3421.831 2704.876 2677.719 2677.719 2069.393 2025.941

mm 3896.883 3871.480 3200.830 3175.426 3160.184 2479.373 2464.131 2438.728 1920.498 1884.933 1818.884 4196.644 4130.595 4079.788 4039.142 4013.739 3988.336 3973.094 3973.094 3937.529 3922.287 3896.883 3241.475 3200.830 2530.180 2504.776 2504.776 1935.740 1895.095

mm 3818.150 3793.260 3136.160 3111.270 3096.336 2429.279 2414.345 2389.455 1881.696 1846.850 1782.135 4111.854 4047.140 3997.359 3957.535 3932.645 3907.755 3892.821 3892.821 3857.975 3843.041 3818.150 3175.984 3136.160 2479.060 2454.170 2454.170 1896.630 1856.806

mm 3545.064 3521.954 2911.851 2888.742 2874.876 2255.529 2241.663 2218.553 1747.111 1714.757 1654.671 3817.761 3757.675 3711.455 3674.479 3651.369 3628.259 3614.393 3614.393 3582.039 3568.174 3545.064 2948.827 2911.851 2301.749 2278.639 2278.639 1760.977 1724.001

mm 2981.475 2962.039 2448.930 2429.494 2417.832 1896.949 1885.287 1865.851 1469.358 1442.147 1391.614 3210.819 3160.285 3121.413 3090.316 3070.880 3051.444 3039.782 3039.782 3012.572 3000.910 2981.475 2480.027 2448.930 1935.820 1916.385 1916.385 1481.019 1449.922

mm 16940.236 15782.602 14061.439 13007.109 11922.046 9549.762 8835.354 8149.834 6289.141 5837.422 5336.600 44331.712 37512.548 30981.652 27596.500 24566.241 22889.807 21317.291 19927.128 18448.369 17000.089 15578.514 13531.624 12331.774 10631.945 9683.331 8972.881 7137.268 6374.146

mm 14244.395 13330.874 11818.030 10989.928 10149.497 8117.125 7567.394 7040.370 5456.907 5108.409 4715.703 36537.296 30936.081 25584.690 22819.895 20356.144 18998.476 17732.111 16620.694 15439.059 14297.000 13185.170 11413.090 10473.634 8966.872 8225.007 7682.314 6095.448 5503.750

mm 13551.007 12700.239 11240.993 10471.054 9692.884 7748.235 7240.013 6752.503 5240.269 4917.179 4551.051 34517.665 29232.760 24188.105 21584.855 19268.821 17994.292 16807.794 15769.040 14664.585 13601.754 12569.419 10868.204 9995.272 8538.616 7849.566 7349.153 5826.782 5277.987

mm 11424.256 10764.538 9471.183 8878.281 8287.525 6613.635 6229.218 5858.507 4565.094 4316.470 4028.392 28279.790 23974.714 19881.698 17780.305 15923.618 14907.508 13969.073 13155.536 12289.172 11469.271 10678.392 9196.216 8524.424 7224.525 6695.136 6320.737 4998.600 4577.118

mm 8095.321 7720.392 6702.105 6372.506 6053.013 4814.013 4605.554 4398.687 3452.462 3307.559 3129.736 18400.378 15663.421 13099.668 11806.158 10688.169 10085.225 9540.702 9080.799 8582.799 8130.894 7696.966 6571.141 6194.179 5161.491 4865.938 4669.868 3674.928 3433.775

KNm 499.432 456.161 431.675 394.566 351.529 299.799 269.661 239.716 213.655 190.524 166.503 1070.550 892.788 721.840 641.316 562.416 522.433 483.368 445.154 409.489 371.441 333.968 297.845 268.364 249.651 222.848 197.723 177.308 151.510

KNm 570.780 521.327 493.343 450.932 401.747 342.628 308.184 273.961 244.177 217.742 190.289 1223.486 1020.329 824.960 732.933 642.762 597.066 552.420 508.747 467.987 424.504 381.678 340.394 306.701 285.315 254.683 225.969 202.638 173.154

KNm 594.562 543.049 513.899 469.721 418.487 356.904 321.025 285.376 254.351 226.814 198.218 1274.465 1062.842 859.334 763.472 669.543 621.944 575.438 529.945 487.487 442.192 397.581 354.577 319.480 297.203 265.295 235.385 211.081 180.369

KNm 689.692 629.937 596.123 544.877 485.445 414.008 372.389 331.036 295.047 263.105 229.933 1478.379 1232.897 996.827 885.627 776.670 721.455 667.508 614.736 565.485 512.942 461.194 411.309 370.597 344.756 307.742 273.046 244.854 209.228

KNm 975.082 890.600 842.795 770.343 686.319 585.322 526.481 468.016 417.135 371.975 323.595 2090.122 1743.062 1409.307 1252.094 1098.051 1019.988 943.718 869.110 799.478 721.696 644.163 581.506 522.755 487.413 435.084 386.031 346.173 295.805

(*1) Lp = 1,76.ry.√(E/fy)

(*2) Lr = ry (x1/fL) √ (1+(√(1+x2.fL2))

(*3) Mn = Mp


Mn = Mr ( λr/λ )2

d2

Cb = 1,14 ( Beban Terbagi Merata ) Kuat Lentur Nominal Kondisi FLB Section Index 14" WF 14 x 12 14" WF 14 x 10 14" WF 14 x 8 14" WF 14 x 6-3/4

12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2


4

Mn (KNm) (*5)


BJ 37

BJ 41

BJ 50

BJ 55

KNm 195.789 176.970 139.430 126.754 112.519 75.547 67.344 59.462 42.546 37.479 32.408 491.189 408.871 330.879 294.299 258.202 239.458 220.986 203.044 187.458 169.639 152.070 111.929 100.602 73.498 65.405 57.843 41.007 34.784

KNm 223.759 202.251 159.348 144.862 128.594 86.339 76.964 67.956 48.624 42.833 37.038 561.359 467.281 378.147 336.342 295.088 273.667 252.555 232.051 214.238 193.874 173.794 127.919 114.974 83.998 74.749 66.106 46.865 39.754

KNm 233.083 210.678 165.988 150.898 133.952 89.936 80.171 70.788 50.650 44.618 38.581 584.749 486.751 393.903 350.356 307.383 285.069 263.079 241.719 223.165 201.952 181.035 133.249 119.764 87.498 77.863 68.860 48.817 41.410

KNm 270.376 244.386 192.546 175.041 155.384 104.326 92.998 82.114 58.754 51.757 44.754 678.309 564.631 456.928 406.413 356.565 330.680 305.171 280.395 258.871 234.264 210.001 154.568 138.927 101.497 90.322 79.878 56.628 48.035

KNm 382.256 345.512 272.220 247.472 219.681 147.496 131.480 116.092 83.066 73.173 62.323 958.988 798.271 646.002 574.584 504.109 467.514 431.449 396.420 365.990 325.530 283.753 218.528 194.767 143.496 127.696 112.931 80.061 67.912

(*4) Mn = Mp


BJ 34 L=3m 499.432 456.161 431.675 394.566 351.529 299.799 269.661 239.716 213.655 190.524 164.773 1070.550 892.788 721.840 641.316 562.416 522.433 483.368 445.154 409.489 371.441 333.968 297.845 268.364 249.651 222.848 197.723 177.308 151.510

L=5m 499.432 456.161 431.675 394.566 351.529 294.686 260.192 226.102 173.484 146.656 117.327 1070.550 892.788 721.840 641.316 562.416 522.433 483.368 445.154 409.489 371.441 333.968 297.845 268.364 249.651 220.300 192.333 154.676 125.081

Mn = Mr ( λr/λ )2

L=7m 499.432 456.161 425.403 382.149 333.108 254.605 220.271 186.673 123.624 98.681 73.383 1070.550 892.788 721.840 641.316 562.416 522.433 483.368 445.154 409.489 371.441 333.968 292.049 257.346 222.095 191.236 163.851 122.290 91.921

BJ 37 L=9m 483.471 435.168 388.118 344.617 295.758 214.524 179.308 144.365 90.514 71.460 52.311 1070.550 892.788 721.840 641.316 562.416 522.433 483.368 445.154 404.018 360.236 316.962 265.177 230.187 192.989 162.172 134.865 91.299 67.794

(*5) Mn = Mp

L=12m 430.174 382.802 332.190 288.320 239.049 156.763 127.905 102.048 64.899 50.763 36.644 1070.550 892.788 721.840 630.886 541.096 494.551 449.283 406.202 364.692 320.788 277.392 224.867 189.450 147.803 119.428 96.155 66.379 48.898

L=3m 570.780 521.327 493.343 450.932 401.747 342.628 308.184 273.961 244.177 215.649 182.616 1223.486 1020.329 824.960 732.933 642.762 597.066 552.420 508.747 467.987 424.504 381.678 340.394 306.701 285.315 254.683 225.969 202.638 173.154

L=5m 570.780 521.327 493.343 450.932 401.747 326.445 287.555 249.327 186.989 157.219 121.072 1223.486 1020.329 824.960 732.933 642.762 597.066 552.420 508.747 467.987 424.504 381.678 340.394 306.701 279.308 244.330 212.902 168.236 135.240

L=7m 570.780 521.327 471.720 422.586 367.277 275.545 237.256 200.142 123.624 98.681 73.383 1223.486 1020.329 824.960 732.933 642.762 597.066 552.420 508.747 467.987 424.504 381.678 323.663 284.308 242.099 207.453 177.070 122.550 91.921


L=9m 534.837 480.644 423.978 374.749 320.027 218.141 179.308 144.365 90.514 71.460 52.311 1223.486 1020.329 824.960 732.933 642.762 596.248 544.741 495.524 448.419 398.655 349.627 289.402 249.916 204.347 166.176 134.865 91.299 67.794

L=12m 466.731 414.152 350.029 295.566 239.049 156.763 127.905 102.048 64.899 50.763 36.644 1223.486 1020.329 807.588 701.372 598.970 545.722 494.003 445.127 397.998 348.270 299.371 233.788 191.134 147.803 119.428 96.155 66.379 48.898

Mn = Mcr ≤ Mp


d3



12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2

BJ 41 L=3m 594.562 543.049 513.899 469.721 418.487 356.904 321.025 285.376 254.351 222.717 188.413 1274.465 1062.842 859.334 763.472 669.543 621.944 575.438 529.945 487.487 442.192 397.581 354.577 319.480 297.203 265.295 235.385 211.081 180.369

L=5m 594.562 543.049 513.899 469.721 418.487 336.684 296.385 256.840 191.240 158.936 121.072 1274.465 1062.842 859.334 763.472 669.543 621.944 575.438 529.945 487.487 442.192 397.581 354.577 319.480 288.382 252.092 219.557 172.518 138.458

(*5) Mn = Mp

L=7m 594.562 542.824 486.611 435.575 378.263 282.079 242.562 200.491 123.624 98.681 73.383 1274.465 1062.842 859.334 763.472 669.543 621.944 575.438 529.945 487.487 442.192 396.056 333.844 292.992 248.373 212.541 181.233 122.550 91.921

BJ 50 L=9m 551.319 495.267 435.246 384.192 327.637 218.141 179.308 144.365 90.514 71.460 52.311 1274.465 1062.842 859.334 763.472 669.543 616.474 562.838 511.673 462.699 410.992 360.111 297.037 256.130 204.347 166.176 134.865 91.299 67.794

L=12m 478.094 423.932 350.029 295.566 239.049 156.763 127.905 102.048 64.899 50.763 36.644 1274.465 1062.842 834.637 723.987 617.419 561.955 508.114 457.358 408.419 356.829 306.194 233.788 191.134 147.803 119.428 96.155 66.379 48.898

L=3m 689.692 629.937 596.123 544.877 485.445 414.008 372.389 331.036 286.597 250.254 210.945 1478.379 1232.897 996.827 885.627 776.670 721.455 667.508 614.736 565.485 512.942 461.194 411.309 370.597 344.756 307.742 273.046 244.516 204.283


L=5m 689.692 629.937 596.123 544.877 484.935 376.139 330.480 285.944 195.550 158.936 121.072 1478.379 1232.897 996.827 885.627 776.670 721.455 667.508 614.736 565.485 512.942 461.194 411.309 370.597 323.371 282.068 245.333 187.987 143.595

L=7m 677.424 612.316 543.737 485.399 420.494 297.117 246.409 200.491 123.624 98.681 73.383 1478.379 1232.897 996.827 885.627 776.670 721.455 667.508 614.736 564.416 504.845 446.314 373.006 326.440 271.744 226.317 185.442 122.550 91.921

BJ 55 L=9m 614.427 551.470 477.279 416.577 340.137 218.141 179.308 144.365 90.514 71.460 52.311 1478.379 1232.897 996.827 882.026 758.399 694.458 632.429 573.678 517.467 458.275 400.324 325.668 271.412 204.347 166.176 134.865 91.299 67.794

L=12m 507.717 436.447 350.029 295.566 239.049 156.763 127.905 102.048 64.899 50.763 36.644 1478.379 1204.862 938.430 810.152 687.163 622.973 560.832 502.867 447.043 379.540 313.420 233.788 191.134 147.803 119.428 96.155 66.379 48.898

L=3m 975.082 890.600 842.795 770.343 686.319 585.322 526.481 468.016 376.221 327.220 273.385 2090.122 1743.062 1409.307 1252.094 1098.051 1019.988 943.718 869.110 799.478 725.194 652.033 581.506 523.948 487.413 435.084 386.031 323.292 269.314

L=5m 975.082 890.600 812.413 732.238 642.709 467.789 393.773 325.798 195.550 158.936 121.072 2090.122 1743.062 1409.307 1252.094 1098.051 1019.988 943.718 869.110 799.478 725.194 652.033 560.181 496.389 418.252 356.265 296.625 187.987 143.595

L=7m 891.537 806.548 672.428 576.067 475.446 297.117 246.409 200.491 123.624 98.681 73.383 2090.122 1743.062 1409.307 1252.094 1079.606 990.400 904.219 823.108 746.036 665.092 586.273 454.729 378.528 276.110 226.317 185.442 122.550 91.921

L=9m 724.224 626.578 490.066 416.577 340.137 218.141 179.308 144.365 90.514 71.460 52.311 2090.122 1718.284 1343.135 1163.389 991.967 903.083 817.547 738.427 641.154 541.816 452.003 329.194 271.412 204.347 166.176 134.865 91.299 67.794

L=12m 507.717 436.447 350.029 295.566 239.049 156.763 127.905 102.048 64.899 50.763 36.644 1971.499 1580.192 1208.676 1018.342 805.385 702.835 608.428 526.273 452.899 379.540 313.420 233.788 191.134 147.803 119.428 96.155 66.379 48.898


d4



12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2

BJ 34 L=3m 462.76 479.38 461.17 428.89 387.48 379.69 348.11 315.48 333.51 305.86 287.43 938.95 803.90 669.95 628.87 549.55 514.51 483.95 439.61 416.16 381.02 346.15 318.81 305.45 329.30 297.43 260.51 276.90 240.30

L=5m 462.76 479.38 461.17 428.89 387.48 379.69 348.11 315.48 333.51 305.86 287.43 938.95 803.90 669.95 628.87 549.55 514.51 483.95 439.61 416.16 381.02 346.15 318.81 305.45 329.30 297.43 260.51 276.90 240.30

*1 Vn = 0.6 fy Aw

L=7m 462.76 479.38 461.17 428.89 387.48 379.69 348.11 315.48 333.51 305.86 287.43 938.95 803.90 669.95 628.87 549.55 514.51 483.95 439.61 416.16 381.02 346.15 318.81 305.45 329.30 297.43 260.51 276.90 240.30

BJ 37 L=9m 462.76 479.38 461.17 428.89 387.48 379.69 348.11 315.48 333.51 305.86 287.43 938.95 803.90 669.95 628.87 549.55 514.51 483.95 439.61 416.16 381.02 346.15 318.81 305.45 329.30 297.43 260.51 276.90 240.30

L=12m 462.76 479.38 461.17 428.89 387.48 379.69 348.11 315.48 333.51 305.86 287.43 938.95 803.90 669.95 628.87 549.55 514.51 483.95 439.61 416.16 381.02 346.15 318.81 305.45 329.30 297.43 260.51 276.90 240.30


L=3m L=5m L=7m L=9m 528.87 528.87 528.87 528.87 547.86 547.86 547.86 547.86 527.06 527.06 527.06 527.06 490.16 490.16 490.16 490.16 442.84 442.84 442.84 442.84 433.94 433.94 433.94 433.94 397.84 397.84 397.84 397.84 360.55 360.55 360.55 360.55 381.15 381.15 381.15 381.15 349.55 349.55 349.55 349.55 328.50 328.50 328.50 328.50 1073.09 1073.09 1073.09 1073.09 918.75 918.75 918.75 918.75 765.66 765.66 765.66 765.66 718.71 718.71 718.71 718.71 628.05 628.05 628.05 628.05 588.02 588.02 588.02 588.02 553.09 553.09 553.09 553.09 502.41 502.41 502.41 502.41 475.61 475.61 475.61 475.61 435.45 435.45 435.45 435.45 395.60 395.60 395.60 395.60 364.36 364.36 364.36 364.36 349.09 349.09 349.09 349.09 376.34 376.34 376.34 376.34 339.93 339.93 339.93 339.93 297.73 297.73 297.73 297.73 316.45 316.45 316.45 316.45 274.63 274.63 274.63 274.63

BJ 41 L=12m L=3m L=5m L=7m L=9m 528.87 550.91 550.91 550.91 550.91 547.86 570.69 570.69 570.69 570.69 527.06 549.02 549.02 549.02 549.02 490.16 510.59 510.59 510.59 510.59 442.84 461.29 461.29 461.29 461.29 433.94 452.02 452.02 452.02 452.02 397.84 414.42 414.42 414.42 414.42 360.55 375.57 375.57 375.57 375.57 381.15 397.03 397.03 397.03 397.03 349.55 364.11 364.11 364.11 364.11 328.50 342.18 342.18 342.18 342.18 1073.09 1117.80 1117.80 1117.80 1117.80 918.75 957.03 957.03 957.03 957.03 765.66 797.56 797.56 797.56 797.56 718.71 748.66 748.66 748.66 748.66 628.05 654.22 654.22 654.22 654.22 588.02 612.52 612.52 612.52 612.52 553.09 576.13 576.13 576.13 576.13 502.41 523.34 523.34 523.34 523.34 475.61 495.43 495.43 495.43 495.43 435.45 453.59 453.59 453.59 453.59 395.60 412.09 412.09 412.09 412.09 364.36 379.54 379.54 379.54 379.54 349.09 363.64 363.64 363.64 363.64 376.34 392.02 392.02 392.02 392.02 339.93 354.09 354.09 354.09 354.09 297.73 310.13 310.13 310.13 310.13 316.45 329.64 329.64 329.64 329.64 274.63 286.07 286.07 286.07 286.07

BJ 50 L=12m L=3m 550.91 639.05 570.69 662.00 549.02 636.86 510.59 592.28 461.29 535.10 452.02 524.34 414.42 480.72 375.57 435.66 397.03 460.56 364.11 422.37 342.18 396.93 1117.80 1296.65 957.03 1110.15 797.56 925.17 748.66 868.45 654.22 758.90 612.52 710.52 576.13 668.31 523.34 607.07 495.43 574.69 453.59 526.17 412.09 478.02 379.54 440.26 363.64 421.82 392.02 454.75 354.09 410.74 310.13 359.75 329.64 382.38 286.07 331.84

L=5m 639.05 662.00 636.86 592.28 535.10 524.34 480.72 435.66 460.56 422.37 396.93 1296.65 1110.15 925.17 868.45 758.90 710.52 668.31 607.07 574.69 526.17 478.02 440.26 421.82 454.75 410.74 359.75 382.38 331.84

L=7m 639.05 662.00 636.86 592.28 535.10 524.34 480.72 435.66 460.56 422.37 396.93 1296.65 1110.15 925.17 868.45 758.90 710.52 668.31 607.07 574.69 526.17 478.02 440.26 421.82 454.75 410.74 359.75 382.38 331.84

L=9m 639.05 662.00 636.86 592.28 535.10 524.34 480.72 435.66 460.56 422.37 396.93 1296.65 1110.15 925.17 868.45 758.90 710.52 668.31 607.07 574.69 526.17 478.02 440.26 421.82 454.75 410.74 359.75 382.38 331.84

L=12m 639.05 662.00 636.86 592.28 535.10 524.34 480.72 435.66 460.56 422.37 396.93 1296.65 1110.15 925.17 868.45 758.90 710.52 668.31 607.07 574.69 526.17 478.02 440.26 421.82 454.75 410.74 359.75 382.38 331.84

Vn = (0.9 Aw Kn E)/(h/tw)2

d5

Kuat Geser Nominal


Section

Vn (KN) *1


Index

BJ 55

14" WF 14 x 12 14" WF 14 x 10 14" WF 14 x 8 14" WF 14 x 6-3/4

12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2

L=3m 903.48 935.92 900.39 837.36 756.51 741.31 679.64 615.94 651.13 597.15 561.18 1833.19 1569.53 1308.00 1227.80 1072.93 1004.53 944.86 858.28 812.50 743.90 675.82 622.44 596.36 642.92 580.71 508.62 540.61 469.16

L=5m 903.48 935.92 900.39 837.36 756.51 741.31 679.64 615.94 651.13 597.15 561.18 1833.19 1569.53 1308.00 1227.80 1072.93 1004.53 944.86 858.28 812.50 743.90 675.82 622.44 596.36 642.92 580.71 508.62 540.61 469.16

*1 Vn = 0.6 fy Aw

L=7m 903.48 935.92 900.39 837.36 756.51 741.31 679.64 615.94 651.13 597.15 561.18 1833.19 1569.53 1308.00 1227.80 1072.93 1004.53 944.86 858.28 812.50 743.90 675.82 622.44 596.36 642.92 580.71 508.62 540.61 469.16

BJ 34 L=9m 903.48 935.92 900.39 837.36 756.51 741.31 679.64 615.94 651.13 597.15 561.18 1833.19 1569.53 1308.00 1227.80 1072.93 1004.53 944.86 858.28 812.50 743.90 675.82 622.44 596.36 642.92 580.71 508.62 540.61 469.16

L=12m 903.48 935.92 900.39 837.36 756.51 741.31 679.64 615.94 651.13 597.15 561.18 1833.19 1569.53 1308.00 1227.80 1072.93 1004.53 944.86 858.28 812.50 743.90 675.82 622.44 596.36 642.92 580.71 508.62 540.61 469.16


L=3m 3237.331 3002.899 2755.514 2529.412 2266.511 1861.322 1682.218 1503.158 1228.977 1092.339 948.172 7405.479 6269.238 5164.035 4653.502 4106.122 3826.893 3556.353 3283.414 3048.256 2774.927 2504.159 2166.917 1974.393 1765.190 1584.276 1408.039 1167.997 997.415

L=5m 2900.693 2688.581 2393.182 2193.522 1964.188 1527.549 1375.810 1226.628 919.866 809.623 690.677 6697.699 5656.123 4651.712 4188.967 3693.357 3439.529 3196.687 2951.351 2735.478 2490.443 2243.761 1885.889 1714.773 1456.798 1303.343 1158.358 877.248 741.622

L=7m 2565.057 2374.332 2031.978 1858.025 1660.766 1191.540 1071.789 946.740 518.749 447.030 366.592 5987.658 5046.934 4142.533 3722.802 3280.435 3050.851 2833.539 2616.074 2421.709 2203.305 1984.138 1606.741 1455.961 1146.663 1021.880 908.205 499.321 411.943

BJ 37 L=9m 2227.146 2058.278 1670.482 1522.766 1359.653 729.741 651.940 572.632 313.803 270.427 221.762 5281.507 4436.558 3631.460 3258.719 2866.486 2663.311 2470.755 2281.132 2108.445 1914.830 1722.754 1325.745 1196.941 716.871 632.314 561.974 302.037 249.203

Vn = (0.9 Aw Kn E)/(h/tw)2

L=12m 1606.431 1472.114 954.947 863.426 767.072 410.513 366.795 322.181 176.520 152.127 124.737 4216.379 3463.088 2786.746 2467.466 2151.598 1981.999 1829.869 1689.432 1542.059 1394.043 1242.615 767.821 684.243 403.319 355.657 316.093 169.890 140.179

L=3m 3660.861 3395.793 3108.487 2850.829 2554.554 2088.581 1884.383 1685.370 1368.987 1215.071 1053.478 8381.395 7088.696 5839.151 5261.983 4643.077 4327.378 4025.360 3716.427 3446.980 3137.931 2831.770 2442.144 2227.306 1982.245 1777.624 1579.879 1299.921 1110.307

L=5m 3250.297 3010.169 2665.823 2439.716 2184.736 1678.999 1513.514 1347.832 989.931 869.663 718.419 7514.857 6341.227 5215.504 4696.907 4141.338 3853.550 3581.538 3306.667 3064.962 2788.085 2514.189 2100.477 1910.127 1602.815 1434.290 1274.738 944.784 797.288

L=7m 2837.982 2625.277 2222.691 2031.496 1814.902 1206.446 1077.853 946.659 518.666 447.076 366.575 6648.424 5596.339 4594.234 4126.189 3633.409 3379.445 3136.527 2895.808 2680.984 2437.500 2195.252 1758.084 1592.612 1185.478 1045.048 928.795 499.185 411.879

L=9m 2425.872 2239.596 1697.531 1534.572 1363.683 729.702 651.940 572.632 313.834 270.452 221.749 5781.818 4849.174 3968.021 3557.059 3129.488 2906.323 2696.525 2489.575 2297.252 2087.954 1876.474 1365.581 1216.322 717.072 632.349 562.005 302.018 249.219

L=12m 1606.551 1472.332 954.899 863.297 767.072 410.525 366.751 322.171 176.526 152.119 124.735 4214.178 3462.796 2787.204 2466.870 2152.111 1982.310 1829.869 1689.432 1541.350 1394.043 1242.709 767.861 684.208 403.293 355.679 316.113 169.887 140.174

*2 Nn = A . fy / ω

d6




12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2

BJ 41 L=3m 3802.481 3527.169 3223.140 2956.004 2648.810 2162.511 1951.115 1745.081 1412.618 1253.888 1087.289 8696.911 7362.717 6064.904 5465.451 4822.627 4494.732 4177.033 3856.459 3576.886 3259.312 2941.317 2534.530 2309.458 2052.336 1840.517 1635.776 1343.430 1145.752

L=5m 3362.869 3114.478 2750.784 2519.531 2254.482 1727.335 1556.088 1385.870 1010.937 876.359 718.533 7780.656 6565.722 5400.257 4863.365 4284.497 3990.221 3705.433 3421.053 3171.041 2887.056 2601.266 2169.031 1971.003 1649.861 1475.466 1311.334 964.689 807.138

L=7m 2923.698 2706.657 2282.185 2084.680 1863.724 1206.235 1077.561 946.636 518.705 446.985 366.570 6862.148 5776.644 4738.918 4256.353 3748.137 3483.667 3235.730 2987.398 2763.838 2512.887 2261.555 1806.102 1635.241 1184.769 1045.288 929.009 499.269 411.909

BJ 50 L=9m 2487.516 2296.710 1697.703 1534.801 1363.583 729.779 652.096 572.632 313.819 270.440 221.745 5939.354 4982.073 4074.612 3652.983 3209.955 2981.258 2764.408 2552.248 2355.346 2139.498 1924.157 1365.158 1216.445 717.038 632.358 562.014 302.012 249.205

L=12m 1606.855 1472.637 954.777 863.454 766.987 410.528 366.788 322.148 176.521 152.123 124.739 4212.741 3462.061 2787.845 2466.703 2151.872 1982.049 1829.230 1688.842 1541.945 1394.280 1242.944 767.782 684.121 403.315 355.685 316.118 169.879 140.184

L=3m 4352.731 4033.835 3674.729 3370.270 3017.356 2449.538 2210.218 1975.292 1585.216 1405.334 1215.646 9972.901 8435.109 6948.433 6255.871 5520.151 5144.896 4781.303 4414.353 4098.302 3730.914 3366.949 2889.502 2633.032 2326.374 2086.436 1854.339 1507.382 1285.004

L=5m 3804.609 3523.810 3086.884 2825.529 2530.392 1905.552 1715.865 1527.695 1016.851 876.112 718.517 8819.916 7443.577 6117.642 5505.167 4850.208 4513.516 4195.029 3873.074 3587.283 3263.397 2942.963 2435.469 2211.827 1823.791 1630.415 1449.045 978.728 807.195

L=7m 3255.352 3009.818 2500.983 2282.489 2038.457 1206.160 1077.693 946.560 518.834 447.087 366.554 7668.085 6452.183 5290.456 4749.245 4179.656 3885.296 3606.410 3329.630 3076.629 2799.505 2518.099 1980.707 1792.015 1184.973 1044.979 928.734 499.231 411.884

BJ 55 L=9m 2708.026 2499.709 1697.384 1534.769 1363.250 729.806 652.007 572.632 313.831 270.450 221.770 6520.025 5462.292 4461.402 3994.075 3508.599 3253.616 3017.521 2785.936 2569.012 2332.646 2094.728 1365.216 1216.217 716.926 632.189 561.863 301.994 249.207

L=12m 1606.464 1472.384 954.934 863.474 766.926 410.468 366.782 322.124 176.522 152.120 124.741 4214.355 3463.008 2787.314 2467.302 2152.070 1982.085 1829.593 1689.178 1541.863 1393.838 1242.641 767.986 684.233 403.312 355.642 316.080 169.890 140.173

L=3m L=5m 5930.490 5007.969 5496.377 4635.600 4958.140 3972.671 4547.721 3632.555 4071.845 3246.886 3245.161 2332.919 2928.571 2096.067 2613.750 1856.089 2040.097 1016.715 1803.888 876.388 1551.499 718.488 13631.365 11699.446 11530.543 9861.290 9481.485 8094.131 8545.105 7279.657 7540.402 6409.635 7021.624 5965.659 6525.615 5536.427 6024.795 5111.524 5588.535 4731.741 5087.727 4301.691 4587.387 3873.793 3904.931 3139.152 3552.627 2846.515 3085.567 2242.594 2765.719 1999.657 2458.057 1777.213 1941.956 978.698 1650.103 807.300

L=7m 4092.298 3778.331 2806.289 2536.691 2253.539 1206.464 1077.934 946.756 518.728 447.084 366.596 9766.292 8191.961 6704.018 6010.167 5281.178 4904.844 4548.030 4198.983 3877.399 3522.026 3165.498 2257.050 2010.774 1185.347 1045.194 928.925 499.273 411.927

L=9m 2857.005 2618.339 1697.427 1534.712 1363.622 729.856 651.988 572.754 313.811 270.433 221.764 7491.204 6155.285 4955.353 4384.883 3825.716 3524.076 3252.061 3002.476 2740.346 2477.698 2209.967 1365.323 1216.248 716.886 632.307 561.968 302.001 249.210

L=12m 1606.736 1472.369 954.825 863.510 766.968 410.510 366.773 322.157 176.523 152.125 124.735 4212.801 3462.348 2787.282 2466.768 2151.731 1982.151 1829.674 1689.252 1541.713 1393.898 1242.852 767.867 684.155 403.254 355.653 316.089 169.882 140.173

*2 Nn = A . fy / ω 3 5 7 9 12

d7



12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2

BJ 34 L=3m 3334.064 3092.537 2856.977 2622.459 2349.807 1956.111 1766.174 1580.812 1316.609 1171.713 1020.359 7568.400 6419.700 5308.918 4783.800 4220.979 3937.762 3659.281 3378.443 3136.391 2857.926 2578.984 2244.757 2047.093 1852.138 1663.636 1478.571 1250.480 1070.017

L=5m 3059.781 2835.766 2563.826 2351.563 2105.459 1683.347 1519.078 1356.770 1064.768 941.933 811.429 7027.298 5944.167 4892.244 4404.972 3887.029 3622.886 3366.942 3108.540 2880.769 2625.000 2366.819 2017.539 1837.043 1602.010 1434.720 1275.120 1013.640 861.689

L=7m 2784.859 2581.395 2269.746 2077.454 1858.990 1411.222 1271.457 1131.836 786.035 677.250 555.437 6452.174 5449.660 4478.698 4030.160 3550.588 3306.795 3070.854 2835.176 2625.876 2390.742 2154.160 1789.551 1626.328 1350.203 1206.864 1072.611 756.388 624.030

BJ 37 L=9m 2511.178 2324.607 1976.139 1806.000 1614.419 1105.350 987.597 867.646 475.385 409.679 335.882 5876.087 4949.653 4063.113 3651.756 3215.525 2990.668 2775.625 2562.604 2372.398 2156.885 1942.461 1562.230 1415.952 1086.049 957.757 851.215 457.512 377.470

L=12m 2100.000 1940.075 1446.180 1307.906 1161.841 621.810 555.523 488.031 267.391 230.406 188.958 5015.507 4204.126 3440.455 3084.333 2711.938 2517.050 2335.414 2156.178 1989.753 1807.377 1624.404 1163.321 1036.223 610.851 538.761 478.828 257.331 212.347

L=3m 3780.237 3506.417 3230.681 2965.517 2657.225 2202.920 1990.884 1780.364 1475.192 1311.864 1141.709 8623.729 7300.299 6013.108 5423.810 4785.728 4460.198 4148.911 3830.495 3556.083 3237.154 2924.111 2538.329 2314.861 2087.626 1875.206 1666.606 1401.026 1197.963

L=5m 3443.384 3191.375 2872.634 2632.653 2357.216 1871.628 1687.790 1505.304 1167.611 1031.312 885.770 7920.879 6694.161 5509.736 4961.162 4373.913 4076.742 3788.788 3498.011 3244.765 2954.013 2663.546 2260.393 2058.312 1779.375 1595.019 1417.588 1111.322 943.316

L=7m 3107.717 2878.444 2512.752 2298.441 2056.889 1538.815 1385.787 1232.473 785.653 677.091 555.275 7220.033 6088.631 5000.165 4499.753 3967.790 3692.459 3429.133 3165.957 2932.463 2667.752 2403.899 1983.784 1800.447 1474.175 1315.533 1169.191 756.263 624.080

BJ 41 L=9m 2772.174 2564.621 2153.099 1966.963 1757.468 1105.621 987.677 867.508 475.385 409.659 335.867 6513.253 5483.408 4495.323 4040.798 3553.201 3305.062 3069.890 2834.286 2620.408 2382.545 2144.348 1704.774 1542.748 1085.864 957.757 851.215 457.558 377.452

L=12m 2271.734 2095.575 1446.180 1307.709 1161.841 621.867 555.548 487.923 267.398 230.443 188.940 5460.606 4571.215 3735.472 3345.900 2939.014 2726.877 2528.908 2334.822 2152.814 1955.821 1757.245 1163.412 1036.223 610.821 538.660 478.739 257.331 212.330

L=3m 3926.108 3641.732 3355.641 3077.290 2757.388 2284.287 2064.428 1846.154 1526.249 1357.323 1181.364 8956.262 7581.845 6251.239 5633.037 4970.356 4636.858 4308.983 3978.282 3693.294 3365.385 3036.946 2636.494 2404.398 2164.690 1944.444 1728.142 1449.491 1239.460

L=5m 3567.592 3306.524 2972.058 2723.818 2438.870 1931.644 1741.960 1553.694 1199.268 1059.461 909.091 8213.309 6941.417 5713.315 5144.535 4535.618 4227.477 3925.360 3624.101 3361.759 3060.538 2759.624 2340.561 2129.551 1839.147 1646.106 1462.992 1142.140 969.018

L=7m 3211.120 2974.277 2590.406 2371.324 2120.601 1577.792 1420.100 1262.376 785.831 677.165 555.230 7464.789 6295.305 5170.082 4652.778 4099.430 3818.145 3543.019 3271.104 3029.935 2758.690 2483.884 2043.430 1856.089 1512.110 1349.558 1199.431 756.368 623.873

L=9m 2856.631 2642.857 2208.936 2016.886 1802.181 1105.495 987.520 867.624 475.437 409.654 335.896 6718.867 5648.559 4634.460 4163.012 3663.511 3405.298 3163.043 2920.290 2700.072 2455.036 2209.677 1748.729 1582.756 1085.812 957.936 851.374 457.468 377.528

L=12m 2322.261 2142.444 1446.677 1307.653 1161.647 621.755 555.556 488.038 267.384 230.439 188.955 5592.800 4682.904 3827.367 3426.594 3010.174 2793.155 2587.433 2388.856 2201.646 2000.293 1796.329 1163.233 1036.579 610.879 538.801 478.864 257.347 212.351

*2 Nn = A . fy / ω

d8




12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2


BJ 50 L=3m 4505.458 4179.163 3841.132 3522.599 3156.444 2602.498 2349.955 2101.599 1726.590 1534.454 1333.765 10297.143 8708.546 7180.275 6470.323 5709.198 5320.919 4949.560 4569.697 4238.244 3861.951 3485.088 3017.864 2752.264 2466.039 2215.206 1968.784 1641.011 1401.150

L=5m 4058.472 3761.613 3362.180 3081.549 2759.293 2161.037 1949.040 1737.445 1318.348 1161.801 994.086 9356.849 7901.337 6503.733 5856.560 5163.540 4808.569 4469.020 4126.037 3827.489 3484.595 3139.333 2649.710 2409.083 2059.955 1844.080 1638.943 1256.789 1064.419

L=7m 3614.230 3345.284 2885.613 2640.085 2359.564 1719.151 1546.893 1373.418 785.683 677.104 555.314 8421.918 7103.606 5830.040 5243.016 4619.794 4296.212 3993.218 3686.751 3412.569 3104.706 2795.700 2280.643 2067.612 1651.921 1472.414 1308.621 756.353 624.044

BJ 55 L=9m 3170.508 2929.693 2407.806 2196.712 1962.164 1105.599 987.927 867.608 475.340 409.636 335.906 7492.186 6296.378 5159.873 4629.432 4074.581 3787.961 3513.810 3244.136 2998.068 2726.240 2452.469 1910.772 1725.251 1086.177 957.603 851.078 457.436 377.465

L=12m 2434.549 2231.059 1446.394 1308.042 1162.009 621.881 555.579 488.043 267.379 230.428 188.953 6087.129 5089.150 4152.497 3711.348 3256.027 3001.130 2770.670 2558.030 2335.591 2111.200 1883.186 1163.169 1036.377 610.899 538.684 478.760 257.317 212.321

L=3m 6188.826 5740.776 5237.853 4803.815 4304.628 3501.358 3161.864 2825.676 2279.183 2020.244 1749.662 14180.806 11993.971 9879.943 8903.527 7856.381 7322.265 6804.753 6282.510 5827.135 5309.772 4787.216 4118.704 3753.048 3325.556 2982.453 2650.681 2165.739 1847.356

L=5m 5441.632 5039.867 4438.242 4062.212 3635.019 2758.930 2485.676 2212.698 1540.638 1327.227 1088.224 12607.850 10639.813 8751.523 7875.042 6937.931 6456.124 6000.503 5539.983 5135.284 4671.536 4209.242 3499.302 3180.108 2637.898 2359.434 2096.968 1482.621 1222.980

L=7m 4694.971 4340.486 3634.091 3318.068 2964.813 1827.065 1632.823 1434.341 785.936 677.209 555.303 11035.400 9284.222 7611.700 6842.344 6021.314 5600.946 5194.920 4796.226 4437.717 4034.968 3631.681 2877.055 2603.914 1795.110 1583.448 1407.304 756.327 623.953

BJ 34 L=9m 3946.498 3644.444 2571.256 2324.835 2065.846 1105.420 987.690 867.579 475.353 409.682 335.925 9465.983 7932.722 6485.455 5808.333 5104.703 4738.732 4394.475 4057.213 3740.438 3397.996 3052.717 2068.316 1842.367 1086.085 957.648 851.118 457.472 377.499

L=12m 2434.041 2230.882 1446.332 1307.944 1161.960 621.877 555.622 487.964 267.399 230.432 188.949 6382.894 5244.226 4222.163 3737.789 3258.943 3001.736 2771.965 2559.226 2335.285 2111.887 1882.793 1163.053 1036.332 610.936 538.781 478.846 257.351 212.335

L=3m 3113.860 2885.794 2620.800 2403.727 2152.081 1735.908 1566.393 1400.000 1113.309 986.526 852.000 7140.000 6039.229 4970.263 4479.213 3952.479 3683.832 3423.529 3160.784 2931.780 2668.994 2408.651 2060.695 1877.867 1649.752 1478.483 1314.015 1059.306 901.314

L=5m 2690.836 2492.382 2167.941 1984.615 1774.799 1317.904 1186.220 1055.172 650.876 560.870 459.875 6254.876 5275.021 4335.761 3898.778 3435.122 3196.837 2971.313 2743.274 2538.983 2309.831 2081.431 1711.399 1553.382 1262.128 1127.925 1002.453 626.332 516.653

L=7m 2269.424 2097.166 1716.182 1564.991 1397.182 772.079 689.892 605.780 332.039 286.137 234.630 5367.660 4511.384 3697.348 3317.476 2917.956 2710.935 2516.541 2323.404 2145.839 1951.327 1755.458 1360.859 1229.686 758.478 668.867 594.462 319.532 263.635

L=9m 1827.932 1675.472 1086.467 982.412 872.815 467.002 417.363 366.545 200.842 173.071 141.916 4483.649 3747.636 3059.065 2735.163 2402.047 2225.692 2063.365 1905.008 1754.490 1585.892 1413.952 873.727 778.480 458.797 404.602 359.594 193.302 159.483

L=12m 1028.387 942.532 611.067 552.575 490.848 262.720 234.731 206.178 112.971 97.358 79.833 2696.980 2215.600 1783.939 1578.812 1376.847 1268.447 1170.970 1081.102 986.531 892.296 795.484 491.413 437.845 258.106 227.625 202.304 108.721 89.714

*2 Nn = A . fy / ω

d9




12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2

BJ 37 L=3m 3506.508 3252.747 2940.314 2696.864 2414.609 1934.615 1745.803 1559.236 1226.364 1084.793 934.979 8053.631 6812.256 5606.667 5052.865 4454.613 4151.889 3858.564 3562.431 3304.412 3008.264 2712.374 2315.863 2106.806 1839.742 1648.914 1465.487 1167.521 992.405

L=5m 2991.087 2768.511 2388.094 2184.898 1954.117 1422.746 1280.188 1136.622 650.832 560.870 459.764 6975.484 5878.846 4824.861 4342.494 3823.278 3558.294 3304.732 3051.104 2824.195 2569.412 2313.683 1887.429 1711.127 1367.107 1220.000 1084.286 626.246 516.686

L=7m 2477.720 2288.660 1795.923 1624.131 1442.494 771.990 689.775 605.847 331.971 286.137 234.630 5892.098 4947.269 4047.594 3630.279 3191.540 2965.635 2751.412 2540.250 2345.205 2130.039 1916.580 1443.934 1286.822 758.568 668.984 594.565 319.532 263.652

BJ 41 L=9m 1828.244 1675.472 1086.530 982.467 872.522 467.115 417.292 366.570 200.830 173.082 141.926 4795.343 3939.221 3172.338 2807.291 2448.061 2255.219 2082.186 1922.385 1753.756 1586.441 1414.194 873.882 778.525 458.847 404.659 359.645 193.302 159.480

L=12m 1028.387 942.488 611.127 552.610 490.926 262.720 234.744 206.174 112.969 97.358 79.830 2696.680 2215.719 1784.221 1578.975 1377.198 1268.511 1170.912 1081.048 986.676 892.035 795.484 491.495 437.887 258.085 227.607 202.288 108.727 89.714

L=3m 3635.949 3372.835 3046.875 2792.208 2500.000 1999.205 1804.124 1610.103 1262.255 1116.690 961.408 8358.071 7063.309 5818.727 5239.190 4623.162 4305.046 4000.917 3693.859 3426.349 3119.287 2812.500 2397.648 2183.160 1901.042 1703.911 1514.366 1201.619 1021.543

L=5m 3089.147 2861.562 2457.983 2248.954 2010.076 1455.440 1308.976 1162.393 650.722 560.870 459.919 7208.000 6075.119 4986.166 4484.252 3951.296 3674.628 3410.156 3148.438 2916.667 2653.577 2389.535 1942.484 1761.204 1398.055 1247.808 1109.001 626.318 516.696

L=7m 2541.454 2347.716 1795.396 1623.663 1442.643 772.064 689.917 605.791 332.029 286.094 234.614 6055.108 5081.449 4157.877 3727.094 3279.009 3043.126 2825.243 2608.414 2406.812 2187.500 1965.880 1443.934 1286.445 758.593 669.017 594.595 319.532 263.618

BJ 50 L=9m 1827.982 1675.156 1086.267 982.483 872.549 467.038 417.335 366.494 200.836 173.085 141.929 4792.553 3939.433 3171.590 2807.147 2447.689 2254.655 2081.049 1921.335 1754.098 1586.287 1413.991 873.810 778.337 458.787 404.643 359.630 193.293 159.479

L=12m 1028.387 942.375 611.099 552.581 490.878 262.732 234.748 206.165 112.974 97.358 79.831 2696.596 2216.020 1784.300 1578.656 1377.139 1268.243 1171.026 1081.154 986.825 892.157 795.484 491.408 437.867 258.091 227.612 202.292 108.723 89.709

L=3m 4145.830 3842.435 3456.367 3164.975 2833.868 2245.881 2025.326 1807.792 1396.727 1233.839 1058.612 9536.131 8059.364 6633.454 5978.462 5270.822 4908.296 4561.622 4211.532 3906.655 3556.604 3206.906 2719.676 2476.570 2138.384 1915.391 1702.320 1331.116 1129.272

L=5m 3460.030 3202.985 2719.840 2485.714 2223.526 1513.567 1352.466 1187.654 650.611 560.870 459.791 8102.016 6824.711 5598.087 5031.379 4430.372 4120.590 3827.211 3533.485 3268.774 2974.080 2676.422 2151.550 1948.831 1486.617 1311.238 1165.374 626.308 516.727

L=7m 2776.336 2563.919 1795.634 1623.874 1442.364 772.054 689.935 605.798 332.021 286.119 234.602 6665.561 5582.683 4564.379 4087.995 3592.857 3333.313 3091.209 2853.968 2631.254 2390.399 2147.568 1443.934 1286.615 758.415 668.899 594.490 319.532 263.657

L=9m 1828.018 1675.744 1086.484 982.534 872.640 467.064 417.316 366.529 200.831 173.074 141.924 4794.312 3940.133 3170.834 2806.670 2447.740 2255.122 2081.562 1921.809 1754.346 1585.779 1414.019 873.570 778.492 458.875 404.673 359.657 193.286 159.495

L=12m 1028.387 942.261 611.122 552.585 490.900 262.710 234.734 206.177 112.976 97.358 79.830 2696.317 2215.633 1784.017 1579.014 1376.944 1268.465 1170.728 1080.879 986.758 892.056 795.484 491.499 437.884 258.110 227.629 202.307 108.725 89.712

*2 Nn = A . fy / ω

d 10



Section


Index

BJ 55

Komponen Tak Bergoyang Ncrb ( KN ) *3 kc = 0.8 ( jepit - sendi ) kc = 0.65 ( jepit - jepit )

L=3m L=5m L=7m 14" WF 5585.812 4433.786 3022.150 14 x 12 5177.474 4100.000 2769.196 4590.431 3354.545 1796.069 14" WF 4204.293 3060.764 1624.261 14 x 10 3761.856 2730.973 1442.402 14" WF 2902.604 1513.615 772.036 14 x 8 2616.410 1351.812 689.808 2331.429 1187.436 605.950 1722.669 650.765 332.006 14" WF 560.721 286.124 14 x 6-3/4 1515.473 1276.929 459.783 234.610 12916.434 10494.602 7923.003 10898.870 8820.338 6511.013 8963.865 7228.721 5244.259 8072.429 6485.972 4640.894 12" WF 7117.515 5704.841 4046.205 6622.806 5300.069 3726.731 12 x 12 6155.288 4920.000 3441.635 5682.889 4542.405 3177.500 5267.410 4195.219 2898.785 4791.524 3814.928 2621.311 4320.769 3429.647 2337.711 12" WF 3617.067 2663.186 1444.512 12 x 10 3289.155 2403.613 1286.927 2771.296 1486.495 758.460 12" WF 2479.745 1311.386 668.844 12 x 8 2203.895 1165.506 594.441 12" WF 1644.334 626.290 319.532 12 x 6-1/2 1387.910 516.785 263.656 *2 Nn = A . fy / ω

L=9m 1828.084 1675.086 1086.369 982.401 872.605 467.046 417.338 366.541 200.839 173.084 141.924 4793.642 3939.866 3171.882 2806.852 2447.834 2255.150 2081.745 1921.977 1754.174 1585.972 1414.070 873.767 778.410 458.833 404.669 359.653 193.291 159.484

L=12m 1028.387 942.419 611.083 552.592 490.876 262.713 234.746 206.169 112.974 97.358 79.832 2696.423 2215.903 1783.884 1579.003 1376.875 1268.348 1170.902 1081.039 986.635 892.050 795.484 491.464 437.856 258.103 227.622 202.301 108.723 89.713

L=3m 132425.86 121380.69 113663.78 103350.35 91486.32 77465.53 69048.54 61086.65 54928.51 48481.62 41208.00 269799.36 219654.36 174341.67 153009.03 132644.17 122320.73 112631.46 103079.83 94392.71 85126.31 75985.00 67850.36 60799.69 56322.93 50070.35 44160.89 40044.55 33949.55

L=5m 47673.31 43697.05 40918.96 37206.12 32935.08 27887.59 24857.48 21991.19 19774.26 17453.38 14834.88 97127.77 79075.57 62763.00 55083.25 47751.90 44035.46 40547.33 37108.74 33981.38 30645.47 27354.60 24426.13 21887.89 20276.26 18025.33 15897.92 14416.04 12221.84

L=7m 24323.12 22294.41 20877.02 18982.72 16803.61 14228.36 12682.39 11220.00 10088.91 8904.79 7568.82 49554.98 40344.68 32021.94 28103.70 24363.21 22467.07 20687.41 18933.03 17337.44 15635.44 13956.43 12462.31 11167.29 10345.03 9196.59 8111.18 7355.12 6235.63

L=9m 14713.98 13486.74 12629.31 11483.37 10165.15 8607.28 7672.06 6787.41 6103.17 5386.85 4578.67 29977.71 24406.04 19371.30 17001.00 14738.24 13591.19 12514.61 11453.31 10488.08 9458.48 8442.78 7538.93 6755.52 6258.10 5563.37 4906.77 4449.39 3772.17

L=12m 8276.62 7586.29 7103.99 6459.40 5717.90 4841.60 4315.53 3817.92 3433.03 3030.10 2575.50 16862.46 13728.40 10896.35 9563.06 8290.26 7645.05 7039.47 6442.49 5899.54 5320.39 4749.06 4240.65 3799.98 3520.18 3129.40 2760.06 2502.78 2121.85

L=3m 200597.75 183866.61 172177.09 156554.37 138582.83 117344.24 104594.24 92533.62 83205.32 73439.61 62421.59 408690.15 332730.86 264091.52 231776.99 200928.44 185290.57 170613.34 156144.59 142985.41 128948.73 115101.54 102779.24 92098.94 85317.58 75846.21 66894.61 60659.20 51426.53

L=5m 72215.19 66191.98 61983.75 56359.57 49889.82 42243.93 37653.93 33312.10 29953.91 26438.26 22471.77 147128.45 119783.11 95072.95 83439.71 72334.24 66704.61 61420.80 56212.05 51474.75 46421.54 41436.56 37000.53 33155.62 30714.33 27304.64 24082.06 21837.31 18513.55

L=7m 36844.48 33771.42 31624.36 28754.88 25453.99 21553.02 19211.19 16995.97 15282.61 13488.91 11465.19 75065.54 61113.83 48506.61 42571.28 36905.22 34032.96 31337.14 28679.62 26262.63 23684.46 21141.10 18877.82 16916.13 15670.58 13930.94 12286.77 11141.49 9445.69

L=9m 22288.64 20429.62 19130.79 17394.93 15398.09 13038.25 11621.58 10281.51 9245.04 8159.96 6935.73 45410.02 36970.10 29343.50 25753.00 22325.38 20587.84 18957.04 17349.40 15887.27 14327.64 12789.06 11419.92 10233.22 9479.73 8427.36 7432.73 6739.91 5714.06

L=12m 12537.36 11491.66 10761.07 9784.65 8661.43 7334.01 6537.14 5783.35 5200.33 4589.98 3901.35 25543.13 20795.68 16505.72 14486.06 12558.03 11580.66 10663.33 9759.04 8936.59 8059.30 7193.85 6423.70 5756.18 5332.35 4740.39 4180.91 3791.20 3214.16

*3 Ncrb = π2. E . A/( Kc.L / rx )2

d 11

Øb = 0.9 Beban Kritis Elastis Section Index 14" WF 14 x 12 14" WF 14 x 10 14" WF 14 x 8 14" WF 14 x 6-3/4

12" WF 12 x 12

12" WF 12 x 10 12" WF 12 x 8 12" WF 12 x 6-1/2


4


L=5m 30510.92 27966.11 26188.14 23811.92 21078.45 17848.06 15908.78 14074.36 12655.53 11170.16 9494.32 62161.77 50608.36 40168.32 35253.28 30561.22 28182.70 25950.29 23749.59 21748.08 19613.10 17506.94 15632.72 14008.25 12976.80 11536.21 10174.67 9226.26 7821.98

L=7m 15566.79 14268.42 13361.29 12148.94 10754.31 9106.15 8116.73 7180.80 6456.90 5699.06 4844.04 31715.19 25820.59 20494.04 17986.37 15592.46 14378.93 13239.94 12117.14 11095.96 10006.68 8932.11 7975.88 7147.07 6620.82 5885.82 5191.16 4707.28 3990.80

*3 Ncrb = π2. E . A/( Kc.L / rx )2

L=9m 9416.95 8631.52 8082.76 7349.36 6505.69 5508.66 4910.12 4343.94 3906.03 3447.58 2930.35 19185.73 15619.87 12397.63 10880.64 9432.47 8698.36 8009.35 7330.12 6712.37 6053.43 5403.38 4824.91 4323.53 4005.19 3560.56 3140.33 2847.61 2414.19

Mengalami Tegangan Leleh Ny ( KN ) * L=12m 5297.03 4855.23 4546.55 4134.01 3659.45 3098.62 2761.94 2443.47 2197.14 1939.26 1648.32 10791.97 8786.17 6973.67 6120.36 5305.77 4892.83 4505.26 4123.19 3775.71 3405.05 3039.40 2714.01 2431.99 2252.92 2002.81 1766.44 1601.78 1357.98

Parameter

Konstanta

Konstanta

Øb Ny ( KN )

Puntir

Puntir

Torsi (J)

Lengkung (Iw)

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

3347.40 3108.00 2948.40 2709.00 2429.70 2112.60 1911.00 1713.60 1514.10 1354.50 1192.80 7568.40 6419.70 5298.30 4783.80 4225.20 3941.70 3666.60 3385.20 3145.80 2866.50 2589.30 2312.10 2112.60 1992.90 1793.40 1593.90 1434.30 1234.80

3825.60 3552.00 3369.60 3096.00 2776.80 2414.40 2184.00 1958.40 1730.40 1548.00 1363.20 8649.60 7336.80 6055.20 5467.20 4828.80 4504.80 4190.40 3868.80 3595.20 3276.00 2959.20 2642.40 2414.40 2277.60 2049.60 1821.60 1639.20 1411.20

3985.00 3700.00 3510.00 3225.00 2892.50 2515.00 2275.00 2040.00 1802.50 1612.50 1420.00 9010.00 7642.50 6307.50 5695.00 5030.00 4692.50 4365.00 4030.00 3745.00 3412.50 3082.50 2752.50 2515.00 2372.50 2135.00 1897.50 1707.50 1470.00

4622.60 4292.00 4071.60 3741.00 3355.30 2917.40 2639.00 2366.40 2090.90 1870.50 1647.20 10451.60 8865.30 7316.70 6606.20 5834.80 5443.30 5063.40 4674.80 4344.20 3958.50 3575.70 3192.90 2917.40 2752.10 2476.60 2201.10 1980.70 1705.20

6535.40 6068.00 5756.40 5289.00 4743.70 4124.60 3731.00 3345.60 2956.10 2644.50 2328.80 14776.40 12533.70 10344.30 9339.80 8249.20 7695.70 7158.60 6609.20 6141.80 5596.50 5055.30 4514.10 4124.60 3890.90 3501.40 3111.90 2800.30 2410.80

3012.66 2797.20 2653.56 2438.10 2186.73 1901.34 1719.90 1542.24 1362.69 1219.05 1073.52 6811.56 5777.73 4768.47 4305.42 3802.68 3547.53 3299.94 3046.68 2831.22 2579.85 2330.37 2080.89 1901.34 1793.61 1614.06 1434.51 1290.87 1111.32

3443.04 3196.80 3032.64 2786.40 2499.12 2172.96 1965.60 1762.56 1557.36 1393.20 1226.88 7784.64 6603.12 5449.68 4920.48 4345.92 4054.32 3771.36 3481.92 3235.68 2948.40 2663.28 2378.16 2172.96 2049.84 1844.64 1639.44 1475.28 1270.08

3586.50 3330.00 3159.00 2902.50 2603.25 2263.50 2047.50 1836.00 1622.25 1451.25 1278.00 8109.00 6878.25 5676.75 5125.50 4527.00 4223.25 3928.50 3627.00 3370.50 3071.25 2774.25 2477.25 2263.50 2135.25 1921.50 1707.75 1536.75 1323.00

4160.34 3862.80 3664.44 3366.90 3019.77 2625.66 2375.10 2129.76 1881.81 1683.45 1482.48 9406.44 7978.77 6585.03 5945.58 5251.32 4898.97 4557.06 4207.32 3909.78 3562.65 3218.13 2873.61 2625.66 2476.89 2228.94 1980.99 1782.63 1534.68

BJ 55

4

mm 5881.86 1568806.58 5461.20 1233908.86 5180.76 1342929.01 4760.10 1031628.72 4269.33 737396.40 3712.14 637664.08 3357.90 464530.06 3011.04 326355.63 2660.49 253670.77 2380.05 173832.44 2095.92 105013.07 13298.76 18398605.57 11280.33 11395714.19 9309.87 6474590.95 8405.82 4624963.36 7424.28 3255158.23 6926.13 2644606.74 6442.74 2116634.35 5948.28 1691961.86 5527.62 1336210.93 5036.85 1009343.38 4549.77 741181.28 4062.69 730643.73 3712.14 530243.60 3501.81 589692.77 3151.26 425864.94 2800.71 304938.92 2520.27 287532.90 2169.72 182291.54

mm6x(1011) 20.90 18.55 11.91 10.70 9.35 4.82 4.25 3.67 2.04 1.75 1.42 49.12 39.15 30.13 25.81 22.18 20.34 18.54 16.95 15.26 13.65 12.09 7.42 6.45 3.68 3.21 2.83 1.51 1.24

*4 Ny = A . fy

d 12


Weight

Index

10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8


Section d

Web

Flange


B

t2


Area

r

A

Momen

Radius

Modulus

Centre

Modulus

Inersia

of Gyration

of Section


of Plastis

Ix

Iy 4

ry

Sx

Sy 3

Cx 3

Cy

Zx

Zy

mm 289 282 276 270 267 264 260 257 254 257 252 248 260 256 251 229 222 216 210 206 203 205 201 207 203 162 157 152 130 127

mm 265 263 261 259 258 257 256 255 254 204 203 202 147 146 146 210 209 206 205 204 203 166 165 134 133 154 153 152 128 127

mm 19.18 17.40 15.62 13.59 12.95 11.61 10.54 9.35 8.64 8.89 8.08 7.42 7.34 6.40 6.10 14.61 12.95 10.29 9.27 8.00 7.32 7.24 6.22 6.30 5.84 8.13 6.55 6.10 6.73 6.10

mm 31.70 28.40 25.35 22.05 20.52 19.00 17.35 15.70 14.17 15.70 13.41 11.00 12.70 10.92 8.64 23.70 20.52 17.35 14.17 12.52 11.00 11.76 10.11 9.60 7.82 11.58 9.32 6.83 10.67 9.14

mm 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 8.12 8.12 8.12 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 8.12 8.12 6.35 6.35 6.35 7.62 7.62

cm 212.4 189.9 169.0 146.3 136.6 125.2 113.9 102.5 92.9 85.4 74.1 62.6 55.0 47.4 39.9 127.1 110.1 91.0 75.9 66.5 58.8 53.1 45.5 37.9 32.3 47.4 37.9 29.6 35.2 30.3

cm 29920 26020 22580 19030 17510 15920 14310 12720 11360 10350 8729 7114 6548 5545 4425 11310 9462 7647 6090 5266 4567 4071 3434 2881 2348 2227 1736 1261 1057 886.7

cm 9799 8600 7518 6386 5903 5378 4850 4325 3871 2215 1869 1519 632.8 528.7 403.8 3688 3118 2535 2040 1769 1540 899.2 757.6 353.8 279.7 711.8 553.6 403.4 370 312.6

mm 118.9 117.1 115.6 114.0 113.3 112.8 112.0 111.5 110.5 110.0 108.4 106.7 109.0 108.2 105.2 94.2 92.7 91.7 89.7 88.9 88.1 87.6 86.9 87.1 85.3 68.3 67.6 65.0 54.9 54.1

mm 67.8 67.3 66.8 66.0 65.8 65.5 65.3 65.0 64.5 50.8 50.3 49.3 34.0 33.3 31.8 53.8 53.3 52.8 51.8 51.6 51.0 41.1 40.9 30.5 29.5 38.6 38.1 36.8 32.5 32.0

cm 2070.0 1842.2 1634.1 1411.2 1312.8 1207.9 1099.8 990.0 894.9 804.7 691.6 573.6 504.8 432.7 352.4 990.0 852.3 708.0 581.8 509.7 449.1 398.3 340.9 278.6 231.1 275.4 219.6 165.5 162.9 139.8

cm 740.8 654.0 576.9 493.3 457.3 417.9 378.6 339.3 304.8 218.0 183.6 150.8 85.2 72.1 55.7 350.7 298.3 245.8 198.3 173.7 150.8 108.2 91.8 52.4 42.6 91.8 72.1 52.4 58.0 49.2

mm 30.67 28.87 27.18 25.32 24.70 23.46 22.36 21.21 20.56 23.09 22.37 22.29 26.74 25.76 26.74 23.91 22.17 19.85 18.85 17.59 17.05 18.70 17.62 20.96 21.20 15.51 14.09 14.32 12.20 11.61

mm 53.40 52.69 52.02 51.35 50.81 50.79 50.53 50.36 49.78 38.85 37.95 36.50 25.52 25.10 23.60 41.99 41.47 41.04 39.86 39.72 39.05 31.08 30.74 23.17 21.98 29.56 29.20 27.19 25.31 24.70

mm 2417749.20 2129348.70 1872858.00 1604618.40 1486208.00 1358920.80 1226019.60 1099722.50 988827.60 900201.40 767898.30 636704.60 567930.00 484617.60 394052.40 1151398.90 978018.30 802165.00 653878.50 567976.50 496566.00 444978.00 377104.00 312826.60 259369.00 310422.60 244113.90 182572.80 185856.00 157226.70

mm3 1134216.00 1000583.10 879138.00 751250.50 694064.60 635890.80 575536.70 516190.00 462456.20 331779.00 281209.50 228490.00 140360.00 118974.00 94164.00 533692.90 456584.70 373464.00 302537.40 264138.00 229614.00 165034.80 139867.00 87814.30 70995.40 140114.40 110668.00 80482.40 89091.20 74841.00

19.35

106

122

7.11

8.30

7.95

25.1

470.3

156.5

43.7

25.1

89.3

31.1

10.47

23.27

106750.30

58407.70

NK = Non Kompak

4

rx

kg/m 166.70 148.80 132.40 114.60 107.10 98.22 89.29 80.36 72.92 66.97 58.04 49.11 43.16 37.20 31.25 99.71 86.31 71.43 59.53 52.09 46.13 41.67 35.72 29.76 25.30 37.20 29.76 23.07 27.53 23.81

K = Kompak

2


3






K

K

K

K

K

S = Slender

e1


10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8




2




BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm 3682.542 3655.385 3628.227 3584.775 3573.912 3557.618 3546.755 3530.461 3503.303 2759.191 2732.033 2677.719 1846.702 1808.682 1727.210 2922.135 2894.978 2867.820 2813.506 2802.643 2770.054 2232.337 2221.474 1656.601 1602.286 2096.550 2069.393 1998.784 1765.230 1738.073

mm 3444.703 3419.299 3393.896 3353.250 3343.089 3327.847 3317.686 3302.444 3277.040 2580.987 2555.583 2504.776 1727.432 1691.867 1615.657 2733.407 2708.004 2682.600 2631.793 2621.632 2591.148 2088.160 2077.999 1549.608 1498.801 1961.143 1935.740 1869.691 1651.222 1625.818

mm 3375.106 3350.215 3325.325 3285.501 3275.545 3260.611 3250.655 3235.721 3210.830 2528.840 2503.950 2454.170 1692.531 1657.685 1583.014 2678.181 2653.291 2628.401 2578.620 2568.664 2538.796 2045.971 2036.015 1518.300 1468.519 1921.520 1896.630 1831.916 1617.860 1592.970

mm 3133.707 3110.597 3087.487 3050.511 3041.267 3027.401 3018.157 3004.291 2981.181 2347.969 2324.859 2278.639 1571.475 1539.121 1469.792 2486.629 2463.519 2440.409 2394.189 2384.945 2357.213 1899.636 1890.392 1409.706 1363.486 1784.087 1760.977 1700.891 1502.146 1479.036

mm 2635.515 2616.079 2596.643 2565.545 2557.771 2546.109 2538.335 2526.673 2507.237 1974.692 1955.256 1916.385 1321.645 1294.434 1236.126 2091.308 2071.872 2052.436 2013.564 2005.790 1982.467 1597.635 1589.861 1185.593 1146.721 1500.455 1481.019 1430.486 1263.337 1243.901

mm 32228.578 28752.163 25552.262 22074.114 20547.649 19010.160 17411.919 15862.091 14407.154 12450.142 10794.694 9165.433 6887.775 6079.698 5113.950 23823.857 20558.302 17294.528 14058.379 12556.161 11107.378 9479.871 8351.140 5924.808 5043.380 11140.955 9066.230 6886.536 10928.523 9260.798

mm 26574.349 23722.479 21102.776 18264.486 17024.800 15780.191 14493.692 13256.509 12103.457 10404.600 9096.916 7829.388 5836.336 5206.938 4453.735 19651.840 16976.997 14314.932 11696.041 10496.104 9348.442 7950.012 7065.838 5040.483 4355.787 9249.846 7587.652 5876.400 9041.837 7687.945

mm 25109.735 22420.184 19951.429 17279.814 16114.929 14946.720 13741.525 12585.739 11510.895 9877.998 8660.257 7484.816 5565.779 4981.601 4281.339 18571.449 16050.251 13544.953 11087.033 9965.801 8896.049 7556.425 6735.174 4812.724 4177.409 8761.902 7207.130 5615.986 8554.168 7282.096

mm 20587.952 18401.657 16401.439 14247.756 13315.533 12384.830 11432.050 10528.075 9693.517 8262.580 7320.566 6422.517 4734.573 4285.890 3742.287 15237.026 13192.596 11174.534 9216.788 8339.089 7508.339 6349.353 5719.770 4111.938 3623.541 7262.216 6040.021 4813.587 7052.445 6034.662

mm 13437.058 12058.231 10811.746 9491.936 8933.816 8382.960 7830.244 7319.045 6851.005 5743.281 5219.125 4723.986 3422.055 3168.453 2846.777 9970.065 8692.112 7458.744 6299.443 5801.978 5334.354 4463.827 4119.546 2998.879 2719.549 4919.977 4218.941 3532.925 4696.700 4086.207

KNm 507.727 447.163 393.300 336.970 312.104 285.373 257.464 230.942 207.654 189.042 161.259 133.708 119.265 101.770 82.751 241.794 205.384 168.455 137.314 119.275 104.279 93.445 79.192 65.694 54.467 65.189 51.264 38.340 39.030 33.018

KNm 580.260 511.044 449.486 385.108 356.690 326.141 294.245 263.933 237.319 216.048 184.296 152.809 136.303 116.308 94.573 276.336 234.724 192.520 156.931 136.314 119.176 106.795 90.505 75.078 62.249 74.501 58.587 43.781 44.605 37.734

KNm 604.437 532.337 468.215 401.155 371.552 339.730 306.505 274.931 247.207 225.050 191.975 159.176 141.983 121.154 98.513 287.850 244.505 200.541 163.470 141.994 124.142 111.245 94.276 78.207 64.842 77.606 61.028 45.548 46.464 39.307

KNm 701.147 617.511 543.129 465.339 431.000 394.087 355.546 318.920 286.760 261.058 222.691 184.644 164.700 140.539 114.275 333.906 283.625 232.628 189.625 164.713 144.004 129.044 109.360 90.720 75.217 90.023 70.793 52.567 53.898 45.596

KNm 991.277 873.033 767.872 657.894 609.345 557.158 502.668 450.886 403.549 369.083 314.838 259.306 232.851 198.693 161.483 472.074 400.988 328.888 268.090 232.870 202.205 182.441 154.613 128.259 106.234 127.273 100.087 73.216 76.201 64.463

1363.301

1275.251

1249.486

1160.119

975.685

8705.578

7201.685

6812.930

5615.696

3737.150

22.418

25.620

26.688

30.958

43.768

(*1) Lp = 1,76.ry.√(E/fy)

(*2) Lr = ry (x1/fL) √ (1+(√(1+x2.fL2))

(*3) Mn = Mp


Mn = Mr ( λr/λ )2

e2


10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8



4

Mn (KNm) (*5)


BJ 37

BJ 41

BJ 50

BJ 55

KNm 238.185 210.122 184.619 157.763 145.754 133.537 120.863 108.400 97.116 69.674 59.054 47.983 29.476 24.985 19.774 112.076 95.883 78.427 63.533 55.469 48.219 34.657 29.372 18.441 14.909 29.424 23.240 16.901 18.709 15.717

KNm 272.212 240.140 210.993 180.300 166.576 152.614 138.129 123.886 110.989 79.627 67.490 54.838 33.686 28.554 22.599 128.086 109.580 89.631 72.609 63.393 55.107 39.608 33.568 21.075 17.039 33.627 26.560 19.256 21.382 17.962

KNm 283.554 250.146 219.785 187.813 173.516 158.973 143.884 129.048 115.614 82.945 70.302 57.123 35.090 29.744 23.541 133.423 114.146 93.366 75.634 66.035 57.404 41.259 34.967 21.954 17.749 35.029 27.667 19.964 22.273 18.710

KNm 328.923 290.169 254.950 217.863 201.279 184.408 166.906 149.695 134.112 96.216 81.551 66.262 40.704 34.502 27.308 154.771 132.410 108.305 87.736 76.600 66.588 47.860 40.561 25.466 20.589 40.633 32.094 22.717 25.836 21.704

KNm 465.029 410.239 360.447 308.013 284.566 260.715 235.970 211.638 186.467 136.029 115.296 91.535 57.548 48.779 38.535 218.814 187.200 153.120 124.040 108.297 91.839 67.664 57.345 36.004 29.000 57.447 45.374 30.303 36.527 30.685

L=3m 507.727 447.163 393.300 336.970 312.104 285.373 257.464 230.942 207.654 189.042 161.259 133.708 119.265 101.770 80.020 241.794 205.384 168.455 137.314 119.275 104.279 93.445 79.192 65.314 51.853 65.189 51.264 38.340 39.030 33.018

L=5m 507.727 447.163 393.300 336.970 312.104 285.373 257.464 230.942 207.654 189.042 161.259 130.635 101.311 80.930 57.525 241.794 205.384 168.455 137.314 119.275 104.279 90.123 74.019 51.057 37.201 64.569 48.643 33.089 37.965 30.994

L=7m 507.727 447.163 393.300 336.970 312.104 285.373 257.464 230.942 206.613 177.402 144.951 111.867 78.872 58.504 37.378 241.794 205.384 168.455 132.829 112.466 94.930 78.268 62.315 36.756 24.558 57.855 41.956 26.001 33.928 26.919

L=9m 507.727 447.163 393.300 336.970 309.038 278.643 247.107 216.583 189.390 159.431 126.730 93.099 59.565 43.855 27.659 241.437 200.227 158.441 121.502 101.265 83.607 66.413 49.861 27.826 18.423 51.141 35.270 19.436 29.891 22.843

L=12m 506.422 438.029 376.742 311.816 283.184 252.911 221.579 190.973 163.555 132.475 98.026 66.807 43.757 32.037 20.003 224.552 183.564 142.005 104.513 84.463 66.079 49.449 36.381 20.478 13.466 40.870 26.126 14.168 23.578 17.159

L=3m 580.260 511.044 449.486 385.108 356.690 326.141 294.245 263.933 237.319 216.048 184.296 152.809 136.303 114.455 88.537 276.336 234.724 192.520 156.931 136.314 119.176 106.795 90.505 72.462 57.209 74.501 58.587 43.817 44.605 37.734

L=5m 580.260 511.044 449.486 385.108 356.690 326.141 294.245 263.933 237.319 216.048 181.672 144.661 109.545 86.726 58.047 276.336 234.724 192.520 156.931 136.314 118.455 99.613 81.436 54.359 37.179 71.774 53.652 35.984 42.114 34.154

L=7m 580.260 511.044 449.486 385.108 356.690 326.141 294.245 260.387 229.582 195.266 158.416 120.983 78.872 58.504 37.378 276.336 234.724 188.940 147.023 123.917 104.004 84.412 66.556 36.756 24.558 63.114 45.078 26.001 36.897 28.900

L=9m 580.260 511.044 449.486 376.338 343.695 309.073 273.258 238.481 207.577 172.171 135.159 93.491 59.565 43.855 27.659 269.404 222.427 174.797 132.428 109.537 89.553 67.370 49.861 27.826 18.423 54.454 35.445 19.436 31.679 23.072

L=12m 565.204 487.257 417.296 343.034 310.320 275.896 240.429 205.624 174.570 133.960 98.026 66.807 43.757 32.037 20.003 247.565 200.896 153.581 109.814 85.360 66.079 49.449 36.381 20.478 13.466 40.870 26.126 14.168 23.578 17.159

12.266

14.018

14.602

16.938

23.947

22.418

19.957

16.878

13.705

10.238

25.620

21.727

17.711

13.705

10.238

(*4) Mn = Mp


BJ 34

Mn = Mr ( λr/λ )2

BJ 37

(*5) Mn = Mp


Mn = Mcr ≤ Mp


e3


Section Index

10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8


BJ 41

BJ 50

BJ 55

L=3m 604.437 532.337 468.215 401.155 371.552 339.730 306.505 274.931 247.207 225.050 191.975 159.176 141.983 118.196 91.303 287.850 244.505 200.541 163.470 141.994 124.142 111.245 94.276 74.769 58.939 77.606 61.028 45.643 46.464 39.307

L=5m 604.437 532.337 468.215 401.155 371.552 339.730 306.505 274.931 247.207 225.050 187.658 149.195 112.097 88.702 58.047 287.850 244.505 200.541 163.470 141.994 122.409 102.648 83.808 54.648 37.179 74.088 55.249 36.903 43.440 35.154

L=7m 604.437 532.337 468.215 401.155 371.552 339.730 305.193 269.025 236.993 200.930 162.664 123.847 78.872 58.504 37.378 287.850 244.505 195.245 151.555 127.557 106.879 86.284 66.620 36.756 24.558 64.744 46.018 26.001 37.806 29.486

L=9m 604.437 532.337 466.032 388.821 354.827 318.814 281.604 245.438 213.335 176.048 135.460 93.491 59.565 43.855 27.659 278.428 229.540 179.977 135.812 112.070 91.289 67.370 49.861 27.826 18.423 55.162 35.445 19.436 31.642 23.072

L=12m 584.179 503.065 430.225 352.863 318.801 283.020 246.220 210.056 175.285 133.960 98.026 66.807 43.757 32.037 20.003 254.833 206.286 157.076 109.814 85.360 66.079 49.449 36.381 20.478 13.466 40.870 26.126 14.168 23.578 17.159

L=3m 701.147 617.511 543.129 465.339 431.000 394.087 355.546 318.920 286.760 261.058 222.691 184.644 160.139 132.721 102.065 333.906 283.625 232.628 189.625 164.713 144.004 129.044 109.360 83.677 65.626 90.023 70.793 52.491 53.898 45.596

L=5m 701.147 617.511 543.129 465.339 431.000 394.087 355.546 318.920 286.760 254.657 210.807 166.734 117.844 88.702 58.047 333.906 283.625 232.628 189.338 161.447 137.727 114.212 92.861 54.648 37.179 82.927 61.305 39.633 48.469 38.904

L=7m 701.147 617.511 543.129 465.339 428.886 387.141 344.040 302.348 265.558 222.266 178.613 128.208 78.872 58.504 37.378 333.800 277.002 219.449 168.743 141.313 117.720 89.308 66.620 36.756 24.558 70.676 46.720 26.001 41.050 30.031

L=9m 701.147 610.779 526.205 436.675 397.333 355.868 313.260 271.705 235.028 183.694 135.460 93.491 59.565 43.855 27.659 313.038 256.576 199.383 148.148 117.151 91.289 67.370 49.861 27.826 18.423 55.162 35.445 19.436 31.642 23.072

L=12m 656.998 563.312 479.036 389.372 350.005 308.959 261.278 214.031 175.285 133.960 98.026 66.807 43.757 32.037 20.003 281.895 225.937 164.719 109.814 85.360 66.079 49.449 36.381 20.478 13.466 40.870 26.126 14.168 23.578 17.159

L=3m 991.277 873.033 767.872 657.894 609.345 557.158 502.668 450.886 405.419 369.083 314.838 261.049 209.684 173.000 125.389 472.074 400.988 328.888 268.090 232.870 203.592 181.757 151.661 108.202 76.537 127.273 98.020 69.518 74.866 61.563

L=5m 991.277 873.033 767.872 657.894 609.345 557.158 502.668 446.770 396.002 333.371 274.164 204.180 117.844 88.702 58.047 472.074 400.988 320.132 249.797 211.907 179.859 133.739 101.309 54.648 37.179 105.243 69.157 39.633 58.802 43.268

L=7m 991.277 864.689 745.662 620.022 565.197 507.745 449.307 392.398 337.512 245.606 182.916 128.208 78.872 58.504 37.378 441.943 362.755 282.950 199.341 156.810 123.229 89.308 66.620 36.756 24.558 72.188 46.720 26.001 41.071 30.031

L=9m 936.954 805.122 686.747 561.400 504.087 431.771 361.337 297.841 245.671 183.694 135.460 93.491 59.565 43.855 27.659 402.739 317.847 223.431 149.938 117.151 91.289 67.370 49.861 27.826 18.423 55.162 35.445 19.436 31.642 23.072

L=12m 845.933 715.771 566.265 424.798 367.558 313.676 261.278 214.031 175.285 133.960 98.026 66.807 43.757 32.037 20.003 317.304 235.309 164.719 109.814 85.360 66.079 49.449 36.381 20.478 13.466 40.870 26.126 14.168 23.578 17.159

26.617

22.267

17.725

13.705

10.238

29.967

24.178

17.725

13.705

10.238

38.692

25.166

17.725

13.705

10.238

(*5) Mn = Mp



e4


Section Index

10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8


BJ 34

BJ 37

BJ 41

BJ 50

L=3m 545.20 493.73 443.42 386.82 368.70 330.61 299.21 265.78 245.66 252.70 229.25 211.29 216.97 188.83 179.64 334.30 295.27 235.06 212.18 182.41 166.94 165.55 141.68 149.08 137.87 142.22 114.19 106.33 92.14 83.56

L=5m 545.20 493.73 443.42 386.82 368.70 330.61 299.21 265.78 245.66 252.70 229.25 211.29 216.97 188.83 179.64 334.30 295.27 235.06 212.18 182.41 166.94 165.55 141.68 149.08 137.87 142.22 114.19 106.33 92.14 83.56

L=7m 545.20 493.73 443.42 386.82 368.70 330.61 299.21 265.78 245.66 252.70 229.25 211.29 216.97 188.83 179.64 334.30 295.27 235.06 212.18 182.41 166.94 165.55 141.68 149.08 137.87 142.22 114.19 106.33 92.14 83.56

L=9m 545.20 493.73 443.42 386.82 368.70 330.61 299.21 265.78 245.66 252.70 229.25 211.29 216.97 188.83 179.64 334.30 295.27 235.06 212.18 182.41 166.94 165.55 141.68 149.08 137.87 142.22 114.19 106.33 92.14 83.56

L=12m 545.20 493.73 443.42 386.82 368.70 330.61 299.21 265.78 245.66 252.70 229.25 211.29 216.97 188.83 179.64 334.30 295.27 235.06 212.18 182.41 166.94 165.55 141.68 149.08 137.87 142.22 114.19 106.33 92.14 83.56

L=3m 623.09 564.26 506.76 442.08 421.37 377.84 341.95 303.75 280.76 288.80 262.00 241.48 247.96 215.80 205.30 382.06 337.45 268.64 242.49 208.47 190.79 189.20 161.92 170.37 157.56 162.54 130.50 121.52 105.30 95.50

L=5m 623.09 564.26 506.76 442.08 421.37 377.84 341.95 303.75 280.76 288.80 262.00 241.48 247.96 215.80 205.30 382.06 337.45 268.64 242.49 208.47 190.79 189.20 161.92 170.37 157.56 162.54 130.50 121.52 105.30 95.50

L=7m 623.09 564.26 506.76 442.08 421.37 377.84 341.95 303.75 280.76 288.80 262.00 241.48 247.96 215.80 205.30 382.06 337.45 268.64 242.49 208.47 190.79 189.20 161.92 170.37 157.56 162.54 130.50 121.52 105.30 95.50

L=9m 623.09 564.26 506.76 442.08 421.37 377.84 341.95 303.75 280.76 288.80 262.00 241.48 247.96 215.80 205.30 382.06 337.45 268.64 242.49 208.47 190.79 189.20 161.92 170.37 157.56 162.54 130.50 121.52 105.30 95.50

L=12m 623.09 564.26 506.76 442.08 421.37 377.84 341.95 303.75 280.76 288.80 262.00 241.48 247.96 215.80 205.30 382.06 337.45 268.64 242.49 208.47 190.79 189.20 161.92 170.37 157.56 162.54 130.50 121.52 105.30 95.50

L=3m 649.05 587.77 527.88 460.50 438.93 393.58 356.20 316.40 292.46 300.84 272.92 251.54 258.29 224.79 213.85 397.98 351.51 279.84 252.60 217.15 198.74 197.09 168.67 177.47 164.13 169.32 135.94 126.58 109.69 99.48

L=5m 649.05 587.77 527.88 460.50 438.93 393.58 356.20 316.40 292.46 300.84 272.92 251.54 258.29 224.79 213.85 397.98 351.51 279.84 252.60 217.15 198.74 197.09 168.67 177.47 164.13 169.32 135.94 126.58 109.69 99.48

L=7m 649.05 587.77 527.88 460.50 438.93 393.58 356.20 316.40 292.46 300.84 272.92 251.54 258.29 224.79 213.85 397.98 351.51 279.84 252.60 217.15 198.74 197.09 168.67 177.47 164.13 169.32 135.94 126.58 109.69 99.48

L=9m 649.05 587.77 527.88 460.50 438.93 393.58 356.20 316.40 292.46 300.84 272.92 251.54 258.29 224.79 213.85 397.98 351.51 279.84 252.60 217.15 198.74 197.09 168.67 177.47 164.13 169.32 135.94 126.58 109.69 99.48

L=12m 649.05 587.77 527.88 460.50 438.93 393.58 356.20 316.40 292.46 300.84 272.92 251.54 258.29 224.79 213.85 397.98 351.51 279.84 252.60 217.15 198.74 197.09 168.67 177.47 164.13 169.32 135.94 126.58 109.69 99.48

L=3m 752.90 681.82 612.34 534.18 509.16 456.55 413.19 367.03 339.25 348.97 316.59 291.78 299.62 260.76 248.07 461.65 407.76 324.61 293.01 251.90 230.54 228.62 195.65 205.87 190.39 196.41 157.69 146.83 127.24 115.40

L=5m 752.90 681.82 612.34 534.18 509.16 456.55 413.19 367.03 339.25 348.97 316.59 291.78 299.62 260.76 248.07 461.65 407.76 324.61 293.01 251.90 230.54 228.62 195.65 205.87 190.39 196.41 157.69 146.83 127.24 115.40

L=7m 752.90 681.82 612.34 534.18 509.16 456.55 413.19 367.03 339.25 348.97 316.59 291.78 299.62 260.76 248.07 461.65 407.76 324.61 293.01 251.90 230.54 228.62 195.65 205.87 190.39 196.41 157.69 146.83 127.24 115.40

L=9m 752.90 681.82 612.34 534.18 509.16 456.55 413.19 367.03 339.25 348.97 316.59 291.78 299.62 260.76 248.07 461.65 407.76 324.61 293.01 251.90 230.54 228.62 195.65 205.87 190.39 196.41 157.69 146.83 127.24 115.40

L=12m 752.90 681.82 612.34 534.18 509.16 456.55 413.19 367.03 339.25 348.97 316.59 291.78 299.62 260.76 248.07 461.65 407.76 324.61 293.01 251.90 230.54 228.62 195.65 205.87 190.39 196.41 157.69 146.83 127.24 115.40

80.09

80.09

80.09

80.09

80.09

91.53

91.53

91.53

91.53

91.53

95.35

95.35

95.35

95.35

95.35

110.60

110.60

110.60

110.60

110.60

*1 Vn = 0.6 fy Aw


Vn = (0.9 Aw Kn E)/(h/tw)2

e5

Kuat Geser Nominal


Section

Vn (KN) *1


Index

BJ 55

10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8


BJ 34

BJ 37

L=3m 1064.44 963.95 865.72 755.22 719.84 645.47 584.17 518.90 479.63 493.37 447.59 412.52 423.60 368.66 350.72 652.68 576.48 458.93 414.26 356.13 325.93 323.22 276.62 291.05 269.17 277.68 222.94 207.59 179.90 163.15

L=5m 1064.44 963.95 865.72 755.22 719.84 645.47 584.17 518.90 479.63 493.37 447.59 412.52 423.60 368.66 350.72 652.68 576.48 458.93 414.26 356.13 325.93 323.22 276.62 291.05 269.17 277.68 222.94 207.59 179.90 163.15

L=7m 1064.44 963.95 865.72 755.22 719.84 645.47 584.17 518.90 479.63 493.37 447.59 412.52 423.60 368.66 350.72 652.68 576.48 458.93 414.26 356.13 325.93 323.22 276.62 291.05 269.17 277.68 222.94 207.59 179.90 163.15

L=9m 1064.44 963.95 865.72 755.22 719.84 645.47 584.17 518.90 479.63 493.37 447.59 412.52 423.60 368.66 350.72 652.68 576.48 458.93 414.26 356.13 325.93 323.22 276.62 291.05 269.17 277.68 222.94 207.59 179.90 163.15

L=12m 1064.44 963.95 865.72 755.22 719.84 645.47 584.17 518.90 479.63 493.37 447.59 412.52 423.60 368.66 350.72 652.68 576.48 458.93 414.26 356.13 325.93 323.22 276.62 291.05 269.17 277.68 222.94 207.59 179.90 163.15

L=3m 4227.867 3772.848 3354.442 2898.396 2703.676 2475.706 2252.260 2024.929 1831.831 1596.972 1381.972 1161.307 898.134 767.463 631.900 2411.111 2084.851 1718.525 1426.947 1247.989 1100.535 933.138 798.246 587.814 492.235 814.566 648.127 499.678 562.986 481.316

L=5m 3717.000 3317.720 2942.786 2536.994 2366.832 2165.733 1968.642 1768.694 1597.789 1324.520 1143.350 955.378 627.717 518.775 398.289 2026.651 1748.941 1439.006 1188.591 1039.063 913.314 723.152 617.248 347.934 277.423 615.204 486.789 369.121 366.849 306.282

L=7m 3211.231 2858.710 2533.191 2177.392 2030.149 1855.469 1684.437 1511.587 1364.266 1051.231 904.184 749.060 320.166 264.646 203.189 1643.534 1412.401 1158.884 950.447 830.262 725.926 451.686 383.350 177.557 141.534 355.659 277.076 201.818 187.198 156.243

L=9m 2701.635 2400.903 2121.339 1817.929 1692.389 1544.771 1402.052 1255.834 1130.957 671.371 571.046 463.499 193.670 160.097 122.904 1120.882 952.952 772.902 620.496 539.450 465.962 273.225 231.847 107.391 85.630 215.105 167.602 122.122 113.266 94.512

L=12m 1672.911 1473.589 1292.308 1091.888 1013.192 920.508 832.327 741.922 662.164 377.657 321.259 260.704 108.937 90.061 69.134 630.434 535.984 434.689 348.966 303.422 262.027 153.701 130.421 60.410 48.166 121.021 94.273 68.685 63.704 53.163

L=3m 4773.034 4259.439 3787.115 3269.274 3049.674 2792.565 2540.520 2284.123 2066.358 1793.176 1551.832 1303.036 995.475 848.955 697.959 2709.059 2340.478 1931.034 1602.111 1402.460 1235.727 1041.176 890.701 647.863 541.719 907.177 721.332 555.434 623.009 531.968

L=5m 4147.762 3699.351 3284.211 2829.331 2639.614 2415.434 2193.900 1969.576 1780.831 1459.829 1259.490 1051.365 627.451 518.860 398.170 2241.293 1931.579 1589.520 1311.447 1146.552 1007.281 785.213 670.350 348.006 277.477 663.711 524.265 395.766 366.906 306.189

L=7m 3527.751 3138.843 2781.893 2388.571 2227.174 2034.394 1847.027 1657.682 1495.372 1109.391 944.074 766.042 320.194 264.635 203.150 1772.458 1521.244 1247.287 1021.076 890.625 770.095 451.715 383.326 177.526 141.557 355.639 277.000 201.818 187.213 156.219

L=9m 2906.271 2579.287 2279.933 1941.230 1801.319 1636.378 1479.621 1319.035 1177.347 671.450 571.144 463.525 193.690 160.113 122.907 1120.441 952.645 772.755 620.383 539.417 465.935 273.256 231.847 107.391 85.622 215.149 167.591 122.114 113.263 94.518

L=12m 1672.715 1473.759 1292.234 1092.131 1013.416 920.306 832.146 742.081 662.339 377.632 321.228 260.720 108.945 90.062 69.135 630.411 535.984 434.735 348.966 303.422 262.061 153.704 130.427 60.413 48.164 121.005 94.271 68.687 63.704 53.163

156.37

156.37

156.37

156.37

156.37

346.321

156.062

79.622

48.170

27.095

376.500

156.062

79.630

48.168

27.095

*1 Vn = 0.6 fy Aw


Vn = (0.9 Aw Kn E)/(h/tw)2

*2 Nn = A . fy / ω

e6


Section Index

10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8


BJ 41

BJ 50

BJ 55

L=3m 4953.358 4420.391 3926.580 3392.857 3164.968 2898.148 2634.135 2368.299 2142.528 1856.522 1606.678 1349.138 1026.886 875.831 719.178 2806.979 2425.110 1999.121 1660.105 1453.234 1279.373 1076.642 921.053 666.784 556.897 937.500 745.476 573.643 641.867 548.119

L=5m 4289.176 3822.464 3393.574 2923.661 2727.636 2494.024 2267.118 2035.346 1838.876 1502.463 1296.361 1081.548 627.496 518.883 398.204 2309.230 1990.239 1636.691 1350.534 1180.753 1036.671 804.058 686.068 348.026 277.372 678.306 535.311 395.722 366.858 306.215

L=7m 3627.049 3229.592 2860.528 2456.347 2288.874 2090.848 1898.333 1702.658 1535.030 1109.812 943.949 766.218 320.140 264.657 203.157 1811.574 1555.085 1273.083 1025.676 891.421 770.138 451.723 383.319 177.518 141.543 355.589 277.047 201.841 187.234 156.226

L=9m 2968.139 2619.310 2297.757 1941.606 1802.111 1636.601 1479.221 1319.176 1177.440 671.384 571.098 463.532 193.662 160.108 122.902 1120.811 952.834 772.824 620.351 539.335 465.927 273.218 231.847 107.396 85.620 215.112 167.588 122.112 113.256 94.510

L=12m 1673.100 1473.807 1292.049 1091.791 1013.353 920.250 832.298 741.947 662.153 377.625 321.266 260.725 108.943 90.063 69.139 630.300 535.897 434.679 348.966 303.376 262.032 153.690 130.410 60.413 48.166 121.011 94.267 68.685 63.705 53.163

L=3m 5656.198 5047.754 4483.989 3871.077 3611.121 3306.740 3008.288 2702.273 2444.737 2105.952 1822.646 1529.402 1145.011 974.894 798.551 3188.495 2754.875 2271.084 1882.891 1648.291 1452.470 1212.520 1036.528 738.642 615.440 1052.527 836.454 642.515 714.346 608.940

L=5m 4827.273 4302.422 3816.978 3286.367 3063.728 2803.707 2546.723 2286.538 2064.444 1664.382 1433.556 1195.128 627.644 518.717 398.142 2568.571 2211.150 1817.493 1497.347 1308.345 1148.283 871.477 743.799 347.954 277.438 696.882 543.101 395.576 367.029 306.167

L=7m 4002.339 3557.558 3149.743 2704.079 2516.773 2299.430 2087.927 1871.851 1686.976 1109.961 944.053 765.992 320.120 264.664 203.178 1852.211 1574.797 1277.193 1025.556 891.792 770.277 451.749 383.297 177.525 141.549 355.653 277.026 201.858 187.217 156.248

L=9m 2973.856 2619.310 2296.895 1941.739 1801.660 1636.417 1479.552 1318.913 1177.105 671.393 571.136 463.408 193.685 160.116 122.916 1120.760 952.749 772.767 620.465 539.441 465.902 273.214 231.847 107.400 85.622 215.117 167.578 122.105 113.249 94.509

L=12m 1673.236 1473.965 1292.287 1092.072 1013.470 920.355 832.277 741.966 662.144 377.602 321.271 260.693 108.939 90.064 69.137 630.338 535.946 434.672 348.966 303.402 262.036 153.702 130.418 60.411 48.166 121.017 94.273 68.686 63.705 53.166

L=3m 7665.845 6835.733 6072.743 5238.690 4887.086 4475.327 4064.317 3654.348 3306.337 2801.120 2420.797 2027.330 1448.298 1228.445 996.285 4260.916 3678.973 3028.409 2507.575 2195.250 1931.731 1577.609 1347.905 912.985 753.728 1359.021 1077.601 823.338 895.285 760.747

L=5m 6274.063 5585.294 4949.286 4257.133 3966.431 3627.703 3293.300 2955.345 2665.430 2056.019 1768.393 1465.791 627.478 518.759 398.271 3212.762 2762.607 2265.331 1858.961 1623.883 1420.625 885.450 751.082 347.921 277.413 697.184 543.084 395.632 366.993 306.268

L=7m 4889.613 4337.549 3796.712 3209.793 2979.043 2705.244 2444.974 2180.285 1945.798 1109.794 943.876 766.149 320.142 264.678 203.186 1852.836 1574.915 1277.740 1025.338 891.742 770.224 451.680 383.256 177.538 141.542 355.608 277.049 201.846 187.216 156.240

L=9m 2974.688 2620.412 2297.223 1941.197 1801.560 1636.080 1479.572 1318.949 1177.403 671.409 571.071 463.494 193.666 160.115 122.908 1120.667 952.844 772.864 620.364 539.367 465.855 273.248 231.847 107.397 85.625 215.127 167.582 122.108 113.259 94.516

L=12m 1673.084 1473.904 1292.121 1092.089 1013.454 920.341 832.239 742.000 662.273 377.611 321.237 260.701 108.944 90.061 69.135 630.311 535.957 434.722 348.966 303.408 262.043 153.696 130.420 60.410 48.165 121.009 94.269 68.686 63.707 53.164

385.679

156.095

79.632

48.172

27.096

419.056

156.076

79.628

48.169

27.096

433.533

156.072

79.629

48.170

27.096

*2 Nn = A . fy / ω

e7


Section Index

10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8


BJ 34

BJ 37

BJ 41

L=3m 4368.658 3902.055 3469.208 2997.366 2798.634 2562.573 2331.287 2095.910 1897.763 1674.510 1448.883 1219.481 972.222 832.274 689.630 2518.019 2179.171 1797.742 1493.814 1307.584 1154.019 992.082 848.579 644.976 542.206 870.866 693.897 536.324 612.935 524.567

L=5m 3957.764 3532.241 3135.159 2706.872 2525.176 2310.369 2101.845 1888.158 1706.824 1452.146 1255.932 1051.680 758.870 644.272 523.688 2207.692 1906.101 1570.255 1300.082 1137.215 1001.460 821.134 702.057 480.616 397.830 708.974 562.473 430.173 469.930 399.435

L=7m 3545.628 3159.984 2801.105 2413.433 2251.648 2060.502 1870.133 1680.328 1517.030 1230.041 1060.736 884.657 485.039 400.967 307.769 1895.668 1633.993 1341.994 1106.875 967.105 849.243 650.963 555.523 268.885 214.397 538.782 419.723 305.830 283.626 236.653

L=9m 3130.105 2786.792 2469.729 2121.754 1976.981 1807.010 1640.535 1472.298 1328.046 1008.094 866.425 702.056 293.333 242.559 186.200 1583.096 1360.859 1114.936 913.410 797.544 697.233 413.958 351.287 162.678 129.694 325.827 253.876 185.000 171.558 143.150

L=12m 2510.073 2229.122 1956.720 1653.997 1535.037 1393.877 1260.553 1124.021 1003.033 572.057 486.661 394.923 165.029 136.426 104.721 954.955 811.975 658.398 528.657 459.564 396.882 232.797 197.570 91.509 72.955 183.315 142.794 104.033 96.501 80.532

L=3m 4944.326 4416.279 3926.428 3392.464 3164.479 2900.386 2636.066 2369.942 2145.910 1887.293 1634.559 1374.565 1086.420 928.653 767.923 2840.223 2458.047 2027.855 1683.549 1473.684 1299.448 1113.986 952.880 717.350 602.799 975.643 777.436 600.507 682.943 584.566

L=5m 4440.418 3963.130 3520.833 3034.745 2831.088 2592.580 2354.522 2117.040 1913.820 1616.404 1397.015 1169.183 825.000 699.201 565.957 2461.985 2124.116 1748.599 1448.013 1265.662 1113.812 905.114 773.371 517.112 420.163 778.112 616.678 470.775 508.609 432.086

L=7m 3936.371 3508.545 3110.429 2678.261 2496.877 2283.283 2075.626 1862.226 1681.448 1344.882 1159.322 964.313 485.071 400.916 307.786 2079.346 1791.458 1471.698 1211.170 1059.058 928.421 684.242 580.465 268.914 214.440 538.828 419.654 305.713 283.609 236.680

L=9m 3432.727 3054.692 2702.199 2320.687 2162.533 1975.542 1793.701 1608.895 1449.675 1017.171 864.875 702.056 293.415 242.559 186.168 1699.387 1442.949 1170.261 939.574 816.891 705.600 413.934 351.267 162.683 129.713 325.843 253.901 184.940 171.577 143.185

L=12m 2534.543 2232.750 1957.057 1654.276 1534.652 1394.339 1260.450 1123.929 1003.195 572.114 486.566 394.849 165.026 136.423 104.727 954.742 811.797 658.575 528.575 459.611 396.962 232.820 197.558 91.509 72.960 183.299 142.794 104.050 96.507 80.532

L=3m 5135.397 4586.957 4074.253 3520.212 3286.814 3009.615 2737.981 2461.575 2228.887 1956.920 1694.876 1425.319 1123.366 960.292 793.556 2947.588 2548.611 2102.588 1745.630 1529.439 1348.624 1153.345 986.557 740.234 622.111 1010.230 804.329 621.327 706.260 604.067

L=5m 4601.386 4103.284 3642.241 3142.182 2931.330 2684.391 2437.928 2192.044 1981.655 1667.969 1441.634 1206.631 845.114 716.445 578.596 2542.000 2194.976 1806.990 1495.272 1308.025 1151.135 931.579 796.011 527.855 420.299 799.595 633.779 483.344 520.710 441.949

L=7m 4062.739 3618.521 3208.049 2762.462 2575.415 2355.154 2139.369 1920.915 1734.503 1380.090 1189.024 989.254 485.009 400.846 307.752 2138.291 1839.906 1511.628 1243.447 1087.312 953.307 684.278 580.728 268.890 214.404 538.636 419.712 305.785 283.642 236.626

L=9m 3525.896 3135.733 2775.953 2382.736 2218.973 2028.516 1840.659 1651.095 1487.828 1016.667 865.149 702.187 293.412 242.517 186.188 1698.063 1442.988 1170.418 939.938 816.953 705.882 413.874 351.216 162.696 129.693 325.885 253.851 184.942 171.540 143.161

L=12m 2534.606 2232.804 1957.151 1654.042 1534.831 1394.209 1260.653 1123.904 1003.240 572.003 486.540 394.953 165.017 136.423 104.724 954.921 811.947 658.466 528.552 459.572 396.895 232.793 197.568 91.513 72.961 183.295 142.803 104.042 96.504 80.532

391.896

236.368

120.618

72.968

41.043

432.138

236.467

120.631

72.963

41.046

445.035

236.458

120.615

72.965

41.043

*2 Nn = A . fy / ω

e8



Index

10" WF 10 x 10

10" WF 10 x 8 10" WF 10 x 5-3/4

8" WF 8x8



BJ 50

BJ 55

BJ 34

L=3m 5883.095 5254.866 4672.069 4036.822 3765.589 3448.053 3136.847 2820.209 2551.231 2231.171 1930.728 1623.792 1264.869 1080.660 892.136 3366.119 2910.574 2399.091 1991.946 1743.671 1537.601 1308.326 1119.169 830.763 696.431 1143.594 910.605 702.455 794.397 679.057

L=5m 5215.580 4651.267 4128.896 3559.312 3320.536 3040.871 2761.789 2481.219 2243.214 1871.958 1615.714 1351.750 918.250 776.172 603.049 2859.503 2467.465 2030.000 1678.947 1468.774 1290.840 1032.105 880.841 527.146 420.280 880.589 697.398 530.204 555.916 464.000

L=7m 4545.830 4049.338 3587.848 3085.600 2876.834 2631.014 2388.359 2144.661 1935.417 1511.043 1300.787 1079.310 484.987 400.904 307.739 2353.704 2024.667 1660.793 1364.600 1191.904 1044.213 684.020 580.638 268.893 214.409 538.795 419.704 305.752 283.556 236.687

L=9m 3873.962 3441.938 3047.886 2612.500 2431.799 2220.673 2015.314 1805.893 1626.872 1017.084 865.184 701.943 293.401 242.541 186.179 1697.594 1443.119 1170.937 939.637 817.161 705.722 413.952 351.164 162.679 129.714 325.928 253.834 184.950 171.563 143.169

L=12m 2534.815 2232.985 1957.464 1654.074 1535.426 1394.450 1260.725 1123.819 1002.922 571.963 486.589 394.867 165.028 136.420 104.727 954.896 811.926 658.515 528.634 459.577 396.904 232.833 197.567 91.506 72.959 183.311 142.787 104.048 96.507 80.532

L=3m 8048.429 7189.197 6386.175 5513.143 5147.610 4713.682 4284.312 3851.971 3484.812 3010.662 2603.342 2186.201 1649.598 1406.223 1152.854 4555.157 3935.571 3244.348 2689.628 2354.491 2074.699 1738.898 1486.454 1067.973 890.585 1511.198 1201.779 923.592 1030.121 879.193

L=5m 6922.417 6174.385 5477.470 4715.645 4399.529 4022.884 3656.930 3283.203 2966.433 2404.808 2073.788 1729.515 950.474 786.006 603.097 3703.696 3192.433 2623.769 2164.047 1890.777 1660.331 1273.158 1086.488 527.193 420.246 1056.196 822.713 599.309 555.879 463.761

L=7m 5797.870 5159.642 4564.559 3917.897 3650.978 3335.413 3028.470 2714.793 2446.307 1681.345 1429.694 1160.701 484.946 400.908 307.789 2805.437 2385.258 1935.668 1553.038 1350.588 1166.751 684.085 580.475 268.899 214.418 538.711 419.689 305.789 283.606 236.685

L=9m 4506.287 3969.866 3479.724 2940.343 2728.672 2478.310 2241.104 1998.811 1782.984 1017.110 864.940 701.976 293.381 242.546 186.189 1697.427 1443.357 1170.510 939.796 816.929 705.686 413.897 351.236 162.691 129.706 325.869 253.853 184.965 171.554 143.163

L=12m 2534.274 2232.516 1957.345 1654.133 1534.937 1393.944 1260.432 1124.039 1003.002 572.007 486.583 394.937 165.020 136.427 104.723 954.851 811.888 658.460 528.561 459.587 396.921 232.814 197.564 91.514 72.959 183.318 142.805 104.049 96.503 80.532

L=3m 4036.561 3602.439 3200.180 2762.860 2577.358 2360.144 2145.202 1928.763 1743.432 1494.500 1292.442 1083.759 799.861 680.383 555.637 2267.715 1957.748 1614.020 1337.164 1169.598 1030.718 854.483 729.947 512.162 425.533 739.525 587.814 450.435 497.443 423.635

L=5m 3399.695 3030.319 2686.601 2313.479 2155.222 1972.393 1790.344 1608.744 1451.563 1154.054 993.678 826.792 401.565 331.938 254.875 1786.546 1538.323 1263.054 1039.726 908.588 796.645 566.400 480.755 222.707 177.565 446.118 347.555 253.198 234.853 196.011

L=7m 2765.282 2457.116 2173.301 1863.129 1735.390 1583.855 1436.577 1288.151 1159.869 710.257 604.311 490.294 204.923 169.394 130.033 1185.608 1008.000 817.540 656.264 570.582 492.934 289.073 245.315 113.619 90.591 227.585 177.310 129.197 119.830 99.988

L=9m 1903.104 1676.469 1470.326 1242.588 1153.206 1046.969 946.818 844.118 753.607 429.686 365.496 296.582 123.960 102.473 78.658 717.259 609.852 494.597 396.986 345.241 298.171 174.883 148.398 68.738 54.801 137.676 107.264 78.152 72.488 60.492

L=12m 1070.603 943.323 827.032 698.846 648.638 589.011 532.569 474.903 423.878 241.698 205.595 166.854 69.725 57.642 44.248 403.416 342.978 278.217 223.353 194.161 167.715 98.366 83.468 38.664 30.825 77.448 60.330 43.960 40.772 34.024

493.157

236.427

120.613

72.963

41.043

611.468

236.439

120.627

72.966

41.045

277.421

99.877

50.964

30.829

17.341

*2 Nn = A . fy / ω

e9



Index L=3m 4539.270 4047.602 3598.935 10" WF 3104.509 10 x 10 2896.113 2652.074 2408.458 2165.493 1959.227 10" WF 1667.697 10 x 8 1441.167 1208.689 10" WF 875.332 10 x 5-3/4 743.529 604.927 2533.555 2187.417 1801.980 8" WF 8x8 1493.115 1306.056 1150.122 8" WF 945.401 8 x 6-1/2 807.692 8" WF 555.311 8 x 5-1/4 460.333 816.069 6" WF 6x6 647.863 495.743 5" WF 542.234 5x5 461.421 4"WF 277.444 4x4

BJ 37

BJ 41

BJ 50

L=5m 3762.066 3351.176 2971.429 2555.459 2380.828 2177.391 1978.003 1774.892 1601.724 1251.282 1076.513 894.286 401.674 332.025 254.850 1947.893 1676.650 1375.315 1130.025 987.013 864.176 566.715 480.793 222.668 177.544 446.118 347.507 253.149 234.830 196.011

L=7m 2986.292 2649.767 2343.154 2005.254 1865.908 1703.401 1544.407 1384.356 1244.196 710.126 604.127 490.379 204.889 169.380 130.042 1185.773 1008.069 817.595 656.432 570.509 492.780 289.062 245.324 113.629 90.587 227.577 177.310 129.193 119.830 99.993

L=9m 1903.866 1677.130 1470.231 1242.353 1152.844 1046.969 946.701 844.273 753.561 429.686 365.456 296.624 123.958 102.475 78.661 717.108 609.726 494.537 397.079 345.174 298.193 174.875 148.395 68.733 54.799 137.682 107.264 78.152 72.484 60.487

L=12m 1070.643 943.114 826.911 698.920 648.546 589.032 532.606 474.903 423.878 241.698 205.595 166.841 69.721 57.640 44.246 403.425 343.002 278.217 223.338 194.161 167.725 98.362 83.470 38.663 30.825 77.447 60.333 43.957 40.772 34.025

L=3m 4703.277 4193.905 3729.038 3213.972 3000.879 2748.025 2495.618 2243.870 2030.157 1723.164 1490.346 1249.002 898.693 763.039 619.565 2619.538 2263.569 1864.754 1543.938 1350.528 1188.359 974.670 833.333 568.727 470.571 839.830 666.784 509.993 556.258 473.142

L=5m 3875.912 3452.727 3061.594 2631.295 2453.305 2242.120 2035.382 1827.746 1649.503 1280.744 1101.367 914.670 401.606 332.049 254.871 1998.428 1718.165 1409.542 1157.718 1011.253 885.009 566.702 480.718 222.679 177.570 446.118 347.547 253.208 234.823 195.990

L=7m 3049.971 2706.670 2393.768 2046.726 1905.692 1730.477 1565.636 1395.507 1245.308 710.187 604.158 490.403 204.918 169.376 130.031 1185.634 1008.242 817.610 656.291 570.571 492.875 289.058 245.283 113.626 90.590 227.611 177.310 129.173 119.830 100.000

L=9m 1903.226 1676.821 1470.204 1242.463 1153.229 1047.261 946.800 844.316 753.447 429.686 365.475 296.612 123.958 102.475 78.659 717.269 609.803 494.565 397.070 345.186 298.174 174.872 148.378 68.734 54.801 137.691 107.259 78.152 72.488 60.491

L=12m 1070.834 943.134 827.012 698.830 648.623 589.038 532.616 474.867 423.814 241.687 205.605 166.844 69.722 57.640 44.247 403.428 342.991 278.202 223.334 194.161 167.712 98.361 83.463 38.664 30.825 77.451 60.331 43.959 40.771 34.026

L=3m 5346.875 4768.052 4235.955 3651.205 3406.191 3119.244 2832.847 2547.129 2302.650 1940.909 1676.209 1404.022 985.785 834.608 675.088 2955.814 2552.278 2101.115 1738.626 1520.899 1338.462 1084.437 926.615 616.087 493.325 931.301 738.642 563.255 606.897 515.367

L=5m 4310.427 3837.700 3401.110 2921.970 2722.612 2488.554 2259.302 2027.626 1827.748 1386.674 1183.967 961.165 401.637 332.029 254.868 2179.716 1871.571 1533.411 1256.336 1096.362 958.516 566.661 480.692 222.715 177.531 446.118 347.542 253.215 234.869 195.974

L=7m 3146.667 2772.612 2430.750 2053.333 1905.664 1731.013 1565.450 1395.540 1245.827 710.136 604.260 490.317 204.914 169.390 130.029 1185.653 1008.019 817.661 656.310 570.562 492.832 289.047 245.317 113.617 90.590 227.583 177.310 129.180 119.830 99.994

L=9m 1903.314 1677.077 1470.116 1242.372 1152.826 1047.094 946.786 844.160 753.594 429.686 365.537 296.634 123.956 102.467 78.661 717.276 609.768 494.542 397.042 345.223 298.177 174.864 148.383 68.737 54.802 137.684 107.255 78.152 72.487 60.490

L=12m 1070.769 943.198 826.999 698.818 648.612 589.057 532.651 474.935 423.851 241.678 205.587 166.857 69.723 57.641 44.246 403.437 343.000 278.192 223.349 194.161 167.711 98.365 83.466 38.663 30.825 77.448 60.332 43.959 40.773 34.025

99.880

50.964

30.829

17.341

277.501

99.881

50.959

30.828

17.341

277.427

99.883

50.960

30.829

17.341

*2 Nn = A . fy / ω

e 10



Section


Index

BJ 55

Komponen Tak Bergoyang Ncrb ( KN ) *3 kc = 0.8 ( jepit - sendi ) kc = 0.65 ( jepit - jepit )

L=3m 7138.033 6371.440 5651.713 10" WF 4868.750 10 x 10 4542.255 4156.437 3775.182 3391.848 3066.747 10" WF 2520.806 10 x 8 2174.732 1817.705 10" WF 1115.646 10 x 5-3/4 922.135 707.799 3868.671 3336.364 2743.382 8" WF 8x8 2264.847 1980.029 1739.394 8" WF 1363.244 8 x 6-1/2 1163.755 8" WF 618.468 8 x 5-1/4 493.222 1154.724 6" WF 6x6 912.449 689.937 5" WF 652.294 5x5 544.272 4"WF 277.479 4x4

L=5m 5405.587 4803.146 4250.920 3641.955 3392.247 3097.888 2809.807 2517.975 2268.553 1392.207 1184.444 961.273 401.603 331.992 254.863 2323.790 1975.536 1602.147 1286.574 1118.564 966.253 566.584 480.799 222.702 177.550 446.118 347.531 253.229 234.858 195.985

L=7m 3146.667 2772.016 2430.162 2054.212 1905.776 1731.265 1565.111 1395.600 1245.756 710.223 604.146 490.277 204.907 169.396 130.027 1185.688 1007.893 817.529 656.346 570.547 492.880 289.076 245.299 113.620 90.589 227.598 177.310 129.192 119.817 99.994

L=9m 1903.475 1676.641 1470.345 1242.527 1152.980 1047.058 946.761 844.299 753.492 429.686 365.486 296.631 123.952 102.473 78.663 717.165 609.807 494.582 397.053 345.181 298.182 174.867 148.379 68.734 54.800 137.683 107.258 78.152 72.486 60.489

99.888

50.961

30.829

*2 Nn = A . fy / ω

L=12m L=3m L=5m 1070.650 102902.39 37044.86 943.174 89237.22 32125.40 826.973 77394.42 27861.99 698.899 65157.03 23456.53 648.593 60092.15 21633.18 589.007 54592.10 19653.16 532.638 48962.89 17626.64 474.926 43669.77 15721.12 423.859 38872.95 13994.26 241.684 35412.00 12748.32 205.590 29838.98 10742.03 166.852 24423.64 8792.51 69.723 22393.55 8061.68 57.640 19016.92 6846.09 44.246 15132.53 5447.71 403.414 38650.46 13914.16 343.017 32423.06 11672.30 278.199 26223.30 9440.39 223.335 20928.30 7534.19 194.161 18010.78 6483.88 167.722 15639.99 5630.40 98.361 13964.00 5027.04 83.468 11774.93 4238.97 38.663 9853.32 3547.20 30.825 8053.93 2899.41 77.449 7577.52 2727.91 60.331 5935.26 2136.69 43.959 4285.74 1542.87 40.773 3635.75 1308.87 34.025 3039.10 1094.07 17.341

1642.65

591.35

L=7m 18900.44 16390.51 14215.30 11967.62 11037.33 10027.12 8993.18 8020.98 7139.93 6504.25 5480.63 4485.98 4113.10 3492.90 2779.44 7099.06 5955.26 4816.52 3843.97 3308.10 2872.65 2564.82 2162.74 1809.79 1479.29 1391.79 1090.15 787.18 667.79 558.20

L=9m 11433.60 9915.25 8599.38 7239.67 6676.91 6065.79 5440.32 4852.20 4319.22 3934.67 3315.44 2713.74 2488.17 2112.99 1681.39 4294.50 3602.56 2913.70 2325.37 2001.20 1737.78 1551.56 1308.33 1094.81 894.88 841.95 659.47 476.19 403.97 337.68

301.71

182.52

L=12m L=3m L=5m 6431.40 155875.82 56115.29 5577.33 135175.90 48663.32 4837.15 117236.51 42205.14 4072.31 98699.41 35531.79 3755.76 91027.17 32769.78 3412.01 82695.72 29770.46 3060.18 74168.64 26700.71 2729.36 66150.65 23814.23 2429.56 58884.47 21198.41 2213.25 53641.85 19311.07 1864.94 45199.88 16271.96 1526.48 36996.76 13318.83 1399.60 33921.59 12211.77 1188.56 28806.69 10370.41 945.78 22922.65 8252.16 2415.65 58547.44 21077.08 2026.44 49114.23 17681.12 1638.96 39722.87 14300.23 1308.02 31702.04 11412.73 1125.67 27282.60 9821.73 977.50 23691.34 8528.88 872.75 21152.58 7614.93 735.93 17836.58 6421.17 615.83 14925.75 5373.27 503.37 12200.04 4392.01 473.59 11478.37 4132.21 370.95 8990.69 3236.65 267.86 6492.01 2337.12 227.23 5507.42 1982.67 189.94 4603.60 1657.30 102.67

2488.27

895.78

L=7m 28630.25 24828.23 21533.24 18128.46 16719.28 15189.01 13622.81 12150.12 10815.52 9852.58 8302.02 6795.32 6230.50 5291.02 4210.28 10753.61 9020.98 7296.04 5822.82 5011.09 4351.47 3885.17 3276.11 2741.46 2240.82 2108.27 1651.35 1192.41 1011.57 845.56

L=9m 17319.54 15019.54 13026.28 10966.60 10114.13 9188.41 8240.96 7350.07 6542.72 5960.21 5022.21 4110.75 3769.07 3200.74 2546.96 6505.27 5457.14 4413.65 3522.45 3031.40 2632.37 2350.29 1981.84 1658.42 1355.56 1275.37 998.97 721.33 611.94 511.51

L=12m 9742.24 8448.49 7327.28 6168.71 5689.20 5168.48 4635.54 4134.42 3680.28 3352.62 2824.99 2312.30 2120.10 1800.42 1432.67 3659.21 3069.64 2482.68 1981.38 1705.16 1480.71 1322.04 1114.79 932.86 762.50 717.40 561.92 405.75 344.21 287.73

457.03

276.47

155.52

*3 Ncrb = π2. E . A/( Kc.L / rx )2

e 11



4


L=3m 65857.53 57111.82 49532.43 10" WF 41700.50 10 x 10 38458.98 34938.94 31336.25 27948.65 24878.69 10" WF 22663.68 10 x 8 19096.95 15631.13 10" WF 14331.87 10 x 5-3/4 12170.83 9684.82 24736.29 20750.76 16782.91 8" WF 8x8 13394.11 11526.90 10009.59 8" WF 8936.96 8 x 6-1/2 7535.95 8" WF 6306.13 8 x 5-1/4 5154.52 4849.61 6" WF 6x6 3798.57 2742.87 5" WF 2326.88 5x5 1945.02 4"WF 1051.29 4x4


Parameter

Konstanta

Konstanta

Øb Ny ( KN )

Puntir

Puntir

Torsi (J)

Lengkung (Iw)

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

L=5m 23708.71 20560.25 17831.67 15012.18 13845.23 12578.02 11281.05 10061.51 8956.33 8158.93 6874.90 5627.21 5159.47 4381.50 3486.54 8905.06 7470.27 6041.85 4821.88 4149.68 3603.45 3217.31 2712.94 2270.21 1855.63 1745.86 1367.48 987.43 837.68 700.21

L=7m 12096.28 10489.93 9097.79 7659.28 7063.89 6417.36 5755.64 5133.43 4569.56 4162.72 3507.60 2871.02 2632.38 2235.46 1778.84 4543.40 3811.36 3082.58 2460.14 2117.19 1838.50 1641.48 1384.15 1158.27 946.75 890.75 697.70 503.79 427.39 357.25

L=9m 7317.50 6345.76 5503.60 4633.39 4273.22 3882.10 3481.81 3105.41 2764.30 2518.19 2121.88 1736.79 1592.43 1352.31 1076.09 2748.48 2305.64 1864.77 1488.23 1280.77 1112.18 993.00 837.33 700.68 572.72 538.85 422.06 304.76 258.54 216.11

L=12m 4116.10 3569.49 3095.78 2606.28 2403.69 2183.68 1958.52 1746.79 1554.92 1416.48 1193.56 976.95 895.74 760.68 605.30 1546.02 1296.92 1048.93 837.13 720.43 625.60 558.56 471.00 394.13 322.16 303.10 237.41 171.43 145.43 121.56

4460.40 3987.90 3549.00 3072.30 2868.60 2629.20 2391.90 2152.50 1950.90 1793.40 1556.10 1314.60 1155.00 995.40 837.90 2669.10 2312.10 1911.00 1593.90 1396.50 1234.80 1115.10 955.50 795.90 678.30 995.40 795.90 621.60 739.20 636.30

5097.60 4557.60 4056.00 3511.20 3278.40 3004.80 2733.60 2460.00 2229.60 2049.60 1778.40 1502.40 1320.00 1137.60 957.60 3050.40 2642.40 2184.00 1821.60 1596.00 1411.20 1274.40 1092.00 909.60 775.20 1137.60 909.60 710.40 844.80 727.20

5310.00 4747.50 4225.00 3657.50 3415.00 3130.00 2847.50 2562.50 2322.50 2135.00 1852.50 1565.00 1375.00 1185.00 997.50 3177.50 2752.50 2275.00 1897.50 1662.50 1470.00 1327.50 1137.50 947.50 807.50 1185.00 947.50 740.00 880.00 757.50

6159.60 5507.10 4901.00 4242.70 3961.40 3630.80 3303.10 2972.50 2694.10 2476.60 2148.90 1815.40 1595.00 1374.60 1157.10 3685.90 3192.90 2639.00 2201.10 1928.50 1705.20 1539.90 1319.50 1099.10 936.70 1374.60 1099.10 858.40 1020.80 878.70

8708.40 7785.90 6929.00 5998.30 5600.60 5133.20 4669.90 4202.50 3808.90 3501.40 3038.10 2566.60 2255.00 1943.40 1635.90 5211.10 4514.10 3731.00 3111.90 2726.50 2410.80 2177.10 1865.50 1553.90 1324.30 1943.40 1553.90 1213.60 1443.20 1242.30

4014.36 3589.11 3194.10 2765.07 2581.74 2366.28 2152.71 1937.25 1755.81 1614.06 1400.49 1183.14 1039.50 895.86 754.11 2402.19 2080.89 1719.90 1434.51 1256.85 1111.32 1003.59 859.95 716.31 610.47 895.86 716.31 559.44 665.28 572.67

4587.84 4101.84 3650.40 3160.08 2950.56 2704.32 2460.24 2214.00 2006.64 1844.64 1600.56 1352.16 1188.00 1023.84 861.84 2745.36 2378.16 1965.60 1639.44 1436.40 1270.08 1146.96 982.80 818.64 697.68 1023.84 818.64 639.36 760.32 654.48

4779.00 4272.75 3802.50 3291.75 3073.50 2817.00 2562.75 2306.25 2090.25 1921.50 1667.25 1408.50 1237.50 1066.50 897.75 2859.75 2477.25 2047.50 1707.75 1496.25 1323.00 1194.75 1023.75 852.75 726.75 1066.50 852.75 666.00 792.00 681.75

5543.64 4956.39 4410.90 3818.43 3565.26 3267.72 2972.79 2675.25 2424.69 2228.94 1934.01 1633.86 1435.50 1237.14 1041.39 3317.31 2873.61 2375.10 1980.99 1735.65 1534.68 1385.91 1187.55 989.19 843.03 1237.14 989.19 772.56 918.72 790.83

378.47

193.09

116.81

65.71

527.10

602.40

627.50

727.90

1029.10

474.39

542.16

564.75

655.11

*3 Ncrb = π2. E . A/( Kc.L / rx )2

4

7837.56 7007.31 6236.10 5398.47 5040.54 4619.88 4202.91 3782.25 3428.01 3151.26 2734.29 2309.94 2029.50 1749.06 1472.31 4689.99 4062.69 3357.90 2800.71 2453.85 2169.72 1959.39 1678.95 1398.51 1191.87 1749.06 1398.51 1092.24 1298.88 1118.07

mm 5627718.96 4016238.63 2834543.59 1851118.78 1486142.71 1175175.33 891347.69 657881.81 481783.60 526305.45 326355.63 179241.33 200741.53 126744.61 62777.33 1863687.42 1203890.80 717256.34 388841.09 266902.04 180128.67 179986.03 113670.08 79036.42 42401.44 159424.53 82574.87 32286.01 103660.18 64647.40

mm6x(1011) 12.70 10.81 9.23 7.68 6.99 6.34 5.62 4.98 4.39 2.46 2.01 1.57 0.67 0.55 0.39 3.03 2.46 1.97 1.51 1.29 1.10 0.63 0.52 0.24 0.18 0.31 0.23 0.15 0.10 0.08

926.19

46505.34

0.03

*4 Ny = A . fy

e 12


Weight

Index

900 x 300

800 x 300

700 x 300

600 x 300

600 x 200

500 x 300 500 x 200 450 x 300 450 x 200

400 x 400

Section d

kg/m 286 243 213 241 210 191 215 185 166 175 151 137 134 120 106 94.6 128 114 103 89.7 79.5 124 106 76 66.2 605 415 283 232

mm 912 900 890 808 800 792 708 700 692 594 588 582 612 606 600 596 488 482 506 500 496 440 434 450 446 498 458 428 414

K = Kompak

Web

Flange


B mm 302 300 299 302 300 300 302 300 300 302 300 300 202 201 200 199 300 300 201 200 199 300 299 200 199 432 417 407 405

mm 18 16 15 16 14 14 15 13 13 14 12 12 13 12 11 10 11 11 11 10 9 11 10 9 8 45 30 20 18

t2 mm 34 28 23 30 26 22 28 24 20 23 20 17 23 20 17 15 18 15 19 16 14 18 15 14 12 70 50 35 28

NK = Non Kompak


Area

r

A

mm 28 28 28 28 28 28 28 28 28 28 28 28 22 22 22 22 26 26 20 20 20 24 24 18 18 22 22 22 22

Momen

Radius

Modulus

Centre

Modulus

Inersia

of Gyration

of Section


of Plastis

Ix 2

cm 364.0 309.8 270.9 307.6 267.4 243.4 273.6 235.5 211.5 222.4 192.5 174.5 107.7 152.5 134.4 120.5 163.5 145.5 131.3 114.2 101.3 157.4 135.0 96.8 84.3 770.1 528.6 360.7 295.4

Iy 4

cm 498000 411000 345000 339000 292000 254000 237000 201000 172000 137000 118000 103000 103000 90400 77600 68700 71000 60400 56500 47800 41900 56100 46800 33500 28700 298000 187000 119000 92800

rx 4

cm 15700 12600 10300 13800 11700 9930 12900 10800 9020 10600 9020 7670 3180 2720 2280 1980 8110 6760 2580 2140 1840 8110 6690 1870 1580 94400 60500 39400 31000

mm 370 364 357 332 330 323 294 293 286 249 248 243 246 243 240 239 208 204 207 205 203 189 186 186 185 197 188 182 177

ry mm 65.6 63.9 61.6 67.0 66.2 63.9 68.6 67.8 65.3 69.0 68.5 66.3 43.1 42.2 41.2 40.5 70.4 68.2 44.3 43.3 42.7 71.8 70.4 44.0 43.3 111.0 107.0 104.0 102.0

Sx

Sy 3

cm 10900 9140 7760 8400 7290 6410 6700 5760 4980 4620 4020 3530 3380 2980 2590 2310 2910 2500 2230 1910 1690 2550 2160 1490 1290 12000 8170 5570 4480

Cx 3

cm 1040 843 688 915 782 662 853 722 602 701 601 511 314 271 228 199 541 451 257 214 185 541 448 187 159 4370 2900 1930 1530

mm 112.59 112.53 115.93 94.06 91.79 96.65 77.76 75.51 79.85 63.27 60.79 63.90 77.87 77.89 78.39 77.94 46.62 49.20 59.47 59.59 58.96 40.51 40.43 51.47 50.98 61.26 48.50 39.00 36.84

Cy mm 44.75 42.73 40.05 46.34 45.45 42.54 48.34 47.40 44.26 48.78 48.21 45.45 29.18 28.13 26.89 26.17 50.77 47.77 30.57 29.32 28.61 52.58 50.78 30.07 29.25 87.32 83.93 81.54 78.92

Zx


3

mm 12500124.00 10454820.60 8914506.30 9533754.40 8241535.40 7286179.00 7557926.40 6464239.50 5629072.50 5198155.20 4489292.50 3962895.00 2456960.10 3432927.50 2978438.40 2651723.00 3227163.00 2790690.00 2541048.90 2174482.20 1914975.20 2825172.60 2383695.00 1679076.28 1450128.60 14457857.40 9541230.00 6312250.00 5026526.40

mm3 1628900.00 1323775.40 1084954.50 1425418.40 1215333.00 1035423.60 1322582.40 1116270.00 936099.00 1084867.20 928042.50 793102.50 314268.60 428982.50 361401.60 315348.50 830089.50 695053.50 401384.10 334834.40 289819.30 827609.20 685530.00 290957.32 246577.50 6724513.20 4436539.80 2941147.80 2331296.80




K K K K K K K K K K K K K K K K K NK K K K K K K K K K K K

K K K K K K K K K K K NK K K K K K NK K K K K NK K K K K K K

S = Slender

f1


900 x 300

800 x 300

700 x 300

600 x 300

600 x 200

500 x 300 500 x 200 450 x 300 450 x 200

400 x 400



2




BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm 3563.050 3470.714 3345.790 3639.090 3595.638 3470.714 3725.994 3682.542 3546.755 3747.720 3720.562 3601.070 2340.967 2292.084 2237.769 2199.749 3823.760 3704.268 2406.145 2351.830 2319.241 3899.801 3823.760 2389.850 2351.830 6028.940 5811.681 5648.737 5540.107

mm 3332.928 3246.556 3129.700 3404.057 3363.412 3246.556 3485.348 3444.703 3317.686 3505.671 3480.267 3368.492 2189.774 2144.048 2093.241 2057.676 3576.800 3465.025 2250.742 2199.935 2169.451 3647.930 3576.800 2235.500 2199.935 5639.557 5436.330 5283.910 5182.296

mm 3265.589 3180.962 3066.468 3335.281 3295.457 3180.962 3414.930 3375.106 3250.655 3434.842 3409.952 3300.435 2145.532 2100.729 2050.949 2016.103 3504.534 3395.018 2205.268 2155.488 2125.620 3574.227 3504.534 2190.334 2155.488 5525.615 5326.494 5177.153 5077.592

mm 3032.023 2953.449 2847.144 3096.731 3059.755 2953.449 3170.683 3133.707 3018.157 3189.171 3166.061 3064.377 1992.076 1950.478 1904.258 1871.905 3253.878 3152.195 2047.540 2001.320 1973.588 3318.586 3253.878 2033.674 2001.320 5130.405 4945.525 4806.866 4714.426

mm 2549.996 2483.914 2394.509 2604.417 2573.320 2483.914 2666.612 2635.515 2538.335 2682.161 2662.725 2577.207 1675.379 1640.394 1601.522 1574.312 2736.582 2651.063 1722.025 1683.153 1659.830 2791.002 2736.582 1710.363 1683.153 4314.781 4159.293 4042.677 3964.934

mm 11104.873 9892.990 8964.461 11247.236 10379.867 9455.289 11902.758 10846.748 9763.415 11788.053 10873.019 9903.850 5816.500 6708.503 6158.178 5835.799 11599.914 10409.034 7489.502 6757.285 6333.877 12579.710 11190.219 6753.909 6305.159 72474.544 50521.050 34690.591 27687.020

mm 9617.912 8680.745 7948.228 9745.538 9081.782 8352.997 10263.342 9456.235 8606.660 10183.594 9486.758 8726.921 5036.734 5865.632 5436.452 5182.521 10061.057 9136.535 6484.932 5919.736 5591.785 10820.960 9752.856 5927.344 5579.744 59707.345 41658.955 28704.091 23033.680

mm 9231.385 8361.871 7677.575 9355.049 8741.343 8060.781 9838.490 9092.805 8300.800 9767.285 9124.171 8415.876 4834.065 5644.724 5245.287 5008.162 9660.601 8801.694 6223.851 5699.795 5395.216 10365.845 9377.279 5709.881 5387.021 56398.231 39363.460 27156.780 21834.036

mm 8028.545 7357.455 6815.000 8139.438 7672.137 7133.476 8520.907 7955.332 7332.567 8474.376 7988.481 7431.671 4203.473 4951.385 4639.141 4451.386 8412.938 7746.626 5411.563 5008.155 4771.906 8956.809 8202.107 5024.773 4774.208 46173.725 32276.663 22392.269 18149.920

mm 6053.940 5659.870 5319.085 6142.014 5877.184 5540.131 6377.390 6061.315 5677.780 6363.039 6094.018 5751.261 3168.679 3789.218 3599.452 3481.772 6358.566 5962.052 4078.830 3843.621 3702.669 6675.251 6246.576 3866.378 3716.629 29957.213 21070.531 14919.309 12403.075

KNm 2625.026 2195.512 1872.046 2002.088 1730.722 1530.098 1587.165 1357.490 1182.105 1091.613 942.751 832.208 515.962 720.915 625.472 556.862 677.704 586.045 533.620 456.641 402.145 593.286 500.576 352.606 304.527 3036.150 2003.658 1325.573 1055.571

KNm 3000.030 2509.157 2139.482 2288.101 1977.968 1748.683 1813.902 1551.417 1350.977 1247.557 1077.430 951.095 589.670 823.903 714.825 636.414 774.519 669.766 609.852 521.876 459.594 678.041 572.087 402.978 348.031 3469.886 2289.895 1514.940 1206.366

KNm 3125.031 2613.705 2228.627 2383.439 2060.384 1821.545 1889.482 1616.060 1407.268 1299.539 1122.323 990.724 614.240 858.232 744.610 662.931 806.791 697.673 635.262 543.621 478.744 706.293 595.924 419.769 362.532 3614.464 2385.308 1578.063 1256.632

KNm 3625.036 3031.898 2585.207 2764.789 2390.045 2112.992 2191.799 1874.629 1632.431 1507.465 1301.895 1149.240 712.518 995.549 863.747 769.000 935.877 809.203 736.904 630.600 555.343 819.300 691.272 486.932 420.537 4192.779 2766.957 1830.553 1457.693

KNm 5125.051 4286.476 3654.948 3908.839 3379.030 2987.333 3098.750 2650.338 2307.920 2131.244 1840.610 1618.280 1007.354 1407.500 1221.160 1087.206 1323.137 1127.799 1041.830 891.538 785.140 1158.321 964.969 688.421 594.553 5927.722 3911.904 2588.023 2060.876

(*1) Lp = 1,76.ry.√(E/fy)

(*2) Lr = ry (x1/fL) √ (1+(√(1+x2.fL2))

(*3) Mn = Mp


Mn = Mr ( λr/λ )2

f2


900 x 300

800 x 300

700 x 300

600 x 300

600 x 200

500 x 300 500 x 200 450 x 300 450 x 200

400 x 400


4

Mn (KNm) (*5)


BJ 37

BJ 41

BJ 50

BJ 55

KNm 342.069 277.993 227.840 299.338 255.220 217.439 277.742 234.417 196.581 227.822 194.889 166.552 65.996 90.086 75.894 66.223 174.319 145.961 84.291 70.315 60.862 173.798 143.961 61.101 51.781 1412.148 931.673 617.641 489.572

KNm 390.936 317.706 260.389 342.100 291.680 248.502 317.420 267.905 224.664 260.368 222.730 190.345 75.424 102.956 86.736 75.684 199.221 166.813 96.332 80.360 69.557 198.626 164.527 69.830 59.179 1613.883 1064.770 705.875 559.511

KNm 407.225 330.944 271.239 356.355 303.833 258.856 330.646 279.068 234.025 271.217 232.011 198.276 78.567 107.246 90.350 78.837 207.522 173.763 100.346 83.709 72.455 206.902 171.383 72.739 61.644 1681.128 1109.135 735.287 582.824

KNm 472.381 383.895 314.637 413.371 352.447 300.273 383.549 323.718 271.469 314.611 269.132 230.000 91.138 124.405 104.806 91.451 240.726 201.484 116.401 97.102 84.048 240.007 198.804 84.378 71.507 1950.109 1286.597 852.933 676.076

KNm 667.849 542.748 444.831 584.422 498.287 424.524 542.259 457.671 383.801 444.796 380.497 320.932 128.850 175.883 148.175 129.293 340.337 271.217 164.567 137.282 118.826 339.320 267.958 119.293 101.097 2757.050 1818.981 1205.871 955.832

(*4) Mn = Mp


BJ 34 L=3m 2625.026 2195.512 1872.046 2002.088 1730.722 1530.098 1587.165 1357.490 1182.105 1091.613 942.751 832.208 515.962 720.915 625.472 556.862 677.704 586.045 533.620 456.641 402.145 593.286 500.576 352.606 304.527 3036.150 2003.658 1325.573 1055.571

L=5m 2625.026 2195.512 1870.446 2002.088 1730.722 1530.098 1587.165 1357.490 1182.105 1091.613 942.751 832.208 515.962 609.550 501.895 429.854 677.704 586.045 479.527 390.890 332.427 593.286 500.576 303.782 252.525 3036.150 2003.658 1325.573 1055.571

Mn = Mr ( λr/λ )2

L=7m 2421.564 1929.089 1551.638 1866.365 1566.792 1318.953 1513.050 1256.625 1040.534 1039.324 876.138 740.919 515.962 448.544 341.169 277.796 646.717 535.819 380.215 289.770 231.453 580.137 473.245 225.528 175.356 3036.150 2003.658 1325.573 1055.571

BJ 37 L=9m 2089.313 1603.927 1232.704 1618.804 1328.139 1077.908 1332.037 1081.241 862.692 913.188 755.020 618.646 415.488 320.643 239.885 192.651 567.463 455.551 281.640 205.975 162.200 518.070 411.907 159.566 121.977 3036.150 2003.658 1325.573 1055.571

(*5) Mn = Mp

L=12m 1574.944 1109.016 797.844 1231.203 950.626 719.135 1059.547 800.101 588.573 721.078 560.123 426.028 295.142 225.191 165.892 131.419 444.284 325.703 199.707 143.913 111.807 424.970 313.396 111.005 83.463 3036.150 2003.658 1325.573 1055.571

L=3m 3000.030 2509.157 2139.482 2288.101 1977.968 1748.683 1813.902 1551.417 1350.977 1247.557 1077.430 951.095 589.670 823.903 714.825 636.414 774.519 669.766 609.852 521.876 459.594 678.041 572.087 402.978 348.031 3469.886 2289.895 1514.940 1206.366

L=5m 3000.030 2509.018 2076.044 2288.101 1977.968 1735.538 1813.902 1551.417 1350.977 1247.557 1077.430 951.095 589.670 661.660 542.798 463.906 774.519 669.766 524.428 425.736 361.486 678.041 572.087 331.623 275.175 3469.886 2289.895 1514.940 1206.366

L=7m 2657.086 2108.183 1687.908 2052.433 1719.363 1441.306 1668.891 1382.821 1139.792 1146.528 965.048 813.070 573.775 448.544 341.169 277.796 714.547 589.615 389.737 289.770 231.453 642.690 522.718 225.528 175.356 3469.886 2289.895 1514.940 1206.366


L=9m 2240.979 1672.430 1232.704 1743.194 1424.845 1103.514 1441.865 1165.795 900.253 988.736 815.478 652.008 415.488 320.643 239.885 192.651 616.157 491.217 281.640 205.975 162.200 564.961 447.080 159.566 121.977 3469.886 2289.895 1514.940 1206.366

L=12m 1574.944 1109.016 797.844 1231.203 950.626 719.135 1059.547 800.101 588.573 721.078 560.123 426.028 295.142 225.191 165.892 131.419 444.284 325.703 199.707 143.913 111.807 431.925 313.396 111.005 83.463 3469.886 2289.895 1514.940 1181.614

Mn = Mcr ≤ Mp

f3


Section Index

900 x 300

800 x 300

700 x 300

600 x 300

600 x 200

500 x 300 500 x 200 450 x 300 450 x 200

400 x 400

BJ 41 L=3m 3125.031 2613.705 2228.627 2383.439 2060.384 1821.545 1889.482 1616.060 1407.268 1299.539 1122.323 990.724 614.240 858.232 744.610 662.931 806.791 697.673 635.262 543.621 478.744 706.293 595.924 419.769 362.532 3614.464 2385.308 1578.063 1256.632

L=5m 3125.031 2591.971 2143.000 2383.439 2060.384 1792.800 1889.482 1616.060 1402.549 1299.539 1122.323 990.724 614.240 678.240 555.840 474.781 806.791 697.673 538.789 436.908 370.840 706.293 595.924 340.599 282.502 3614.464 2385.308 1578.063 1256.632

(*5) Mn = Mp

L=7m 2732.589 2165.754 1731.696 2112.333 1768.635 1480.809 1719.145 1423.657 1171.906 1181.142 993.874 836.473 573.775 448.544 341.169 277.796 736.561 607.088 389.737 289.770 231.453 662.973 538.813 225.528 175.356 3614.464 2385.308 1578.063 1256.632

BJ 50 L=9m 2288.104 1672.430 1232.704 1782.274 1430.258 1103.514 1476.548 1192.670 900.253 1012.661 834.781 652.008 415.488 320.643 239.885 192.651 631.751 495.333 281.640 205.975 162.200 579.955 458.401 159.566 121.977 3614.464 2385.308 1578.063 1256.632

L=12m 1574.944 1109.016 797.844 1231.203 950.626 719.135 1059.547 800.101 588.573 721.078 560.123 426.028 295.142 225.191 165.892 131.419 444.284 325.703 199.707 143.913 111.807 431.925 313.396 111.005 83.463 3614.464 2385.308 1578.063 1220.521

L=3m 3625.036 3031.898 2585.207 2764.789 2390.045 2112.992 2191.799 1874.629 1632.431 1507.465 1301.895 1149.240 712.518 995.549 850.413 746.635 935.877 809.300 736.904 630.600 555.343 819.300 691.272 486.932 420.537 4192.779 2766.957 1830.553 1457.693


L=5m 3581.588 2915.426 2404.058 2757.392 2347.606 2016.550 2191.799 1869.045 1579.852 1507.465 1301.895 1121.854 712.518 736.961 573.975 476.017 935.877 803.716 593.636 479.679 391.165 819.300 691.272 375.194 299.305 4192.779 2766.957 1830.553 1457.693

L=7m 3021.670 2386.793 1862.553 2342.877 1958.948 1633.211 1912.975 1581.810 1296.158 1314.863 1105.773 927.313 573.775 448.544 341.169 277.796 822.144 675.037 389.737 289.770 231.453 741.736 601.569 225.528 175.356 4192.779 2766.957 1830.553 1457.693

BJ 55 L=9m 2321.899 1672.430 1232.704 1820.050 1430.258 1103.514 1557.106 1197.834 900.253 1063.778 840.932 652.008 415.488 320.643 239.885 192.651 661.388 495.333 281.640 205.975 162.200 634.987 470.876 159.566 121.977 4192.779 2766.957 1830.553 1457.693

L=12m 1574.944 1109.016 797.844 1231.203 950.626 719.135 1059.547 800.101 588.573 721.078 560.123 426.028 295.142 225.191 165.892 131.419 444.284 325.703 199.707 143.913 111.807 431.925 313.396 111.005 83.463 4192.779 2766.957 1804.644 1369.931

L=3m 5125.051 4286.476 3654.948 3908.839 3379.030 2987.333 3098.750 2650.338 2307.920 2131.244 1840.610 1624.787 1007.354 1320.141 1120.370 982.256 1323.137 1144.183 1012.356 848.103 737.601 1158.321 977.315 660.816 562.659 5927.722 3911.904 2588.023 2060.876

L=5m 4711.428 3821.891 3134.214 3643.303 3098.139 2647.294 2944.222 2476.950 2081.541 2027.301 1730.369 1482.792 924.182 736.961 573.975 476.017 1270.622 1066.446 629.799 480.066 391.165 1131.615 935.565 376.135 299.305 5927.722 3911.904 2588.023 2060.876

L=7m 3366.596 2475.903 1862.553 2645.779 2113.057 1658.073 2250.777 1761.829 1349.043 1543.395 1240.028 977.515 573.775 448.544 341.169 277.796 967.781 738.683 389.737 289.770 231.453 918.192 694.825 225.528 175.356 5927.722 3911.904 2588.023 2060.876

L=9m 2321.899 1672.430 1232.704 1820.050 1430.258 1103.514 1557.106 1197.834 900.253 1063.778 840.932 652.008 415.488 320.643 239.885 192.651 661.388 495.333 281.640 205.975 162.200 634.987 470.876 159.566 121.977 5927.722 3911.904 2588.023 1983.649

L=12m 1574.944 1109.016 797.844 1231.203 950.626 719.135 1059.547 800.101 588.573 721.078 560.123 426.028 295.142 225.191 165.892 131.419 444.284 325.703 199.707 143.913 111.807 431.925 313.396 111.005 83.463 5927.722 3860.142 2371.349 1765.728


f4


Section Index

900 x 300

800 x 300

700 x 300

600 x 300

600 x 200

500 x 300 500 x 200 450 x 300 450 x 200

400 x 400

BJ 34 L=3m 1914.19 1701.50 1595.16 1507.97 1319.47 1319.47 1232.28 1067.98 1067.98 966.67 828.58 828.58 927.11 855.79 784.48 713.16 626.47 626.47 648.65 589.68 530.71 559.94 509.04 478.55 425.38 2029.86 1353.24 902.16 811.94

L=5m 1914.19 1701.50 1595.16 1507.97 1319.47 1319.47 1232.28 1067.98 1067.98 966.67 828.58 828.58 927.11 855.79 784.48 713.16 626.47 626.47 648.65 589.68 530.71 559.94 509.04 478.55 425.38 2029.86 1353.24 902.16 811.94

*1 Vn = 0.6 fy Aw

L=7m 1914.19 1701.50 1595.16 1507.97 1319.47 1319.47 1232.28 1067.98 1067.98 966.67 828.58 828.58 927.11 855.79 784.48 713.16 626.47 626.47 648.65 589.68 530.71 559.94 509.04 478.55 425.38 2029.86 1353.24 902.16 811.94

BJ 37 L=9m 1914.19 1701.50 1595.16 1507.97 1319.47 1319.47 1232.28 1067.98 1067.98 966.67 828.58 828.58 927.11 855.79 784.48 713.16 626.47 626.47 648.65 589.68 530.71 559.94 509.04 478.55 425.38 2029.86 1353.24 902.16 811.94

L=12m 1914.19 1701.50 1595.16 1507.97 1319.47 1319.47 1232.28 1067.98 1067.98 966.67 828.58 828.58 927.11 855.79 784.48 713.16 626.47 626.47 648.65 589.68 530.71 559.94 509.04 478.55 425.38 2029.86 1353.24 902.16 811.94


L=3m 2187.65 1944.58 1823.04 1723.39 1507.97 1507.97 1408.32 1220.54 1220.54 1104.77 946.94 946.94 1059.55 978.05 896.54 815.04 715.97 715.97 741.31 673.92 606.53 639.94 581.76 546.91 486.14 2319.84 1546.56 1031.04 927.94

L=5m 2187.65 1944.58 1823.04 1723.39 1507.97 1507.97 1408.32 1220.54 1220.54 1104.77 946.94 946.94 1059.55 978.05 896.54 815.04 715.97 715.97 741.31 673.92 606.53 639.94 581.76 546.91 486.14 2319.84 1546.56 1031.04 927.94

L=7m 2187.65 1944.58 1823.04 1723.39 1507.97 1507.97 1408.32 1220.54 1220.54 1104.77 946.94 946.94 1059.55 978.05 896.54 815.04 715.97 715.97 741.31 673.92 606.53 639.94 581.76 546.91 486.14 2319.84 1546.56 1031.04 927.94

BJ 41 L=9m 2187.65 1944.58 1823.04 1723.39 1507.97 1507.97 1408.32 1220.54 1220.54 1104.77 946.94 946.94 1059.55 978.05 896.54 815.04 715.97 715.97 741.31 673.92 606.53 639.94 581.76 546.91 486.14 2319.84 1546.56 1031.04 927.94

L=12m 2187.65 1944.58 1823.04 1723.39 1507.97 1507.97 1408.32 1220.54 1220.54 1104.77 946.94 946.94 1059.55 978.05 896.54 815.04 715.97 715.97 741.31 673.92 606.53 639.94 581.76 546.91 486.14 2319.84 1546.56 1031.04 927.94

L=3m 2278.80 2025.60 1899.00 1795.20 1570.80 1570.80 1467.00 1271.40 1271.40 1150.80 986.40 986.40 1103.70 1018.80 933.90 849.00 745.80 745.80 772.20 702.00 631.80 666.60 606.00 569.70 506.40 2416.50 1611.00 1074.00 966.60

L=5m 2278.80 2025.60 1899.00 1795.20 1570.80 1570.80 1467.00 1271.40 1271.40 1150.80 986.40 986.40 1103.70 1018.80 933.90 849.00 745.80 745.80 772.20 702.00 631.80 666.60 606.00 569.70 506.40 2416.50 1611.00 1074.00 966.60

L=7m 2278.80 2025.60 1899.00 1795.20 1570.80 1570.80 1467.00 1271.40 1271.40 1150.80 986.40 986.40 1103.70 1018.80 933.90 849.00 745.80 745.80 772.20 702.00 631.80 666.60 606.00 569.70 506.40 2416.50 1611.00 1074.00 966.60

BJ 50 L=9m 2278.80 2025.60 1899.00 1795.20 1570.80 1570.80 1467.00 1271.40 1271.40 1150.80 986.40 986.40 1103.70 1018.80 933.90 849.00 745.80 745.80 772.20 702.00 631.80 666.60 606.00 569.70 506.40 2416.50 1611.00 1074.00 966.60

L=12m 2278.80 2025.60 1899.00 1795.20 1570.80 1570.80 1467.00 1271.40 1271.40 1150.80 986.40 986.40 1103.70 1018.80 933.90 849.00 745.80 745.80 772.20 702.00 631.80 666.60 606.00 569.70 506.40 2416.50 1611.00 1074.00 966.60

L=3m 2643.41 2349.70 2202.84 2082.43 1822.13 1822.13 1701.72 1474.82 1474.82 1334.93 1144.22 1144.22 1280.29 1181.81 1083.32 984.84 865.13 865.13 895.75 814.32 732.89 773.26 702.96 660.85 587.42 2803.14 1868.76 1245.84 1121.26

L=5m 2643.41 2349.70 2202.84 2082.43 1822.13 1822.13 1701.72 1474.82 1474.82 1334.93 1144.22 1144.22 1280.29 1181.81 1083.32 984.84 865.13 865.13 895.75 814.32 732.89 773.26 702.96 660.85 587.42 2803.14 1868.76 1245.84 1121.26

L=7m 2643.41 2349.70 2202.84 2082.43 1822.13 1822.13 1701.72 1474.82 1474.82 1334.93 1144.22 1144.22 1280.29 1181.81 1083.32 984.84 865.13 865.13 895.75 814.32 732.89 773.26 702.96 660.85 587.42 2803.14 1868.76 1245.84 1121.26

L=9m 2643.41 2349.70 2202.84 2082.43 1822.13 1822.13 1701.72 1474.82 1474.82 1334.93 1144.22 1144.22 1280.29 1181.81 1083.32 984.84 865.13 865.13 895.75 814.32 732.89 773.26 702.96 660.85 587.42 2803.14 1868.76 1245.84 1121.26

L=12m 2643.41 2349.70 2202.84 2082.43 1822.13 1822.13 1701.72 1474.82 1474.82 1334.93 1144.22 1144.22 1280.29 1181.81 1083.32 984.84 865.13 865.13 895.75 814.32 732.89 773.26 702.96 660.85 587.42 2803.14 1868.76 1245.84 1121.26

Vn = (0.9 Aw Kn E)/(h/tw)2

f5

Kuat Geser Nominal


Section

Vn (KN) *1


Index

BJ 55

900 x 300

800 x 300

700 x 300

600 x 300

600 x 200

500 x 300 500 x 200 450 x 300 450 x 200

400 x 400

L=3m 3737.23 3321.98 3114.36 2944.13 2576.11 2576.11 2405.88 2085.10 2085.10 1887.31 1617.70 1617.70 1810.07 1670.83 1531.60 1359.97 1223.11 1223.11 1266.41 1151.28 1036.15 1093.22 993.84 934.31 830.50 3963.06 2642.04 1761.36 1585.22

L=5m 3737.23 3321.98 3049.43 2944.13 2576.11 2576.11 2405.88 2085.10 2085.10 1887.31 1617.70 1617.70 1810.07 1670.83 1531.60 1344.93 1223.11 1223.11 1266.41 1151.28 1036.15 1093.22 993.84 934.31 830.50 3963.06 2642.04 1761.36 1585.22

*1 Vn = 0.6 fy Aw

L=7m 3737.23 3321.98 3028.67 2944.13 2576.11 2576.11 2405.88 2085.10 2085.10 1887.31 1617.70 1617.70 1810.07 1670.83 1531.60 1340.76 1223.11 1223.11 1266.41 1151.28 1036.15 1093.22 993.84 934.31 830.50 3963.06 2642.04 1761.36 1585.22

BJ 34 L=9m 3737.23 3321.98 3020.09 2944.13 2576.11 2576.11 2405.88 2085.10 2085.10 1887.31 1617.70 1617.70 1810.07 1670.83 1531.60 1339.04 1223.11 1223.11 1266.41 1151.28 1036.15 1093.22 993.84 934.31 830.50 3963.06 2642.04 1761.36 1585.22

L=12m 3737.23 3321.98 3014.32 2944.13 2576.11 2576.11 2405.88 2085.10 2085.10 1887.31 1617.70 1617.70 1810.07 1670.83 1531.60 1337.88 1223.11 1223.11 1266.41 1151.28 1036.15 1093.22 993.84 934.31 830.50 3963.06 2642.04 1761.36 1585.22


L=3m L=5m L=7m L=9m 7204.524 6301.731 5402.120 4499.117 6097.282 5310.857 4524.200 3736.818 5292.000 4580.435 3864.742 3132.223 6111.258 5365.116 4617.298 3874.985 5297.547 4644.665 3985.380 3330.605 4790.440 4172.571 3554.520 2935.899 5456.410 4812.060 4163.478 3514.128 4687.678 4121.250 3560.475 2995.457 4182.203 3655.556 3127.817 2603.458 4439.544 3918.121 3394.186 2870.559 3839.031 3382.845 2927.227 2469.456 3460.340 3031.017 2604.478 2177.362 1921.580 1516.901 1007.439 609.417 2702.532 2115.258 1367.859 827.252 2363.819 1833.918 1149.069 694.958 2106.994 1623.156 995.280 602.142 3276.240 2899.916 2522.777 2144.597 2898.956 2552.632 2206.137 1859.708 2362.725 1882.116 1297.553 784.996 2041.021 1612.777 1078.449 652.128 1802.797 1417.255 929.967 562.592 3163.062 2808.326 2453.898 2097.335 2705.153 2394.426 2083.027 1770.768 1738.204 1380.408 943.452 570.575 1506.638 1190.518 796.088 481.387 16172.100 15271.105 14148.819 13021.014 11100.600 10413.321 9610.909 8810.000 7574.700 7065.951 6507.474 5940.941 6203.400 5765.242 5297.523 4823.795 Vn = (0.9 Aw Kn E)/(h/tw)2

BJ 37 L=12m L=3m 2684.460 8126.512 2167.697 6878.076 1761.269 5964.771 2366.154 6892.997 2008.190 5975.419 1703.090 5403.885 2206.663 6159.850 1854.852 5292.135 1545.542 4717.472 1814.628 5011.831 1547.368 4333.959 1314.030 3903.075 342.812 2148.628 465.311 3019.802 390.914 2639.607 338.642 2351.220 1388.675 3698.398 1159.583 3272.727 441.521 2643.624 366.908 2282.098 316.504 2014.250 1390.284 3573.888 1146.613 3053.723 321.005 1944.925 270.843 1684.596 11332.936 18482.400 7608.362 12686.400 5097.376 8656.800 4119.124 7075.449

L=5m L=7m L=9m L=12m 7022.508 5922.712 4770.512 2683.871 5915.036 4953.498 3852.435 2167.697 5095.298 4221.818 3131.415 1761.355 5982.496 5070.330 4161.443 2366.154 5179.661 4374.642 3575.265 2007.853 4647.255 3891.805 3026.736 1703.090 5369.092 4579.079 3786.851 2206.266 4598.861 3911.419 3222.349 1854.635 4073.836 3429.730 2747.497 1545.205 4375.082 3735.199 3094.261 1813.968 3774.510 3219.512 2659.758 1547.739 3380.145 2858.703 2337.054 1314.398 1652.685 1007.228 609.443 342.812 2303.335 1367.585 827.352 465.353 1989.883 1148.923 694.985 390.923 1760.195 995.097 602.030 338.691 3237.624 2779.037 2316.411 1388.412 2848.287 2426.685 2002.294 1159.651 2055.577 1297.458 784.857 441.499 1758.050 1077.994 652.183 366.846 1543.619 930.158 562.615 316.459 3140.150 2704.080 2268.829 1390.101 2673.267 2294.618 1912.633 1146.395 1507.948 943.521 570.575 320.973 1297.755 795.752 481.428 270.798 17241.045 15864.721 14484.639 12420.968 11746.667 10769.440 9781.342 8313.499 7963.937 7274.622 6593.145 5556.354 6498.258 5922.807 5346.606 4484.250 *2 Nn = A . fy / ω

f6



Index

900 x 300

800 x 300

700 x 300

600 x 300

600 x 200

500 x 300 500 x 200 450 x 300 450 x 200

400 x 400

L=3m 8425.926 7131.676 6190.585 7153.488 6201.299 5603.131 6392.523 5492.071 4891.304 5201.123 4497.664 4050.604 2221.535 3122.441 2727.273 2429.435 3838.028 3396.359 2735.417 2359.504 2082.648 3708.765 3169.014 2010.806 1741.736 19252.500 13228.228 8990.528 7348.259

L=5m 7256.778 6112.865 5258.152 6181.672 5348.000 4802.684 5551.948 4755.654 4209.793 4524.003 3903.082 3492.794 1695.529 2359.220 2038.835 1800.658 3350.410 2945.344 2109.576 1803.538 1582.813 3246.700 2766.393 1546.675 1331.333 17876.045 12179.724 8257.784 6738.139

BJ 41

BJ 50

L=7m 6082.888 5088.699 4330.243 5213.559 4498.654 3998.029 4707.502 4021.516 3525.000 3842.433 3309.835 2937.710 1007.484 1367.713 1148.718 995.456 2860.392 2494.856 1297.431 1078.376 930.211 2784.855 2361.791 943.080 796.034 16413.043 11142.496 7527.129 6123.549

L=9m L=12m L=3m L=5m L=7m L=9m L=12m L=3m L=5m 4770.642 2684.366 9622.607 8157.651 6693.722 4771.073 2684.298 13011.334 10554.455 3853.234 2167.191 8137.862 6858.168 5580.248 3853.812 2167.479 10987.716 8845.265 3131.792 1761.378 7052.154 5893.548 4732.590 3131.480 1761.457 9501.198 7555.714 4205.058 2366.154 8168.864 6952.767 5747.680 4205.256 2366.154 11062.807 9027.631 3570.093 2008.261 7081.826 6015.981 4951.852 3569.436 2007.663 9583.392 7792.040 3027.363 1702.693 6393.659 5388.244 4384.224 3027.818 1702.919 8632.699 6949.443 3868.778 2206.452 7299.356 6247.559 5199.476 3923.066 2206.298 9900.794 8134.590 3290.945 1855.061 6271.350 5352.273 4437.622 3297.284 1855.212 8499.560 6956.412 2746.753 1545.488 5586.066 4728.990 3877.054 2747.368 1545.449 7546.997 6115.303 3162.685 1814.029 5938.858 5090.450 4243.158 3224.800 1814.233 8062.246 6636.390 2717.391 1547.428 5135.695 4395.669 3653.469 2751.694 1547.471 6966.019 5719.203 2336.011 1314.501 4621.461 3928.960 3233.546 2336.065 1314.416 6253.934 5088.549 609.508 342.830 2506.661 1848.107 1007.516 609.424 342.796 3278.174 1974.600 827.231 465.365 3521.099 2566.744 1367.607 827.215 465.343 4594.048 2680.600 694.933 390.925 3071.395 2212.032 1148.887 694.914 390.884 3995.939 2251.440 602.048 338.673 2734.351 1950.056 995.230 602.111 338.655 3551.761 1950.839 2369.565 1388.535 4386.216 3775.080 3163.109 2467.925 1388.433 5958.667 4929.044 2044.688 1159.825 3878.217 3314.611 2754.243 2062.065 1159.602 5255.947 4313.449 784.818 441.493 3088.159 2309.096 1297.342 784.890 441.536 4053.690 2543.792 652.199 366.849 2662.219 1967.796 1078.323 652.250 366.857 3486.374 2112.668 562.621 316.464 2350.160 1725.015 930.020 562.643 316.477 3069.697 1822.622 2321.534 1390.459 4242.193 3663.403 3086.275 2472.363 1390.586 5761.964 4790.943 1956.522 1146.497 3621.647 3117.038 2611.741 2037.736 1146.413 4920.000 4069.853 570.687 320.982 2270.259 1690.386 943.207 570.623 320.965 2978.348 1848.415 481.439 270.800 1965.193 1452.585 795.995 481.477 270.806 2573.567 1559.526 14959.207 12766.910 22243.924 20413.985 18579.784 16766.441 14019.397 30714.105 27648.074 10095.493 8531.311 15192.666 13897.915 12596.056 11288.218 9347.195 20959.961 18780.416 6800.528 5700.063 10336.265 9423.694 8504.309 7590.929 6218.966 14233.590 12705.069 5515.310 4598.381 8440.000 7676.165 6914.124 6149.749 5006.780 11623.225 10342.784

BJ 55 L=7m 7885.865 6370.809 5175.026 6953.329 5902.234 5005.342 6370.017 5421.392 4540.052 5204.566 4474.206 3862.078 1007.288 1367.414 1148.898 995.316 3901.921 3368.436 1297.572 1078.227 929.930 3823.104 3221.769 943.158 795.924 24571.284 16594.640 11169.713 9065.419

L=9m 4771.863 3853.409 3130.909 4205.619 3569.687 3027.501 3922.238 3298.207 2747.406 3224.898 2751.198 2336.163 609.482 827.324 694.990 602.041 2467.925 2061.512 784.881 652.231 562.587 2471.383 2037.736 570.609 481.463 21493.601 14400.399 9634.332 7778.677

L=12m 2684.173 2167.543 1761.253 2366.154 2007.949 1702.969 2206.018 1855.043 1545.378 1814.156 1547.549 1314.259 342.801 465.346 390.912 338.680 1388.607 1159.475 441.526 366.872 316.472 1390.444 1146.556 320.968 270.817 16254.363 10369.665 6684.158 5265.826

*2 Nn = A . fy / ω

f7


Section Index

900 x 300

800 x 300

700 x 300

600 x 300

600 x 200

500 x 300 500 x 200 450 x 300 450 x 200

400 x 400

BJ 34 L=3m 7450.292 6316.311 5491.216 6320.548 5483.789 4962.524 5638.469 4843.781 4328.947 4587.819 3967.125 3578.613 2035.734 2867.055 2513.268 2241.364 3382.759 2995.588 2497.554 2160.541 1911.321 3266.206 2793.103 1838.878 1594.865 16172.100 11100.600 7574.700 6203.400

L=5m 6722.955 5676.963 4916.940 5716.460 4951.852 4460.209 5111.744 4388.199 3902.900 4162.567 3596.530 3231.481 1705.656 2391.710 2081.416 1849.781 3076.613 2713.588 2106.417 1814.070 1598.272 2975.158 2540.323 1547.570 1339.107 15808.504 10787.755 7332.720 5982.064

L=7m 5990.596 5043.256 4332.749 5110.443 4418.096 3962.326 4589.137 3931.240 3472.635 3736.320 3226.257 2885.433 1376.567 1914.226 1651.492 1456.822 2768.952 2434.661 1716.874 1464.997 1284.601 2685.134 2286.290 1257.401 1081.429 14891.436 10137.534 6873.593 5603.794

BJ 37 L=9m 5257.221 4401.759 3752.573 4501.463 3886.090 3458.322 4060.495 3470.526 3046.296 3312.340 2854.873 2537.742 923.143 1253.425 1052.643 911.892 2463.056 2151.761 1189.132 987.930 852.198 2396.954 2033.716 864.204 729.269 13977.615 9487.692 6419.237 5221.717

L=12m 4065.957 3283.685 2667.714 3583.689 3041.517 2579.886 3270.120 2783.061 2340.711 2673.383 2299.488 1991.576 519.334 704.814 592.164 513.026 2003.209 1729.202 668.842 555.782 479.392 1962.827 1654.026 486.260 410.267 12604.910 8506.207 5729.728 4646.742

L=3m L=5m L=7m L=9m 8432.432 7537.532 6643.346 5751.152 7149.231 6365.753 5586.176 4803.101 6209.742 5500.508 4794.690 4083.920 7146.563 6408.333 5670.046 4928.171 6200.580 5551.557 4902.674 4252.883 5616.923 5001.370 4388.881 3773.643 6381.341 5739.860 5098.137 4454.817 5482.056 4923.345 4364.479 3806.061 4894.889 4372.093 3854.214 3330.709 5192.218 4673.905 4153.774 3633.492 4489.796 4038.462 3584.174 3130.081 4050.290 3622.837 3199.389 2777.188 2287.434 1885.339 1482.110 923.143 3221.831 2638.789 2056.180 1252.888 2819.580 2294.168 1740.040 1052.827 2516.971 2036.620 1507.231 911.943 3828.293 3454.225 3080.063 2706.207 3390.291 3047.120 2702.786 2359.459 2808.556 2330.769 1852.557 1189.132 2427.635 2003.509 1577.893 988.121 2145.808 1764.296 1382.149 852.305 3696.282 3343.009 2988.608 2637.989 3160.976 2852.113 2543.171 2234.483 2066.050 1712.566 1358.035 864.491 1792.028 1478.947 1164.767 729.410 18482.400 17874.662 16771.688 15649.788 12686.400 12198.462 11408.633 10607.358 8656.800 8284.019 7729.286 7172.162 7089.600 6764.885 6296.270 5835.062

BJ 41 L=12m 4065.620 3282.649 2668.692 3583.689 3041.517 2579.073 3341.679 2810.193 2340.519 2747.799 2345.178 1990.731 519.297 704.863 592.125 512.993 2102.612 1756.981 668.867 555.802 479.408 2106.860 1736.102 486.206 410.281 13970.068 9418.263 6332.699 5133.671

L=3m 8750.000 7418.582 6450.000 7422.780 6440.270 5828.544 6627.907 5693.907 5084.135 5392.823 4663.275 4202.794 2370.158 3335.521 2919.201 2605.969 3976.167 3521.297 2912.600 2515.419 2223.442 3839.024 3283.074 2140.708 1856.828 19252.500 13215.000 9017.500 7385.000

L=5m 7804.460 6591.489 5691.176 6635.030 5753.012 5178.723 5942.659 5101.820 4526.969 4838.990 4181.147 3754.303 1941.240 2717.391 2361.209 2096.381 3576.115 3157.552 2403.001 2064.353 1816.714 3463.908 2952.756 1764.406 1523.861 18565.574 12670.182 8604.485 7019.962

L=7m 6852.410 5758.364 4939.825 5852.359 5056.732 4524.164 5261.538 4504.591 3972.577 4286.816 3699.078 3302.422 1513.491 2072.011 1739.806 1507.192 3180.934 2789.494 1895.208 1612.084 1410.864 3088.697 2626.459 1387.041 1190.006 17375.903 11820.215 8008.437 6523.852

L=9m 5901.427 4926.845 4185.723 5062.541 4366.427 3870.865 4575.251 3909.363 3417.906 3736.559 3216.912 2851.307 923.275 1253.081 1052.879 912.188 2782.505 2425.000 1188.773 987.889 852.335 2711.923 2297.481 864.314 729.239 16192.178 10975.914 7415.707 6033.497

L=12m 4064.768 3283.519 2667.651 3582.994 3042.093 2579.756 3342.700 2810.263 2340.897 2749.073 2344.702 1990.873 519.286 704.876 592.201 512.984 2102.894 1756.186 668.874 555.718 479.413 2105.686 1736.334 486.231 410.219 14410.554 9709.772 6524.964 5282.546

*2 Nn = A . fy / ω

f8



Index

900 x 300

800 x 300

700 x 300

600 x 300

600 x 200

500 x 300 500 x 200 450 x 300 450 x 200

400 x 400


BJ 50 L=3m 10034.221 8491.682 7376.620 8503.718 7378.306 6671.645 7592.727 6522.923 5824.786 6177.778 5342.105 4819.524 2692.500 3786.387 3311.470 2953.931 4559.135 4033.939 3308.167 2857.463 2523.797 4401.736 3764.423 2433.686 2109.318 22332.900 15329.400 10460.300 8566.600

L=5m 8840.871 7461.960 6439.426 7521.417 6516.471 5862.625 6741.206 5782.811 5128.344 5489.021 4742.991 4252.521 2156.975 3014.656 2615.839 2317.308 4059.503 3578.880 2673.947 2293.490 2016.266 3931.611 3351.884 1963.639 1693.006 21269.429 14502.744 9849.623 8036.210

L=7m 7649.275 6417.286 5497.621 6539.883 5647.924 5041.857 5890.423 5040.221 4434.924 4802.383 4141.320 3688.411 1526.353 2071.429 1740.000 1507.875 3565.038 3120.932 1965.265 1633.440 1408.969 3465.907 2943.609 1428.919 1205.771 19781.134 13458.648 9103.829 7410.554

BJ 55 L=9m 6464.176 5379.760 4554.261 5557.882 4783.837 4226.707 5034.518 4295.283 3742.221 4110.644 3539.949 3127.627 923.029 1253.277 1052.694 912.104 3068.932 2665.509 1188.977 987.860 852.125 2995.144 2533.981 864.394 729.217 18305.656 12392.401 8361.551 6793.497

L=12m 4065.864 3283.399 2667.606 3584.289 3041.020 2579.662 3342.559 2810.494 2341.031 2748.897 2344.357 1991.343 519.252 704.921 592.115 513.048 2103.827 1756.296 668.751 555.788 479.429 2105.928 1737.105 486.210 410.271 16078.402 10802.960 7248.995 5863.518

L=3m 13704.316 11589.234 10051.493 11634.317 10085.925 9105.292 10396.293 8923.752 7955.505 8466.481 7314.643 6581.877 3592.921 5046.408 4404.796 3921.032 6247.437 5523.611 4423.418 3815.974 3365.721 6036.857 5158.434 3251.770 2816.870 31574.100 21586.255 14671.329 11979.624

L=5m 11705.098 9846.357 8472.082 9977.532 8632.598 7735.969 8959.744 7675.278 6790.525 7300.560 6303.914 5637.904 2692.500 3744.012 3230.012 2849.193 5410.412 4753.386 3358.266 2865.483 2512.583 5250.936 4467.312 2459.492 2115.239 29073.757 19810.420 13432.062 10950.633

L=7m 9703.511 8105.807 6885.865 8324.488 7175.000 6368.475 7528.591 6428.429 5623.541 6144.474 5293.427 4688.401 1525.944 2071.222 1740.355 1507.399 4575.768 3984.970 1965.605 1632.851 1409.092 4459.848 3778.157 1428.964 1205.336 26577.525 18030.449 12171.770 9903.025

BJ 34 L=9m 7227.119 5836.554 4744.004 6373.519 5407.349 4585.594 5943.099 4996.378 4161.488 4885.948 4167.657 3539.641 923.062 1253.006 1052.607 911.952 3738.706 3123.298 1189.023 988.066 852.177 3670.876 3087.005 864.305 729.370 24083.982 16246.327 10930.303 8859.839

L=12m L=3m L=5m L=7m L=9m 4065.100 6861.759 5738.739 4610.374 3054.545 3283.179 5803.568 4819.111 3833.707 2466.654 2668.324 5025.530 4134.375 3241.538 2004.016 3584.114 5829.964 4897.346 3965.378 2691.500 3041.165 5054.365 4234.842 3411.543 2285.005 2579.489 4559.679 3786.222 3012.021 1937.972 3342.302 5213.793 4402.759 3597.746 2510.366 2809.895 4475.566 3769.436 3066.026 2110.080 2340.486 3983.408 3324.476 2667.568 1758.140 2748.576 4245.818 3589.854 2937.358 2064.265 2344.597 3668.330 3097.701 2526.563 1760.479 1990.817 3298.380 2763.575 2230.371 1495.714 519.265 1769.718 1262.109 644.818 390.032 704.904 2482.558 1716.008 875.299 529.448 592.118 2164.417 1440.919 735.239 444.735 513.032 1925.799 1248.089 637.004 385.306 2103.059 3132.755 2661.628 2191.130 1579.528 1756.496 2767.663 2336.009 1902.553 1319.158 668.837 2183.135 1581.021 830.512 502.355 555.751 1879.467 1345.036 690.129 417.441 479.388 1658.067 1166.443 595.257 360.102 2106.373 3029.698 2586.385 2140.803 1581.531 1736.471 2586.679 2197.674 1809.190 1304.198 486.246 1603.757 1157.812 603.627 365.214 410.243 1387.382 992.877 509.439 308.146 20344.137 15980.336 14569.459 13169.463 11761.527 13579.323 10915.044 9911.250 8908.989 7906.410 9056.154 7418.903 6715.160 6011.667 5304.412 7296.024 6058.008 5470.370 4884.567 4295.983

L=12m 1717.753 1387.164 1127.352 1514.117 1284.989 1089.851 1412.129 1187.039 988.923 1161.069 990.505 841.205 219.396 297.803 250.185 216.745 888.644 742.077 282.583 234.801 202.552 889.744 733.743 205.430 173.325 9643.470 6401.730 4253.060 3371.413

*2 Nn = A . fy / ω

f9

Kuat Aksial Nominal Nn ( KN ) *2 Section Index

900 x 300

800 x 300

700 x 300

600 x 300

600 x 200

500 x 300 500 x 200 450 x 300 450 x 200

400 x 400

Kc = 1 ( sendi - sendi ) BJ 37 L=3m L=5m L=7m L=9m 7710.503 6335.025 4958.002 3053.211 6516.389 5310.857 4076.875 2466.070 5638.855 4549.755 3312.917 2004.347 6550.488 5412.317 4274.696 2691.851 5679.292 4674.144 3673.497 2284.860 5119.720 4172.571 3203.071 1937.512 5862.857 4874.833 3885.444 2509.852 5032.947 4171.218 3311.072 2110.924 4472.247 3672.938 2867.797 1757.922 4774.240 3974.386 3173.365 2063.838 4125.000 3427.300 2730.496 1760.838 3706.195 3052.478 2401.376 1495.714 1962.642 1263.961 644.790 390.011 2749.812 1715.290 875.336 529.476 2394.655 1440.804 735.179 444.757 2128.035 1248.570 637.004 385.343 3525.606 2950.376 2375.303 1579.869 3112.299 2584.752 2055.327 1319.603 2422.137 1627.476 830.356 502.383 2085.845 1352.647 689.943 417.407 1837.642 1166.743 595.153 360.111 3409.386 2868.337 2324.677 1582.241 2911.051 2436.090 1961.259 1304.479 1779.494 1183.307 603.767 365.204 1539.726 998.495 509.301 308.121 18102.253 16370.593 14656.939 12933.800 12352.872 11138.191 9911.250 8683.368 8396.508 7534.204 6674.480 5817.742 6856.480 6132.872 5416.043 4701.326

BJ 41 L=12m 1717.572 1387.164 1127.282 1514.338 1285.126 1089.851 1412.129 1187.083 988.992 1161.295 990.619 841.175 219.399 297.833 250.168 216.751 888.537 742.189 282.587 234.808 202.537 889.894 733.654 205.417 173.330 10360.090 6637.750 4277.603 3369.982

L=3m L=5m L=7m L=9m L=12m 7989.464 6523.297 5048.544 3053.691 1717.791 6752.398 5469.633 4076.316 2466.561 1387.061 5838.362 4680.373 3313.761 2003.698 1127.341 6787.290 5576.505 4366.837 2692.341 1514.152 5884.683 4816.282 3753.509 2284.494 1284.959 5305.144 4297.316 3202.632 1937.898 1089.769 6074.600 5025.716 3974.433 2510.092 1412.129 5214.792 4297.445 3381.677 2110.215 1187.295 4634.093 3779.485 2907.216 1758.105 989.011 4946.619 4094.256 3245.768 2064.037 1161.055 4273.979 3533.407 2791.473 1761.208 990.481 3840.229 3145.278 2452.220 1495.287 841.167 2024.436 1264.085 644.717 390.005 219.393 2836.682 1715.411 875.179 529.422 297.822 2470.588 1441.287 735.230 444.739 250.186 2194.101 1248.705 636.892 385.353 216.746 3652.815 3043.559 2430.143 1579.710 888.587 3227.595 2664.835 2101.386 1319.130 742.158 2500.000 1628.022 830.487 502.391 282.578 2151.469 1352.279 690.030 417.398 234.810 1895.584 1166.379 595.182 360.050 202.539 3535.490 2956.424 2380.520 1581.910 889.768 3016.086 2513.031 2006.540 1304.348 733.696 1836.750 1183.609 603.618 365.201 205.435 1588.169 998.224 509.366 308.114 173.332 18801.270 16962.555 15135.613 13314.315 10406.757 12830.097 11531.414 10228.328 8923.025 6636.535 8712.560 7800.606 6888.846 5975.812 4278.766 7114.644 6355.422 5590.462 4826.797 3370.222

BJ 50 L=3m 9068.729 7659.165 6618.450 7709.939 6679.242 6017.562 6905.483 5928.385 5260.292 5623.017 4858.573 4362.500 2259.986 3161.187 2748.660 2440.293 4155.565 3665.943 2795.668 2401.595 2114.975 4025.220 3431.201 2054.202 1772.806 21556.853 14711.516 9990.735 8158.667

L=5m 7240.055 6062.213 5168.487 6199.027 5351.691 4762.888 5595.487 4779.216 4195.280 4564.473 3931.338 3494.820 1263.854 1715.810 1440.887 1248.593 3391.631 2963.132 1627.222 1352.445 1166.912 3302.894 2800.429 1183.359 998.346 19269.111 13090.863 8849.662 7198.824

L=7m 5047.699 4076.778 3313.063 4449.077 3775.825 3202.995 4148.706 3488.889 2906.872 3412.487 2911.343 2471.551 644.810 875.309 735.223 636.956 2610.599 2180.620 830.469 689.958 595.279 2578.870 2155.540 603.774 509.313 16996.119 11456.951 7702.725 6243.878

L=9m 3054.177 2466.493 2004.107 2691.935 2284.965 1937.845 2509.893 2110.313 1758.080 2063.872 1761.041 1495.530 390.047 529.482 444.741 385.334 1579.842 1319.625 502.335 417.432 360.067 1582.184 1304.456 365.191 308.139 14702.370 9826.538 6562.296 5294.561

L=12m 1717.819 1387.253 1127.333 1514.178 1285.204 1089.921 1411.815 1187.223 989.075 1161.044 990.464 841.139 219.391 297.811 250.187 216.747 888.545 742.216 282.575 234.796 202.548 889.786 733.661 205.420 173.322 10405.545 6636.104 4278.241 3371.018

*2 Nn = A . fy / ω

f 10



Section



Index

BJ 55

900 x 300

800 x 300

700 x 300

600 x 300

600 x 200

500 x 300 500 x 200 450 x 300 450 x 200

400 x 400

L=3m L=5m L=7m L=9m 12094.003 9022.975 5048.288 3053.504 10185.886 7498.111 4075.989 2466.369 8773.223 6339.555 3313.020 2003.951 10303.595 7751.444 4450.498 2691.910 8913.333 6672.794 3777.227 2284.637 8002.727 5891.027 3202.375 1937.748 9240.198 7032.978 4148.904 2510.232 7914.344 5993.482 3488.889 2110.492 7010.105 5217.509 2906.242 1758.033 7523.432 5742.065 3411.936 2064.154 6495.885 4942.079 2911.019 1760.736 5821.400 4362.500 2472.397 1495.584 2865.477 1263.886 644.745 390.036 3992.656 1715.364 875.241 529.480 3456.964 1441.098 735.210 444.746 3055.349 1248.389 636.970 385.337 5572.319 4283.387 2610.906 1579.617 4901.808 3721.460 2181.170 1319.436 3560.384 1627.604 830.436 502.349 3046.324 1352.260 690.081 417.401 2676.095 1166.657 595.242 360.100 5400.335 4185.084 2615.360 1581.716 4600.998 3536.741 2155.794 1304.271 2611.692 1183.344 603.715 365.216 2248.731 998.209 509.403 308.117 29563.764 25732.763 21880.873 18032.039 20141.822 17421.704 14673.392 11794.612 13667.930 11746.386 9826.379 7603.445 11142.042 9544.050 7936.697 5992.035 *2 Nn = A . fy / ω

kc = 0.8 ( jepit - sendi ) L=12m 1717.871 1387.227 1127.318 1514.225 1285.087 1089.900 1411.907 1187.091 989.050 1161.210 990.587 841.211 219.400 297.827 250.174 216.748 888.616 742.093 282.569 234.800 202.551 889.817 733.720 205.433 173.324 10403.328 6637.856 4278.828 3370.129

L=3m 1707702.01 1406667.45 1183185.11 1161902.69 997921.87 870227.65 810434.67 692840.73 592856.65 472542.35 405733.95 353114.24 223353.71 308595.54 265294.97 235879.45 242410.64 207505.97 192802.51 164467.88 143056.89 192679.54 160054.14 114717.32 98873.13 1024204.86 640250.78 409445.57 317149.68

L=5m 614772.72 506400.28 425946.64 418284.97 359251.87 313281.95 291756.48 249422.66 213428.39 170115.25 146064.22 127121.13 80407.34 111094.40 95506.19 84916.60 87267.83 74702.15 69408.90 59208.44 51500.48 69364.63 57619.49 41298.24 35594.33 368713.75 230490.28 147400.40 114173.89

L=7m 313659.55 258367.49 217319.71 213410.70 183291.77 159837.73 148855.35 127256.46 108892.04 86793.49 74522.56 64857.72 41024.15 56680.81 48727.65 43324.80 44524.40 38113.34 35412.71 30208.39 26275.76 35390.12 29397.70 21070.53 18160.37 188119.26 117597.08 75204.29 58251.98

L=9m 189744.67 156296.38 131465.01 129100.30 110880.21 96691.96 90048.30 76982.30 65872.96 52504.71 45081.55 39234.92 24817.08 34288.39 29477.22 26208.83 26934.52 23056.22 21422.50 18274.21 15895.21 21408.84 17783.79 12746.37 10985.90 113800.54 71138.98 45493.95 35238.85

kc = 0.65 ( jepit - jepit ) L=12m 106731.38 87916.72 73949.07 72618.92 62370.12 54389.23 50652.17 43302.55 37053.54 29533.90 25358.37 22069.64 13959.61 19287.22 16580.94 14742.47 15150.67 12969.12 12050.16 10279.24 8941.06 12042.47 10003.38 7169.83 6179.57 64012.80 40015.67 25590.35 19821.86

L=3m 2586814.88 2130809.87 1792280.40 1760041.94 1511644.96 1318214.66 1227640.68 1049510.22 898055.04 715803.79 614602.91 534894.95 338334.62 467458.34 401866.93 357308.52 367201.92 314328.56 292055.87 249134.77 216701.56 291869.59 242448.88 173772.99 149772.32 1551458.25 969847.33 620225.24 480416.09

L=5m 931253.36 767091.55 645220.94 633615.10 544192.19 474557.28 441950.65 377823.68 323299.82 257689.37 221257.05 192562.18 121800.46 168285.00 144672.10 128631.07 132192.69 113158.28 105140.11 89688.52 78012.56 105073.05 87281.60 62558.28 53918.03 558524.97 349145.04 223281.09 172949.79

L=7m 475129.26 391373.24 329194.36 323273.01 277649.07 242121.06 225485.02 192767.18 164948.89 131474.17 112886.25 98246.01 62143.09 85859.69 73812.29 65628.09 67445.25 57733.82 53642.91 45759.45 39802.33 53608.70 44531.43 31917.49 27509.20 284961.72 178135.22 113918.92 88239.69

L=9m 287423.88 236756.65 199142.27 195560.22 167960.55 146468.30 136404.52 116612.25 99783.89 79533.75 68289.21 59432.77 37592.74 51939.82 44651.88 39700.95 40800.21 34925.40 32450.65 27681.64 24077.95 32429.95 26938.76 19308.11 16641.37 172384.25 107760.81 68913.92 53379.57

L=12m 161675.93 133175.62 112017.53 110002.62 94477.81 82388.42 76727.54 65594.39 56128.44 44737.74 38412.68 33430.93 21145.91 29216.15 25116.68 22331.78 22950.12 19645.54 18253.49 15570.92 13543.85 18241.85 15153.05 10860.81 9360.77 96966.14 60615.46 38764.08 30026.01

*3 Ncrb = π2. E . A/( Kc.L / rx )2

f 11


900 x 300

800 x 300

700 x 300

600 x 300

600 x 200

500 x 300 500 x 200 450 x 300 450 x 200

400 x 400


4


L=5m 393454.54 324096.18 272605.85 267702.38 229921.20 200500.45 186724.15 159630.50 136594.17 108873.76 93481.10 81357.52 51460.70 71100.41 61123.96 54346.63 55851.41 47809.37 44421.70 37893.40 32960.31 44393.37 36876.47 26430.87 22780.37 235976.80 147513.78 94336.26 73071.29

L=7m 200742.11 165355.19 139084.62 136582.85 117306.73 102296.15 95267.42 81444.13 69690.90 55547.84 47694.44 41508.94 26255.46 36275.72 31185.69 27727.87 28495.62 24392.54 22664.13 19333.37 16816.48 22649.68 18814.53 13485.14 11622.64 120396.33 75262.13 48130.74 37281.27

*3 Ncrb = π2. E . A/( Kc.L / rx )2

L=9m 121436.59 100029.69 84137.61 82624.19 70963.33 61882.85 57630.91 49268.67 42158.70 33603.01 28852.19 25110.35 15882.93 21944.57 18865.42 16773.65 17238.09 14755.98 13710.40 11695.49 10172.93 13701.66 11381.63 8157.68 7030.98 72832.35 45528.94 29116.13 22552.87

Mengalami Tegangan Leleh Ny ( KN ) * L=12m 68308.08 56266.70 47327.40 46476.11 39916.87 34809.11 32417.39 27713.63 23714.27 18901.69 16229.36 14124.57 8934.15 12343.82 10611.80 9435.18 9696.43 8300.24 7712.10 6578.72 5722.28 7707.18 6402.17 4588.69 3954.93 40968.19 25610.03 16377.82 12685.99

Parameter

Konstanta

Konstanta

Øb Ny ( KN )

Puntir

Puntir

Torsi (J)

Lengkung (Iw)

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

7644.00 6505.80 5688.90 6459.60 5615.40 5111.40 5745.60 4945.50 4441.50 4670.40 4042.50 3664.50 2261.70 3202.50 2822.40 2530.50 3433.50 3055.50 2757.30 2398.20 2127.30 3305.40 2835.00 2031.96 1770.30 16172.10 11100.60 7574.70 6203.40

8736.00 7435.20 6501.60 7382.40 6417.60 5841.60 6566.40 5652.00 5076.00 5337.60 4620.00 4188.00 2584.80 3660.00 3225.60 2892.00 3924.00 3492.00 3151.20 2740.80 2431.20 3777.60 3240.00 2322.24 2023.20 18482.40 12686.40 8656.80 7089.60

9100.00 7745.00 6772.50 7690.00 6685.00 6085.00 6840.00 5887.50 5287.50 5560.00 4812.50 4362.50 2692.50 3812.50 3360.00 3012.50 4087.50 3637.50 3282.50 2855.00 2532.50 3935.00 3375.00 2419.00 2107.50 19252.50 13215.00 9017.50 7385.00

10556.00 8984.20 7856.10 8920.40 7754.60 7058.60 7934.40 6829.50 6133.50 6449.60 5582.50 5060.50 3123.30 4422.50 3897.60 3494.50 4741.50 4219.50 3807.70 3311.80 2937.70 4564.60 3915.00 2806.04 2444.70 22332.90 15329.40 10460.30 8566.60

14924.00 12701.80 11106.90 12611.60 10963.40 9979.40 11217.60 9655.50 8671.50 9118.40 7892.50 7154.50 4415.70 6252.50 5510.40 4940.50 6703.50 5965.50 5383.30 4682.20 4153.30 6453.40 5535.00 3967.16 3456.30 31574.10 21672.60 14788.70 12111.40

6879.60 5855.22 5120.01 5813.64 5053.86 4600.26 5171.04 4450.95 3997.35 4203.36 3638.25 3298.05 2035.53 2882.25 2540.16 2277.45 3090.15 2749.95 2481.57 2158.38 1914.57 2974.86 2551.50 1828.76 1593.27 14554.89 9990.54 6817.23 5583.06

7862.40 6691.68 5851.44 6644.16 5775.84 5257.44 5909.76 5086.80 4568.40 4803.84 4158.00 3769.20 2326.32 3294.00 2903.04 2602.80 3531.60 3142.80 2836.08 2466.72 2188.08 3399.84 2916.00 2090.02 1820.88 16634.16 11417.76 7791.12 6380.64

8190.00 6970.50 6095.25 6921.00 6016.50 5476.50 6156.00 5298.75 4758.75 5004.00 4331.25 3926.25 2423.25 3431.25 3024.00 2711.25 3678.75 3273.75 2954.25 2569.50 2279.25 3541.50 3037.50 2177.10 1896.75 17327.25 11893.50 8115.75 6646.50

9500.40 8085.78 7070.49 8028.36 6979.14 6352.74 7140.96 6146.55 5520.15 5804.64 5024.25 4554.45 2810.97 3980.25 3507.84 3145.05 4267.35 3797.55 3426.93 2980.62 2643.93 4108.14 3523.50 2525.44 2200.23 20099.61 13796.46 9414.27 7709.94

13431.60 11431.62 9996.21 11350.44 9867.06 8981.46 10095.84 8689.95 7804.35 8206.56 7103.25 6439.05 3974.13 5627.25 4959.36 4446.45 6033.15 5368.95 4844.97 4213.98 3737.97 5808.06 4981.50 3570.44 3110.67 28416.69 19505.34 13309.83 10900.26

4

mm 7913205.33 4390400.00 2425288.67 5436000.00 3515200.00 2129600.00 4419669.33 2764800.00 1600000.00 2449622.67 1600000.00 982600.00 1638489.33 1072000.00 655066.67 447750.00 1166400.00 675000.00 919106.00 546133.33 364037.33 1166400.00 672750.00 365866.67 229248.00 98784000.00 34750000.00 11633416.67 5927040.00

mm6x(1011) 185.15 143.50 111.54 132.57 111.14 88.98 98.44 81.37 63.89 57.91 49.06 39.56 16.55 13.78 11.20 9.59 31.60 24.87 9.66 7.76 6.58 26.13 20.86 5.63 4.68 332.73 197.11 120.66 89.76

*4 Ny = A . fy

f 12


Weight

Index

400 x 400

400 x 300 400 x 200

350 x 350

350 x 250 350 x 175

300 x 300

300 x 200 300 x 150

250 x 250

Section d

kg/m 200.0 197.0 172.0 168.0 147.0 140.0 107.0 94.3 66.0 56.6 159.0 156.0 136.0 131.0 115.0 106.0 79.7 69.2 49.6 41.4 106.0 106.0 94.0 87.0 84.5 65.4 56.8 36.7 32.0 82.2 72.4 66.5 64.5

mm 406 400 400 394 394 388 390 386 400 396 356 350 350 344 344 338 340 336 350 346 304 300 300 298 294 298 294 300 298 250 250 248 244

K = Kompak

Web

Flange


B mm 403 408 400 405 398 402 300 299 200 199 352 357 350 354 348 351 250 249 175 174 301 305 300 299 302 201 200 150 149 255 250 249 252

mm 16.0 21.0 13.0 18.0 11.0 15.0 10.0 9.0 8.0 7.0 14.0 19.0 12.0 16.0 10.0 13.0 9.0 8.0 7.0 6.0 11.0 15.0 10.0 9.0 12.0 9.0 8.0 6.5 5.5 14 9 8 11.0

t2 mm 24 21 21 18 18 15 16 14 13 11 22 19 19 16 16 13 14 12 11 9 17 15 15 14 12 14 12 9 8 14 14 13 11

NK = Non Kompak


Area

r

A

mm 22 22 22 22 22 22 22 22 16 16 20 20 20 20 20 20 20 20 14 14 18 18 18 18 18 18 18 13 13 16 16 16 16

Momen

Radius

Modulus

Centre

Modulus

Inersia

of Gyration

of Section


of Plastis

Ix 2

cm 254.90 250.70 218.70 214.40 186.80 178.50 136.00 120.10 84.12 72.16 202.00 198.40 173.90 166.60 146.00 135.30 101.50 88.15 63.14 52.68 134.80 134.80 119.80 110.80 107.70 83.36 72.38 46.78 40.80 104.7 92.18 84.7 82.06

Iy 4

cm 78000 70900 66600 59700 56100 49000 38700 33700 23700 20000 47600 42800 40300 35300 33300 28200 21700 18500 13600 11100 23400 21500 20400 18800 16900 13300 11300 7210 6320 11500 10800 9930 8790

rx 4

cm 26200 23800 22400 20000 18900 16300 7210 6240 1740 1450 16000 14400 13600 11800 11200 9380 3650 3090 984 792 7730 7100 6750 6240 5520 1900 1600 508 442 3880 3650 3350 2940

mm 175 168 175 167 173 166 169 167 168 167 153 147 152 146 151 144 146 145 147 145 132 126 131 130 125 126 125 124 124 105 108 108 103

ry mm 101.0 97.5 101.0 96.5 101.0 95.4 72.8 72.1 45.4 44.8 89.0 85.3 88.4 84.3 87.8 83.3 60.0 59.2 39.5 38.8 75.7 72.6 75.1 75.1 71.6 47.7 47.1 32.9 32.9 60.9 62.9 62.9 59.8

Sx

Sy 3

cm 3840 3540 3330 3030 2850 2520 1980 1740 1190 1010 2670 2450 2300 2050 1940 1670 1280 1100 775 641 1540 1440 1360 1270 1150 893 771 481 424 919 867 801 720

Cx 3

cm 1300 1170 1120 985 951 809 481 418 174 145 909 809 776 669 646 534 292 248 112 91 514 466 450 417 365 189 160 68 59 304 292 269 233

mm 35.09 40.74 32.07 38.88 30.07 36.98 34.07 33.30 42.33 41.70 30.51 35.89 28.62 34.02 26.67 32.12 30.90 30.19 37.55 37.06 25.50 30.27 24.67 23.62 28.38 29.08 28.32 34.12 32.57 25.78 20.80 19.76 23.90

Cy mm 77.57 71.55 77.73 70.48 77.12 69.34 53.92 53.04 31.82 31.04 68.43 62.70 67.78 61.62 67.12 60.46 44.02 43.10 27.49 26.62 57.92 53.13 57.13 57.19 51.99 34.87 34.06 22.47 22.49 44.74 48.14 48.20 43.63

Zx


3

mm 4280025.90 3992648.20 3672629.10 3390092.80 3118252.40 2802807.00 2188648.00 1917997.00 1326320.04 1127860.80 2979298.00 2759942.40 2545548.20 2298746.80 2121818.00 1851986.40 1411865.00 1214795.15 867859.30 716131.92 1705220.00 1613960.40 1501453.40 1389210.40 1277537.40 999653.12 859005.84 542086.64 475034.40 1038833.40 960515.60 882912.80 805008.60

mm3 1977259.30 1793758.50 1699955.10 1511091.20 1440601.60 1237719.00 733312.00 637010.40 267669.84 223984.64 1382286.00 1243968.00 1178694.20 1026589.20 979952.00 818023.80 446803.00 379926.50 173571.86 140234.16 780761.60 716192.40 684417.40 633665.20 559932.30 290676.32 246526.28 105114.66 91759.20 468427.80 443754.52 408254.00 358027.78

BJ 34 BJ 37 BJ 41 BJ 50 BJ 55 K K K K K NK K K K K K K K K K NK K K K K K K K K NK K K K K K K K K

K K K NK NK NK K K K K K K K NK K NK K K K K K K K K NK K K K K K K K NK

K K K NK NK NK K K K K K K K NK NK NK K K K K K K K K NK K K K K K K K NK

K K K NK NK NK K NK K K K K K NK NK NK K NK K K K NK NK NK NK K K K K K K K NK

NK NK NK NK NK NK NK NK K NK K NK NK NK NK NK NK NK K NK NK NK NK NK NK K K K NK NK NK NK NK

S = Slender

g1


400 x 400

400 x 300 400 x 200

350 x 350

350 x 250 350 x 175

300 x 300

300 x 200 300 x 150

250 x 250



2




BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm 5485.793 5295.691 5485.793 5241.376 5485.793 5181.630 3954.116 3916.096 2465.891 2433.302 4834.015 4633.051 4801.426 4578.736 4768.838 4524.421 3258.887 3215.435 2145.434 2107.413 4111.629 3943.253 4079.040 4079.040 3888.938 2590.815 2558.226 1786.956 1786.956 3307.770 3416.400 3416.400 3248.024

mm 5131.489 4953.665 5131.489 4902.858 5131.489 4846.971 3698.737 3663.172 2306.630 2276.146 4521.807 4333.822 4491.323 4283.015 4460.839 4232.208 3048.409 3007.764 2006.870 1971.305 3846.077 3688.575 3815.592 3815.592 3637.769 2423.485 2393.001 1671.544 1671.544 3094.136 3195.749 3195.749 3038.248

mm 5027.812 4853.581 5027.812 4803.801 5027.812 4749.042 3624.007 3589.161 2260.026 2230.158 4430.448 4246.261 4400.580 4196.481 4370.712 4146.700 2986.819 2946.995 1966.323 1931.476 3768.370 3614.051 3738.502 3738.502 3564.271 2374.521 2344.653 1637.772 1637.772 3031.621 3131.182 3131.182 2976.863

mm 4668.206 4506.437 4668.206 4460.217 4668.206 4409.375 3364.806 3332.452 2098.382 2070.650 4113.568 3942.554 4085.836 3896.335 4058.104 3850.115 2773.192 2736.216 1825.685 1793.331 3498.844 3355.562 3471.112 3471.112 3309.342 2204.688 2176.956 1520.634 1520.634 2814.790 2907.229 2907.229 2763.948

mm 3926.062 3790.010 3926.062 3751.138 3926.062 3708.379 2829.874 2802.664 1764.784 1741.461 3459.599 3315.773 3436.276 3276.901 3412.953 3238.029 2332.314 2301.216 1535.440 1508.230 2942.603 2822.100 2919.279 2919.279 2783.228 1854.189 1830.866 1278.885 1278.885 2367.299 2445.042 2445.042 2324.539

mm 23928.097 20931.432 21343.464 18424.518 19001.835 16238.155 12773.450 11752.882 7065.061 6578.299 21998.597 18815.732 19269.018 16332.095 16718.648 14095.400 10513.524 9567.544 6078.313 5584.237 16930.473 14861.280 15228.356 14396.197 12564.458 9248.638 8246.247 4978.797 4780.851 13823.408 14073.182 13231.229 11269.584

mm 20032.408 17649.767 18003.802 15699.896 16197.984 14024.093 10984.019 10204.915 6181.921 5810.274 18374.921 15832.128 16217.192 13897.253 14233.280 12180.730 9040.989 8318.785 5329.714 4948.835 14223.077 12578.544 12891.447 12247.703 10807.529 7868.489 7096.518 4379.363 4231.084 11609.321 11822.599 11164.806 9616.194

mm 19029.889 16805.732 17144.839 14997.822 15475.405 13449.718 10521.051 9801.736 5950.292 5606.720 17441.928 15064.749 15432.272 13270.118 13593.039 11683.822 8660.003 7993.168 5132.948 4779.715 13526.674 11991.248 12290.199 11694.352 10352.894 7513.026 6798.924 4221.264 4085.013 11039.793 11243.698 10633.312 9189.954

mm 15955.118 14215.927 14509.050 12836.052 13250.094 11666.292 9088.019 8544.417 5222.773 4960.917 14579.630 12710.891 13024.544 11340.336 11622.489 10140.228 7480.702 6976.514 4513.613 4241.036 11390.819 10187.589 10443.598 9991.746 8945.367 6419.294 5877.290 3721.981 3620.509 9293.090 9468.220 9002.274 7876.628

mm 11156.722 10151.006 10370.291 9393.712 9704.392 8755.580 6769.060 6469.294 4001.252 3851.804 10116.314 9024.215 9252.697 8274.284 8489.213 7617.906 5572.213 5293.616 3468.618 3307.983 8050.227 7343.785 7531.432 7287.410 6666.380 4682.023 4383.668 2873.196 2818.746 6561.813 6691.297 6440.190 5780.627

KNm 898.805 838.456 771.252 711.919 654.833 583.517 459.616 402.779 278.527 236.851 625.653 579.588 534.565 482.737 445.582 385.457 296.492 255.107 182.250 150.388 358.096 338.932 315.305 291.734 267.115 209.927 180.391 113.838 99.757 218.155 201.708 185.412 169.052

KNm 1027.206 958.236 881.431 812.249 748.077 663.211 525.276 460.319 318.317 270.687 715.032 662.386 610.932 551.394 509.236 438.136 338.848 291.551 208.286 171.872 409.253 387.350 360.349 333.410 303.778 239.917 206.161 130.101 114.008 249.320 230.524 211.899 192.638

KNm 1070.006 998.162 918.157 844.857 778.352 689.574 547.162 479.499 331.580 281.965 744.825 689.986 636.387 573.538 530.122 455.566 352.966 303.699 216.965 179.033 426.305 403.490 375.363 347.303 315.914 249.913 214.751 135.522 118.759 259.708 240.129 220.728 200.364

KNm 1241.208 1157.868 1065.062 974.283 898.715 794.083 634.708 553.819 384.633 327.080 863.996 800.383 738.209 661.431 612.183 524.670 409.441 351.418 251.679 207.678 494.514 467.428 435.374 401.263 364.058 289.899 249.112 157.205 137.760 301.262 278.550 256.045 231.028

KNm 1754.809 1616.017 1492.199 1353.829 1253.417 1099.431 890.167 772.103 543.791 459.733 1221.512 1120.698 1036.646 919.181 854.109 726.680 576.396 490.084 355.822 290.259 696.486 650.900 607.623 560.015 505.027 409.858 352.192 222.256 193.120 422.927 392.061 358.595 320.918

(*1) Lp = 1,76.ry.√(E/fy)

(*2) Lr = ry (x1/fL) √ (1+(√(1+x2.fL2))

(*3) Mn = Mp


Mn = Mr ( λr/λ )2

g2


400 x 400

400 x 300 400 x 200

350 x 350

350 x 250 350 x 175

300 x 300

300 x 200 300 x 150

250 x 250


4

Mn (KNm) (*5)


BJ 37

BJ 41

BJ 50

BJ 55

KNm 415.224 376.689 356.991 317.329 302.526 252.231 153.996 133.772 56.211 47.037 290.280 261.233 247.526 215.584 205.790 166.385 93.829 79.785 36.450 29.449 163.960 150.400 143.728 133.070 115.800 61.042 51.771 22.074 19.269 98.370 93.188 85.733 75.186

KNm 474.542 430.502 407.989 360.656 345.190 282.707 175.995 152.882 64.241 53.756 331.749 298.552 282.887 245.942 235.188 186.430 107.233 91.182 41.657 33.656 187.383 171.886 164.260 152.080 130.056 69.762 59.166 25.228 22.022 112.423 106.501 97.981 85.097

KNm 494.315 448.440 424.989 373.878 357.940 292.561 183.328 159.253 66.917 55.996 345.572 310.992 294.674 254.996 244.376 192.909 111.701 94.982 43.393 35.059 195.190 179.048 171.104 158.416 134.678 72.669 61.632 26.279 22.940 117.107 110.939 102.064 88.201

KNm 573.405 520.190 492.987 425.295 407.594 330.544 212.660 181.779 77.624 64.956 400.863 360.751 341.821 290.227 278.411 217.865 129.573 109.176 50.336 40.668 226.421 206.804 198.403 180.841 152.555 84.296 71.493 30.483 26.610 135.844 128.689 118.394 100.262

KNm 810.673 706.546 673.997 566.793 544.896 432.092 291.977 243.609 109.745 90.031 566.737 494.760 471.737 387.399 372.692 284.458 180.291 146.596 71.164 55.298 315.827 278.073 267.399 242.426 200.894 119.177 101.076 43.097 36.576 187.946 179.098 161.605 133.356

(*4) Mn = Mp


BJ 34 L=3m 898.805 838.456 771.252 711.919 654.833 588.589 459.616 402.779 278.527 236.851 625.653 579.588 534.565 482.737 445.582 388.917 296.492 255.107 182.250 150.388 358.096 338.932 315.305 291.734 268.283 209.927 180.391 109.630 95.064 218.155 201.708 185.412 169.052

L=5m 898.805 838.456 771.252 711.919 654.833 588.589 459.616 402.779 247.216 202.629 625.653 579.588 534.565 482.737 445.582 388.917 296.492 255.107 146.742 113.921 358.096 338.932 315.305 291.734 268.283 204.291 170.190 76.470 63.174 218.155 201.708 185.412 169.052

Mn = Mr ( λr/λ )2

L=7m 898.805 838.456 771.252 711.919 654.833 588.589 452.142 387.759 191.729 146.820 625.653 579.588 534.565 482.737 445.582 388.917 269.047 222.149 101.280 72.455 358.096 338.932 315.305 291.734 261.985 175.214 141.148 47.769 38.730 212.874 199.153 180.871 156.326

BJ 37 L=9m 898.805 838.456 771.252 711.919 654.833 578.162 404.984 341.448 136.832 102.232 625.653 577.685 534.565 466.381 437.736 360.675 232.184 185.858 72.686 50.907 346.282 313.871 296.601 270.626 233.790 146.138 110.104 34.724 27.820 193.470 181.967 163.850 136.926

(*5) Mn = Mp


L=9m 1027.206 958.236 881.431 798.390 747.995 640.828 442.300 371.757 136.832 102.232 715.032 641.366 600.058 515.285 485.515 396.899 249.009 190.925 72.686 50.907 383.060 344.487 326.696 297.723 254.803 147.334 110.104 34.724 27.820 210.622 199.033 178.686 147.097

L=12m 974.273 866.872 813.019 703.832 666.445 549.795 342.131 269.987 95.405 70.024 654.437 568.231 535.912 443.003 422.719 327.808 173.450 130.615 51.228 35.179 334.463 289.648 278.029 250.061 194.523 105.945 78.322 24.747 19.623 171.505 165.294 142.793 106.773

Mn = Mcr ≤ Mp


g3


Section Index

400 x 400

400 x 300 400 x 200

350 x 350

350 x 250 350 x 175

300 x 300

300 x 200 300 x 150

250 x 250

BJ 41 L=3m 1070.006 998.162 918.157 847.523 779.563 700.702 547.162 479.499 331.580 281.965 744.825 689.986 636.387 574.687 530.455 462.997 352.966 303.699 216.965 176.875 426.305 403.490 375.363 347.303 319.384 249.913 214.751 125.076 108.455 259.708 240.129 220.728 201.252

L=5m 1070.006 998.162 918.157 847.523 779.563 700.702 547.162 479.499 278.647 227.770 744.825 689.986 636.387 574.687 530.455 462.997 352.799 297.193 162.738 122.022 426.305 403.490 375.363 347.303 319.384 232.960 193.187 76.470 63.174 259.708 240.129 220.728 201.252

(*5) Mn = Mp


BJ 50 L=5m 1241.208 1157.868 1065.062 983.127 904.293 812.814 634.708 556.219 308.436 250.265 863.996 800.383 738.209 666.637 615.327 537.076 397.823 334.487 165.420 122.022 494.514 468.049 435.421 402.871 370.486 259.836 214.851 76.470 63.174 301.262 278.550 256.045 228.716

L=7m 1241.208 1157.868 1065.062 983.127 904.293 812.814 579.395 494.974 192.928 146.820 863.996 800.383 738.209 657.472 615.327 515.403 335.906 274.529 101.280 72.455 484.994 441.599 417.784 383.097 334.649 200.522 151.803 47.769 38.730 270.467 255.102 230.785 195.246

BJ 55 L=9m 1241.208 1119.976 1047.338 925.186 871.332 740.253 500.075 403.881 136.832 102.232 837.738 740.568 696.026 591.426 561.063 453.900 249.375 190.925 72.686 50.907 440.009 391.124 373.240 339.924 285.913 147.334 110.104 34.724 27.820 235.595 224.587 200.925 151.909

L=12m 1121.427 986.456 931.797 795.942 760.827 608.346 342.131 269.987 95.405 70.024 747.355 638.618 607.182 476.758 465.166 330.123 173.450 130.615 51.228 35.179 363.262 295.104 287.073 252.171 194.523 105.945 78.322 24.747 19.623 171.505 165.294 142.793 106.773

L=3m 1754.811 1636.986 1505.778 1389.938 1278.483 1149.151 897.346 786.379 532.283 446.243 1221.512 1131.576 1043.675 942.486 869.945 759.314 578.865 498.066 325.903 263.214 699.140 661.724 615.596 569.576 523.790 409.858 352.192 173.517 147.248 425.922 393.811 361.994 330.054

L=5m 1754.811 1636.986 1505.778 1389.938 1278.483 1149.151 882.203 763.403 320.658 250.265 1221.512 1131.576 1043.675 942.486 869.945 759.314 525.054 440.238 165.420 122.022 699.140 659.854 615.596 569.576 510.702 315.295 243.875 76.470 63.174 404.366 381.016 347.311 301.024

L=7m 1754.811 1616.843 1505.778 1348.403 1269.784 1092.678 728.912 593.622 192.928 146.820 1202.316 1070.318 1007.015 865.940 822.292 678.093 352.531 274.529 101.280 72.455 638.052 573.063 547.259 502.586 413.345 200.522 151.803 47.769 38.730 327.202 316.891 277.287 212.314

L=9m 1641.130 1461.503 1381.266 1203.043 1147.669 937.612 503.542 403.881 136.832 102.232 1094.866 951.064 904.440 702.564 688.574 499.406 249.375 190.925 72.686 50.907 516.605 423.345 413.127 365.674 285.913 147.334 110.104 34.724 27.820 239.365 231.208 200.913 151.909

L=12m 1363.603 1097.844 1064.861 832.493 812.332 608.346 342.131 269.987 95.405 70.024 840.101 658.034 637.951 476.758 465.166 330.123 173.450 130.615 51.228 35.179 363.262 295.104 287.073 252.171 194.523 105.945 78.322 24.747 19.623 171.505 165.294 142.793 106.773


g4


Section Index

400 x 400

400 x 300 400 x 200

350 x 350

350 x 250 350 x 175

300 x 300

300 x 200 300 x 150

250 x 250

BJ 34 L=3m 721.73 947.27 586.40 811.94 496.19 676.62 451.08 405.97 376.99 329.87 550.37 746.93 471.74 628.99 393.12 511.06 353.81 314.50 289.30 247.97 374.22 510.30 340.20 306.18 408.24 306.18 272.16 230.96 195.43 391.61 251.75 223.78 307.69

L=5m 721.73 947.27 586.40 811.94 496.19 676.62 451.08 405.97 376.99 329.87 550.37 746.93 471.74 628.99 393.12 511.06 353.81 314.50 289.30 247.97 374.22 510.30 340.20 306.18 408.24 306.18 272.16 230.96 195.43 391.61 251.75 223.78 307.69

*1 Vn = 0.6 fy Aw

L=7m 721.73 947.27 586.40 811.94 496.19 676.62 451.08 405.97 376.99 329.87 550.37 746.93 471.74 628.99 393.12 511.06 353.81 314.50 289.30 247.97 374.22 510.30 340.20 306.18 408.24 306.18 272.16 230.96 195.43 391.61 251.75 223.78 307.69

BJ 37 L=9m 721.73 947.27 586.40 811.94 496.19 676.62 451.08 405.97 376.99 329.87 550.37 746.93 471.74 628.99 393.12 511.06 353.81 314.50 289.30 247.97 374.22 510.30 340.20 306.18 408.24 306.18 272.16 230.96 195.43 391.61 251.75 223.78 307.69

L=12m 721.73 947.27 586.40 811.94 496.19 676.62 451.08 405.97 376.99 329.87 550.37 746.93 471.74 628.99 393.12 511.06 353.81 314.50 289.30 247.97 374.22 510.30 340.20 306.18 408.24 306.18 272.16 230.96 195.43 391.61 251.75 223.78 307.69


BJ 41

L=3m L=5m L=7m L=9m L=12m L=3m L=5m L=7m L=9m L=12m 824.83 824.83 824.83 824.83 824.83 859.20 859.20 859.20 859.20 859.20 1082.59 1082.59 1082.59 1082.59 1082.59 1127.70 1127.70 1127.70 1127.70 1127.70 670.18 670.18 670.18 670.18 670.18 698.10 698.10 698.10 698.10 698.10 927.94 927.94 927.94 927.94 927.94 966.60 966.60 966.60 966.60 966.60 567.07 567.07 567.07 567.07 567.07 590.70 590.70 590.70 590.70 590.70 773.28 773.28 773.28 773.28 773.28 805.50 805.50 805.50 805.50 805.50 515.52 515.52 515.52 515.52 515.52 537.00 537.00 537.00 537.00 537.00 463.97 463.97 463.97 463.97 463.97 483.30 483.30 483.30 483.30 483.30 430.85 430.85 430.85 430.85 430.85 448.80 448.80 448.80 448.80 448.80 376.99 376.99 376.99 376.99 376.99 392.70 392.70 392.70 392.70 392.70 628.99 628.99 628.99 628.99 628.99 655.20 655.20 655.20 655.20 655.20 853.63 853.63 853.63 853.63 853.63 889.20 889.20 889.20 889.20 889.20 539.14 539.14 539.14 539.14 539.14 561.60 561.60 561.60 561.60 561.60 718.85 718.85 718.85 718.85 718.85 748.80 748.80 748.80 748.80 748.80 449.28 449.28 449.28 449.28 449.28 468.00 468.00 468.00 468.00 468.00 584.06 584.06 584.06 584.06 584.06 608.40 608.40 608.40 608.40 608.40 404.35 404.35 404.35 404.35 404.35 421.20 421.20 421.20 421.20 421.20 359.42 359.42 359.42 359.42 359.42 374.40 374.40 374.40 374.40 374.40 330.62 330.62 330.62 330.62 330.62 344.40 344.40 344.40 344.40 344.40 283.39 283.39 283.39 283.39 283.39 295.20 295.20 295.20 295.20 295.20 427.68 427.68 427.68 427.68 427.68 445.50 445.50 445.50 445.50 445.50 583.20 583.20 583.20 583.20 583.20 607.50 607.50 607.50 607.50 607.50 388.80 388.80 388.80 388.80 388.80 405.00 405.00 405.00 405.00 405.00 349.92 349.92 349.92 349.92 349.92 364.50 364.50 364.50 364.50 364.50 466.56 466.56 466.56 466.56 466.56 486.00 486.00 486.00 486.00 486.00 349.92 349.92 349.92 349.92 349.92 364.50 364.50 364.50 364.50 364.50 311.04 311.04 311.04 311.04 311.04 324.00 324.00 324.00 324.00 324.00 263.95 263.95 263.95 263.95 263.95 274.95 274.95 274.95 274.95 274.95 223.34 223.34 223.34 223.34 223.34 232.65 232.65 232.65 232.65 232.65 447.55 447.55 447.55 447.55 447.55 466.20 466.20 466.20 466.20 466.20 287.71 287.71 287.71 287.71 287.71 299.70 299.70 299.70 299.70 299.70 255.74 255.74 255.74 255.74 255.74 266.40 266.40 266.40 266.40 266.40 351.65 351.65 351.65 351.65 351.65 366.30 366.30 366.30 366.30 366.30

BJ 50 L=3m 996.67 1308.13 809.80 1121.26 685.21 934.38 622.92 560.63 520.61 455.53 760.03 1031.47 651.46 868.61 542.88 705.74 488.59 434.30 399.50 342.43 516.78 704.70 469.80 422.82 563.76 422.82 375.84 318.94 269.87 540.79 347.65 309.02 424.91

L=5m 996.67 1308.13 809.80 1121.26 685.21 934.38 622.92 560.63 520.61 455.53 760.03 1031.47 651.46 868.61 542.88 705.74 488.59 434.30 399.50 342.43 516.78 704.70 469.80 422.82 563.76 422.82 375.84 318.94 269.87 540.79 347.65 309.02 424.91

L=7m 996.67 1308.13 809.80 1121.26 685.21 934.38 622.92 560.63 520.61 455.53 760.03 1031.47 651.46 868.61 542.88 705.74 488.59 434.30 399.50 342.43 516.78 704.70 469.80 422.82 563.76 422.82 375.84 318.94 269.87 540.79 347.65 309.02 424.91

L=9m 996.67 1308.13 809.80 1121.26 685.21 934.38 622.92 560.63 520.61 455.53 760.03 1031.47 651.46 868.61 542.88 705.74 488.59 434.30 399.50 342.43 516.78 704.70 469.80 422.82 563.76 422.82 375.84 318.94 269.87 540.79 347.65 309.02 424.91

L=12m 996.67 1308.13 809.80 1121.26 685.21 934.38 622.92 560.63 520.61 455.53 760.03 1031.47 651.46 868.61 542.88 705.74 488.59 434.30 399.50 342.43 516.78 704.70 469.80 422.82 563.76 422.82 375.84 318.94 269.87 540.79 347.65 309.02 424.91

Vn = (0.9 Aw Kn E)/(h/tw)2

g5

Kuat Geser Nominal


Section

Vn (KN) *1


Index

BJ 55

400 x 400

400 x 300 400 x 200

350 x 350

350 x 250 350 x 175

300 x 300

300 x 200 300 x 150

250 x 250

L=3m 1409.09 1849.43 1144.88 1585.22 968.75 1321.02 880.68 792.61 736.03 644.03 1074.53 1458.29 921.02 1228.03 767.52 997.78 690.77 614.02 564.82 483.97 730.62 996.30 664.20 597.78 797.04 597.78 531.36 450.92 381.55 764.57 491.51 436.90 600.73

L=5m 1409.09 1849.43 1144.88 1585.22 968.75 1321.02 880.68 792.61 736.03 644.03 1074.53 1458.29 921.02 1228.03 767.52 997.78 690.77 614.02 564.82 482.14 730.62 996.30 664.20 597.78 797.04 597.78 531.36 450.92 381.55 764.57 491.51 436.90 600.73

*1 Vn = 0.6 fy Aw

L=7m 1409.09 1849.43 1144.88 1585.22 968.75 1321.02 880.68 792.61 736.03 644.03 1074.53 1458.29 921.02 1228.03 767.52 997.78 690.77 614.02 564.82 481.63 730.62 996.30 664.20 597.78 797.04 597.78 531.36 450.92 381.55 764.57 491.51 436.90 600.73

BJ 34 L=9m 1409.09 1849.43 1144.88 1585.22 968.75 1321.02 880.68 792.61 736.03 644.03 1074.53 1458.29 921.02 1228.03 767.52 997.78 690.77 614.02 564.82 481.42 730.62 996.30 664.20 597.78 797.04 597.78 531.36 450.92 381.55 764.57 491.51 436.90 600.73

L=12m 1409.09 1849.43 1144.88 1585.22 968.75 1321.02 880.68 792.61 736.03 644.03 1074.53 1458.29 921.02 1228.03 767.52 997.78 690.77 614.02 564.82 481.28 730.62 996.30 664.20 597.78 797.04 597.78 531.36 450.92 381.55 764.57 491.51 436.90 600.73


L=3m 5352.900 5264.700 4592.700 4493.413 3922.800 3741.018 2740.883 2415.805 1525.492 1302.975 4191.700 4096.755 3608.597 3433.366 3026.654 2782.860 1971.785 1709.280 1094.010 906.787 2732.432 2714.094 2426.037 2243.780 2164.306 1532.890 1326.335 752.782 656.552 2041.504 1809.140 1662.336 1594.135

L=5m 4965.584 4847.790 4260.390 4134.435 3638.961 3435.839 2436.860 2146.468 1224.200 1041.485 3825.068 3716.682 3287.039 3112.633 2754.717 2521.118 1698.406 1466.838 834.975 686.704 2444.560 2413.299 2166.925 2004.134 1919.949 1249.507 1076.473 499.621 435.753 1763.192 1571.250 1443.750 1370.931

L=7m 4555.660 4431.566 3908.681 3774.015 3338.553 3131.579 2134.529 1875.167 872.894 729.415 3457.213 3341.139 2969.024 2792.179 2484.603 2256.791 1422.897 1224.306 496.142 399.379 2155.979 2110.962 1908.801 1765.402 1675.333 955.285 808.500 254.998 222.401 1483.603 1333.182 1225.000 1148.075

BJ 37 L=9m 4146.321 4009.673 3557.475 3413.495 3038.575 2826.923 1830.769 1604.389 528.108 441.153 3089.585 2961.194 2648.223 2470.763 2215.318 1991.100 1113.055 940.864 300.071 241.612 1866.051 1809.974 1648.624 1524.771 1431.456 577.743 489.133 154.250 134.532 1182.892 1094.898 1006.052 894.039

Vn = (0.9 Aw Kn E)/(h/tw)2

L=12m 3530.937 3383.483 3029.485 2873.261 2587.599 2370.968 1235.027 1069.820 297.081 248.165 2534.050 2395.860 2169.875 1988.971 1809.917 1596.236 625.991 529.278 168.802 135.886 1323.577 1217.548 1158.021 1071.024 945.823 325.005 275.110 86.764 75.672 665.265 624.949 574.237 502.775

L=3m 6093.227 5969.048 5227.888 5094.653 4465.339 4237.389 3096.774 2729.545 1708.020 1457.778 4748.286 4636.417 4083.757 3885.714 3425.220 3149.564 2222.628 1923.273 1220.097 1010.647 3089.971 3066.540 2743.511 2537.405 2443.100 1718.763 1485.988 833.497 726.949 2298.994 2039.005 1873.548 1795.296

L=5m 5591.956 5459.891 4797.806 4656.652 4097.989 3866.426 2724.541 2398.003 1339.668 1138.619 4297.872 4173.181 3693.451 3495.105 3095.406 2828.571 1886.909 1628.637 902.537 741.102 2737.056 2698.249 2426.329 2244.051 2146.844 1371.241 1181.714 499.820 435.927 1958.535 1748.870 1606.957 1523.155

L=7m 5093.755 4948.026 4370.358 4214.251 3732.889 3494.290 2354.978 2069.203 873.029 729.196 3847.619 3711.302 3301.899 3101.939 2765.588 2505.556 1551.592 1333.081 496.026 399.311 2382.327 2329.158 2109.464 1950.990 1847.605 954.959 808.433 254.946 222.356 1618.030 1457.391 1339.130 1250.438

L=9m 4592.793 4437.168 3940.541 3772.434 3365.766 3122.449 1982.989 1738.480 528.157 441.233 3397.337 3250.239 2914.525 2708.943 2436.718 2183.726 1112.964 941.313 300.071 241.571 2029.611 1961.916 1793.637 1658.890 1548.712 577.802 489.157 154.246 134.529 1183.190 1111.021 1020.866 893.677

L=12m 3840.301 3671.019 3294.915 3112.886 2814.313 2565.269 1235.194 1069.536 297.113 248.159 2723.596 2473.558 2329.018 2028.358 1927.923 1608.520 626.020 529.396 168.795 135.894 1323.867 1217.385 1157.604 1070.639 945.947 324.977 275.133 86.764 75.672 665.422 624.949 574.237 502.889

*2 Nn = A . fy / ω

g6



Index

400 x 400

400 x 300 400 x 200

350 x 350

350 x 250 350 x 175

300 x 300

300 x 200 300 x 150

250 x 250

BJ 41 L=3m 6334.493 6199.308 5434.891 5296.443 4642.147 4400.888 3213.611 2832.547 1767.227 1508.361 4931.641 4810.863 4241.463 4035.853 3557.505 3271.277 2304.723 1994.344 1260.783 1044.409 3206.470 3182.247 2846.958 2633.080 2537.700 1779.675 1538.690 858.664 748.899 2383.880 2116.162 1944.444 1861.615

L=5m 5798.453 5656.588 4974.977 4828.829 4249.318 4005.835 2819.237 2481.405 1375.409 1169.151 4453.263 4324.324 3827.025 3618.593 3207.381 2928.571 1947.429 1680.969 923.099 757.768 2831.933 2792.046 2510.478 2321.878 2219.703 1410.014 1214.430 499.786 435.897 2022.798 1806.034 1659.483 1572.031

L=7m 5266.529 5116.327 4518.595 4357.724 3859.504 3610.437 2425.107 2129.433 873.067 729.257 3976.378 3833.076 3412.480 3201.384 2856.025 2584.034 1590.909 1366.243 495.994 399.393 2454.479 2400.285 2173.440 2010.160 1902.827 954.868 808.715 255.001 222.404 1659.797 1496.429 1375.000 1282.188

BJ 50 L=9m 4734.398 4571.481 4062.036 3886.875 3469.539 3217.376 2031.063 1778.732 528.226 441.211 3497.230 3342.318 2996.210 2784.091 2505.148 2243.037 1112.939 941.271 300.095 241.596 2081.532 2008.343 1837.423 1699.387 1584.756 577.685 489.054 154.237 134.520 1183.051 1111.272 1021.097 893.900

L=12m 3936.072 3759.748 3377.085 3184.789 2884.497 2626.545 1235.241 1069.933 297.086 248.143 2740.841 2473.815 2327.979 2029.233 1928.666 1608.799 626.157 529.429 168.801 135.896 1323.515 1217.156 1157.488 1070.531 945.982 324.990 275.105 86.758 75.668 665.396 624.949 574.237 502.819

L=3m 7275.689 7120.764 6242.421 6077.810 5331.890 5050.244 3672.253 3239.907 1996.301 1705.493 5654.440 5516.395 4863.163 4623.349 4078.998 3747.564 2623.440 2272.311 1417.229 1172.464 3670.610 3639.851 3256.045 3011.434 2900.000 2014.533 1740.481 956.039 833.827 2718.263 2412.653 2216.877 2120.980

L=5m 6605.987 6439.593 5667.828 5492.580 4841.108 4560.793 3183.212 2799.759 1508.646 1280.685 5058.722 4905.030 4347.500 4104.843 3643.718 3319.543 2178.756 1879.669 972.029 782.944 3201.638 3150.040 2836.082 2623.020 2504.651 1553.625 1336.955 499.676 435.801 2264.206 2025.167 1860.833 1758.862

L=7m 5942.203 5765.504 5098.312 4907.340 4354.662 4066.379 2690.314 2361.288 873.192 729.143 4461.538 4290.529 3829.233 3584.125 3202.723 2891.452 1733.510 1486.250 496.054 399.404 2731.796 2661.130 2415.994 2234.492 2107.490 955.038 808.481 255.004 222.406 1810.555 1640.012 1506.933 1397.381

BJ 55 L=9m 5280.071 5087.684 4530.214 4323.783 3869.429 3572.464 2197.214 1901.925 528.169 441.136 3861.569 3678.772 3311.293 3063.665 2765.513 2463.089 1112.854 941.132 300.112 241.585 2262.269 2164.263 1995.520 1845.606 1681.454 577.817 489.140 154.249 134.531 1182.590 1110.949 1020.800 893.799

L=12m 4280.313 4070.717 3672.438 3420.963 3136.769 2783.065 1234.912 1069.605 297.090 248.164 2742.188 2473.337 2328.032 2028.934 1928.929 1608.898 626.110 529.402 168.800 135.888 1323.470 1217.345 1157.584 1070.621 946.096 324.979 275.146 86.761 75.670 665.308 624.949 574.237 502.851

L=3m 10020.038 9789.238 8597.028 8363.844 7343.049 6943.548 4996.416 4400.447 2626.748 2239.637 7754.682 7559.851 6669.691 6330.491 5594.393 5126.895 3532.683 3055.072 1833.385 1514.642 5001.629 4952.330 4433.032 4100.000 3942.589 2663.882 2300.450 1201.742 1048.120 3659.591 3255.280 2991.128 2853.656

L=5m 8894.383 8652.104 7631.234 7374.497 6518.128 6119.147 4170.531 3663.765 1711.623 1429.256 6749.796 6523.176 5801.383 5455.751 4854.826 4409.618 2781.751 2395.063 972.297 782.565 4209.292 4127.558 3729.537 3449.355 3275.742 1871.463 1584.822 499.799 435.909 2898.515 2604.673 2393.315 2244.470

L=7m 7781.757 7513.670 6676.620 6393.018 5702.755 5287.934 3340.923 2927.527 873.144 729.383 5747.398 5496.216 4927.367 4581.221 4119.752 3688.364 1840.354 1555.309 496.046 399.331 3424.287 3303.527 3022.646 2795.569 2609.752 955.015 808.605 254.966 222.373 1955.672 1836.880 1687.825 1478.071

L=9m 6665.115 6376.365 5718.559 5409.477 4884.439 4457.065 2195.276 1902.115 528.165 441.165 4740.698 4396.973 4055.688 3606.917 3381.921 2859.433 1113.073 941.185 300.100 241.597 2353.081 2164.190 2058.376 1903.740 1682.171 577.812 489.094 154.240 134.524 1182.969 1110.766 1020.632 893.912

L=12m 4454.299 4082.900 3821.716 3420.389 3264.273 2784.023 1234.994 1069.875 297.097 248.149 2741.249 2473.402 2328.131 2028.389 1928.635 1608.496 626.143 529.352 168.799 135.895 1323.784 1217.357 1157.761 1070.784 946.052 324.998 275.126 86.762 75.671 665.406 624.949 574.237 502.815

*2 Nn = A . fy / ω

g7


Section Index

400 x 400

400 x 300 400 x 200

350 x 350

350 x 250 350 x 175

300 x 300

300 x 200 300 x 150

250 x 250

BJ 34 L=3m 5352.900 5264.700 4592.700 4502.400 3922.800 3748.500 2824.926 2492.194 1610.319 1376.349 4242.000 4166.400 3651.900 3498.600 3066.000 2841.300 2049.519 1776.536 1167.201 969.571 2813.917 2800.000 2498.312 2310.626 2232.675 1611.934 1397.040 817.968 713.405 2120.251 1875.756 1723.547 1656.981

L=5m 5156.936 5042.816 4424.566 4304.398 3779.191 3576.813 2579.946 2272.162 1366.218 1164.766 3998.115 3893.832 3438.701 3263.619 2881.579 2643.070 1826.478 1580.828 955.977 790.200 2580.492 2554.874 2289.172 2117.197 2033.903 1381.657 1194.014 630.135 549.583 1893.798 1681.825 1545.352 1475.394

L=7m 4822.432 4704.826 4137.568 4012.834 3534.054 3329.041 2333.333 2052.156 1120.888 951.262 3698.344 3588.630 3178.329 3000.515 2661.458 2430.539 1603.837 1383.520 745.329 604.938 2345.319 2310.857 2077.457 1921.387 1835.795 1151.684 991.507 386.194 336.826 1665.682 1489.062 1368.231 1294.711

BJ 37 L=9m 4490.688 4365.423 3852.936 3717.919 3290.940 3085.185 2086.194 1832.922 800.236 668.295 3399.038 3280.630 2916.853 2741.850 2443.028 2214.575 1380.505 1187.396 454.673 366.015 2110.962 2064.770 1867.706 1727.394 1637.726 875.280 741.002 233.622 203.757 1438.940 1295.703 1190.562 1113.217

L=12m 3991.723 3856.923 3424.832 3279.243 2925.280 2714.337 1717.378 1503.039 450.069 375.903 2949.930 2820.853 2529.017 2351.210 2114.483 1892.938 948.387 801.798 255.726 205.867 1757.169 1698.140 1552.005 1435.410 1339.870 492.249 416.718 131.422 114.622 1008.000 946.592 869.780 761.662

L=3m 6117.600 6016.800 5248.800 5145.600 4483.200 4284.000 3200.000 2823.115 1810.655 1547.668 4848.000 4766.366 4173.600 3994.406 3504.000 3240.719 2317.793 2007.211 1309.732 1086.186 3190.533 3171.765 2832.709 2619.901 2529.159 1815.463 1572.054 912.039 795.451 2395.424 2121.112 1948.993 1872.091

L=5m 5826.286 5692.337 4998.857 4863.516 4269.714 4037.700 2898.757 2553.056 1512.270 1288.571 4509.767 4392.620 3878.810 3678.381 3250.464 2979.083 2043.624 1767.419 1051.603 867.160 2904.129 2870.630 2574.038 2380.662 2285.411 1534.233 1324.024 683.335 595.983 2118.718 1884.429 1731.516 1650.830

L=7m 5418.601 5282.529 4649.070 4501.837 3970.948 3738.220 2598.726 2285.805 1213.999 1029.020 4143.590 4014.840 3558.056 3360.000 2982.128 2717.322 1771.636 1527.509 751.573 604.938 2615.360 2571.701 2316.841 2142.788 2043.320 1252.749 1076.950 386.312 336.929 1840.879 1648.525 1514.754 1429.202

BJ 41 L=9m 5014.426 4864.026 4302.295 4146.334 3674.754 3435.445 2296.974 2017.075 799.952 668.342 3778.644 3640.367 3242.890 3040.608 2714.175 2456.278 1499.077 1286.861 454.551 365.939 2329.158 2271.910 2059.599 1904.871 1801.254 875.075 740.776 233.657 203.788 1564.633 1411.819 1297.256 1208.245

L=12m 4404.320 4246.154 3778.834 3608.415 3227.646 2983.287 1846.154 1613.886 450.015 375.874 3229.847 3077.957 2767.639 2563.077 2311.346 2061.714 948.321 801.743 255.703 205.832 1897.478 1823.675 1674.549 1548.748 1433.015 492.314 416.825 131.428 114.627 1007.639 946.447 869.647 761.504

L=3m 6372.500 6267.500 5467.500 5360.000 4670.000 4462.500 3323.558 2932.129 1877.679 1604.982 5050.000 4950.100 4347.500 4152.542 3650.000 3369.024 2402.936 2082.940 1354.936 1124.680 3313.668 3294.233 2942.043 2721.022 2626.829 1882.565 1630.180 943.145 822.581 2488.118 2201.051 2022.445 1942.708

L=5m 6051.757 5912.736 5192.308 5047.081 4434.948 4194.079 3003.534 2645.374 1558.933 1328.424 4675.926 4554.637 4021.739 3814.103 3370.268 3089.041 2114.583 1827.322 1081.164 891.672 3008.929 2974.404 2666.963 2466.607 2368.074 1582.384 1365.660 699.044 609.683 2192.211 1951.312 1792.972 1706.739

L=7m 5614.537 5469.023 4817.181 4664.926 4114.537 3870.338 2683.504 2360.456 1241.440 1052.509 4290.569 4154.104 3684.322 3476.628 3087.986 2809.385 1825.540 1572.984 751.220 604.822 2702.486 2657.729 2394.085 2214.229 2110.110 1284.042 1103.354 386.292 336.912 1896.739 1699.484 1561.578 1472.721

L=9m 5185.110 5030.096 4448.739 4284.572 3799.837 3550.119 2364.395 2074.983 800.000 668.148 3899.614 3754.731 3346.805 3136.295 2801.228 2531.811 1535.088 1317.244 454.572 365.960 2396.871 2338.654 2121.105 1961.756 1853.063 875.171 740.839 233.666 203.796 1602.878 1447.550 1330.088 1237.334

L=12m 4535.587 4370.642 3891.459 3711.911 3323.843 3069.120 1870.702 1620.783 450.080 375.931 3318.003 3159.236 2841.503 2629.419 2373.212 2114.063 948.598 801.728 255.679 205.862 1939.010 1844.049 1710.451 1581.953 1433.134 492.235 416.815 131.423 114.623 1007.700 946.407 869.610 761.578

*2 Nn = A . fy / ω

g8



Index

400 x 400

400 x 300 400 x 200

350 x 350

350 x 250 350 x 175

300 x 300

300 x 200 300 x 150

250 x 250

BJ 50 L=3m 7392.100 7270.300 6342.300 6217.600 5417.200 5176.500 3810.628 3361.873 2134.278 1824.446 5823.062 5690.999 5013.022 4774.111 4204.568 3869.527 2750.935 2382.432 1536.124 1273.100 3802.724 3777.005 3373.010 3119.612 3011.861 2143.121 1854.258 1061.518 925.822 2845.642 2519.529 2315.080 2221.979

L=5m 6921.442 6756.784 5938.483 5767.718 5072.285 4788.622 3411.765 3005.091 1737.521 1479.943 5340.018 5192.780 4588.808 4348.695 3845.595 3522.172 2387.267 2063.236 1193.651 983.089 3420.122 3378.738 3031.588 2803.839 2690.181 1769.722 1526.560 757.042 660.268 2476.591 2207.448 2028.324 1928.476

L=7m 6377.998 6208.625 5472.217 5291.574 4674.029 4390.585 3012.987 2648.593 1322.211 1105.024 4853.355 4692.985 4167.851 3924.777 3490.519 3171.948 2025.809 1743.759 751.590 605.038 3039.813 2981.846 2693.178 2490.853 2367.930 1395.751 1196.705 386.226 336.854 2108.542 1893.215 1739.589 1634.437

Kc = 1 ( sendi - sendi ) BJ 55

L=9m 5838.942 5657.821 5009.716 4816.112 4278.989 3991.133 2613.651 2292.890 800.157 668.308 4368.382 4196.645 3746.731 3501.014 3133.975 2824.838 1662.994 1425.739 454.639 365.921 2657.512 2583.741 2350.609 2174.019 2045.383 875.091 741.049 233.648 203.780 1740.998 1579.917 1451.714 1339.944

L=12m L=3m L=5m 5028.639 10326.976 9423.715 4830.764 10116.831 9185.612 4314.490 8860.375 8085.392 4101.319 8634.971 7834.581 3685.170 7567.984 6906.041 3387.762 7175.000 6505.333 1870.302 5230.769 4559.280 1620.896 4610.581 4009.853 449.985 2859.801 2191.182 375.951 2441.056 1860.730 3638.509 8040.777 7226.876 3451.470 7844.166 7006.374 3116.873 6915.519 6205.309 2865.599 6574.206 5863.176 2600.737 5800.388 5200.695 2303.993 5328.818 4745.338 948.369 3742.356 3133.660 801.992 3238.486 2705.202 255.690 2033.574 1457.624 205.858 1683.461 1185.933 2004.718 5223.819 4582.753 1843.962 5179.756 4515.359 1753.539 4633.774 4059.339 1621.804 4285.660 3754.380 1432.706 4126.822 3587.084 492.350 2881.754 2251.489 416.782 2489.581 1938.328 131.424 1378.850 756.973 114.623 1202.588 660.207 1007.900 3874.278 3256.980 946.691 3435.800 2909.453 869.872 3157.000 2673.364 761.517 3022.875 2529.669

L=7m 8517.441 8262.621 7307.824 7032.320 6241.891 5831.474 3885.714 3410.042 1322.692 1104.455 6405.259 6171.775 5497.224 5151.282 4601.076 4161.515 2525.182 2168.056 751.448 605.008 3942.083 3846.068 3486.018 3224.131 3045.310 1446.671 1225.007 386.203 336.834 2636.794 2381.462 2188.217 2035.366

BJ 34 L=9m 7606.186 7336.688 6525.983 6234.326 5574.090 5157.505 3213.833 2812.164 799.981 668.224 5592.167 5337.533 4791.599 4441.222 4004.013 3576.596 1685.671 1425.700 454.564 365.926 3299.582 3178.148 2911.559 2692.828 2503.231 875.227 740.969 233.651 203.783 1791.424 1682.529 1545.999 1353.907

L=12m 6243.070 5948.322 5356.452 5037.479 4575.149 4148.810 1871.141 1620.436 450.030 375.929 4153.981 3746.413 3527.471 3073.386 2921.782 2437.035 948.490 801.808 255.710 205.850 2005.188 1843.803 1753.432 1621.705 1433.087 492.295 416.795 131.425 114.624 1007.972 946.620 869.806 761.621

L=3m 5222.341 5106.402 4480.683 4358.567 3827.122 3625.242 2627.415 2315.978 1412.086 1204.579 4055.449 3952.941 3487.966 3313.068 2925.573 2685.539 1869.737 1618.138 996.947 824.352 2625.974 2601.838 2329.444 2154.444 2073.052 1426.699 1232.749 666.020 580.881 1937.181 1719.165 1579.663 1510.307

L=5m 4707.916 4585.976 4039.314 3911.729 3450.132 3242.647 2248.819 1976.567 1036.082 878.470 3594.915 3480.702 3089.594 2910.649 2587.342 2355.970 1525.770 1315.672 622.142 500.862 2264.640 2225.472 2004.622 1854.024 1766.953 1071.990 920.642 319.863 278.974 1587.509 1422.322 1306.907 1231.780

L=7m 4195.063 4062.269 3599.295 3460.723 3074.295 2863.636 1867.888 1638.791 558.804 466.803 3135.255 3010.405 2687.196 2511.558 2249.450 2025.160 1177.624 995.911 317.495 255.566 1902.419 1847.781 1681.684 1555.348 1461.991 611.282 517.440 163.186 142.326 1238.007 1124.800 1033.527 945.547

L=9m 3684.033 3542.867 3160.840 3007.615 2699.794 2485.743 1405.166 1216.936 338.009 282.321 2672.968 2537.393 2289.592 2110.133 1912.664 1696.299 712.281 602.245 192.061 154.616 1505.745 1385.101 1317.173 1218.220 1076.359 369.804 313.075 98.719 86.100 757.193 711.030 653.333 572.037

L=12m 2851.079 2612.754 2446.178 2189.617 2089.374 1781.818 790.315 684.656 190.127 158.822 1754.705 1583.430 1490.571 1298.182 1234.424 1029.457 400.752 338.806 108.031 86.972 847.228 779.030 741.031 685.361 605.542 207.998 176.076 55.529 48.431 425.795 399.955 367.500 321.804

*2 Nn = A . fy / ω

g9



Index

400 x 400

400 x 300 400 x 200

350 x 350

350 x 250 350 x 175

300 x 300

300 x 200 300 x 150

250 x 250

BJ 37 L=3m 5905.019 5774.280 5066.409 4928.736 4327.413 4095.602 2956.522 2606.148 1569.891 1339.397 4577.904 4462.605 3937.358 3740.318 3302.545 3029.104 2096.386 1812.853 1101.279 909.583 2957.221 2927.783 2623.358 2426.277 2332.852 1589.071 1372.133 727.622 634.608 2171.824 1930.471 1773.822 1693.414

L=5m 5278.343 5138.173 4528.732 4379.234 3868.162 3633.588 2493.506 2191.939 1094.986 915.107 4019.900 3887.020 3449.256 3248.091 2888.706 2625.061 1676.531 1444.096 622.324 500.969 2515.708 2469.618 2228.837 2061.395 1959.666 1155.104 990.376 319.863 278.974 1746.213 1566.799 1439.660 1352.637

L=7m 4655.708 4500.224 3994.521 3828.571 3411.872 3168.639 2031.114 1778.162 558.860 466.803 3455.453 3308.965 2962.101 2757.517 2478.076 2222.587 1177.523 995.576 317.519 255.612 2073.846 2008.194 1832.505 1694.837 1586.740 611.349 517.385 163.186 142.326 1251.706 1175.203 1079.841 945.709

BJ 41 L=9m 4027.386 3861.874 3455.431 3279.541 2951.415 2706.254 1405.382 1216.844 338.029 282.346 2890.877 2733.410 2473.977 2269.240 2064.820 1821.200 712.281 602.306 192.061 154.610 1505.620 1384.783 1317.388 1218.419 1076.439 369.804 313.065 98.712 86.093 757.153 711.071 653.371 572.096

L=12m 2852.028 2613.160 2446.993 2189.617 2090.070 1781.289 790.315 684.656 190.146 158.830 1754.932 1583.242 1490.571 1298.182 1234.346 1029.631 400.740 338.767 108.037 86.970 847.188 779.097 741.031 685.361 605.517 207.994 176.089 55.529 48.430 425.808 399.967 367.512 321.804

L=3m 6133.301 5997.608 5262.271 5119.389 4494.706 4254.051 3065.825 2700.090 1620.185 1381.317 4755.179 4631.186 4085.996 3878.026 3424.015 3143.587 2170.659 1877.129 1133.980 936.700 3066.424 3036.036 2720.254 2515.895 2416.966 1640.945 1416.993 746.331 650.925 2248.711 1998.699 1836.513 1751.921

L=5m 5465.266 5320.458 4689.108 4534.687 4005.146 3759.478 2571.861 2262.622 1095.313 914.575 4156.379 4016.194 3566.448 3358.871 2986.907 2712.510 1723.845 1484.007 622.376 500.999 2598.304 2547.241 2300.307 2127.496 2021.396 1179.400 1011.459 319.863 278.974 1795.267 1612.666 1481.805 1390.847

L=7m 4802.185 4639.156 4120.196 3946.981 3519.216 3266.837 2080.783 1821.905 558.751 466.753 3556.338 3401.920 3048.738 2837.193 2550.664 2285.473 1177.494 995.483 317.446 255.604 2127.525 2057.387 1878.921 1737.767 1624.925 611.144 517.555 163.196 142.334 1251.644 1175.016 1079.669 945.937

BJ 50 L=9m 4135.302 3961.757 3548.021 3360.502 3030.500 2771.739 1404.959 1217.435 338.035 282.371 2958.407 2791.221 2530.559 2307.479 2109.827 1830.853 712.281 602.323 192.061 154.623 1506.145 1385.406 1317.207 1218.252 1076.462 369.749 313.062 98.713 86.094 757.050 710.991 653.297 572.046

L=12m 2851.230 2612.819 2446.309 2189.990 2089.485 1781.437 790.468 684.721 190.145 158.820 1754.996 1582.768 1490.146 1298.519 1234.150 1029.680 400.711 338.778 108.033 86.967 847.000 779.191 740.878 685.220 605.396 207.984 176.086 55.529 48.430 425.869 399.913 367.462 321.804

L=3m 7026.711 6865.250 6028.802 5860.132 5149.430 4869.708 3490.265 3074.051 1813.740 1545.524 5434.137 5288.235 4669.537 4428.414 3916.744 3586.563 2457.012 2124.979 1258.460 1038.559 3493.476 3456.410 3099.197 2866.369 2751.806 1841.158 1588.963 815.767 711.485 2547.232 2267.362 2083.376 1984.771

L=5m 6191.039 6013.482 5311.809 5125.804 4537.018 4253.492 2874.636 2523.841 1095.165 914.815 4686.400 4523.270 4021.611 3777.482 3368.337 3051.089 1900.258 1633.450 622.280 500.892 2906.468 2845.124 2573.481 2380.148 2256.720 1198.235 1014.019 319.863 278.974 1981.919 1783.336 1638.626 1533.338

L=7m 5360.479 5170.910 4599.202 4397.171 3928.354 3635.183 2260.172 1976.674 558.713 466.716 3939.475 3755.614 3373.311 3129.145 2820.786 2516.806 1177.400 995.657 317.479 255.578 2321.378 2232.553 2047.260 1893.459 1760.598 611.236 517.478 163.178 142.318 1251.437 1175.042 1079.692 945.749

L=9m 4529.473 4322.414 3886.213 3663.877 3319.363 3020.128 1405.434 1217.265 337.995 282.360 3120.107 2813.496 2649.035 2307.534 2193.782 1830.297 712.281 602.203 192.061 154.608 1505.710 1385.013 1317.232 1218.275 1076.536 369.780 313.053 98.717 86.098 756.946 710.963 653.271 572.053

L=12m 2851.340 2614.040 2446.403 2189.296 2089.566 1781.161 790.381 684.600 190.139 158.819 1754.549 1582.834 1490.388 1298.327 1234.402 1029.505 400.681 338.758 108.035 86.969 847.064 779.113 740.965 685.300 605.437 207.997 176.092 55.528 48.430 425.849 399.958 367.503 321.804

*2 Nn = A . fy / ω

g 10



Section



Index

BJ 55

400 x 400

400 x 300 400 x 200

350 x 350

350 x 250 350 x 175

300 x 300

300 x 200 300 x 150

250 x 250

L=3m 9596.786 9369.827 8233.884 7991.273 7032.874 6635.086 4685.714 4124.037 2320.942 1972.373 7381.462 7166.872 6343.327 6002.285 5316.163 4857.531 3251.172 2808.197 1567.983 1289.481 4703.660 4640.470 4169.610 3856.367 3692.057 2373.444 2043.788 888.468 774.893 3374.764 3011.458 2767.092 2624.384

L=5m 8203.218 7943.354 7038.226 6756.649 6011.617 5599.464 3651.604 3203.709 1095.330 914.901 6121.212 5881.706 5254.164 4907.040 4395.007 3959.529 2308.738 1950.958 622.293 500.987 3719.246 3612.288 3285.485 3038.662 2859.909 1198.163 1014.124 319.863 278.974 2423.885 2199.872 2021.362 1853.697

L=7m 6799.545 6517.882 5833.897 5532.033 4982.954 4565.502 2323.333 2011.890 558.756 466.742 4866.040 4593.111 4167.095 3811.719 3474.173 3025.112 1177.644 995.634 317.491 255.569 2489.550 2289.715 2176.975 2013.429 1779.627 611.269 517.451 163.180 142.321 1251.516 1175.546 1080.156 945.737

*2 Nn = A . fy / ω

kc = 0.8 ( jepit - sendi ) L=9m 5070.176 4645.740 4350.127 3891.710 3715.609 3166.468 1404.976 1217.330 338.005 282.339 3119.397 2814.671 2649.289 2308.610 2194.684 1830.037 712.433 602.233 192.061 154.608 1505.940 1385.163 1317.278 1218.317 1076.344 369.787 313.036 98.719 86.099 757.090 711.078 653.377 572.065

L=12m 2851.542 2613.783 2446.576 2189.390 2089.714 1781.741 790.361 684.616 190.141 158.817 1754.661 1582.953 1490.442 1298.285 1234.227 1029.661 400.722 338.800 108.033 86.969 847.181 779.108 740.984 685.318 605.513 207.988 176.078 55.527 48.429 425.810 399.934 367.481 321.804

L=3m 267518.11 242482.36 229526.13 204910.86 191591.54 168562.77 133112.73 114784.49 81362.65 68966.27 162047.18 146920.91 137687.34 121699.27 114081.18 96145.74 74144.51 63513.43 46756.99 37956.75 80490.57 73339.55 70454.16 64170.25 57669.08 45353.00 38756.62 24649.66 21498.63 39557.84 36846.10 33856.20 29834.12

L=5m 96306.52 87293.65 82629.41 73767.91 68972.96 60682.60 47920.58 41322.42 29290.55 24827.86 58336.99 52891.53 49567.44 43811.74 41069.23 34612.47 26692.02 22864.84 16832.51 13664.43 28976.61 26402.24 25363.50 23101.29 20760.87 16327.08 13952.38 8873.88 7739.51 14240.82 13264.59 12188.23 10740.28

L=7m 49135.98 44537.58 42157.86 37636.69 35190.28 30960.51 24449.28 21082.87 14944.16 12667.27 29763.77 26985.47 25289.51 22352.93 20953.69 17659.42 13618.38 11665.73 8588.02 6971.65 14783.98 13470.53 12940.56 11786.37 10592.28 8330.14 7118.56 4527.49 3948.73 7265.73 6767.65 6218.49 5479.74

L=9m 29724.23 26942.48 25502.90 22767.87 21287.95 18729.20 14790.30 12753.83 9040.29 7662.92 18005.24 16324.55 15298.59 13522.14 12675.69 10682.86 8238.28 7057.05 5195.22 4217.42 8943.40 8148.84 7828.24 7130.03 6407.68 5039.22 4306.29 2738.85 2388.74 4395.32 4094.01 3761.80 3314.90

kc = 0.65 ( jepit - jepit ) L=12m 16719.88 15155.15 14345.38 12806.93 11974.47 10535.17 8319.55 7174.03 5085.17 4310.39 10127.95 9182.56 8605.46 7606.20 7130.07 6009.11 4634.03 3969.59 2922.31 2372.30 5030.66 4583.72 4403.39 4010.64 3604.32 2834.56 2422.29 1540.60 1343.66 2472.36 2302.88 2116.01 1864.63

L=3m 405234.54 367310.56 347684.56 310397.52 290221.51 255337.68 201638.21 173874.73 123247.56 104469.61 245467.92 222554.74 208567.81 184349.19 172809.36 145640.88 112313.58 96209.70 70827.15 57496.62 121926.55 111094.23 106723.47 97204.64 87356.71 68700.41 58708.25 37339.12 32565.97 59921.93 55814.20 51285.13 45192.51

L=5m 145884.43 132231.80 125166.44 111743.11 104479.74 91921.57 72589.76 62594.90 44369.12 37609.06 88368.45 80119.71 75084.41 66365.71 62211.37 52430.72 40432.89 34635.49 25497.77 20698.78 43893.56 39993.92 38420.45 34993.67 31448.41 24732.15 21134.97 13442.08 11723.75 21571.90 20093.11 18462.65 16269.30

L=7m 74430.83 67465.21 63860.43 57011.79 53305.99 46898.76 37035.59 31936.17 22637.31 19188.30 45085.95 40877.40 38308.37 33860.05 31740.50 26750.37 20629.02 17671.17 13009.07 10560.60 22394.67 20405.06 19602.27 17853.91 16045.11 12618.44 10783.15 6858.21 5981.51 11006.07 10251.59 9419.72 8300.67

L=9m 45026.06 40812.28 38631.62 34488.61 32246.83 28370.85 22404.25 19319.41 13694.17 11607.73 27274.21 24728.30 23174.20 20483.24 19201.04 16182.32 12479.29 10689.97 7869.68 6388.51 13547.39 12343.80 11858.16 10800.52 9706.30 7633.38 6523.14 4148.79 3618.44 6657.99 6201.58 5698.35 5021.39

L=12m 25327.16 22956.91 21730.28 19399.84 18138.84 15958.61 12602.39 10867.17 7702.97 6529.35 15341.75 13909.67 13035.49 11521.82 10800.59 9102.56 7019.60 6013.11 4426.70 3593.54 7620.41 6943.39 6670.22 6075.29 5459.79 4293.78 3669.27 2333.70 2035.37 3745.12 3488.39 3205.32 2824.53

*3 Ncrb = π2. E . A/( Kc.L / rx )2

g 11


400 x 300 400 x 200

350 x 350

350 x 250 350 x 175

300 x 300

300 x 200 300 x 150

250 x 250

4


Index

400 x 400


L=3m 171211.59 155188.71 146896.72 131142.95 122618.59 107880.17 85192.14 73462.07 52072.10 44138.41 103710.20 94029.38 88119.90 77887.53 73011.96 61533.27 47452.49 40648.60 29924.47 24292.32 51513.97 46937.31 45090.67 41068.96 36908.21 29025.92 24804.23 15775.78 13759.12 25317.02 23581.50 21667.97 19093.84

L=5m 61636.17 55867.94 52882.82 47211.46 44142.69 38836.86 30669.17 26446.35 18745.95 15889.83 37335.67 33850.58 31723.16 28039.51 26284.30 22151.98 17082.90 14633.49 10772.81 8745.24 18545.03 16897.43 16232.64 14784.83 13286.95 10449.33 8929.52 5679.28 4953.28 9114.13 8489.34 7800.47 6873.78

L=7m 31447.03 28504.05 26981.03 24087.48 22521.78 19814.73 15647.54 13493.03 9564.26 8107.06 19048.81 17270.70 16185.29 14305.87 13410.36 11302.03 8715.76 7466.07 5496.33 4461.85 9461.75 8621.14 8281.96 7543.28 6779.06 5331.29 4555.88 2897.59 2527.19 4650.06 4331.30 3979.83 3507.03

*3 Ncrb = π2. E . A/( Kc.L / rx )2

L=9m 19023.51 17243.19 16321.86 14571.44 13624.29 11986.69 9465.79 8162.45 5785.79 4904.27 11523.36 10447.71 9791.10 8654.17 8112.44 6837.03 5272.50 4516.51 3324.94 2699.15 5723.77 5215.26 5010.07 4563.22 4100.91 3225.10 2756.03 1752.86 1528.79 2813.00 2620.17 2407.55 2121.54

Mengalami Tegangan Leleh Ny ( KN ) * L=12m 10700.72 9699.29 9181.05 8196.43 7663.66 6742.51 5324.51 4591.38 3254.51 2758.65 6481.89 5876.84 5507.49 4867.97 4563.25 3845.83 2965.78 2540.54 1870.28 1518.27 3219.62 2933.58 2818.17 2566.81 2306.76 1814.12 1550.26 985.99 859.95 1582.31 1473.84 1354.25 1193.36

BJ 34

BJ 37

BJ 41

5352.90 5264.70 4592.70 4502.40 3922.80 3748.50 2856.00 2522.10 1766.52 1515.36 4242.00 4166.40 3651.90 3498.60 3066.00 2841.30 2131.50 1851.15 1325.94 1106.28 2830.80 2830.80 2515.80 2326.80 2261.70 1750.56 1519.98 982.38 856.80 2198.70 1935.78 1778.70 1723.26

6117.60 6016.80 5248.80 5145.60 4483.20 4284.00 3264.00 2882.40 2018.88 1731.84 4848.00 4761.60 4173.60 3998.40 3504.00 3247.20 2436.00 2115.60 1515.36 1264.32 3235.20 3235.20 2875.20 2659.20 2584.80 2000.64 1737.12 1122.72 979.20 2512.80 2212.32 2032.80 1969.44

6372.50 6267.50 5467.50 5360.00 4670.00 4462.50 3400.00 3002.50 2103.00 1804.00 5050.00 4960.00 4347.50 4165.00 3650.00 3382.50 2537.50 2203.75 1578.50 1317.00 3370.00 3370.00 2995.00 2770.00 2692.50 2084.00 1809.50 1169.50 1020.00 2617.50 2304.50 2117.50 2051.50

BJ 50

BJ 55

7392.10 10450.90 7270.30 10278.70 6342.30 8966.70 6217.60 8790.40 5417.20 7658.80 5176.50 7318.50 3944.00 5576.00 3482.90 4924.10 2439.48 3448.92 2092.64 2958.56 5858.00 8282.00 5753.60 8134.40 5043.10 7129.90 4831.40 6830.60 4234.00 5986.00 3923.70 5547.30 2943.50 4161.50 2556.35 3614.15 1831.06 2588.74 1527.72 2159.88 3909.20 5526.80 3909.20 5526.80 3474.20 4911.80 3213.20 4542.80 3123.30 4415.70 2417.44 3417.76 2099.02 2967.58 1356.62 1917.98 1183.20 1672.80 3036.30 4292.70 2673.22 3779.38 2456.30 3472.70 2379.74 3364.46

Parameter

Konstanta

Konstanta

Øb Ny ( KN )

Puntir

Puntir

Torsi (J)

Lengkung (Iw)

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

4817.61 4738.23 4133.43 4052.16 3530.52 3373.65 2570.40 2269.89 1589.87 1363.82 3817.80 3749.76 3286.71 3148.74 2759.40 2557.17 1918.35 1666.04 1193.35 995.65 2547.72 2547.72 2264.22 2094.12 2035.53 1575.50 1367.98 884.14 771.12 1978.83 1742.20 1600.83 1550.93

5505.84 5415.12 4723.92 4631.04 4034.88 3855.60 2937.60 2594.16 1816.99 1558.66 4363.20 4285.44 3756.24 3598.56 3153.60 2922.48 2192.40 1904.04 1363.82 1137.89 2911.68 2911.68 2587.68 2393.28 2326.32 1800.58 1563.41 1010.45 881.28 2261.52 1991.09 1829.52 1772.50

5735.25 5640.75 4920.75 4824.00 4203.00 4016.25 3060.00 2702.25 1892.70 1623.60 4545.00 4464.00 3912.75 3748.50 3285.00 3044.25 2283.75 1983.38 1420.65 1185.30 3033.00 3033.00 2695.50 2493.00 2423.25 1875.60 1628.55 1052.55 918.00 2355.75 2074.05 1905.75 1846.35

6652.89 6543.27 5708.07 5595.84 4875.48 4658.85 3549.60 3134.61 2195.53 1883.38 5272.20 5178.24 4538.79 4348.26 3810.60 3531.33 2649.15 2300.72 1647.95 1374.95 3518.28 3518.28 3126.78 2891.88 2810.97 2175.70 1889.12 1220.96 1064.88 2732.67 2405.90 2210.67 2141.77

9405.81 9250.83 8070.03 7911.36 6892.92 6586.65 5018.40 4431.69 3104.03 2662.70 7453.80 7320.96 6416.91 6147.54 5387.40 4992.57 3745.35 3252.74 2329.87 1943.89 4974.12 4974.12 4420.62 4088.52 3974.13 3075.98 2670.82 1726.18 1505.52 3863.43 3401.44 3125.43 3028.01

4

mm 3714048.00 2518992.00 2469600.00 1574640.00 1547424.00 904500.00 819200.00 546970.67 292933.33 176579.33 2498730.67 1632442.00 1600433.33 966656.00 950272.00 514098.00 457333.33 286848.00 155283.33 84564.00 985875.33 686250.00 675000.00 546970.67 347904.00 367696.00 230400.00 72900.00 50858.67 466480.00 457333.33 364702.00 223608.00

mm6x(1011) 73.87 60.37 63.17 50.00 52.67 40.19 18.67 15.91 4.33 3.54 34.81 27.87 29.14 22.47 23.66 17.57 7.06 5.87 1.86 1.46 12.37 10.18 10.60 9.81 7.77 2.73 2.25 0.68 0.60 3.82 3.96 3.64 2.83

*4 Ny = A . fy

g 12


Weight

Index

Section d

Web

Flange

Width Thickness Thickness B

t1

t2


Area

r

A

Momen

Radius

Modulus

Centre

Modulus

Inersia

of Gyration

of Section


of Plastis

Ix 2

Iy 4

rx 4

ry

Sx

Sy

Cx

Zx

Zy

mm

mm

mm

mm3

502

113.0

22.71

30.71

558406.96

172713.04

K

K

K

K

K

27.9 27.9 51.3 48.8 50.2

324 285 628 498.0 472.0

47.0 41.1 218.0 167.0 160.0

27.84 26.26 19.12 20.94 17.28

19.41 19.46 39.67 35.97 38.38

365904.56 319414.32 710360.72 565516.18 525520.16

73098.06 63595.28 331998.23 257293.41 243828.14

K K K K K

K K K K K

K K K K K

K K K K K

K K K NK K

83.0

36.1

277.0

67.6

17.90

26.58

308569.10

103688.58

K

K

K

K

K

134 114

82.4 82.6

22.2 22.1

184.0 160.0

26.8 23.0

22.88 21.45

15.44 15.41

209457.92 179760.90

41935.04 35720.38

K K

K K

K K

K K

K K

2880

984

75.0

43.8

330.0

112.0

15.50

33.47

368712.00

171399.87

K

K

K

K

K

29.65

1530

261

71.8

29.7

181.0

41.8

16.27

21.70

202301.95

64340.50

K

K

K

K

K

9.0

23.04

1210

97.5

72.6

20.6

139.0

21.7

19.27

14.63

157201.92

33707.52

K

K

K

K

K

10

11.0

40.14

1640

563

63.9

37.5

219.0

75.1

13.69

28.58

246098.34

114720.12

K

K

K

K

K

6.0

9

11

26.84

1020

151

61.7

23.7

138.0

30.1

15.52

17.41

156960.32

46728.44

K

K

K

K

K

75

5.0

7

8

17.85

666

49.5

61.1

16.6

88.8

13.2

17.95

11.64

101834.25

20777.40

K

K

K

K

K

125

125

6.5

9

10

30.31

847

293

52.9

31.1

136.0

47.0

11.86

23.72

153489.84

71895.32

K

K

K

K

K

13.20

125

60

6.0

8

9

16.84

413

29.2

49.5

13.2

66.1

97.3

16.39

9.34

77649.24

15728.56

K

K

K

K

K

100 x 100

17.20

100

100

6.0

8

10

21.90

383

134

41.8

24.7

76.5

26.7

10.00

18.82

87600.00

41215.80

K

K

K

K

K

100 x 50

9.30

100

50

5.0

7

8

11.85

187

14.8

39.8

11.2

37.5

59.1

12.82

8.04

44058.30

9527.40

K

K

K

K

K

mm

mm

mm

mm

cm

cm

cm

44.10

244

175

7.0

11

16

56.24

6120

984

104.0 418.0

29.60 25.70 65.70 56.20 49.90

250 248 208 200 200

125 124 202 204 200

6.0 5.0 10.0 12.0 8.0

9 8 16 12 12

12 12 13 13 13

37.66 32.68 83.69 71.53 63.53

4050 3540 6530 4980 4720

294 255 2200 1700 1600

104.0 104.0 88.3 83.5 86.2

200 x 150

30.60

194

150

6.0

9

13

39.01

2690

507

200 x 100

21.30 18.20

200 198

100 99

5.5 4.5

8 7

11 11

27.16 23.18

1840 1580

175 x 175

40.20

175

175

7.5

11

12

51.21

175 x 125

23.30

169

125

5.5

8

12

175 x 90

18.10

175

90

5.0

8

150 x 150

31.50

150

150

7.0

150 x 100

21.10

148

100

150 x 75

14.00

150

125 x 125

23.80

125 x 60

250 x 175 250 x 125 200 x 200

K = Kompak

NK = Non Kompak

mm

mm

3

BJ 34 BJ 37 BJ 41 BJ 50 BJ 55

cm

mm

3

Cy

cm

kg/m

3


S = Slender

h1




2




BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm

mm

mm

mm

mm

mm

mm

mm

mm

mm

KNm

KNm

KNm

KNm

KNm

22703.578 21237.252 20808.173 19319.903 16248.453 78152.880

66726.247

63779.841

54698.682

40191.272

117.265

134.018

139.602

161.938

228.947

1515.382 1515.382 2786.348 2650.561 2726.602

1417.510 1417.510 2606.390 2479.373 2550.503

1388.871 1388.871 2553.730 2429.279 2498.972

1289.534 1289.534 2371.079 2255.529 2320.237

1084.526 1084.526 1994.128 1896.949 1951.369

4581.253 4330.061 15971.515 11849.305 12010.293

3980.602 3791.992 13234.037 9911.499 10048.936

3824.070 3650.747 12527.031 9412.735 9544.140

3335.630 3206.741 10351.865 7882.889 7995.834

2528.292 2459.786 6947.488 5496.343 5580.228

76.840 67.077 149.176 118.758 110.359

87.817 76.659 170.487 135.724 126.125

91.476 79.854 177.590 141.379 131.380

106.112 92.630 206.005 164.000 152.401

150.021 130.960 291.248 231.614 215.463

200 x 150

1960.764

1834.126

1797.069

1668.537

1403.275

6906.444

5882.498

5618.688

4806.553

3514.255

64.800

74.057

77.142

89.485

126.513

200 x 100

1205.788 1200.357

1127.911 1122.831

1105.123 1100.145

1026.081 1021.459

862.956 859.069

3877.450 3571.818

3342.494 3109.495

3203.885 2988.814

2774.103 2611.597

2075.281 1985.472

43.986 37.750

50.270 43.143

52.364 44.940

60.743 52.131

85.878 73.702

175 x 175

2378.987

2225.339

2180.378

2024.430

1702.589

10974.933

9161.152

8694.074

7260.975

5026.508

77.430

88.491

92.178

106.926

151.172

175 x 125

1613.149

1508.963

1478.475

1372.730

1154.495

5766.612

4904.986

4683.084

4000.375

2916.341

42.483

48.552

50.575

58.668

82.944

175 x 90

1118.884

1046.621

1025.475

952.129

800.761

3934.758

3354.665

3205.162

2744.707

2010.859

33.012

37.728

39.300

45.589

64.453

150 x 150

2036.804

1905.256

1866.762

1733.245

1457.696

9989.881

8317.225

7886.133

6562.577

4498.511

51.681

59.064

61.525

71.369

100.900

150 x 100

1287.260

1204.122

1179.794

1095.411

921.264

5781.397

4834.897

4591.270

3843.981

2678.307

32.962

37.670

39.240

45.518

64.354

150 x 75

901.625

843.393

826.353

767.250

645.273

3241.629

2759.296

2635.051

2252.674

1644.826

21.385

24.440

25.459

29.532

41.752

125 x 125

1689.190

1580.092

1548.168

1437.438

1208.916

8973.289

7450.349

7057.406

5849.717

3963.572

32.233

36.838

38.372

44.512

62.931

125 x 60

716.955

670.650

657.100

610.102

513.109

3433.307

2864.209

2717.633

2267.849

1566.583

16.306

18.636

19.412

22.518

31.836

100 x 100

1341.575

1254.929

1229.574

1141.631

960.136

8018.372

6638.822

6282.379

5185.244

3466.188

18.396

21.024

21.900

25.404

35.916

100 x 50

608.326

569.036

557.540

517.662

435.365

3187.785

2649.677

2510.903

2084.585

1419.281

9.252

10.574

11.015

12.777

18.064

250 x 175 250 x 125 200 x 200

(*1) Lp = 1,76.ry.√(E/fy)

(*2) Lr = ry (x1/fL) √ (1+(√(1+x2.fL2))

(*3) Mn = Mp


Mn = Mr ( λr/λ )2

h2



4

Mn (KNm) (*5)


BJ 37

BJ 41

BJ 50

BJ 55

KNm

KNm

KNm

KNm

KNm

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

36.270

41.451

43.178

50.087

70.812

117.265

117.265

117.265

117.265

117.265

134.018

134.018

134.018

134.018

134.018

15.351 13.355 69.720 54.032 51.204

17.544 15.263 79.680 61.750 58.519

18.275 15.899 83.000 64.323 60.957

21.198 18.443 96.279 74.615 70.710

29.970 26.074 136.119 105.159 99.970

70.220 60.126 149.176 118.758 110.359

46.122 37.273 149.176 118.758 110.359

30.334 24.146 147.744 108.952 102.574

22.705 17.928 137.151 96.797 91.699

16.567 13.000 121.263 78.325 75.387

77.069 65.959 170.487 135.724 126.125

46.122 37.273 170.487 134.982 126.125

30.334 24.146 164.321 119.317 112.743

22.705 17.928 150.649 103.652 98.791

16.567 13.000 130.142 78.325 75.376

200 x 150

21.775

24.885

25.922

30.070

42.512

64.800

55.643

43.442

32.566

23.791

74.057

60.384

43.442

32.566

23.791

200 x 100

8.806 7.501

10.064 8.573

10.484 8.930

12.161 10.359

17.193 14.645

36.190 29.755

21.494 16.588

14.632 11.161

11.141 8.451

8.234 6.220

39.007 32.010

21.494 16.588

14.632 11.161

11.141 8.451

8.234 6.220

175 x 175

35.994

41.136

42.850

49.706

70.274

77.430

77.414

69.131

60.848

47.961

88.491

86.108

75.460

64.812

47.961

175 x 125

13.512

15.442

16.085

18.659

26.380

41.905

32.495

23.093

17.511

12.902

46.449

34.221

23.093

17.511

12.902

175 x 90

7.079

8.090

8.427

9.775

13.820

27.313

16.785

11.609

8.905

6.616

29.408

16.785

11.609

8.905

6.616

150 x 150

24.091

27.533

28.680

33.269

47.035

51.681

49.987

43.961

37.935

28.835

59.064

55.319

47.555

38.967

28.835

150 x 100

9.813

11.215

11.682

13.551

19.159

31.650

24.729

17.995

13.855

10.319

34.931

25.799

17.995

13.855

10.319

150 x 75

4.363

4.987

5.194

6.025

8.519

15.226

8.726

6.102

4.704

3.506

15.602

8.726

6.102

4.704

3.506

125 x 125

15.098

17.255

17.974

20.850

29.477

32.233

29.909

25.780

21.633

16.095

36.838

32.884

27.557

21.633

16.095

125 x 60

3.303

3.775

3.932

4.561

6.449

11.832

7.111

5.043

3.910

2.927

12.153

7.111

5.043

3.910

2.927

100 x 100

8.655

9.892

10.304

11.953

16.898

18.396

16.170

13.546

10.867

8.117

21.004

17.608

14.058

10.867

8.117

100 x 50

2.001

2.287

2.382

2.763

3.906

6.317

3.760

2.674

2.076

1.555

6.362

3.760

2.674

2.076

1.555

250 x 175 250 x 125 200 x 200

(*4) Mn = Mp


BJ 34

Mn = Mr ( λr/λ )2

BJ 37

(*5) Mn = Mp


Mn = Mcr ≤ Mp

h3


Section Index

BJ 41

BJ 50

BJ 55

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

139.602

139.602

139.602

139.602

139.602

161.938

161.938

161.938

161.938

161.938

228.947

228.947

228.947

228.947

228.947

79.276 67.847 177.590 141.379 131.380

46.122 37.273 177.590 139.460 130.987

30.334 24.146 169.646 122.568 115.964

22.705 17.928 154.890 105.676 100.942

16.567 13.000 132.754 78.325 75.376

87.773 75.157 206.005 164.000 152.401

46.122 37.273 206.005 156.692 147.599

30.334 24.146 189.986 134.635 128.091

22.705 17.928 170.604 107.314 103.402

16.567 13.000 134.707 78.325 75.376

95.779 79.652 291.248 231.862 215.463

46.122 37.273 278.251 202.856 192.969

30.334 24.146 241.203 143.326 138.325

22.705 17.928 182.858 107.314 103.402

16.567 13.000 134.707 78.325 75.376

200 x 150

77.142

61.876

43.442

32.566

23.791

88.206

65.857

43.442

32.566

23.791

116.345

65.857

43.442

32.566

23.791

200 x 100

39.888 32.819

21.494 16.588

14.632 11.161

11.141 8.451

8.234 6.220

41.359 32.819

21.494 16.588

14.632 11.161

11.141 8.451

8.234 6.220

41.359 32.819

21.494 16.588

14.632 11.161

11.141 8.451

8.234 6.220

175 x 175

92.178

88.908

77.434

65.259

47.961

106.926

99.660

84.714

65.259

47.961

151.172

128.262

86.361

65.259

47.961

175 x 125

47.916

34.221

23.093

17.511

12.902

53.575

34.221

23.093

17.511

12.902

67.245

34.221

23.093

17.511

12.902

175 x 90

30.055

16.785

11.609

8.905

6.616

30.978

16.785

11.609

8.905

6.616

30.978

16.785

11.609

8.905

6.616

150 x 150

61.525

57.021

48.648

38.967

28.835

71.369

63.478

51.081

38.967

28.835

99.738

74.746

51.081

38.967

28.835

150 x 100

35.975

25.799

17.995

13.855

10.319

39.917

25.799

17.995

13.855

10.319

46.485

25.799

17.995

13.855

10.319

150 x 75

15.602

8.726

6.102

4.704

3.506

15.602

8.726

6.102

4.704

3.506

15.602

8.726

6.102

4.704

3.506

125 x 125

38.372

33.822

28.072

21.633

16.095

44.512

37.312

28.141

21.633

16.095

59.369

40.491

28.141

21.633

16.095

125 x 60

12.153

7.111

5.043

3.910

2.927

12.153

7.111

5.043

3.910

2.927

12.153

7.111

5.043

3.910

2.927

100 x 100

21.719

18.050

14.058

10.867

8.117

24.468

19.634

14.058

10.867

8.117

31.752

19.969

14.058

10.867

8.117

100 x 50

6.362

3.760

2.674

2.076

1.555

6.362

3.760

2.674

2.076

1.555

6.362

3.760

2.674

2.076

1.555

250 x 175 250 x 125 200 x 200

(*5) Mn = Mp



h4


Section Index

BJ 34

BJ 37

BJ 41

BJ 50

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

195.80

195.80

195.80

195.80

195.80

223.78

223.78

223.78

223.78

223.78

233.10

233.10

233.10

233.10

233.10

270.40

270.40

270.40

270.40

270.40

175.39 146.16 221.76 266.11 177.41

175.39 146.16 221.76 266.11 177.41

175.39 146.16 221.76 266.11 177.41

175.39 146.16 221.76 266.11 177.41

175.39 146.16 221.76 266.11 177.41

200.45 167.04 253.44 304.13 202.75

200.45 167.04 253.44 304.13 202.75

200.45 167.04 253.44 304.13 202.75

200.45 167.04 253.44 304.13 202.75

200.45 167.04 253.44 304.13 202.75

208.80 174.00 264.00 316.80 211.20

208.80 174.00 264.00 316.80 211.20

208.80 174.00 264.00 316.80 211.20

208.80 174.00 264.00 316.80 211.20

208.80 174.00 264.00 316.80 211.20

242.21 201.84 306.24 367.49 244.99

242.21 201.84 306.24 367.49 244.99

242.21 201.84 306.24 367.49 244.99

242.21 201.84 306.24 367.49 244.99

242.21 201.84 306.24 367.49 244.99

200 x 150

133.06

133.06

133.06

133.06

133.06

152.06

152.06

152.06

152.06

152.06

158.40

158.40

158.40

158.40

158.40

183.74

183.74

183.74

183.74

183.74

200 x 100

127.51 104.33

127.51 104.33

127.51 104.33

127.51 104.33

127.51 104.33

145.73 119.23

145.73 119.23

145.73 119.23

145.73 119.23

145.73 119.23

151.80 124.20

151.80 124.20

151.80 124.20

151.80 124.20

151.80 124.20

176.09 144.07

176.09 144.07

176.09 144.07

176.09 144.07

176.09 144.07

175 x 175

144.59

144.59

144.59

144.59

144.59

165.24

165.24

165.24

165.24

165.24

172.13

172.13

172.13

172.13

172.13

199.67

199.67

199.67

199.67

199.67

175 x 125

106.03

106.03

106.03

106.03

106.03

121.18

121.18

121.18

121.18

121.18

126.23

126.23

126.23

126.23

126.23

146.42

146.42

146.42

146.42

146.42

175 x 90

100.17

100.17

100.17

100.17

100.17

114.48

114.48

114.48

114.48

114.48

119.25

119.25

119.25

119.25

119.25

138.33

138.33

138.33

138.33

138.33

150 x 150

114.66

114.66

114.66

114.66

114.66

131.04

131.04

131.04

131.04

131.04

136.50

136.50

136.50

136.50

136.50

158.34

158.34

158.34

158.34

158.34

150 x 100

98.28

98.28

98.28

98.28

98.28

112.32

112.32

112.32

112.32

112.32

117.00

117.00

117.00

117.00

117.00

135.72

135.72

135.72

135.72

135.72

150 x 75

85.68

85.68

85.68

85.68

85.68

97.92

97.92

97.92

97.92

97.92

102.00

102.00

102.00

102.00

102.00

118.32

118.32

118.32

118.32

118.32

125 x 125

87.63

87.63

87.63

87.63

87.63

100.15

100.15

100.15

100.15

100.15

104.33

104.33

104.33

104.33

104.33

121.02

121.02

121.02

121.02

121.02

125 x 60

82.40

82.40

82.40

82.40

82.40

94.18

94.18

94.18

94.18

94.18

98.10

98.10

98.10

98.10

98.10

113.80

113.80

113.80

113.80

113.80

100 x 100

63.50

63.50

63.50

63.50

63.50

72.58

72.58

72.58

72.58

72.58

75.60

75.60

75.60

75.60

75.60

87.70

87.70

87.70

87.70

87.70

100 x 50

54.18

54.18

54.18

54.18

54.18

61.92

61.92

61.92

61.92

61.92

64.50

64.50

64.50

64.50

64.50

74.82

74.82

74.82

74.82

74.82

250 x 175 250 x 125 200 x 200

*1 Vn = 0.6 fy Aw


Vn = (0.9 Aw Kn E)/(h/tw)2

h5

Kuat Geser Nominal


Section

Vn (KN) *1


Index

BJ 55

BJ 34

BJ 37

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

382.28

382.28

382.28

382.28

382.28

1181.040

1181.040

1181.040

1181.040

1181.040

1349.760

1349.760

1349.760

1349.760

1349.760

342.43 285.36 432.96 519.55 346.37

342.43 285.36 432.96 519.55 346.37

342.43 285.36 432.96 519.55 346.37

342.43 285.36 432.96 519.55 346.37

342.43 285.36 432.96 519.55 346.37

556.160 482.616 1569.188 1323.463 1184.840

289.295 251.040 1304.744 1086.139 978.819

147.617 128.097 1039.320 847.225 773.409

89.300 77.491 670.798 518.870 487.576

50.229 43.587 377.346 291.888 274.301

609.467 528.874 1761.895 1485.052 1329.311

289.345 251.083 1437.767 1193.825 1078.303

147.626 128.105 1108.936 857.824 806.197

89.301 77.492 670.918 518.842 487.715

50.231 43.588 377.372 291.897 274.354

200 x 150

259.78

259.78

259.78

259.78

259.78

653.278

477.952

256.003

154.860

87.115

725.767

501.669

255.978

154.846

87.112

200 x 100

248.95 203.69

248.95 203.69

248.95 203.69

248.95 203.69

248.95 203.69

340.107 289.234

132.104 111.743

67.399 57.008

40.776 34.487

22.936 19.398

365.381 310.446

132.119 111.739

67.400 57.007

40.775 34.487

22.936 19.399

175 x 175

282.29

282.29

282.29

282.29

282.29

918.369

728.598

494.726

299.245

168.329

1027.625

795.495

494.584

299.310

168.333

175 x 125

207.01

207.01

207.01

207.01

207.01

453.496

258.093

131.708

79.674

44.815

499.018

258.177

131.686

79.664

44.815

175 x 90

195.57

195.57

195.57

195.57

195.57

268.055

96.503

49.233

29.784

16.753

268.102

96.503

49.234

29.783

16.753

150 x 150

223.86

223.86

223.86

223.86

223.86

682.543

508.715

284.297

171.941

96.723

759.149

547.053

284.282

171.952

96.723

150 x 100

191.88

191.88

191.88

191.88

191.88

354.937

148.816

75.911

45.922

25.831

383.657

148.810

75.918

45.925

25.832

150 x 75

167.28

167.28

167.28

167.28

167.28

134.838

48.548

24.769

14.984

8.428

134.876

48.544

24.768

14.984

8.428

125 x 125

171.09

171.09

171.09

171.09

171.09

474.653

289.323

147.639

89.303

50.233

523.715

289.384

147.629

89.298

50.233

125 x 60

160.88

160.88

160.88

160.88

160.88

80.441

28.960

14.775

8.938

5.028

80.450

28.959

14.775

8.938

5.028

100 x 100

123.98

123.98

123.98

123.98

123.98

298.636

131.871

67.274

40.699

22.893

324.244

131.853

67.277

40.701

22.893

100 x 50

105.78

105.78

105.78

105.78

105.78

40.753

14.671

7.485

4.528

2.547

40.752

14.671

7.485

4.528

2.547

250 x 175 250 x 125 200 x 200

*1 Vn = 0.6 fy Aw


Vn = (0.9 Aw Kn E)/(h/tw)2

*2 Nn = A . fy / ω

h6



Index

BJ 41

BJ 50

BJ 55

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

1406.000

1406.000

1406.000

1406.000

1403.194

1630.960

1630.960

1630.960

1630.960

1611.621

2305.840

2305.840

2305.840

2305.840

2221.426

626.414 543.580 1824.106 1537.618 1376.300

289.358 251.095 1480.715 1228.194 1109.888

147.628 128.107 1109.211 857.674 806.218

89.295 77.487 670.862 518.897 487.754

50.230 43.588 377.407 291.900 274.309

688.179 597.177 2070.828 1741.704 1561.331

289.309 251.052 1640.980 1354.912 1227.428

147.611 128.092 1108.857 857.621 806.289

89.300 77.491 670.908 518.917 487.722

50.231 43.588 377.378 291.856 274.315

803.675 697.400 2756.056 2307.419 2073.830

289.353 251.090 2032.755 1658.784 1513.498

147.616 128.096 1109.104 857.837 806.106

89.297 77.489 670.829 518.952 487.663

50.230 43.588 377.376 291.887 274.326

200 x 150

749.616

501.736

255.971

154.863

87.115

838.614

501.681

256.020

154.865

87.106

1071.991

501.776

256.008

154.869

87.108

200 x 100

367.027 310.308

132.101 111.738

67.403 57.009

40.775 34.486

22.935 19.399

366.984 310.315

132.099 111.734

67.406 57.010

40.773 34.486

22.936 19.399

366.906 310.328

132.114 111.744

67.402 57.007

40.775 34.487

22.936 19.399

175 x 175

1062.448

815.966

494.783

299.299

168.343

1199.588

891.411

494.618

299.262

168.330

1571.564

969.797

494.753

299.250

168.339

175 x 125

513.687

258.163

131.690

79.672

44.816

567.558

258.116

131.702

79.671

44.813

696.648

258.100

131.706

79.669

44.815

175 x 90

268.063

96.503

49.236

29.783

16.753

268.068

96.503

49.233

29.784

16.753

268.078

96.503

49.232

29.783

16.753

150 x 150

783.984

557.113

284.278

171.943

96.723

879.199

556.967

284.264

171.944

96.723

1130.316

557.170

284.238

171.946

96.723

150 x 100

392.398

148.780

75.916

45.924

25.831

413.197

148.790

75.910

45.924

25.832

413.311

148.784

75.912

45.923

25.832

150 x 75

134.870

48.545

24.768

14.984

8.428

134.849

48.549

24.768

14.983

8.428

134.841

48.547

24.769

14.983

8.428

125 x 125

539.708

289.356

147.638

89.305

50.232

598.359

289.379

147.636

89.306

50.232

742.803

289.339

147.612

89.299

50.233

125 x 60

80.439

28.960

14.775

8.938

5.028

80.438

28.959

14.775

8.938

5.028

80.447

28.960

14.775

8.938

5.028

100 x 100

332.019

131.848

67.281

40.699

22.894

360.034

131.866

67.278

40.698

22.894

366.303

131.874

67.277

40.700

22.894

100 x 50

40.750

14.670

7.485

4.528

2.547

40.753

14.671

7.485

4.528

2.547

40.751

14.671

7.485

4.528

2.547

250 x 175 250 x 125 200 x 200

*2 Nn = A . fy / ω

h7


Section Index

BJ 34

BJ 37

BJ 41

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

1181.040

1181.040

1181.040

1181.040

1181.040

1349.760

1349.760

1349.760

1349.760

1349.760

1406.000

1406.000

1406.000

1406.000

1406.000

617.859 536.156 1644.051 1390.861 1242.207

438.150 380.211 1428.854 1196.916 1075.044

223.644 194.070 1212.899 1003.427 908.189

135.276 117.388 998.007 785.941 738.619

76.090 66.028 571.774 442.128 415.617

684.727 594.182 1852.915 1566.350 1400.110

438.225 380.276 1589.051 1330.791 1195.859

223.584 194.019 1326.658 1094.149 992.010

135.280 117.391 1016.349 786.134 738.810

76.089 66.027 571.629 442.169 415.597

706.302 612.903 1921.258 1624.205 1451.782

438.162 380.221 1642.268 1373.464 1235.031

223.634 194.062 1363.029 1121.863 1018.109

135.273 117.385 1016.272 786.044 738.721

76.088 66.027 571.653 442.089 415.500

200 x 150

702.581

559.952

387.792

234.563

131.944

786.096

611.922

387.878

234.573

131.958

813.386

628.383

387.773

234.576

131.947

200 x 100

396.083 337.105

200.126 169.241

102.101 86.366

61.769 52.244

34.744 29.386

433.404 368.912

200.104 169.287

102.109 86.352

61.764 52.243

34.744 29.384

444.954 378.758

200.147 169.259

102.105 86.364

61.762 52.243

34.743 29.385

175 x 175

972.342

817.802

663.424

453.281

254.988

1092.480

904.371

715.807

453.311

254.988

1131.963

931.769

731.154

453.386

254.966

175 x 125

499.318

367.345

199.487

120.669

67.882

554.638

390.989

199.467

120.687

67.885

572.836

390.903

199.529

120.676

67.888

175 x 90

320.000

146.175

74.580

45.113

25.377

348.212

146.189

74.573

45.117

25.377

357.099

146.193

74.575

45.115

25.377

150 x 150

731.719

589.881

430.621

260.468

146.503

819.184

646.550

430.552

260.456

146.519

847.551

664.570

430.456

260.480

146.523

150 x 100

406.373

225.343

114.999

69.564

39.131

447.023

225.428

115.003

69.564

39.129

459.589

225.357

114.996

69.561

39.131

150 x 75

204.278

73.536

37.518

22.696

12.767

204.243

73.545

37.517

22.697

12.767

204.233

73.532

37.520

22.697

12.767

125 x 125

519.176

390.737

223.631

135.284

76.092

578.251

421.216

223.656

135.275

76.092

597.124

430.295

223.608

135.282

76.089

125 x 60

121.840

43.869

22.381

13.539

7.616

121.873

43.865

22.382

13.539

7.616

121.852

43.866

22.382

13.539

7.616

100 x 100

339.159

199.739

101.917

61.649

34.680

373.561

199.753

101.910

61.654

34.679

384.751

199.726

101.908

61.655

34.679

100 x 50

61.730

22.224

11.338

6.859

3.858

61.725

22.223

11.339

6.859

3.858

61.735

22.222

11.339

6.859

3.858

250 x 175 250 x 125 200 x 200

*2 Nn = A . fy / ω

h8



Index


BJ 50

BJ 55

BJ 34

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

1630.960

1630.960

1630.960

1630.960

1630.960

2305.840

2305.840

2305.840

2305.840

2289.811

1181.040

1181.040

1181.040

1181.040

1157.882

788.549 684.274 2190.442 1850.464 1655.319

438.171 380.229 1842.832 1536.570 1384.200

223.627 194.056 1493.545 1222.375 1112.542

135.270 117.383 1016.549 786.118 738.795

76.087 66.026 571.734 442.179 415.533

999.392 867.236 2958.009 2489.584 2230.077

438.342 380.378 2371.313 1961.692 1775.549

223.615 194.045 1679.946 1299.105 1221.444

135.266 117.379 1016.302 785.991 738.669

76.090 66.028 571.643 442.176 415.510

473.853 411.192 1469.473 1234.289 1108.081

185.159 160.674 1139.008 937.074 850.848

94.473 81.981 709.739 548.974 515.855

57.153 49.596 429.442 332.054 312.077

32.147 27.896 241.538 186.803 175.572

200 x 150

918.255

687.296

387.760

234.586

131.948

1206.192

760.266

387.736

234.604

131.951

587.669

321.101

163.842

99.118

55.752

200 x 100

488.308 415.464

200.099 169.272

102.109 86.362

61.764 52.242

34.744 29.385

555.738 470.194

200.101 169.257

102.103 86.359

61.766 52.240

34.743 29.385

234.837 198.686

84.545 71.506

43.140 36.487

26.096 22.071

14.679 12.415

175 x 175

1285.792

1036.350

749.572

453.290

255.006

1718.175

1297.658

749.526

453.357

255.000

847.447

610.335

316.646

191.524

107.730

175 x 125

641.201

391.063

199.501

120.681

67.885

821.385

391.041

199.491

120.690

67.885

392.591

165.214

84.284

50.990

28.680

175 x 90

388.465

146.166

74.582

45.115

25.378

406.078

146.173

74.579

45.114

25.377

171.574

61.754

31.510

19.061

10.722

150 x 150

958.863

729.818

430.535

260.489

146.515

1264.009

843.969

430.540

260.453

146.516

617.538

356.611

181.913

110.044

61.901

150 x 100

507.405

225.367

114.993

69.566

39.131

619.617

225.385

114.989

69.566

39.130

264.465

95.230

48.584

29.391

16.533

150 x 75

204.302

73.543

37.518

22.696

12.767

204.285

73.534

37.519

22.697

12.767

86.296

31.069

15.852

9.589

5.394

125 x 125

670.473

438.399

223.590

135.281

76.095

864.193

438.346

223.610

135.279

76.094

415.477

185.167

94.473

57.150

32.149

125 x 60

121.862

43.868

22.381

13.539

7.616

121.851

43.869

22.381

13.539

7.616

51.485

18.535

9.456

5.720

3.218

100 x 100

425.956

199.717

101.922

61.653

34.679

526.011

199.755

101.918

61.653

34.680

234.493

84.405

43.057

26.047

14.652

100 x 50

61.738

22.223

11.338

6.859

3.858

61.734

22.223

11.338

6.859

3.858

26.081

9.389

4.790

2.898

1.630

250 x 175 250 x 125 200 x 200

*2 Nn = A . fy / ω

h9



Index

BJ 37

BJ 41

BJ 50

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

1349.760

1349.760

1349.760

1349.760

1309.176

1406.000

1406.000

1406.000

1406.000

1359.768

1630.960

1630.960

1630.960

1626.082

1559.235

508.919 441.622 1640.980 1375.577 1235.592

185.166 160.680 1236.037 1011.621 921.838

94.470 81.978 709.739 548.911 515.980

57.151 49.593 429.409 332.134 312.123

32.148 27.897 241.522 186.803 175.558

514.481 446.448 1695.502 1421.502 1276.728

185.152 160.669 1265.729 1034.867 943.141

94.469 81.977 709.839 548.964 515.875

57.152 49.594 429.400 332.080 312.110

32.147 27.896 241.530 186.811 175.570

514.251 446.248 1909.528 1596.898 1435.986

185.187 160.699 1372.743 1076.197 1011.596

94.476 81.983 709.912 548.957 515.889

57.150 49.593 429.369 332.098 312.134

32.148 27.897 241.524 186.796 175.568

200 x 150

645.683

321.180

163.822

99.112

55.749

663.887

321.070

163.839

99.111

55.748

732.227

321.161

163.836

99.116

55.749

200 x 100

234.897 198.686

84.545 71.506

43.140 36.486

26.096 22.072

14.679 12.415

234.847 198.629

84.545 71.510

43.139 36.487

26.095 22.072

14.679 12.415

234.854 198.661

84.545 71.513

43.138 36.487

26.096 22.072

14.679 12.415

175 x 175

940.352

620.727

316.661

191.514

107.740

969.886

620.727

316.600

191.547

107.731

1084.007

620.403

316.650

191.532

107.732

175 x 125

424.836

165.200

84.288

50.988

28.681

434.496

165.181

84.293

50.989

28.681

458.893

165.197

84.289

50.988

28.681

175 x 90

171.527

61.757

31.510

19.061

10.722

171.556

61.761

31.510

19.061

10.722

171.543

61.759

31.510

19.061

10.722

150 x 150

679.859

356.470

181.895

110.051

61.903

699.791

356.483

181.917

110.048

61.901

773.462

356.527

181.920

110.051

61.902

150 x 100

264.542

95.220

48.584

29.390

16.532

264.564

95.228

48.584

29.391

16.532

264.523

95.227

48.587

29.391

16.532

150 x 75

86.306

31.069

15.852

9.589

5.394

86.294

31.070

15.852

9.589

5.394

86.311

31.069

15.851

9.589

5.394

125 x 125

451.266

185.158

94.473

57.155

32.148

462.325

185.156

94.483

57.151

32.149

501.993

185.197

94.477

57.151

32.149

125 x 60

51.485

18.534

9.456

5.720

3.218

51.483

18.534

9.456

5.720

3.218

51.481

18.534

9.456

5.720

3.218

100 x 100

234.381

84.400

43.060

26.047

14.652

234.475

84.393

43.059

26.048

14.652

234.462

84.399

43.058

26.047

14.652

100 x 50

26.083

9.389

4.790

2.898

1.630

26.081

9.389

4.790

2.898

1.630

26.081

9.389

4.790

2.898

1.630

250 x 175 250 x 125 200 x 200

*2 Nn = A . fy / ω

h 10



Section



Index

BJ 55

kc = 0.8 ( jepit - sendi )

kc = 0.65 ( jepit - jepit )

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

2305.840

2305.840

2305.840

2245.219

2133.062

20845.83

7504.50

3828.83

2316.20

1302.86

31577.12

11367.76

5799.88

3508.57

1973.57

514.258 446.255 2484.642 2063.849 1863.183

185.167 160.681 1391.299 1076.231 1011.055

94.474 81.981 709.861 548.943 515.916

57.150 49.593 429.381 332.085 312.131

32.148 27.897 241.534 186.798 175.565

13959.00 12113.12 22361.57 17091.04 16177.10

5025.24 4360.72 8050.16 6152.77 5823.76

2563.90 2224.86 4107.23 3139.17 2971.30

1551.00 1345.90 2484.62 1899.00 1797.46

872.44 757.07 1397.60 1068.19 1011.07

21144.99 18348.87 33873.14 25889.38 24504.95

7612.20 6605.59 12194.33 9320.18 8821.78

3883.77 3370.20 6221.60 4755.19 4500.91

2349.44 2038.76 3763.68 2876.60 2722.77

1321.56 1146.80 2117.07 1618.09 1531.56

200 x 150

892.030

321.086

163.832

99.111

55.750

9209.57

3315.45

1691.55

1023.29

575.60

13950.59

5022.21

2562.35

1550.07

871.91

200 x 100

234.866 198.668

84.553 71.511

43.138 36.486

26.095 22.072

14.679 12.415

6319.63 5419.77

2275.07 1951.12

1160.75 995.47

702.18 602.20

394.98 338.74

9572.93 8209.83

3446.25 2955.54

1758.29 1507.93

1063.66 912.20

598.31 513.11

175 x 175

1378.601

620.498

316.624

191.527

107.734

9871.53

3553.75

1813.14

1096.84

616.97

14953.33

5383.20

2746.53

1661.48

934.58

175 x 125

458.952

165.198

84.288

50.989

28.681

5238.19

1885.75

962.12

582.02

327.39

7934.77

2856.52

1457.41

881.64

495.92

175 x 90

171.558

61.756

31.509

19.061

10.722

4161.63

1498.19

764.38

462.40

260.10

6304.00

2269.44

1157.88

700.44

394.00

150 x 150

952.396

356.510

181.925

110.046

61.902

5616.77

2022.04

1031.65

624.09

351.05

8508.24

3062.97

1562.74

945.36

531.76

150 x 100

264.529

95.225

48.585

29.391

16.532

3501.55

1260.56

643.14

389.06

218.85

5304.12

1909.48

974.23

589.35

331.51

150 x 75

86.303

31.070

15.852

9.589

5.394

2283.64

822.11

419.44

253.74

142.73

3459.24

1245.33

635.37

384.36

216.20

125 x 125

514.314

185.168

94.476

57.153

32.149

2906.73

1046.42

533.89

322.97

181.67

4403.09

1585.11

808.73

489.23

275.19

125 x 60

51.482

18.534

9.456

5.720

3.218

1414.03

509.05

259.72

157.11

88.38

2141.97

771.11

393.42

238.00

133.87

100 x 100

234.439

84.399

43.060

26.048

14.652

1311.31

472.07

240.85

145.70

81.96

1986.36

715.09

364.84

220.71

124.15

100 x 50

26.081

9.389

4.790

2.898

1.630

643.27

231.58

118.15

71.47

40.20

974.42

350.79

178.97

108.27

60.90

250 x 175 250 x 125 200 x 200

*2 Nn = A . fy / ω

*3 Ncrb = π2. E . A/( Kc.L / rx )2

h 11



Section

4


Index


Parameter

Konstanta

Konstanta

Øb Ny ( KN )

Puntir

Puntir

Torsi (J)

Lengkung (Iw)

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm

mm6x(1011)

2075.26

155283.33

0.97

982.93 852.95 2184.31 1866.93 1658.13

1389.65 1205.89 3088.16 2639.46 2344.26

60750.00 42325.33 551594.67 235008.00 230400.00

0.28 0.24 1.59 1.06 1.09

877.73

1018.16

1439.47

72900.00

0.32

586.66 500.69

611.10 521.55

708.88 605.00

1002.20 855.34

34133.33 22638.00

0.08 0.07

967.87

1106.14

1152.23

1336.58

1889.65

155283.33

0.51

1215.65

560.39

640.44

667.13

773.87

1094.09

42666.67

0.12

668.16

944.64

435.46

497.66

518.40

601.34

850.18

30720.00

0.05

1003.50

1164.06

1645.74

758.65

867.02

903.15

1047.65

1481.17

100000.00

0.21

644.16

671.00

778.36

1100.44

507.28

579.74

603.90

700.52

990.40

48600.00

0.05

374.85

428.40

446.25

517.65

731.85

337.37

385.56

401.63

465.89

658.67

17150.00

0.02

116.27

636.51

727.44

757.75

878.99

1242.71

572.86

654.70

681.98

791.09

1118.44

60750.00

0.08

100.55

56.56

353.64

404.16

421.00

488.36

690.44

318.28

363.74

378.90

439.52

621.40

20480.00

0.01

154.15

93.25

52.45

459.90

525.60

547.50

635.10

897.90

413.91

473.04

492.75

571.59

808.11

34133.33

0.02

75.62

45.74

25.73

248.85

284.40

296.25

343.65

485.85

223.97

255.96

266.63

309.29

437.27

11433.33

0.00

L=3m

L=5m

L=7m

L=9m

L=12m

13341.33

4802.88

2450.45

1482.37

833.83

1181.04

1349.76

1406.00

1630.96

2305.84

1062.94

1214.78

1265.40

1467.86

8933.76 7752.40 14311.40 10938.26 10353.34

3216.15 2790.86 5152.11 3937.78 3727.20

1640.89 1423.91 2628.63 2009.07 1901.63

992.64 861.38 1590.16 1215.36 1150.37

558.36 484.52 894.46 683.64 647.08

790.86 686.28 1757.49 1502.13 1334.13

903.84 784.32 2008.56 1716.72 1524.72

941.50 817.00 2092.25 1788.25 1588.25

1092.14 947.72 2427.01 2074.37 1842.37

1544.06 1339.88 3431.29 2932.73 2604.73

711.77 617.65 1581.74 1351.92 1200.72

813.46 705.89 1807.70 1545.05 1372.25

847.35 735.30 1883.03 1609.43 1429.43

200 x 150

5894.13

2121.89

1082.59

654.90

368.38

819.21

936.24

975.25

1131.29

1599.41

737.29

842.62

200 x 100

4044.56 3468.65

1456.04 1248.71

742.88 637.10

449.40 385.41

252.79 216.79

570.36 486.78

651.84 556.32

679.00 579.50

787.64 672.22

1113.56 950.38

513.32 438.10

175 x 175

6317.78

2274.40

1160.41

701.98

394.86

1075.41

1229.04

1280.25

1485.09

2099.61

175 x 125

3352.44

1206.88

615.75

372.49

209.53

622.65

711.60

741.25

859.85

175 x 90

2663.44

958.84

489.20

295.94

166.47

483.84

552.96

576.00

150 x 150

3594.73

1294.10

660.26

399.41

224.67

842.94

963.36

150 x 100

2240.99

806.76

411.61

249.00

140.06

563.64

150 x 75

1461.53

526.15

268.44

162.39

91.35

125 x 125

1860.31

669.71

341.69

206.70

125 x 60

904.98

325.79

166.22

100 x 100

839.24

302.12

100 x 50

411.69

148.21

250 x 175 250 x 125 200 x 200

*3 Ncrb = π2. E . A/( Kc.L / rx )2

4

*4 Ny = A . fy

h 12


Weight

Index

Section d

Web

Flange


B

t2


Area

r

A

mm

mm

mm

mm

mm

cm

90

930

538

477

90

90

22

1185.00

85

1170

608

472

85

125

22

75

758

508

462

75

75

70

953

568

457

70

60

804 593

538 478

447 447

50

658

508

740 605 435 518 384 466 334 480 415 284

25 20

40 35 30

Radius

Modulus

Centre

Modulus

Inersia

of Gyration

of Section


of Plastis

Ix 2

kg/m

45

Momen Iy 4

Sx

Sy 3

Cx 3

Cy

Zx

Zy 3

mm

mm3

BJ 34 BJ 37 BJ 41 BJ 50 BJ 55

mm

cm

cm

mm

mm

472000 165000

200

118

17600

6920

81.75

92.70

22189125.00 10984950.00

K

K

K

K

K

1488.00

737000 221000

223

122

24300

9360

93.76

98.02

31283712.00 14585376.00

K

K

K

K

K

22

965.70

358000 125000

193

114

14100

5390

72.99

88.28

17480135.70 8525199.60

K

K

K

K

K

105

22

1214.00

551000 168000

213

118

19400

7360

82.00

94.03

24522800.00 11415242.00

K

K

K

K

K

60 60

90 60

22 22

1024.00 755.40

433000 135000 260000 90000

206 186

115 109

16100 10900

6030 4030

73.43 64.17

91.13 83.81

20026368.00 9331712.00 13206658.20 6331007.40

K K

K K

K K

K K

K K

437

50

75

22

838.70

331000 105000

199

112

13000

4790

64.82

88.21

15866526.60 7398172.70

K

K

K

K

K

538 498 448 478 438 468 428 478 458 418

432 432 432 427 427 422 422 417 417 417

45 45 45 40 40 35 35 30 30 30

90 70 45 60 40 55 35 60 50 30

22 22 22 22 22 22 22 22 22 22

942.90 770.10 554.10 659.80 489.00 593.70 424.90 612.00 528.60 361.80

414000 121000 298000 94400 177000 60800 242000 78100 152000 52100 214000 69000 129000 44000 233000 72600 187000 60500 107000 36400

210 197 176 191 176 190 174 195 188 172

113 111 105 109 103 108 102 109 107 100

15400 12000 7900 10100 6950 9130 6030 9740 8170 5120

5610 4370 2810 3660 2440 3270 2080 3480 2900 1740

68.20 61.26 55.27 56.16 52.28 52.42 49.28 51.21 48.50 46.25

91.11 87.32 79.26 85.24 77.72 84.50 76.15 86.70 83.93 74.56

18933432.00 14457857.40 9349329.30 12063783.20 8152608.00 10780404.60 6998952.80 11492748.00 9541230.00 5888295.00

8590761.90 6724513.20 4391796.60 5624135.20 3800508.00 5016765.00 3235613.50 5306040.00 4436539.80 2697580.80

K K K K K K K K K K

K K K K K K K K K K

K K K K K K K K K K

K K K K K K K K K K

K K K K K K K K K K

332

438

412

25

40

22

423.30

142000

46700

183

105

6470

2270

43.40

81.70

7433148.00

3458361.00

K

K

K

K

K

283

428

407

20

35

22

360.70

119000

39400

182

104

5570

1930

39.00

81.54

6312250.00

2941147.80

K

K

K

K

K

NK = Non Kompak

cm

ry

mm

K = Kompak

cm

rx 4


S = Slender

i1




2




BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm

mm

mm

mm

mm

mm

mm

mm

mm

mm

KNm

KNm

KNm

KNm

KNm

90

6409.144

5995.205

5874.077

5453.944

4586.884

99775.047

82179.724

77618.460

63521.997

41145.766

4659.716

5325.390

5547.281

6434.846

9097.541

85

6626.403

6198.432

6073.199

5638.823

4742.371 136292.883 112246.829 106012.895 86745.306

56149.628

6569.580

7508.091

7820.928

9072.276

12826.322

75

6191.885

5791.978

5674.956

5269.065

4431.396

81341.477

67005.797

63289.892

51807.437

33589.436

3670.828

4195.233

4370.034

5069.239

7166.856

70

6409.144

5995.205

5874.077

5453.944

4586.884 112992.579

93061.048

87893.952

71924.306

46569.289

5149.788

5885.472

6130.700

7111.612

10054.348

60

6246.200 5842.785 5724.737 5315.284 4470.268 95656.665 78788.073 74415.219 60901.106 39449.735 4205.537 4806.328 5006.592 5807.647 8210.811 5920.311 5537.944 5426.055 5037.965 4237.037 62673.777 51646.254 48788.564 39960.961 25972.475 2773.398 3169.598 3301.665 3829.931 5414.730

50

6083.255

5690.364

5575.396

5176.625

4353.652

78562.010

64716.865

61128.137

50038.780

32445.136

3331.971

3807.966

3966.632

4601.293

6505.276

6137.570 6028.940 5703.052 5920.311 5594.422 5865.996 5540.107 5920.311 5811.681 5431.478

5741.171 5639.557 5334.716 5537.944 5233.103 5487.137 5182.296 5537.944 5436.330 5080.682

5625.176 5525.615 5226.933 5426.055 5127.373 5376.274 5077.592 5426.055 5326.494 4978.032

5222.845 5130.405 4853.086 5037.965 4760.646 4991.745 4714.426 5037.965 4945.525 4621.986

4392.524 4314.781 4081.549 4237.037 4003.805 4198.165 3964.934 4237.037 4159.293 3887.190

92699.309 72474.544 45671.862 61785.371 39947.376 56079.280 34721.276 60980.188 50521.050 29411.538

76352.611 59707.345 37680.681 50915.089 32990.425 46224.458 28725.168 50252.490 41658.955 24412.626

72115.064 56398.231 35611.528 48098.183 31190.221 43671.145 27175.242 47472.569 39363.460 23122.652

59019.171 46173.725 29226.448 39396.710 25639.481 35785.712 22402.210 38885.489 32276.663 19157.453

38232.034 29957.213 19146.029 25608.951 16898.961 23301.458 14913.918 25279.844 21070.531 12963.136

3976.021 3036.150 1963.359 2533.394 1712.048 2263.885 1469.780 2413.477 2003.658 1236.542

4544.024 3469.886 2243.839 2895.308 1956.626 2587.297 1679.749 2758.260 2289.895 1413.191

4733.358 3614.464 2337.332 3015.946 2038.152 2695.101 1749.738 2873.187 2385.308 1472.074

5490.695 4192.779 2711.305 3498.497 2364.256 3126.317 2029.696 3332.897 2766.957 1707.606

7762.707 5927.722 3833.225 4946.151 3342.569 4419.966 2869.571 4712.027 3911.904 2414.201

25

5703.052

5334.716

5226.933

4853.086

4081.549

39986.188

33025.377

31224.273

25671.133

16928.674

1560.961

1783.956

1858.287

2155.613

3047.591

20

5648.737

5283.910

5177.153

4806.866

4042.677

34690.591

28704.091

27156.780

22392.269

14919.309

1325.573

1514.940

1578.063

1830.553

2588.023

45 40 35 30

(*1) Lp = 1,76.ry.√(E/fy)

(*2) Lr = ry (x1/fL) √ (1+(√(1+x2.fL2))

(*3) Mn = Mp


Mn = Mr ( λr/λ )2

i2



4

Mn (KNm) (*5)


BJ 37

BJ 41

BJ 50

BJ 55

KNm

KNm

KNm

KNm

KNm

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

90

2306.840

2636.388

2746.238

3185.636

4503.830

4659.716

4659.716

4659.716

4659.716

4659.716

5325.390

5325.390

5325.390

5325.390

5325.390

85

3062.929

3500.490

3646.344

4229.759

5980.004

6569.580

6569.580

6569.580

6569.580

6569.580

7508.091

7508.091

7508.091

7508.091

7508.091

75

1790.292

2046.048

2131.300

2472.308

3495.332

3670.828

3670.828

3670.828

3670.828

3670.828

4195.233

4195.233

4195.233

4195.233

4195.233

70

2397.201

2739.658

2853.811

3310.420

4680.249

5149.788

5149.788

5149.788

5149.788

5149.788

5885.472

5885.472

5885.472

5885.472

5885.472

60

1959.660 1329.512

2239.611 1519.442

2332.928 1582.752

2706.196 1835.992

3826.002 2595.713

4205.537 2773.398

4205.537 2773.398

4205.537 2773.398

4205.537 2773.398

4205.537 2773.398

4806.328 3169.598

4806.328 3169.598

4806.328 3169.598

4806.328 3169.598

4806.328 3169.598

50

1553.616

1775.561

1849.543

2145.470

3033.251

3331.971

3331.971

3331.971

3331.971

3331.971

3807.966

3807.966

3807.966

3807.966

3807.966

1804.060 1412.148 922.277 1181.068 798.107 1053.521 679.479 1114.268 931.673 566.492

2061.783 1613.883 1054.031 1349.792 912.122 1204.024 776.547 1273.450 1064.770 647.419

2147.690 1681.128 1097.949 1406.034 950.127 1254.191 808.903 1326.510 1109.135 674.395

2491.321 1950.109 1273.621 1630.999 1102.147 1454.862 938.328 1538.752 1286.597 782.298

3522.212 2757.050 1800.637 2305.895 1558.208 2056.874 1326.602 2175.476 1818.981 1106.008

3976.021 3036.150 1963.359 2533.394 1712.048 2263.885 1469.780 2413.477 2003.658 1236.542

3976.021 3036.150 1963.359 2533.394 1712.048 2263.885 1469.780 2413.477 2003.658 1236.542

3976.021 3036.150 1963.359 2533.394 1712.048 2263.885 1469.780 2413.477 2003.658 1236.542

3976.021 3036.150 1963.359 2533.394 1712.048 2263.885 1469.780 2413.477 2003.658 1236.542

3976.021 3036.150 1963.359 2533.394 1712.048 2263.885 1469.780 2413.477 2003.658 1236.542

4544.024 3469.886 2243.839 2895.308 1956.626 2587.297 1679.749 2758.260 2289.895 1413.191

4544.024 3469.886 2243.839 2895.308 1956.626 2587.297 1679.749 2758.260 2289.895 1413.191

4544.024 3469.886 2243.839 2895.308 1956.626 2587.297 1679.749 2758.260 2289.895 1413.191

4544.024 3469.886 2243.839 2895.308 1956.626 2587.297 1679.749 2758.260 2289.895 1413.191

4544.024 3469.886 2243.839 2895.308 1956.626 2587.297 1679.749 2758.260 2289.895 1389.562

25

726.256

830.007

864.590

1002.925

1417.928

1560.961

1560.961

1560.961

1560.961

1560.961

1783.956

1783.956

1783.956

1783.956

1783.956

20

617.641

705.875

735.287

852.933

1205.871

1325.573

1325.573

1325.573

1325.573

1325.573

1514.940

1514.940

1514.940

1514.940

1514.940

45 40 35 30

(*4) Mn = Mp


BJ 34

Mn = Mr ( λr/λ )2

BJ 37

(*5) Mn = Mp


Mn = Mcr ≤ Mp

i3


Section Index

BJ 41

BJ 50

BJ 55

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

90

5547.281

5547.281

5547.281

5547.281

5547.281

6434.846

6434.846

6434.846

6434.846

6434.846

9097.541

9097.541

9097.541

9097.541

9097.541

85

7820.928

7820.928

7820.928

7820.928

7820.928

9072.276

9072.276

9072.276

9072.276

9072.276

12826.322

12826.322

12826.322 12826.322

12826.322

75

4370.034

4370.034

4370.034

4370.034

4370.034

5069.239

5069.239

5069.239

5069.239

5069.239

7166.856

7166.856

7166.856

7166.856

7166.856

70

6130.700

6130.700

6130.700

6130.700

6130.700

7111.612

7111.612

7111.612

7111.612

7111.612

10054.348

10054.348

10054.348 10054.348

10054.348

60

5006.592 3301.665

5006.592 3301.665

5006.592 3301.665

5006.592 3301.665

5006.592 3301.665

5807.647 3829.931

5807.647 3829.931

5807.647 3829.931

5807.647 3829.931

5807.647 3829.931

8210.811 5414.730

8210.811 5414.730

8210.811 5414.730

8210.811 5414.730

8210.811 5414.730

50

3966.632

3966.632

3966.632

3966.632

3966.632

4601.293

4601.293

4601.293

4601.293

4601.293

6505.276

6505.276

6505.276

6505.276

6505.276

4733.358 3614.464 2337.332 3015.946 2038.152 2695.101 1749.738 2873.187 2385.308 1472.074

4733.358 3614.464 2337.332 3015.946 2038.152 2695.101 1749.738 2873.187 2385.308 1472.074

4733.358 3614.464 2337.332 3015.946 2038.152 2695.101 1749.738 2873.187 2385.308 1472.074

4733.358 3614.464 2337.332 3015.946 2038.152 2695.101 1749.738 2873.187 2385.308 1472.074

4733.358 3614.464 2337.332 3015.946 2038.152 2695.101 1749.738 2873.187 2385.308 1435.306

5490.695 4192.779 2711.305 3498.497 2364.256 3126.317 2029.696 3332.897 2766.957 1707.606

5490.695 4192.779 2711.305 3498.497 2364.256 3126.317 2029.696 3332.897 2766.957 1707.606

5490.695 4192.779 2711.305 3498.497 2364.256 3126.317 2029.696 3332.897 2766.957 1707.606

5490.695 4192.779 2711.305 3498.497 2364.256 3126.317 2029.696 3332.897 2766.957 1707.606

5490.695 4192.779 2711.305 3498.497 2364.256 3126.317 1983.705 3332.897 2766.957 1610.356

7762.707 5927.722 3833.225 4946.151 3342.569 4419.966 2869.571 4712.027 3911.904 2414.201

7762.707 5927.722 3833.225 4946.151 3342.569 4419.966 2869.571 4712.027 3911.904 2414.201

7762.707 5927.722 3833.225 4946.151 3342.569 4419.966 2869.571 4712.027 3911.904 2414.201

7762.707 5927.722 3833.225 4946.151 3342.569 4419.966 2841.758 4712.027 3911.904 2319.729

7762.707 5927.722 3682.429 4946.151 3118.066 4419.966 2585.821 4712.027 3860.142 2065.978

25

1858.287

1858.287

1858.287

1858.287

1858.287

2155.613

2155.613

2155.613

2155.613

2155.613

3047.591

3047.591

3047.591

3047.591

2878.553

20

1578.063

1578.063

1578.063

1578.063

1578.063

1830.553

1830.553

1830.553

1830.553

1804.644

2588.023

2588.023

2588.023

2588.023

2371.349

45 40 35 30

(*5) Mn = Mp



i4


Section Index

BJ 34 L=3m

L=5m

L=7m

BJ 37 L=9m

L=12m

L=3m

L=5m

L=7m

BJ 41 L=9m

L=12m

L=3m

L=5m

L=7m

BJ 50 L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

90

4059.72 4059.72 4059.72 4059.72 4059.72 4639.68 4639.68 4639.68 4639.68 4639.68 4833.00 4833.00 4833.00 4833.00 4833.00 5606.28

5606.28

5606.28

5606.28

5606.28

85

3834.18 3834.18 3834.18 3834.18 3834.18 4381.92 4381.92 4381.92 4381.92 4381.92 4564.50 4564.50 4564.50 4564.50 4564.50 5294.82

5294.82

5294.82

5294.82

5294.82

75

3383.10 3383.10 3383.10 3383.10 3383.10 3866.40 3866.40 3866.40 3866.40 3866.40 4027.50 4027.50 4027.50 4027.50 4027.50 4671.90

4671.90

4671.90

4671.90

4671.90

70

3157.56 3157.56 3157.56 3157.56 3157.56 3608.64 3608.64 3608.64 3608.64 3608.64 3759.00 3759.00 3759.00 3759.00 3759.00 4360.44

4360.44

4360.44

4360.44

4360.44

60

2706.48 2706.48 2706.48 2706.48 2706.48 3093.12 3093.12 3093.12 3093.12 3093.12 3222.00 3222.00 3222.00 3222.00 3222.00 3737.52 2706.48 2706.48 2706.48 2706.48 2706.48 3093.12 3093.12 3093.12 3093.12 3093.12 3222.00 3222.00 3222.00 3222.00 3222.00 3737.52

3737.52 3737.52

3737.52 3737.52

3737.52 3737.52

3737.52 3737.52

50

2255.40 2255.40 2255.40 2255.40 2255.40 2577.60 2577.60 2577.60 2577.60 2577.60 2685.00 2685.00 2685.00 2685.00 2685.00 3114.60

3114.60

3114.60

3114.60

3114.60

2029.86 2029.86 2029.86 1804.32 1804.32 1578.78 1578.78 1353.24 1353.24 1353.24

2803.14 2803.14 2803.14 2491.68 2491.68 2180.22 2180.22 1868.76 1868.76 1868.76

2803.14 2803.14 2803.14 2491.68 2491.68 2180.22 2180.22 1868.76 1868.76 1868.76

2803.14 2803.14 2803.14 2491.68 2491.68 2180.22 2180.22 1868.76 1868.76 1868.76

2803.14 2803.14 2803.14 2491.68 2491.68 2180.22 2180.22 1868.76 1868.76 1868.76

2803.14 2803.14 2803.14 2491.68 2491.68 2180.22 2180.22 1868.76 1868.76 1868.76

25

1127.70 1127.70 1127.70 1127.70 1127.70 1288.80 1288.80 1288.80 1288.80 1288.80 1342.50 1342.50 1342.50 1342.50 1342.50 1557.30

1557.30

1557.30

1557.30

1557.30

20

902.16

1245.84

1245.84

1245.84

1245.84

45 40 35 30

2029.86 2029.86 2029.86 1804.32 1804.32 1578.78 1578.78 1353.24 1353.24 1353.24

902.16

*1 Vn = 0.6 fy Aw

2029.86 2029.86 2029.86 1804.32 1804.32 1578.78 1578.78 1353.24 1353.24 1353.24

902.16

2029.86 2029.86 2029.86 1804.32 1804.32 1578.78 1578.78 1353.24 1353.24 1353.24

902.16

2029.86 2029.86 2029.86 1804.32 1804.32 1578.78 1578.78 1353.24 1353.24 1353.24

902.16


2319.84 2319.84 2319.84 2062.08 2062.08 1804.32 1804.32 1546.56 1546.56 1546.56

2319.84 2319.84 2319.84 2062.08 2062.08 1804.32 1804.32 1546.56 1546.56 1546.56

2319.84 2319.84 2319.84 2062.08 2062.08 1804.32 1804.32 1546.56 1546.56 1546.56

2319.84 2319.84 2319.84 2062.08 2062.08 1804.32 1804.32 1546.56 1546.56 1546.56

2319.84 2319.84 2319.84 2062.08 2062.08 1804.32 1804.32 1546.56 1546.56 1546.56

2416.50 2416.50 2416.50 2148.00 2148.00 1879.50 1879.50 1611.00 1611.00 1611.00

2416.50 2416.50 2416.50 2148.00 2148.00 1879.50 1879.50 1611.00 1611.00 1611.00

2416.50 2416.50 2416.50 2148.00 2148.00 1879.50 1879.50 1611.00 1611.00 1611.00

2416.50 2416.50 2416.50 2148.00 2148.00 1879.50 1879.50 1611.00 1611.00 1611.00

2416.50 2416.50 2416.50 2148.00 2148.00 1879.50 1879.50 1611.00 1611.00 1611.00

1031.04 1031.04 1031.04 1031.04 1031.04 1074.00 1074.00 1074.00 1074.00 1074.00 1245.84 Vn = (0.9 Aw Kn E)/(h/tw)2

i5

Kuat Geser Nominal


Section

Vn (KN) *1


Index

BJ 55

BJ 34

L=3m

L=5m

L=7m

L=9m

L=12m

90

7926.12

7926.12

7926.12

7926.12

7926.12

24885.000 23767.908 22139.680 20515.251 18058.781 28440.000

26830.189 24860.140 22861.736 19874.214

85

7485.78

7485.78

7485.78

7485.78

7485.78

31248.000 30017.291 28050.269 26040.000 23078.287 35712.000

33914.530 31492.063 29057.771 25435.897

75

6605.10

6605.10

6605.10

6605.10

6605.10

20279.700 19258.974 17867.577 16500.976 14433.950 23176.800

21721.462 20049.135 18379.699 15841.969

70

6164.76

6164.76

6164.76

6164.76

6164.76

25494.000 24349.570 22681.495 21017.312 18500.726 29136.000

27486.792 25468.531 23421.222 20360.587

60

5284.08 5284.08

5284.08 5284.08

5284.08 5284.08

5284.08 5284.08

5284.08 5284.08

21504.000 20441.065 18996.466 17554.286 15381.974 24576.000 15863.400 14937.288 13806.266 12690.720 11000.971 18129.600

23076.056 21314.831 19551.313 16902.338 16849.071 15468.942 14097.667 12038.247

50

4403.40

4403.40

4403.40

4403.40

4403.40

17612.700 16662.914 15449.737 14238.238 12412.051 20128.800

18811.963 17322.547 15836.979 13609.736

3963.06 3963.06 3963.06 3522.72 3522.72 3082.38 3082.38 2642.04 2642.04 2642.04

3963.06 3963.06 3963.06 3522.72 3522.72 3082.38 3082.38 2642.04 2642.04 2642.04

3963.06 3963.06 3963.06 3522.72 3522.72 3082.38 3082.38 2642.04 2642.04 2642.04

3963.06 3963.06 3963.06 3522.72 3522.72 3082.38 3082.38 2642.04 2642.04 2642.04

3963.06 3963.06 3963.06 3522.72 3522.72 3082.38 3082.38 2642.04 2642.04 2642.04

19800.900 16172.100 11636.100 13855.800 10269.000 12467.700 8922.900 12852.000 11100.600 7597.800

18768.626 15271.105 10874.860 13046.893 9561.453 11717.763 8292.658 12101.695 10413.321 7028.492

17415.040 14148.819 10022.481 12059.008 8791.952 10822.656 7619.898 11185.379 9610.909 6444.275

16059.124 13021.014 9162.283 11084.640 8022.656 9934.422 6938.491 10281.600 8810.000 5857.980

14023.300 11332.936 7878.199 9608.738 6864.305 8592.488 5924.900 8912.621 7608.362 4975.639

22629.600 18482.400 13311.712 15835.200 11712.575 14248.800 10177.246 14688.000 12686.400 8640.000

21188.764 17241.045 12267.897 14716.729 10776.860 13217.811 9347.021 13650.558 11746.667 7922.628

19525.108 15864.721 11212.816 13511.263 9829.146 12126.638 8519.298 12532.423 10769.440 7205.975

17860.773 15383.821 14484.639 12420.968 10166.972 8596.251 12313.530 10514.741 8890.909 7479.924 11037.026 9398.945 7690.498 6450.095 11421.462 9752.988 9781.342 8313.499 6484.839 5406.725

25

2201.70

2201.70

2201.70

2201.70

2201.70

8889.300

8307.757

7656.589

6999.449

6018.483

10169.369

9371.956

8565.936

7766.972

6567.033

20

1761.36

1761.36

1761.36

1761.36

1761.36

7574.700

7065.951

6507.474

5940.941

5097.376

8656.800

7963.937

7274.622

6593.145

5556.354

45 40 35 30

*1 Vn = 0.6 fy Aw


L=3m

L=5m

L=7m

BJ 37 L=9m

Vn = (0.9 Aw Kn E)/(h/tw)2

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

*2 Nn = A . fy / ω

i6



Index

BJ 41 L=3m

L=5m

L=7m

90

29625.000

27869.238

25738.488

85

37200.000

35193.945

75

24142.500

70

BJ 50

L=7m

L=9m

L=12m

23605.578 20431.034 34365.000 31819.444 29197.111 26536.680 22578.844 47679.097 43225.089

38805.911

34359.972

27652.248

32602.980

30048.465 26178.747 43152.000 40253.731 37040.343 33818.182 29000.000 60165.680 54764.811

49319.321

43922.246

35844.888

22542.017

20758.813

18965.043 16290.486 27977.323 25763.845 23533.866 21280.623 17940.615 38665.723 34915.079

31176.142

27419.460

21503.707

30350.000

28551.270

26368.375

24183.267 20931.034 35206.000 32598.148 29911.640 27186.100 23131.406 48845.927 44282.918

39755.591

35200.849

28328.970

60

25600.000 18885.000

23947.615 17469.935

22068.966 16017.812

20189.274 17379.498 29696.000 27344.383 25017.692 22668.702 19146.357 41040.078 37121.132 14560.524 12359.293 21775.944 19951.366 18119.603 16287.435 13547.681 30040.155 26978.571

33162.717 23916.139

29236.769 20842.127

23211.610 15379.963

50

20967.500

19504.651

17936.270

16355.304 13978.333 24249.551 22273.168 20302.421 18342.609 15374.399 33482.668 30190.255

26864.609

23552.534

18027.104

23572.500 19252.500 13824.850 16495.000 12176.295 14872.244 10569.652 15300.000 13228.228 8973.214

21989.272 17876.045 12720.386 15259.019 11174.589 13704.986 9692.062 14153.562 12179.724 8215.259

20216.552 16413.043 11601.759 13990.670 10170.549 12546.492 8808.043 12977.099 11142.496 7450.577

18459.280 14959.207 10486.374 12717.810 9171.043 11391.021 7933.159 11796.453 10095.493 6685.144

15820.470 12766.910 8823.248 10795.157 7669.385 9650.520 6614.259 10013.089 8531.311 5542.279

27289.521 22243.924 15894.065 19020.080 13999.013 17097.617 12140.000 17642.147 15192.666 10306.680

22901.256 18579.784 13117.469 15826.468 11491.896 14193.982 9945.198 14679.901 12596.056 8400.480

20699.546 16766.441 11720.569 14226.171 10238.989 12744.115 8845.729 13195.539 11288.218 7446.558

17394.466 14019.397 9639.412 11833.148 8356.511 10575.737 7201.695 10975.881 9347.195 6016.170

37716.000 30714.105 21907.522 26238.409 19277.885 23586.919 16718.714 24337.536 20959.961 14195.024

34030.722 27648.074 19567.700 23564.286 17165.240 21148.306 14876.943 21857.143 18780.416 12592.360

30320.706 24571.284 17236.798 20889.421 15063.110 18709.992 13039.596 19376.062 16594.640 10988.000

26624.587 21493.601 14906.890 18204.441 12976.699 16271.190 11188.760 16885.599 14400.399 9382.543

20631.835 16254.363 10469.171 13433.544 8890.909 11866.764 7574.304 12460.335 10369.665 6200.125

25

10561.377

9717.631

8863.065

8010.977

6740.446

12142.136 11079.152 10020.980

8953.829

7363.947

16736.066 14948.579

13167.906

11387.992

7997.834

20

8990.528

8257.784

7527.129

6800.528

5700.063

10336.265

7590.929

6218.966

14233.590 12705.069

11169.713

9634.332

6684.158

45 40 35 30

L=9m

L=12m

L=3m

L=5m

25109.366 20413.985 14502.617 17426.412 12741.240 15637.875 11041.308 16163.934 13897.915 9351.337

9423.694

L=7m

BJ 55

8504.309

L=9m

L=12m

L=3m

L=5m

*2 Nn = A . fy / ω

i7


Section Index

BJ 34 L=3m

L=5m

L=7m

BJ 37 L=9m

L=12m

L=3m

L=5m

L=7m

BJ 41 L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

90

24885.000

24541.420 23213.619 21886.544 19892.086 28440.000 27773.438 26163.753 24538.395 22115.086 29625.000 28846.154 27129.121 25407.376 22823.575

85

31248.000

30938.614 29313.321 27726.708 25322.528 35712.000 35046.124 33066.667 31108.014 28164.038 37200.000 36399.217 34317.343 32207.792 29062.500

75

20279.700

19901.570 18777.500 17665.244 15980.851 23176.800 22523.615 21146.715 19792.314 17746.401 24142.500 23371.249 21927.793 20477.099 18303.639

70

25494.000

25142.012 23781.716 22422.164 20378.897 29136.000 28453.125 26804.048 25138.913 22656.299 30350.000 29552.093 27793.040 26029.160 23382.126

60

21504.000 15863.400

21123.772 19948.052 18764.398 17012.658 24576.000 23906.615 22484.904 21041.096 18890.085 25600.000 24830.262 23315.118 21787.234 19497.334 15461.404 14540.238 13628.351 12268.677 18129.600 17482.739 16377.236 15260.606 13580.225 18885.000 18158.654 16967.655 15790.134 14009.644

50

17612.700

17233.562 16247.878 15262.305 13781.455 20128.800 19504.651 18298.909 17087.267 15283.827 20967.500 20238.900 18975.113 17679.174 15753.193

19800.900 16172.100 11636.100 13855.800 10269.000 12467.700 8922.900 12852.000 11100.600 7597.800

19393.634 15808.504 11275.291 13504.678 9921.739 12139.922 8604.532 12526.316 10787.755 7305.577

18300.277 14891.436 10578.273 12700.092 9293.213 11406.862 8060.434 11780.018 10137.534 6832.554

17203.215 13977.615 9886.236 11903.608 8673.142 10683.548 7510.859 11041.237 9487.692 6352.676

15554.517 12604.910 8842.021 10716.009 7732.681 9597.921 6683.820 9939.675 8506.207 5636.350

22629.600 18482.400 13298.400 15835.200 11736.000 14248.800 10197.600 14688.000 12686.400 8683.200

21949.176 17874.662 12750.144 15270.203 11219.885 13727.168 9730.534 14163.934 12198.462 8261.846

20609.836 16771.688 11905.461 14304.607 10450.579 12836.757 9056.483 13268.293 11408.633 7670.671

19259.234 15649.788 11054.364 13329.293 9691.164 11953.691 8393.086 12363.636 10607.358 7094.118

17248.171 13970.068 9778.235 11861.573 8541.485 10625.503 7384.214 11002.247 9418.263 6215.605

21371.260 17375.903 12335.263 14820.305 10828.167 13311.659 9383.834 13746.631 11820.215 7948.155

19942.893 16192.178 11429.455 13791.806 10020.492 12368.750 8678.513 12792.642 10975.914 7329.822

17790.566 14410.554 10074.545 12236.647 8801.296 10953.875 7598.355 11350.148 9709.772 6401.274

25

8889.300

8613.663

8081.182

7552.506

6754.787 10159.200

9740.364

9095.076

8444.888

7470.000 10582.500 10117.113 9423.419

8731.436

7696.364

20

7574.700

7332.720

6873.593

6419.237

5729.728

8284.019

7729.286

7172.162

6332.699

7415.707

6524.964

45 40 35 30

8656.800

23572.500 19252.500 13852.500 16495.000 12225.000 14842.500 10622.500 15300.000 13215.000 9045.000

9017.500

22797.389 18565.574 13243.308 15860.577 11642.857 14244.242 10097.433 14711.538 12670.182 8565.341

8604.485

8008.437

*2 Nn = A . fy / ω

i8



Index


BJ 50

BJ 55

BJ 34

L=3m

L=5m

L=7m

L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

90

34365.000

33075.072

30931.593

28781.407

25550.186

48585.000

45321.828

41703.863

38105.882

32673.167 24785.857 22746.801 20702.995 18668.417 15611.669

85

43152.000

41733.075

39157.895

36538.527

32616.780

61008.000

57284.507

52866.551

48496.025

41929.897 31248.000 28773.481 26303.030 23817.073 20108.108

75

28005.300

26799.330

24982.426

23164.020

20456.757

39593.700

36660.833

33639.507

30574.286

26014.258 20118.750 18402.632 16677.385 14955.531 12373.215

70

35206.000

33884.504

31688.569

29485.762

26175.465

49774.000

46430.970

42724.464

39038.431

33472.764 25392.430 23303.473 21209.651 19125.281 15993.726

60

29696.000 21906.600

28444.444 20803.989

26537.980 19317.989

24643.983 17824.736

21787.234 15614.113

41984.000 30909.581

38982.358 28414.128

35761.499 25917.490

32545.736 23427.685

27730.515 21354.518 19549.091 17727.947 15928.889 13216.964 19689.383 15644.379 14240.036 12824.091 11420.734 9304.047

50

24322.300

23208.302

21600.622

20001.891

17599.349

34421.121

31751.339

29042.821

26349.962

22300.065 17421.068 15910.298 14389.461 12865.376 10590.920

27344.100 22332.900 16068.900 19134.200 14181.000 17217.300 12322.100 17748.000 15329.400 10492.200

26116.619 21269.429 15159.340 18171.130 13328.008 16319.716 11559.193 16854.701 14502.744 9805.794

24349.154 19781.134 14021.728 16873.192 12309.896 15142.744 10659.256 15650.794 13458.648 9029.432

22561.139 18305.656 12896.388 15568.918 11299.602 13963.747 9771.689 14441.009 12392.401 8255.075

19872.166 16078.402 11205.649 13638.061 9766.529 12202.197 8434.018 12650.036 10802.960 7094.118

38658.900 31574.100 22560.179 26997.804 19870.168 24268.893 17231.355 25041.916 21586.255 14643.435

35729.113 29073.757 20671.611 24818.165 18160.326 22290.934 15751.266 23020.183 19810.420 13339.748

32761.780 26577.525 18759.785 22637.490 16447.088 20318.614 14244.399 20997.490 18030.449 12040.422

29737.615 24083.982 16865.702 20462.784 14741.912 18329.593 12743.892 18980.333 16246.327 10741.347

25234.269 20344.137 14014.867 17197.584 12180.437 15367.235 10494.518 15951.685 13579.323 8787.796

19604.851 15980.336 11407.941 13664.497 10047.945 12271.358 8713.770 12674.556 10915.044 7398.053

17919.367 14569.459 10343.200 12437.882 9079.576 11161.773 7868.519 11536.804 9911.250 6664.737

16230.246 13169.463 9271.793 11201.132 8117.787 10038.406 7025.906 10389.652 8908.989 5931.148

14527.439 11761.527 8200.211 9975.378 7156.098 8924.624 6179.294 9252.700 7906.410 5196.854

11993.277 9643.470 6592.691 8126.569 5689.197 7257.101 4849.402 7537.830 6401.730 3967.520

25

12275.700

11580.849

10711.780

9852.087

8560.460

17234.657

15791.902

14331.379

12884.410

10706.539

8715.000

7901.600

7083.108

6264.482

5036.431

20

10460.300

9849.623

9103.829

8361.551

7248.995

14671.329

13432.062

12171.770

10930.303

9056.154

7418.903

6715.160

6011.667

5304.412

4253.060

45 40 35 30

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

*2 Nn = A . fy / ω

i9



Index

BJ 37 L=3m

L=5m

L=7m

BJ 41 L=9m

L=12m

L=3m

L=5m

L=7m

BJ 50 L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

90

28102.767 25598.560 23103.168 20608.696 16888.361 29187.192 26521.934 23871.878 21236.559 17263.986

33494.152

30171.203

26868.647 23569.959 18098.749

85

35428.571 32406.534 29368.421 26355.720 21802.198 36795.252 33574.007 30367.347 27153.285 22328.932

42264.447

38221.435

34220.460 30197.341 24188.341

75

22789.381 20675.112 18586.047 16472.495 13327.660 23669.118 21421.917 19191.176 16965.917 13609.076

27136.919

24352.435

21575.732 18782.897 13761.818

70

28790.514 26225.023 23668.562 21113.043 17301.663 29901.478 27170.994 24456.084 21756.272 17686.480

34313.840

30909.570

27526.192 24146.776 18541.672

60

24188.976 21982.111 19771.521 17554.286 14246.957 25122.669 22775.801 20430.966 18079.096 14562.002 17704.688 15987.302 14275.276 12555.125 9839.674 18388.510 16565.789 14730.889 12908.407 9842.345

28831.068 21084.312

25890.148 18803.948

22966.744 20024.275 14848.000 16520.814 14234.308 9840.135

50

19734.118 17876.377 16026.115 14165.236 11385.068 20496.090 18522.527 16548.934 14581.015 11536.451

23499.807

21040.052

18580.825 16118.158 11533.989

22207.655 18102.253 12911.068 15464.063 11361.084 13901.268 9862.282 14343.750 12352.872 8365.318

20151.024 16370.593 11604.188 13964.021 10187.500 12542.958 8821.453 12952.381 11138.191 7472.633

18074.760 14656.939 10300.852 12468.661 9013.825 11166.771 7790.374 11565.354 9911.250 6573.202

16015.287 12933.800 8991.481 10966.205 7834.446 9806.469 6762.334 10171.745 8683.368 5679.006

12901.710 10360.090 6699.446 8594.410 5690.182 7594.297 4847.344 7971.777 6637.750 3967.196

23065.068 18801.270 13409.971 16061.344 11800.193 14424.198 10233.622 14897.760 12830.097 8688.761

20879.097 16962.555 12024.740 14469.298 10547.886 12985.564 9141.566 13421.053 11531.414 7737.382

18678.685 15135.613 10631.236 12866.615 9296.578 11541.602 8041.257 11934.477 10228.328 6780.360

16484.266 13176.356 13314.315 10406.757 9235.000 6700.121 11274.778 8596.743 8048.058 5689.354 10083.220 7592.072 6942.810 4847.690 10457.963 7973.941 8923.025 6636.535 5827.964 3967.105

26470.571 21556.853 15376.938 18415.977 13518.589 16539.193 11735.333 17081.809 14711.516 9954.649

23736.198 19269.111 13640.832 16424.206 11956.998 14740.839 10354.706 15234.335 13090.863 8758.097

20969.402 16996.119 11894.078 14430.015 10389.011 12925.901 8981.122 13384.615 11456.951 7570.130

18229.400 14702.370 10157.332 12432.878 8830.012 11115.107 7615.637 11532.164 9826.538 6374.362

13201.738 10405.545 6698.864 8594.812 5689.468 7593.076 4848.834 7972.150 6636.104 3966.805

25

9863.301

8864.921

7869.249

6868.966

5117.985 10244.434

9186.198

8121.642

7055.000

5118.501

11747.081

10420.798

9086.380

7759.608

5117.540

20

8396.508

7534.204

6674.480

5817.742

4277.603

7800.606

6888.846

5975.812

4278.766

9990.735

8849.662

7702.725

6562.296

4278.241

45 40 35 30

8712.560

*2 Nn = A . fy / ω

i 10



Section



Index

BJ 55 L=3m

L=5m

L=7m

kc = 0.8 ( jepit - sendi ) L=9m

L=12m

L=3m

L=5m

L=7m

L=9m

kc = 0.65 ( jepit - jepit ) L=12m

L=3m

L=5m

L=7m

L=9m

L=12m

90

46008.523 40453.789 34903.017 29338.768 18094.972 1624372.39 584774.06 298354.11 180485.82 101523.27 2460587.76 885811.60 451944.69 273398.64 153786.74

85

58158.246 51353.535 44629.115 37869.646 24281.791 2535828.71 912898.34 465764.46 281758.75 158489.29 3841255.33 1382851.92 705536.69 426806.15 240078.46

75

37282.203 32587.407 27882.887 23194.903 13765.737 1232719.05 443778.86 226417.78 136968.78 77044.94 1867314.06 672233.06 342976.05 207479.34 116707.13

70

47134.470 41443.797 35757.184 30056.763 18537.803 1887492.14 679497.17 346682.23 209721.35 117968.26 2859159.69 1029297.49 525151.78 317684.41 178697.48

60

39570.217 34640.264 29733.711 24783.943 14848.453 1489161.00 536097.96 273519.37 165462.33 93072.56 2255770.51 812077.39 414325.20 250641.17 140985.66 28891.231 25057.767 21213.288 17389.893 9843.909 895591.84 322413.06 164496.46 99510.20 55974.49 1356636.16 488389.02 249178.07 150737.35 84789.76

50

32257.692 28116.680 23962.857 19819.424 11539.161 1138203.86 409753.39 209057.85 126467.10 71137.74 1724143.12 620691.52 316679.35 191571.46 107758.95 22463.045 18032.039 11909.882 15189.107 10112.989 13504.411 8618.874 14088.714 11794.612 7055.315

13205.431 10403.328 6699.034 8598.109 5689.677 7594.914 4847.555 7975.209 6637.856 3967.583

1424988.90 1024204.86 588194.21 824871.51 519088.55 734482.59 440851.66 797494.88 640250.78 366802.86

512996.01 368713.75 211749.91 296953.74 186871.88 264413.73 158706.60 287098.16 230490.28 132049.03

261732.66 188119.26 108035.67 151507.01 95342.80 134904.97 80972.75 146478.65 117597.08 67371.95

158332.10 113800.54 65354.91 91652.39 57676.51 81609.18 48983.52 88610.54 71138.98 40755.87

89061.81 64012.80 36762.14 51554.47 32443.03 45905.16 27553.23 49843.43 40015.67 22925.18

2158563.07 1551458.25 890992.41 1249509.50 786311.66 1112589.02 667798.97 1208039.58 969847.33 555630.37

777082.71 558524.97 320757.27 449823.42 283072.20 400532.05 240407.63 434894.25 349145.04 200026.93

239840.34 172384.25 98999.16 138834.39 87367.96 123621.00 74199.89 134226.62 107760.81 61736.71

134910.19 96966.14 55687.03 78094.34 49144.48 69536.81 41737.44 75502.47 60615.46 34726.90

25

16069.722 13839.952 11601.136 9098.453

5117.670

485800.22 174888.08

89228.61

53977.80

30362.51

735886.72

264919.22 135162.87 81765.19

45992.92

20

13667.930 11746.386 9826.379

4278.828

409445.57 147400.40

75204.29

45493.95

25590.35

620225.24

223281.09 113918.92 68913.92

38764.08

45 40 35 30

36333.553 29563.764 21035.278 25234.888 18495.387 22664.525 16026.587 23406.716 20141.822 13596.517

31687.623 25732.763 18116.507 21886.570 15861.551 19630.403 13728.054 20300.971 17421.704 11588.906

27072.059 21880.873 15185.896 18528.630 13233.663 16581.540 11416.055 17186.301 14673.392 9582.558

*2 Nn = A . fy / ω

7603.445

396470.77 284961.72 163651.67 229501.75 144424.59 204353.09 122656.95 221884.82 178135.22 102054.56

*3 Ncrb = π2. E . A/( Kc.L / rx )2

i 11



Section

4


Index L=3m

L=5m

L=7m

L=9m

Mengalami Tegangan Leleh Ny ( KN ) * L=12m

Parameter

Konstanta

Konstanta

Øb Ny ( KN )

Puntir

Puntir

Torsi (J)

Lengkung (Iw)

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

4

mm

mm6x(1011)

90

1039598.33 374255.40 190946.63 115510.93 64974.90

24885.00

28440.00

29625.00

34365.00

48585.00

22396.50

25596.00

26662.50

30928.50

43726.50 231822000.00

578.53

85

1622930.38 584254.94 298089.25 180325.60 101433.15 31248.00

35712.00

37200.00

43152.00

61008.00

28123.20

32140.80

33480.00

38836.80

54907.20 614583333.33

976.84

75

788940.19 284018.47 144907.38 87660.02

49308.76

20279.70

23176.80

24142.50

28005.30

39593.70

18251.73

20859.12

21728.25

25204.77

35634.33 129937500.00

409.56

70

1207994.97 434878.19 221876.63 134221.66 75499.69

25494.00

29136.00

30350.00

35206.00

49774.00

22944.60

26222.40

27315.00

31685.40

44796.60 352689750.00

685.51

60

953063.04 343102.70 175052.40 105895.89 59566.44 573178.78 206344.36 105277.73 63686.53 35823.67

21504.00 15863.40

24576.00 18129.60

25600.00 18885.00

29696.00 21906.60

41984.00 30971.40

19353.60 14277.06

22118.40 16316.64

23040.00 16996.50

26726.40 19715.94

37785.60 217242000.00 27874.26 64368000.00

516.34 275.09

50

728450.47 262242.17 133797.02 80938.94

45528.15

17612.70

20128.80

20967.50

24322.30

34386.70

15851.43

18115.92

18870.75

21890.07

30948.03 122906250.00

375.79

911992.90 655491.11 376444.29 527917.77 332216.67 470068.86 282145.07 510396.72 409760.50 234753.83

167508.90 120396.33 69142.83 96964.49 61019.39 86339.18 51822.56 93746.34 75262.13 43118.05

101332.54 72832.35 41827.14 58657.53 36912.96 52229.87 31349.45 56710.75 45528.94 26083.76

56999.56 40968.19 23527.77 32994.86 20763.54 29379.30 17634.07 31899.80 25610.03 14672.11

19800.90 16172.10 11636.10 13855.80 10269.00 12467.70 8922.90 12852.00 11100.60 7597.80

22629.60 18482.40 13298.40 15835.20 11736.00 14248.80 10197.60 14688.00 12686.40 8683.20

23572.50 19252.50 13852.50 16495.00 12225.00 14842.50 10622.50 15300.00 13215.00 9045.00

27344.10 22332.90 16068.90 19134.20 14181.00 17217.30 12322.10 17748.00 15329.40 10492.20

38658.90 31574.10 22718.10 27051.80 20049.00 24341.70 17420.90 25092.00 21672.60 14833.80

17820.81 14554.89 10472.49 12470.22 9242.10 11220.93 8030.61 11566.80 9990.54 6838.02

20366.64 16634.16 11968.56 14251.68 10562.40 12823.92 9177.84 13219.20 11417.76 7814.88

21215.25 17327.25 12467.25 14845.50 11002.50 13358.25 9560.25 13770.00 11893.50 8140.50

24609.69 20099.61 14462.01 17220.78 12762.90 15495.57 11089.89 15973.20 13796.46 9442.98

34793.01 209952000.00 28416.69 98784000.00 20446.29 26244000.00 24346.62 61488000.00 18044.10 18218666.67 21907.53 46806833.33 15678.81 12062166.67 22582.80 60048000.00 19505.34 34750000.00 13350.42 7506000.00

487.88 332.73 173.10 261.09 144.81 227.50 119.38 256.02 197.11 96.41

25

310912.14 111928.37 57106.31

34545.79

19432.01

8889.30

10159.20

10582.50

12275.70

17355.30

8000.37

9143.28

9524.25

11048.13

15619.77

17578666.67

144.00

20

262045.16

29116.13

16377.82

7574.70

8656.80

9017.50

10460.30

14788.70

6817.23

7791.12

8115.75

9414.27

13309.83

11633416.67

120.66

45 40 35 30

328317.44 235976.80 135519.95 190050.40 119598.00 169224.79 101572.22 183742.82 147513.78 84511.38

94336.26

48130.74

*3 Ncrb = π2. E . A/( Kc.L / rx )2

*4 Ny = A . fy

i 12


Weight

Index

14 x 14-1/2

12 x 12 10 x 10 8x8

Section d

Web

Flange


B

t2


Area

r

A

Momen

Radius

Modulus

Centre

Modulus

Inersia

of Gyration

of Section


of Plastis

Ix

Iy 4

ry

Sx

Sy 3

Cx 3

Cy

Zx

Zy

mm 362 356 352 346 308 299 254 247

mm 378 376 373 370 310 306 260 256

mm 20.45 17.88 15.65 12.85 15.42 11.07 14.33 10.62

mm 20.45 17.88 15.65 12.85 15.42 11.07 14.33 10.62

mm 15.2 15.2 15.2 15.2 15.2 15.2 12.7 12.7

cm 222.2 193.6 169.0 138.5 140.4 100.5 108.1 79.7

cm 51140 43920 37840 30520 23580 16430 12270 8775

cm 18440 15800 13580 10900 7689 5299 4188 2972

mm 151.6 150.6 149.6 148.6 129.5 127.8 106.4 104.9

mm 91.2 90.4 89.4 88.6 73.9 72.6 62.2 60.9

cm 2828.9 2465.0 2150.4 1761.9 1532.5 1098.1 965.4 711.3

cm 975.2 840.8 727.7 588.4 495.0 347.5 322.9 232.7

mm 94.14 93.35 92.48 91.50 77.84 76.36 65.05 63.66

mm 37.09 35.38 34.10 32.32 31.32 28.53 26.25 24.02

mm 2091790.80 1807256.00 1562912.00 1267275.00 1092873.60 767418.00 703190.50 507370.20

mm3 3197680.20 2761123.20 2398110.00 1948418.00 1722427.20 1215748.50 1089107.50 792855.60

53.57

204

207

11.33

11.33

10.2

68.4

4987

1682

85.3

49.5

490.0

162.2

51.98

21.10

355543.20

553356.00

NK = Non Kompak

4

rx

kg/m 174.1 151.8 132.4 108.6 110.1 78.87 84.83 62.5

K = Kompak

2


3

BJ 34 BJ 37 BJ 41 BJ 50 BJ 55 K K NK NK K NK K NK

K K NK NK K NK K NK

K K NK NK K NK K NK

K NK NK NK NK NK K NK

NK NK NK NK NK NK NK NK

K

K

K

K

NK

S = Slender

j1


14 x 14-1/2

12 x 12 10 x 10 8x8



2




BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm 4953.508 4910.056 4855.741 4812.289 4013.862 3943.253 3378.379 3307.770

mm 4633.582 4592.937 4542.130 4501.485 3754.624 3688.575 3160.184 3094.136

mm 4539.965 4500.141 4450.360 4410.536 3678.765 3614.051 3096.336 3031.621

mm 4215.252 4178.276 4132.056 4095.080 3415.648 3355.562 2874.876 2814.790

mm 3545.117 3514.020 3475.148 3444.050 2872.633 2822.100 2417.832 2367.299

mm 20468.190 17963.918 15843.948 13506.508 14609.677 10970.776 13878.151 10439.700

mm 17016.718 15011.244 13331.324 11514.316 12202.828 9346.995 11537.252 8800.108

mm 16126.683 14251.096 12685.079 11000.898 11583.130 8928.604 10933.588 8378.413

mm 13392.710 11919.219 10702.794 9419.682 9681.969 7640.418 9079.234 7084.574

mm 9126.629 8282.655 7598.142 6899.970 6717.414 5589.651 6185.614 5054.484

KNm 439.276 379.524 329.385 280.299 229.503 168.586 147.670 107.253

KNm 502.030 433.741 382.742 327.496 262.290 197.166 168.766 124.804

KNm 522.948 451.814 400.899 343.607 273.218 206.935 175.798 130.784

KNm 606.619 530.884 475.268 409.826 317.522 247.152 203.925 155.319

KNm 879.551 789.936 713.470 623.866 473.658 377.671 294.537 234.222

2688.582

2514.938

2464.126

2287.883

1924.159

10871.697

9042.428

8570.795

7122.290

4862.545

74.664

85.330

88.886

103.108

149.265

(*1) Lp = 1,76.ry.√(E/fy)

(*2) Lr = ry (x1/fL) √ (1+(√(1+x2.fL2))

(*3) Mn = Mp


Mn = Mr ( λr/λ )2

j2


14 x 14-1/2

12 x 12 10 x 10 8x8


4

Mn (KNm) (*5)


BJ 37

BJ 41

BJ 50

BJ 55

KNm 708.842 620.492 537.177 400.343 364.658 242.401 235.523 171.971

KNm 810.106 709.134 594.093 435.458 416.752 264.745 269.169 190.022

KNm 843.860 738.681 611.900 445.998 434.117 271.531 280.384 195.659

KNm 978.878 835.081 677.640 482.666 501.912 295.558 325.246 216.417

KNm 1312.562 1054.079 827.387 545.218 639.718 340.682 440.859 263.200

L=3m 439.276 379.524 328.212 266.128 229.503 161.158 147.670 106.548

L=5m 439.276 379.524 328.212 266.128 229.503 161.158 147.670 106.548

L=7m 439.276 379.524 328.212 266.128 229.503 161.158 147.670 106.548

L=9m 439.276 379.524 328.212 266.128 229.503 161.158 147.670 106.548

L=12m 439.276 379.524 328.212 266.128 229.503 157.790 147.670 97.635

L=3m 502.030 433.741 375.099 304.146 262.290 184.180 168.766 121.769

L=5m 502.030 433.741 375.099 304.146 262.290 184.180 168.766 121.769

L=7m 502.030 433.741 375.099 304.146 262.290 184.180 168.766 121.769

L=9m 502.030 433.741 375.099 304.146 262.290 184.180 168.766 121.769

L=12m 502.030 433.741 375.099 304.146 262.290 157.790 168.766 97.635

118.359

135.268

140.904

163.449

220.656

74.664

74.664

74.664

74.664

70.696

85.330

85.330

85.330

85.330

70.696

(*4) Mn = Mp


BJ 34

Mn = Mr ( λr/λ )2

BJ 37

(*5) Mn = Mp


Mn = Mcr ≤ Mp


j3


Section Index

14 x 14-1/2

12 x 12 10 x 10 8x8

BJ 41

BJ 50

BJ 55

L=3m 522.948 451.814 390.728 316.819 273.218 191.855 175.798 126.843

L=5m 522.948 451.814 390.728 316.819 273.218 191.855 175.798 126.843

L=7m 522.948 451.814 390.728 316.819 273.218 191.855 175.798 126.843

L=9m 522.948 451.814 390.728 316.819 273.218 191.855 175.798 126.843

L=12m 522.948 451.814 390.728 316.819 273.218 157.790 175.798 97.635

L=3m 606.619 524.104 453.244 367.510 316.933 222.551 203.925 147.137

L=5m 606.619 524.104 453.244 367.510 316.933 222.551 203.925 147.137

L=7m 606.619 524.104 453.244 367.510 316.933 222.551 203.925 147.137

L=9m 606.619 524.104 453.244 367.510 316.933 222.551 203.925 134.742

L=12m 606.619 524.104 453.244 324.954 302.956 157.790 179.599 97.635

L=3m 857.634 740.975 640.794 519.583 448.078 314.641 288.308 208.022

L=5m 857.634 740.975 640.794 519.583 448.078 314.641 288.308 208.022

L=7m 857.634 740.975 640.794 519.583 448.078 309.756 288.308 181.644

L=9m 857.634 740.975 640.794 470.437 418.646 223.138 244.642 134.742

L=12m 799.981 612.999 472.214 324.954 302.956 157.790 179.599 97.635

88.886

88.886

88.886

88.886

70.696

103.108

103.108

103.108

95.621

70.696

145.773

145.773

125.505

95.621

70.696

(*5) Mn = Mp



j4


Section Index

14 x 14-1/2

12 x 12 10 x 10 8x8

BJ 34

BJ 37

BJ 41

BJ 50

L=3m 827.38 721.46 632.39 518.60 538.50 386.17 406.87 302.09

L=5m 827.38 721.46 632.39 518.60 538.50 386.17 406.87 302.09

L=7m 827.38 721.46 632.39 518.60 538.50 386.17 406.87 302.09

L=9m 827.38 721.46 632.39 518.60 538.50 386.17 406.87 302.09

L=12m 827.38 721.46 632.39 518.60 538.50 386.17 406.87 302.09

L=3m 945.58 824.53 722.73 592.68 615.43 441.34 464.99 345.25

L=5m 945.58 824.53 722.73 592.68 615.43 441.34 464.99 345.25

L=7m 945.58 824.53 722.73 592.68 615.43 441.34 464.99 345.25

L=9m 945.58 824.53 722.73 592.68 615.43 441.34 464.99 345.25

L=12m 945.58 824.53 722.73 592.68 615.43 441.34 464.99 345.25

L=3m 984.97 858.88 752.84 617.38 641.07 459.73 484.37 359.64

L=5m 984.97 858.88 752.84 617.38 641.07 459.73 484.37 359.64

L=7m 984.97 858.88 752.84 617.38 641.07 459.73 484.37 359.64

L=9m 984.97 858.88 752.84 617.38 641.07 459.73 484.37 359.64

L=12m 984.97 858.88 752.84 617.38 641.07 459.73 484.37 359.64

L=3m 1142.57 996.31 873.30 716.16 743.64 533.28 561.87 417.18

L=5m 1142.57 996.31 873.30 716.16 743.64 533.28 561.87 417.18

L=7m 1142.57 996.31 873.30 716.16 743.64 533.28 561.87 417.18

L=9m 1142.57 996.31 873.30 716.16 743.64 533.28 561.87 417.18

L=12m 1142.57 996.31 873.30 716.16 743.64 533.28 561.87 417.18

258.88

258.88

258.88

258.88

258.88

295.86

295.86

295.86

295.86

295.86

308.19

308.19

308.19

308.19

308.19

357.50

357.50

357.50

357.50

357.50

*1 Vn = 0.6 fy Aw


Vn = (0.9 Aw Kn E)/(h/tw)2

j5

Kuat Geser Nominal


Section

Vn (KN) *1


Index

BJ 55

14 x 14-1/2

12 x 12 10 x 10 8x8

BJ 34

BJ 37

L=3m 1615.36 1408.57 1234.66 1012.50 1051.36 753.95 794.36 589.80

L=5m 1615.36 1408.57 1234.66 1012.50 1051.36 753.95 794.36 589.80

L=7m 1615.36 1408.57 1234.66 1012.50 1051.36 753.95 794.36 589.80

L=9m 1615.36 1408.57 1234.66 1012.50 1051.36 753.95 794.36 589.80

L=12m 1615.36 1408.57 1234.66 1012.50 1051.36 753.95 794.36 589.80

L=3m 4629.167 4025.347 3510.386 2874.012 2835.000 2023.490 2117.631 1554.039

L=5m 4234.301 3679.276 3203.069 2620.270 2528.645 1799.233 1835.166 1342.181

L=7m 3837.336 3332.459 2897.143 2366.558 2218.510 1573.826 1551.675 1129.352

L=9m 3441.150 2982.832 2588.621 2112.200 1910.823 1349.425 1270.341 900.444

L=12m 2846.980 2462.508 2128.974 1731.250 1314.050 907.742 716.685 506.415

L=3m 5243.658 4559.764 3976.471 3252.446 3206.089 2286.256 2386.753 1750.046

L=5m 4757.181 4137.489 3602.131 2944.198 2826.846 2011.676 2041.227 1490.881

L=7m 4276.504 3711.182 3224.165 2633.914 2450.618 1736.501 1695.686 1231.681

L=9m 3790.192 3288.323 2850.316 2324.476 2074.877 1462.705 1274.107 900.671

L=12m 3066.590 2649.031 2287.648 1858.021 1313.684 907.620 716.685 506.534

505.43

505.43

505.43

505.43

505.43

1271.150

1046.176

821.739

510.493

287.208

1425.000

1151.192

844.010

510.607

287.181

*1 Vn = 0.6 fy Aw


Vn = (0.9 Aw Kn E)/(h/tw)2

*2 Nn = A . fy / ω

j6



Index

14 x 14-1/2

12 x 12 10 x 10 8x8

BJ 41

BJ 50

BJ 55

L=3m 5446.078 4735.812 4130.010 3378.049 3327.014 2372.521 2474.817 1814.663

L=5m 4929.015 4286.980 3729.038 3050.661 2925.000 2081.607 2106.391 1539.799

L=7m 4415.739 3835.182 3332.019 2719.953 2525.180 1789.530 1741.302 1263.475

L=9m 3903.725 3384.615 2934.028 2389.579 2124.697 1497.318 1274.013 900.565

L=12m 3131.342 2705.422 2315.068 1862.811 1313.992 907.449 716.606 506.514

L=3m 6243.992 5435.044 4735.266 3876.931 3805.234 2713.687 2819.155 2069.203

L=5m 5603.304 4873.611 4239.619 3465.487 3304.870 2348.509 2364.178 1723.565

L=7m 4964.407 4305.521 3741.221 3052.052 2804.132 1984.003 1904.557 1378.235

L=9m 4321.797 3742.933 3241.402 2640.697 2302.941 1613.564 1273.702 900.214

L=12m 3166.486 2710.634 2314.522 1862.725 1313.949 907.591 716.549 506.448

L=3m 8578.343 7460.150 6493.908 5316.948 5176.619 3692.204 3804.378 2785.763

L=5m 7498.107 6506.230 5660.948 4620.423 4337.905 3077.296 3033.607 2206.415

L=7m 6415.634 5558.543 4821.851 3929.758 3495.082 2462.941 2105.511 1488.702

L=9m 5336.965 4612.202 3984.474 3237.457 2335.254 1613.510 1274.050 900.503

L=12m 3167.388 2711.392 2314.489 1862.567 1313.872 907.599 716.589 506.522

1475.410

1185.031

843.924

510.448

287.154

1672.513

1309.307

844.085

510.579

287.166

2218.671

1607.106

844.063

510.587

287.189

*2 Nn = A . fy / ω

j7


Section Index

14 x 14-1/2

12 x 12 10 x 10 8x8

BJ 34

BJ 37

BJ 41

L=3m 4666.200 4065.600 3549.000 2908.500 2922.101 2087.537 2195.455 1613.983

L=5m 4414.570 3842.722 3348.113 2738.701 2670.652 1904.783 1967.158 1441.602

L=7m 4096.752 3560.070 3096.859 2531.332 2422.679 1722.857 1736.878 1267.955

L=9m 3772.191 3278.710 2848.315 2326.800 2169.536 1539.387 1508.372 1095.353

L=12m 3293.013 2853.053 2474.895 2016.990 1794.522 1266.047 1085.523 767.312

L=3m 5332.800 4646.400 4056.000 3324.000 3310.020 2364.706 2482.679 1823.451

L=5m 4983.925 4338.375 3776.536 3089.219 3003.209 2140.195 2202.377 1612.816

L=7m 4593.282 3991.753 3472.603 2838.599 2697.838 1917.329 1921.778 1401.319

L=9m 4199.055 3644.235 3166.276 2584.759 2391.483 1693.820 1642.025 1191.034

L=12m 3610.562 3128.889 2709.419 2207.171 1932.110 1359.639 1085.523 767.038

L=3m 5555.000 4840.000 4225.000 3462.500 3437.806 2456.012 2576.263 1894.011

L=5m 5172.253 4498.141 3919.295 3203.053 3114.463 2217.564 2278.668 1668.760

L=7m 4755.993 4133.219 3592.687 2936.811 2787.927 1981.467 1981.305 1443.841

L=9m 4336.456 3763.608 3270.124 2669.622 2461.431 1743.581 1683.801 1220.147

L=12m 3708.278 3213.811 2783.267 2266.034 1973.019 1374.829 1085.341 767.084

1333.705

1151.885

969.231

773.297

434.943

1503.297

1279.501

1057.051

773.428

435.005

1558.797

1321.484

1085.025

773.318

434.976

*2 Nn = A . fy / ω

j8



Index

14 x 14-1/2

12 x 12 10 x 10 8x8


BJ 50

BJ 55

BJ 34

L=3m 6430.938 5597.607 4876.617 3992.545 3945.349 2815.942 2949.106 2166.167

L=5m 5906.324 5136.688 4471.715 3658.015 3537.446 2519.015 2578.043 1885.237

L=7m 5383.292 4678.667 4067.220 3322.167 3132.000 2223.112 2204.571 1605.069

L=9m 4863.245 4218.182 3662.930 2988.467 2723.478 1926.305 1833.275 1325.287

L=12m 4078.354 3531.069 3053.583 2485.458 1989.786 1374.764 1085.680 767.237

L=3m 8879.337 7721.401 6733.722 5507.759 5415.240 3861.762 4021.869 2949.188

L=5m 7998.420 6956.705 6051.528 4946.429 4729.992 3366.422 3396.245 2479.287

L=7m 7122.909 6186.750 5371.318 4384.942 4048.101 2867.432 2770.063 2007.187

L=9m 6248.422 5410.770 4691.266 3821.332 3364.348 2369.465 1930.147 1363.672

L=12m 4797.999 4107.426 3506.135 2821.615 1990.112 1374.646 1085.634 767.291

L=3m 4478.119 3897.987 3396.172 2777.937 2719.926 1939.798 2010.717 1474.626

L=5m 3984.799 3463.032 3012.733 2460.660 2334.442 1659.198 1658.218 1208.448

L=7m 3490.052 3027.252 2626.943 2143.331 1948.711 1377.611 1305.405 942.399

L=9m 2994.994 2592.857 2244.782 1825.800 1494.753 1032.661 815.483 576.393

L=12m 2026.580 1734.656 1481.064 1192.008 840.898 580.805 458.606 324.125

1775.828

1479.195

1184.239

773.333

435.000

2390.793

1894.865

1278.359

773.361

435.044

1186.127

905.675

540.000

326.733

183.800

*2 Nn = A . fy / ω

j9



Index

14 x 14-1/2

12 x 12 10 x 10 8x8

BJ 37

BJ 41

BJ 50

L=3m 5059.583 4400.000 3833.648 3138.810 3063.273 2182.805 2256.000 1653.241

L=5m 4455.138 3872.000 3365.975 2749.380 2592.000 1841.221 1825.757 1329.256

L=7m 3853.179 3340.331 2897.143 2362.473 2121.914 1497.207 1347.740 952.827

L=9m 3247.747 2809.190 2428.743 1975.045 1495.108 1032.424 815.208 576.362

L=12m 2026.717 1735.350 1480.968 1192.466 840.823 580.855 458.678 324.135

L=3m 5250.473 4570.349 3978.343 3257.291 3176.471 2263.514 2335.782 1711.770

L=5m 4609.959 4003.309 3483.100 2845.111 2675.305 1899.093 1878.040 1366.598

L=7m 3967.857 3439.943 2983.757 2431.531 2174.721 1533.883 1347.880 952.779

L=9m 3324.357 2875.817 2483.833 2020.128 1495.208 1032.888 815.234 576.283

L=12m 2026.448 1734.767 1481.157 1192.424 840.719 580.925 458.634 324.181

L=3m 6005.405 5222.698 4550.604 3722.428 3615.986 2576.923 2647.720 1939.010

L=5m 5200.807 4520.451 3927.083 3208.067 2991.624 2121.179 2077.469 1508.681

L=7m 4401.503 3811.541 3304.788 2692.024 2365.834 1664.477 1347.620 952.622

L=9m 3599.888 3084.835 2633.177 2119.525 1494.851 1032.595 815.319 576.204

L=12m 2026.352 1734.847 1481.224 1192.282 840.805 580.867 458.654 324.165

1322.804

980.060

540.222

326.768

183.778

1366.906

1002.345

540.071

326.726

183.797

1536.483

1058.626

540.123

326.720

183.794

*2 Nn = A . fy / ω

j 10



Section



Index

BJ 55

14 x 14-1/2

12 x 12 10 x 10 8x8

kc = 0.8 ( jepit - sendi )

kc = 0.65 ( jepit - jepit )

L=3m 8170.583 7106.177 6181.088 5056.545 4861.824 3459.698 3514.750 2568.947

L=5m 6819.012 5919.165 5136.397 4190.775 3812.185 2693.137 2551.583 1845.116

L=7m 5471.592 4730.393 4090.319 3322.703 2470.558 1707.095 1347.655 952.682

L=9m 3602.650 3084.060 2633.349 2119.832 1494.684 1032.707 815.286 576.314

L=12m 2026.741 1734.995 1481.347 1192.336 840.811 580.863 458.631 324.136

L=3m 175004.70 150474.38 129615.56 104808.05 80688.92 56251.62 41938.82 30054.99

L=5m 63001.69 54170.78 46661.60 37730.90 29048.01 20250.58 15097.98 10819.80

L=7m 32143.72 27638.15 23806.94 19250.46 14820.41 10331.93 7703.05 5520.30

L=9m 19444.97 16719.38 14401.73 11645.34 8965.44 6250.18 4659.87 3339.44

L=12m 10937.79 9404.65 8100.97 6550.50 5043.06 3515.73 2621.18 1878.44

L=3m 265095.88 227937.52 196340.73 158762.49 122227.00 85209.55 63528.63 45527.08

L=5m 95434.52 82057.51 70682.66 57154.50 44001.72 30675.44 22870.31 16389.75

L=7m 48691.08 41866.07 36062.58 29160.46 22449.86 15650.73 11668.52 8362.12

L=9m 29455.10 25326.39 21815.64 17640.28 13580.78 9467.73 7058.74 5058.56

L=12m 16568.49 14246.09 12271.30 9922.66 7639.19 5325.60 3970.54 2845.44

1990.348

1058.764

540.087

326.758

183.790

17055.38

6139.94

3132.62

1895.04

1065.96

25835.37

9300.73

4745.27

2870.60

1614.71

*2 Nn = A . fy / ω

*3 Ncrb = π2. E . A/( Kc.L / rx )2

j 11


12 x 12 10 x 10 8x8

4


Index

14 x 14-1/2



Parameter

Konstanta

Konstanta

Øb Ny ( KN )

Puntir

Puntir

Torsi (J)

Lengkung (Iw)

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

L=3m 112003.01 96303.60 82953.96 67077.15 51640.91 36001.04 26840.84 19235.19

L=5m 40321.08 34669.30 29863.43 24147.78 18590.73 12960.37 9662.70 6924.67

L=7m 20571.98 17688.42 15236.44 12320.29 9485.06 6612.44 4929.95 3532.99

L=9m 12444.78 10700.40 9217.11 7453.02 5737.88 4000.12 2982.32 2137.24

L=12m 7000.19 6018.98 5184.62 4192.32 3227.56 2250.06 1677.55 1202.20

4666.20 4065.60 3549.00 2908.50 2948.40 2110.50 2270.10 1673.70

5332.80 4646.40 4056.00 3324.00 3369.60 2412.00 2594.40 1912.80

5555.00 4840.00 4225.00 3462.50 3510.00 2512.50 2702.50 1992.50

6443.80 5614.40 4901.00 4016.50 4071.60 2914.50 3134.90 2311.30

9110.20 7937.60 6929.00 5678.50 5756.40 4120.50 4432.10 3267.70

4199.58 3659.04 3194.10 2617.65 2653.56 1899.45 2043.09 1506.33

4799.52 4181.76 3650.40 2991.60 3032.64 2170.80 2334.96 1721.52

4999.50 4356.00 3802.50 3116.25 3159.00 2261.25 2432.25 1793.25

5799.42 5052.96 4410.90 3614.85 3664.44 2623.05 2821.41 2080.17

10915.44

3929.56

2004.88

1212.83

682.22

1436.40

1641.60

1710.00

1983.60

2804.40

1292.76

1477.44

1539.00

1785.24

*3 Ncrb = π2. E . A/( Kc.L / rx )2

4

8199.18 7143.84 6236.10 5110.65 5180.76 3708.45 3988.89 2940.93

mm 2155164.76 1432844.73 953148.57 523383.28 757745.83 276740.70 510059.29 204419.47

mm6x(1011) 16.34 13.77 11.61 9.13 4.66 3.09 1.77 1.20

2523.96

200709.91

0.45

*4 Ny = A . fy

j 12

Profil yang ada di pasaran Indonesia

Section

600 x 190 450 x 175 400 x 50 350 x 50 300 x 150 250 x 125 200 x 150 200 x 100 200 x 90 180 x 100 150 x 125 150 x 75 140 x 66 125 x 75 100 x 75 100 x 50

Corner Sectional

Radius

Modulus

Centre

Modulus

of Gyration

of Section


of Plastis


d

B

t1

t2

r

A

Ix

Iy

rx

ry

Sx

Sy

Cx

Cy

Zx

Zy

kg/m 176 133 115 91.7 95.8 72.0 87.2 58.5 76.8 65.5 48.3 55.5 38.3 50.4 26.0 26.2 23.6 36.2 17.1 14.3 16.1 12.9 8.3

mm 600 600 450 450 400 400 350 350 300 300 300 250 250 250 200 200 180 150 150 140 125 100 100

mm 190 190 175 175 50 50 50 50 150 150 150 125 125 150 100 90 100 125 75 66 75 75 50

mm 16.0 13.0 13.0 11.0 12.5 10.0 12.0 9.0 11.5 10.0 8.0 10.0 7.5 9.0 7.0 7.5 6.0 8.5 5.5 5.6 5.5 5.0 4.5

mm 35.0 25.0 26.0 20.0 25.0 18.0 24.0 15.0 22.0 18.5 13.0 19.0 12.5 16.0 10.0 11.3 10.0 14.0 9.5 8.6 9.5 8.0 6.8

mm 38.0 25.0 27.0 19.0 27.0 17.0 25.0 13.0 23.0 19.0 12.0 21.0 12.0 15.0 10.0 7.5 10.0 13.0 9.0 5.7 9.0 7.0 4.5

cm2

cm4

cm4

cm3

4330.0 3280.0 2170.0 2170.0 1580.0 1200.0 1280.0 870.0 978.0 849.0 632.0 585.0 414.0 446.0 217.0 214.0 186.0 235.0 109.0 81.9 86.0 56.2 34.2

373.00 259.00 231.00 231.00 165.00 115.00 158.00 93.50 143.00 118.00 78.40 86.00 53.90 100.00 27.70 26.00 27.50 61.60 15.30 10.70 15.30 12.60 4.88

mm 29.81 27.99 28.38 27.21 7.01 5.94 7.18 5.81 26.10 25.63 24.37 21.72 20.59 26.73 15.75 14.22 17.04 24.05 12.66 10.70 13.41 13.96 8.28

mm3

3540.0 2460.0 2020.0 1510.0 1240.0 864.0 1180.0 702.0 1080.0 886.0 588.0 538.0 337.0 753.0 138.0 117.0 138.0 385.0 57.5 35.2 57.5 47.3 12.2

mm 74.16 75.47 52.87 53.30 72.37 73.55 61.77 63.52 33.82 32.98 33.13 28.52 27.84 25.95 24.01 25.25 19.39 15.61 17.16 17.39 13.75 10.46 12.42

mm3

130000 98400 48800 39200 24100 24100 22400 15200 14700 12700 9480 7310 5180 4460 2170 2140 1670 1760 819 573 538 281 171

mm 39.70 38.10 37.20 37.20 31.80 30.70 32.60 30.70 33.20 32.60 30.90 27.60 26.30 34.30 20.50 18.70 21.40 28.90 16.20 14.00 16.80 17.00 10.70

cm3

224.50 169.40 146.10 116.80 122.10 91.73 111.10 74.58 97.88 83.47 61.58 70.73 48.79 64.16 33.06 33.40 30.06 46.15 21.83 18.20 20.45 16.43 10.60

mm 241.00 241.00 183.00 183.00 162.00 162.00 142.00 143.00 122.00 123.00 124.00 102.00 103.00 83.40 74.50 8.00 74.50 61.80 61.20 53.10 51.30 41.40 40.10

5070108.00 3803538.20 2514819.30 2005456.00 1558362.30 1159925.85 1257985.30 831417.84 1137169.84 976765.94 719685.46 682403.04 474043.64 635504.80 251222.94 249665.00 212253.66 274084.85 126264.72 95750.20 99693.75 64964.22 39834.80

669234.50 474150.60 414631.80 317812.80 85592.10 54487.62 79769.80 43330.98 255466.80 213933.61 150070.46 153625.56 100458.61 171499.68 52069.50 47494.80 51222.24 110990.75 27636.78 19474.00 27423.45 22936.28 8776.80

K = Kompak

Flange

Inersia

Flange

Section

Index

Web

Momen

Depth of Weight

Radius

NK = Non Kompak

Area

Cek kekompakan (Sayap) BJ 34 BJ 37 BJ 41 BJ 50 BJ 55 K K K K K K K K K K K K K K K K K K K K K K K

K K K K K K K K K K K K K K K K K K K K K K K




S = Slender

k1

Section Index








BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

mm 2156.297 2069.393 2020.510 2020.510 1727.210 1667.464 1770.662 1667.464 1803.251 1770.662 1678.327 1499.088 1428.479 1862.997 1113.453 1015.686 1162.336 1569.697 879.899 760.407 912.488 923.351 581.168

mm 2017.031 1935.740 1890.014 1890.014 1615.657 1559.769 1656.302 1559.769 1686.787 1656.302 1569.931 1402.268 1336.219 1742.674 1041.540 950.088 1087.266 1468.317 823.071 711.296 853.555 863.716 543.633

mm 1976.279 1896.630 1851.828 1851.828 1583.014 1528.256 1622.838 1528.256 1652.707 1622.838 1538.212 1373.937 1309.222 1707.465 1020.497 930.892 1065.299 1438.651 806.441 696.924 836.309 846.265 532.649

mm 1834.929 1760.977 1719.379 1719.379 1469.792 1418.950 1506.768 1418.950 1534.499 1506.768 1428.194 1275.668 1215.582 1585.341 947.507 864.311 989.105 1335.754 748.762 647.078 776.494 785.738 494.553

mm 1543.214 1481.019 1446.035 1446.035 1236.126 1193.367 1267.224 1193.367 1290.547 1267.224 1201.142 1072.864 1022.331 1333.306 796.874 726.904 831.859 1123.398 629.725 544.207 653.048 660.822 415.929

mm 9491.620 6938.766 8804.985 5922.841 5277.734 4287.187 5768.276 4193.709 10001.532 8197.769 5757.306 8637.505 5475.341 11381.653 4290.035 4414.402 4864.866 11403.419 4206.312 3578.619 5265.113 5630.913 3024.595

mm 7953.696 5956.873 7380.545 5098.030 4537.599 3773.186 4921.226 3700.685 8297.214 6846.738 4923.958 7158.807 4631.757 9443.477 3629.173 3701.649 4086.561 9415.473 3508.220 2987.596 4363.272 4660.684 2514.257

mm 7557.989 5703.062 7014.054 4884.514 4346.127 3637.531 4702.870 3570.162 7857.303 6498.878 4708.929 6776.954 4414.737 8943.238 3459.159 3518.276 3886.362 8900.996 3328.406 2835.403 4130.370 4409.957 2382.649

mm 6344.397 4918.289 5890.075 4223.174 3753.529 3208.861 4030.130 3156.495 6504.734 5431.670 4045.574 5602.306 3748.347 7405.285 2937.106 2955.900 3272.359 7314.397 2776.600 2368.455 3413.881 3638.069 1978.362

mm 4449.582 3652.302 4134.864 3150.994 2794.890 2479.103 2956.749 2447.684 4390.733 3767.555 2982.728 3764.424 2698.410 5001.868 2114.549 2077.485 2312.092 4814.737 1916.275 1640.384 2292.691 2428.041 1347.470

KNm 1064.723 798.743 528.112 421.146 327.256 243.584 264.177 174.598 238.806 205.121 151.134 143.305 99.549 133.456 52.757 52.430 44.573 57.558 26.516 20.108 20.936 13.642 8.365

KNm 1216.826 912.849 603.557 481.309 374.007 278.382 301.916 199.540 272.921 234.424 172.725 163.777 113.770 152.521 60.294 59.920 50.941 65.780 30.304 22.980 23.927 15.591 9.560

KNm 1267.527 950.885 628.705 501.364 389.591 289.981 314.496 207.854 284.292 244.191 179.921 170.601 118.511 158.876 62.806 62.416 53.063 68.521 31.566 23.938 24.923 16.241 9.959

KNm 1470.331 1103.026 729.298 581.582 451.925 336.378 364.816 241.111 329.779 283.262 208.709 197.897 137.473 184.296 72.855 72.403 61.554 79.485 36.617 27.768 28.911 18.840 11.552

KNm 2078.744 1559.451 1031.076 822.237 638.929 475.570 515.774 340.881 466.240 400.474 295.071 279.785 194.358 260.557 103.001 102.363 87.024 112.375 51.769 39.258 40.874 26.635 16.332

(*1) Lp = 1,76.ry.√(E/fy)

(*2) Lr = ry (x1/fL) √ (1+(√(1+x2.fL2))

(*3) Mn = Mp


Mn = Mr ( λr/λ )2

k2

Cb = 1,14 ( Beban Terbagi Merata ) Section Index




pada Sumbu y Mny (KNm) (*4)

Mn (KNm) (*5)

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

KNm 140.539 99.572 87.073 66.741 17.974 11.442 16.752 9.100 53.648 44.926 31.515 32.261 21.096 36.015 10.935 9.974 10.757 23.308 5.804 4.090 5.759 4.817 1.843

KNm 160.616 113.796 99.512 76.275 20.542 13.077 19.145 10.399 61.312 51.344 36.017 36.870 24.110 41.160 12.497 11.399 12.293 26.638 6.633 4.674 6.582 5.505 2.106

KNm 167.309 118.538 103.658 79.453 21.398 13.622 19.942 10.833 63.867 53.483 37.518 38.406 25.115 42.875 13.017 11.874 12.806 27.748 6.909 4.869 6.856 5.734 2.194

KNm 194.078 137.504 120.243 92.166 24.822 15.801 23.133 12.566 74.085 62.041 43.520 44.551 29.133 49.735 15.100 13.773 14.854 32.187 8.015 5.647 7.953 6.652 2.545

KNm 274.386 194.402 169.999 130.303 35.093 22.340 32.706 17.766 104.741 87.713 61.529 62.986 41.188 70.315 21.348 19.473 21.001 45.506 11.331 7.984 11.244 9.404 3.598

(*4) Mn = Mp


BJ 34 L=3m 1064.723 798.743 528.112 421.146 327.256 233.857 264.177 167.293 238.806 205.121 149.149 143.305 95.075 133.456 44.993 44.814 40.327 57.558 22.050 15.094 19.003 12.649 5.499

L=5m 1011.141 677.606 489.747 377.968 261.626 153.162 222.906 106.982 226.948 184.428 114.128 129.036 71.643 125.459 29.057 29.891 28.847 55.810 14.536 9.146 14.343 9.852 3.266

Mn = Mr ( λr/λ )2

L=7m 868.621 517.936 414.364 270.561 179.810 97.734 162.906 67.818 198.613 153.827 80.041 109.424 50.233 108.449 20.212 20.985 20.133 50.093 10.275 6.479 10.242 7.173 2.324

BJ 37 L=9m 726.101 383.279 338.047 202.226 135.263 71.950 123.103 49.736 170.278 122.649 60.312 89.438 38.373 91.438 15.543 16.203 15.506 44.376 7.957 5.022 7.941 5.563 1.804

(*5) Mn = Mp

L=12m 538.144 277.197 248.966 147.400 99.075 51.819 90.472 35.708 129.513 90.871 44.231 66.696 28.423 67.316 11.567 12.092 11.551 35.601 5.950 3.758 5.943 4.164 1.352

L=3m 1216.826 912.849 603.557 481.309 369.437 262.181 301.916 187.873 272.921 234.424 165.173 163.777 104.725 152.521 48.542 48.316 44.026 65.780 23.665 15.687 20.788 13.902 5.520

L=5m 1111.817 732.034 536.530 424.462 270.756 153.162 243.104 106.982 250.186 201.079 120.128 140.874 73.289 136.889 29.057 29.891 28.847 61.904 14.536 9.146 14.447 10.111 3.266

L=7m 927.192 517.936 439.087 270.561 179.810 97.734 162.906 67.818 213.398 160.507 80.041 115.396 50.233 114.179 20.212 20.985 20.133 54.493 10.275 6.479 10.242 7.173 2.324


L=9m 732.410 383.279 338.047 202.226 135.263 71.950 123.103 49.736 174.217 122.649 60.312 89.438 38.373 91.470 15.543 16.203 15.506 47.082 7.957 5.022 7.941 5.563 1.804

L=12m 538.144 277.197 248.966 147.400 99.075 51.819 90.472 35.708 129.513 90.871 44.231 66.696 28.423 67.316 11.567 12.092 11.551 35.601 5.950 3.758 5.943 4.164 1.352

Mn = Mcr ≤ Mp


k3


Section Index


BJ 41 L=3m 1267.527 950.885 628.705 501.364 382.637 271.732 314.496 194.839 284.292 244.191 170.338 170.601 107.799 158.876 49.625 49.370 45.182 68.521 24.140 15.687 21.341 14.295 5.520

L=5m 1143.533 748.960 551.187 412.496 270.756 153.162 243.104 106.982 257.517 206.234 120.128 144.525 73.289 140.348 29.057 29.891 28.847 63.848 14.536 9.146 14.447 10.111 3.266

(*5) Mn = Mp

L=7m 944.144 517.936 446.023 270.561 179.810 97.734 162.906 67.818 217.737 160.507 80.041 115.964 50.233 115.582 20.212 20.985 20.133 55.837 10.275 6.479 10.242 7.173 2.324

BJ 50 L=9m 732.410 383.279 338.047 202.226 135.263 71.950 123.103 49.736 174.217 122.649 60.312 89.438 38.373 90.795 15.543 16.203 15.506 47.654 7.957 5.022 7.941 5.563 1.804

L=12m 538.144 277.197 248.966 147.400 99.075 51.819 90.472 35.708 129.513 90.871 44.231 66.696 28.423 67.316 11.567 12.092 11.551 35.601 5.950 3.758 5.943 4.164 1.352

L=3m 1470.331 1086.811 729.298 581.582 435.506 310.588 359.752 223.300 329.779 281.073 190.233 194.164 119.458 184.296 52.776 52.800 49.455 79.485 25.124 15.687 23.356 15.746 5.520


L=5m 1261.923 804.271 605.520 412.496 270.756 153.162 243.104 106.982 284.841 225.026 120.128 157.699 73.289 152.458 29.057 29.891 28.847 71.200 14.536 9.146 14.447 10.111 3.266

L=7m 969.535 517.936 446.070 270.561 179.810 97.734 162.906 67.818 226.902 160.507 80.041 115.964 50.233 118.698 20.212 20.985 20.133 60.604 10.275 6.479 10.242 7.173 2.324

BJ 55 L=9m 732.410 383.279 338.047 202.226 135.263 71.950 123.103 49.736 174.217 122.649 60.312 89.438 38.373 90.795 15.543 16.203 15.506 47.654 7.957 5.022 7.941 5.563 1.804

L=12m 538.144 277.197 248.966 147.400 99.075 51.819 90.472 35.708 129.513 90.871 44.231 66.696 28.423 67.316 11.567 12.092 11.551 35.601 5.950 3.758 5.943 4.164 1.352

L=3m 2023.181 1423.476 982.203 822.237 551.223 336.034 485.376 237.267 447.457 368.203 242.857 252.934 138.599 240.624 52.776 52.800 51.879 109.286 25.124 15.687 24.722 17.262 5.520

L=5m 1447.768 804.271 661.795 412.496 270.756 153.162 243.104 106.982 327.349 234.009 120.128 165.609 73.289 172.933 29.057 29.891 28.847 87.467 14.536 9.146 14.447 10.111 3.266

L=7m 969.535 517.936 446.070 270.561 179.810 97.734 162.906 67.818 226.902 160.507 80.041 115.964 50.233 118.706 20.212 20.985 20.133 61.624 10.275 6.479 10.242 7.173 2.324

L=9m 732.410 383.279 338.047 202.226 135.263 71.950 123.103 49.736 174.217 122.649 60.312 89.438 38.373 90.795 15.543 16.203 15.506 47.654 7.957 5.022 7.941 5.563 1.804

L=12m 538.144 277.197 248.966 147.400 99.075 51.819 90.472 35.708 129.513 90.871 44.231 66.696 28.423 67.316 11.567 12.092 11.551 35.601 5.950 3.758 5.943 4.164 1.352


k4


Section Index


BJ 34 L=3m L=5m 1068.48 1068.48 900.90 900.90 651.92 651.92 568.26 568.26 551.25 551.25 458.64 458.64 456.62 456.62 362.88 362.88 370.94 370.94 331.38 331.38 276.19 276.19 267.12 267.12 212.63 212.63 247.21 247.21 158.76 158.76 167.64 167.64 120.96 120.96 130.66 130.66 90.78 90.78 86.65 86.65 73.46 73.46 52.92 52.92 48.99 48.99 *1 Vn = 0.6 fy Aw

L=7m 1068.48 900.90 651.92 568.26 551.25 458.64 456.62 362.88 370.94 331.38 276.19 267.12 212.63 247.21 158.76 167.64 120.96 130.66 90.78 86.65 73.46 52.92 48.99

BJ 37

BJ 41

L=9m L=12m L=3m L=5m L=7m L=9m L=12m L=3m L=5m L=7m L=9m L=12m 1068.48 1068.48 1221.12 1221.12 1221.12 1221.12 1221.12 1272.00 1272.00 1272.00 1272.00 1272.00 900.90 900.90 1029.60 1029.60 1029.60 1029.60 1029.60 1072.50 1072.50 1072.50 1072.50 1072.50 651.92 651.92 745.06 745.06 745.06 745.06 745.06 776.10 776.10 776.10 776.10 776.10 568.26 568.26 649.44 649.44 649.44 649.44 649.44 676.50 676.50 676.50 676.50 676.50 551.25 551.25 630.00 630.00 630.00 630.00 630.00 656.25 656.25 656.25 656.25 656.25 458.64 458.64 524.16 524.16 524.16 524.16 524.16 546.00 546.00 546.00 546.00 546.00 456.62 456.62 521.86 521.86 521.86 521.86 521.86 543.60 543.60 543.60 543.60 543.60 362.88 362.88 414.72 414.72 414.72 414.72 414.72 432.00 432.00 432.00 432.00 432.00 370.94 370.94 423.94 423.94 423.94 423.94 423.94 441.60 441.60 441.60 441.60 441.60 331.38 331.38 378.72 378.72 378.72 378.72 378.72 394.50 394.50 394.50 394.50 394.50 276.19 276.19 315.65 315.65 315.65 315.65 315.65 328.80 328.80 328.80 328.80 328.80 267.12 267.12 305.28 305.28 305.28 305.28 305.28 318.00 318.00 318.00 318.00 318.00 212.63 212.63 243.00 243.00 243.00 243.00 243.00 253.13 253.13 253.13 253.13 253.13 247.21 247.21 282.53 282.53 282.53 282.53 282.53 294.30 294.30 294.30 294.30 294.30 158.76 158.76 181.44 181.44 181.44 181.44 181.44 189.00 189.00 189.00 189.00 189.00 167.64 167.64 191.59 191.59 191.59 191.59 191.59 199.58 199.58 199.58 199.58 199.58 120.96 120.96 138.24 138.24 138.24 138.24 138.24 144.00 144.00 144.00 144.00 144.00 130.66 130.66 149.33 149.33 149.33 149.33 149.33 155.55 155.55 155.55 155.55 155.55 90.78 90.78 103.75 103.75 103.75 103.75 103.75 108.08 108.08 108.08 108.08 108.08 86.65 86.65 99.03 99.03 99.03 99.03 99.03 103.15 103.15 103.15 103.15 103.15 73.46 73.46 83.95 83.95 83.95 83.95 83.95 87.45 87.45 87.45 87.45 87.45 52.92 52.92 60.48 60.48 60.48 60.48 60.48 63.00 63.00 63.00 63.00 63.00 48.99 48.99 55.99 55.99 55.99 55.99 55.99 58.32 58.32 58.32 58.32 58.32


BJ 50 L=3m 1475.52 1244.10 900.28 784.74 761.25 633.36 630.58 501.12 512.26 457.62 381.41 368.88 293.63 341.39 219.24 231.51 167.04 180.44 125.37 119.66 101.44 73.08 67.65

L=5m 1475.52 1244.10 900.28 784.74 761.25 633.36 630.58 501.12 512.26 457.62 381.41 368.88 293.63 341.39 219.24 231.51 167.04 180.44 125.37 119.66 101.44 73.08 67.65

L=7m 1475.52 1244.10 900.28 784.74 761.25 633.36 630.58 501.12 512.26 457.62 381.41 368.88 293.63 341.39 219.24 231.51 167.04 180.44 125.37 119.66 101.44 73.08 67.65

L=9m 1475.52 1244.10 900.28 784.74 761.25 633.36 630.58 501.12 512.26 457.62 381.41 368.88 293.63 341.39 219.24 231.51 167.04 180.44 125.37 119.66 101.44 73.08 67.65

L=12m 1475.52 1244.10 900.28 784.74 761.25 633.36 630.58 501.12 512.26 457.62 381.41 368.88 293.63 341.39 219.24 231.51 167.04 180.44 125.37 119.66 101.44 73.08 67.65

Vn = (0.9 Aw Kn E)/(h/tw)2

k5


Kuat Geser Nominal 1

Section Index



Vn (KN) * BJ 55 L=3m 2086.08 1758.90 1272.80 1109.46 1076.25 895.44 891.50 708.48 724.22 646.98 539.23 521.52 415.13 482.65 309.96 327.30 236.16 255.10 177.24 169.17 143.42 103.32 95.64

L=5m 2086.08 1758.90 1272.80 1109.46 1076.25 895.44 891.50 708.48 724.22 646.98 539.23 521.52 415.13 482.65 309.96 327.30 236.16 255.10 177.24 169.17 143.42 103.32 95.64

*1 Vn = 0.6 fy Aw

L=7m 2086.08 1758.90 1272.80 1109.46 1076.25 895.44 891.50 708.48 724.22 646.98 539.23 521.52 415.13 482.65 309.96 327.30 236.16 255.10 177.24 169.17 143.42 103.32 95.64

BJ 34 L=9m 2086.08 1758.90 1272.80 1109.46 1076.25 895.44 891.50 708.48 724.22 646.98 539.23 521.52 415.13 482.65 309.96 327.30 236.16 255.10 177.24 169.17 143.42 103.32 95.64

L=12m 2086.08 1758.90 1272.80 1109.46 1076.25 895.44 891.50 708.48 724.22 646.98 539.23 521.52 415.13 482.65 309.96 327.30 236.16 255.10 177.24 169.17 143.42 103.32 95.64


L=3m 3896.281 2896.906 2476.271 1979.661 1933.710 1427.969 1780.992 1160.993 1581.138 1338.069 961.472 1037.966 694.637 1051.803 380.938 320.274 364.048 695.230 157.064 97.812 158.250 130.200 33.274

L=5m 2980.088 2175.780 1838.286 1469.623 1218.824 853.302 1165.094 693.767 1065.016 875.341 580.227 531.662 333.065 744.912 137.138 115.267 135.864 380.432 56.544 35.206 56.966 46.863 11.977

L=7m 1781.578 1238.433 1018.034 813.870 621.788 435.329 594.610 353.939 543.239 446.733 296.092 271.293 169.951 380.073 69.959 58.811 69.322 194.073 28.848 17.963 29.064 23.911 6.111

BJ 37 L=9m 1077.908 749.123 615.930 492.407 376.106 263.340 359.699 214.105 328.614 270.244 179.111 164.125 102.806 229.925 42.323 35.579 41.934 117.419 17.452 10.866 17.581 14.464 3.697

Vn = (0.9 Aw Kn E)/(h/tw)2

L=12m 606.269 421.368 346.433 276.957 211.559 148.136 202.307 120.441 184.866 151.994 100.744 92.321 57.825 129.336 23.806 20.013 23.589 66.047 9.816 6.112 9.890 8.136 2.079

L=3m 4345.161 3224.108 2754.438 2202.042 2135.860 1573.638 1969.276 1279.428 1751.767 1479.527 1060.962 1136.225 758.394 1165.662 381.004 320.160 377.470 763.862 157.039 97.800 158.259 130.192 33.271

L=5m 3224.417 2343.285 1974.324 1578.378 1218.462 853.302 1165.639 693.767 1064.757 875.751 580.430 531.721 333.132 744.784 137.125 115.276 135.864 380.455 56.541 35.208 56.962 46.866 11.977

L=7m 1781.893 1238.097 1018.192 813.996 621.671 435.298 594.515 353.914 543.306 446.662 296.102 271.332 169.951 380.090 69.961 58.811 69.319 194.103 28.848 17.962 29.065 23.911 6.111

L=9m 1077.869 749.074 615.833 492.329 376.114 263.340 359.656 214.105 328.663 270.211 179.115 164.131 102.806 229.956 42.322 35.577 41.935 117.408 17.452 10.866 17.582 14.464 3.697

L=12m 606.245 421.360 346.439 276.962 211.562 148.138 202.307 120.442 184.861 151.994 100.744 92.319 57.825 129.344 23.806 20.012 23.588 66.047 9.817 6.112 9.890 8.136 2.079

*2 Nn = A . fy / ω

k6



Index


BJ 41 L=3m 4490.000 3332.022 2844.626 2274.143 2200.793 1620.671 2028.853 1317.668 1804.572 1524.288 1091.844 1167.162 777.902 1203.301 380.876 320.230 377.401 785.398 157.050 97.797 158.221 130.190 33.271

L=5m 3297.591 2392.655 1995.902 1595.628 1218.563 853.302 1165.181 693.767 1065.071 875.406 580.396 531.805 333.038 745.180 137.122 115.272 135.864 380.462 56.547 35.206 56.964 46.863 11.977

L=7m 1781.746 1238.304 1018.118 813.937 621.690 435.358 594.595 353.963 543.325 446.722 296.058 271.308 169.941 380.095 69.961 58.813 69.319 194.111 28.849 17.963 29.065 23.910 6.111

BJ 50 L=9m 1077.772 749.060 615.936 492.411 376.097 263.365 359.663 214.126 328.622 270.217 179.116 164.126 102.802 229.923 42.322 35.577 41.933 117.415 17.451 10.866 17.582 14.464 3.697

L=12m 606.265 421.341 346.414 276.941 211.575 148.143 202.313 120.446 184.854 151.999 100.744 92.319 57.825 129.342 23.806 20.013 23.588 66.047 9.817 6.112 9.890 8.136 2.079

L=3m 5046.899 3738.661 3188.036 2548.683 2443.685 1794.987 2257.814 1459.393 2010.283 1696.307 1210.725 1281.981 849.796 1342.453 380.830 320.198 377.377 866.246 157.089 97.786 158.252 130.183 33.273

L=5m 3493.226 2427.474 1995.009 1594.915 1218.374 853.302 1165.244 693.767 1064.611 875.454 580.283 531.736 333.116 745.001 137.134 115.275 135.864 380.483 56.543 35.207 56.962 46.862 11.977

L=7m 1781.868 1238.210 1018.180 813.986 621.756 435.380 594.584 353.980 543.257 446.714 296.095 271.319 169.934 380.110 69.962 58.814 69.323 194.104 28.848 17.962 29.064 23.910 6.111

BJ 55 L=9m 1077.897 749.015 615.828 492.326 376.141 263.351 359.687 214.114 328.627 270.235 179.097 164.126 102.800 229.922 42.321 35.578 41.933 117.412 17.452 10.866 17.582 14.464 3.697

L=12m 606.262 421.366 346.435 276.958 211.571 148.137 202.317 120.441 184.860 152.002 100.744 92.322 57.825 129.335 23.806 20.013 23.588 66.047 9.817 6.112 9.890 8.136 2.079

L=3m 6541.933 4816.505 4091.598 3271.038 3048.782 2222.772 2832.774 1807.199 2530.315 2128.277 1501.058 1476.731 925.036 1700.427 380.881 320.234 377.476 1055.887 157.057 97.798 158.235 130.170 33.271

L=5m 3491.513 2427.401 1995.037 1594.938 1218.771 853.302 1165.360 693.767 1064.831 875.541 580.242 531.731 333.051 744.937 137.123 115.269 135.864 380.427 56.545 35.206 56.965 46.865 11.978

L=7m 1781.660 1238.315 1018.075 813.903 621.779 435.356 594.564 353.961 543.226 446.699 296.075 271.307 169.939 380.070 69.959 58.814 69.322 194.092 28.849 17.963 29.064 23.910 6.111

L=9m 1077.810 749.032 615.869 492.358 376.116 263.347 359.660 214.112 328.638 270.215 179.110 164.128 102.802 229.944 42.322 35.578 41.935 117.415 17.452 10.866 17.582 14.464 3.697

L=12m 606.257 421.348 346.424 276.949 211.563 148.141 202.314 120.444 184.860 152.000 100.749 92.321 57.825 129.337 23.806 20.013 23.588 66.047 9.817 6.112 9.890 8.136 2.079

*2 Nn = A . fy / ω

k7


Section Index


BJ 34 L=3m 4153.744 3101.482 2654.066 2121.799 2110.370 1563.580 1936.183 1271.250 1715.760 1454.664 1052.221 1155.000 779.156 1137.973 457.653 431.100 428.263 768.557 237.991 148.140 239.648 194.822 50.405

L=5m 3411.360 2514.064 2138.049 1709.268 1602.563 1169.599 1486.998 950.929 1326.972 1117.189 789.487 805.603 504.414 890.522 207.707 174.641 205.790 557.624 85.648 53.333 86.300 70.994 18.144

L=7m 2663.559 1876.018 1541.759 1232.563 941.818 659.420 900.811 536.134 823.015 676.784 448.437 411.022 257.435 575.795 105.974 89.095 105.013 294.016 43.702 27.210 44.024 36.219 9.257

BJ 37 L=9m 1632.727 1134.737 932.908 745.815 569.800 398.929 544.799 324.345 497.846 409.310 271.320 248.591 155.713 348.268 64.105 53.892 63.523 177.866 26.436 16.460 26.633 21.910 5.600

L=12m 918.335 638.242 524.798 419.551 320.462 224.383 306.483 182.432 280.038 230.262 152.610 139.845 87.591 195.908 36.061 30.314 35.730 100.041 14.870 9.259 14.981 12.324 3.150

L=3m 4660.900 3474.872 2974.046 2377.608 2349.960 1741.709 2159.028 1416.076 1914.523 1622.089 1172.022 1280.181 861.634 1270.495 497.767 464.965 467.557 853.313 237.875 148.131 239.707 197.160 50.401

L=5m 3749.478 2756.339 2340.721 1871.295 1731.915 1259.451 1610.145 1023.982 1441.178 1209.710 850.357 805.466 504.452 969.062 207.707 174.593 205.832 576.125 85.660 53.333 86.295 70.985 18.144

L=7m 2699.061 1875.709 1542.122 1232.853 941.872 659.385 900.811 536.105 822.809 676.784 448.534 411.022 257.425 575.641 105.969 89.091 105.013 293.988 43.701 27.211 44.028 36.218 9.257

BJ 41 L=9m 1632.727 1134.850 932.863 745.780 569.701 398.916 544.858 324.334 497.827 409.355 271.302 248.630 155.713 348.282 64.110 53.894 63.521 177.856 26.436 16.461 26.632 21.910 5.600

L=12m 918.474 638.242 524.812 419.562 320.481 224.387 306.483 182.435 280.032 230.262 152.619 139.843 87.598 195.908 36.061 30.315 35.730 100.043 14.870 9.259 14.981 12.324 3.150

L=3m 4825.881 3595.076 3077.085 2459.983 2428.401 1797.218 2232.717 1461.207 1979.773 1677.452 1210.299 1319.590 888.383 1313.677 510.500 474.972 479.885 880.725 237.929 148.148 239.742 197.239 50.404

L=5m 3857.388 2832.776 2404.542 1922.317 1770.592 1286.175 1647.390 1045.709 1474.096 1237.693 868.302 805.581 504.550 993.804 207.729 174.595 205.820 576.155 85.658 53.333 86.287 70.987 18.144

L=7m 2698.317 1875.969 1541.953 1232.718 941.766 659.454 900.689 536.161 822.867 676.692 448.507 410.982 257.399 575.684 105.979 89.090 105.013 294.043 43.699 27.209 44.026 36.217 9.257

L=9m 1632.727 1134.628 932.950 745.849 569.762 398.913 544.875 324.331 497.864 409.367 271.337 248.612 155.729 348.317 64.107 53.893 63.525 177.842 26.435 16.460 26.633 21.910 5.600

L=12m 918.388 638.282 524.784 419.540 320.472 224.388 306.483 182.436 280.017 230.262 152.615 139.852 87.594 195.908 36.062 30.315 35.730 100.043 14.870 9.259 14.981 12.324 3.150

*2 Nn = A . fy / ω

k8



Index



BJ 50 L=3m 5471.008 4070.091 3481.430 2783.237 2730.069 2016.808 2511.224 1639.742 2229.788 1886.695 1358.038 1472.484 987.376 1481.401 554.826 484.906 524.513 984.805 237.884 148.154 239.737 197.194 50.404

L=5m 4258.012 3117.132 2638.169 2109.091 1845.420 1292.914 1765.425 1051.188 1597.366 1326.373 879.173 805.565 504.649 1081.139 207.688 174.601 205.842 576.254 85.651 53.333 86.293 70.982 18.144

L=7m 2698.653 1875.933 1542.093 1232.830 941.729 659.478 900.601 536.181 823.058 676.626 448.558 410.953 257.432 575.827 105.982 89.087 105.013 293.981 43.701 27.210 44.027 36.220 9.257

BJ 55 L=9m 1632.727 1134.550 932.981 745.874 569.735 398.901 544.815 324.322 497.877 409.322 271.298 248.627 155.720 348.271 64.108 53.893 63.521 177.854 26.436 16.460 26.633 21.910 5.600

L=12m 918.427 638.207 524.775 419.532 320.480 224.392 306.446 182.439 280.037 230.235 152.618 139.845 87.597 195.934 36.061 30.315 35.731 100.045 14.870 9.259 14.981 12.324 3.150

L=3m 7247.638 5371.539 4583.091 3663.963 3527.907 2595.535 3255.969 2110.269 2899.624 2446.226 1748.463 1861.316 1236.335 1934.235 577.098 484.958 571.576 1255.574 237.961 148.129 239.728 197.184 50.396

L=5m 5209.111 3677.247 3023.394 2417.060 1845.567 1292.416 1765.543 1050.784 1613.298 1326.461 878.949 805.536 504.512 1128.390 207.694 174.613 205.796 576.216 85.649 53.333 86.294 70.992 18.143

L=7m 2699.267 1875.868 1542.350 1233.035 941.881 659.523 900.662 536.217 822.985 676.672 448.451 410.973 257.409 575.772 105.978 89.088 105.002 293.983 43.700 27.210 44.025 36.219 9.257

BJ 34 L=9m 1632.727 1134.638 932.856 745.774 569.765 398.932 544.787 324.347 497.824 409.301 271.299 248.628 155.718 348.303 64.111 53.895 63.521 177.855 26.436 16.460 26.633 21.910 5.600

L=12m 918.384 638.291 524.757 419.518 320.467 224.399 306.457 182.445 280.023 230.243 152.612 139.848 87.592 195.927 36.061 30.315 35.731 100.048 14.870 9.259 14.981 12.324 3.150

L=3m 3555.430 2627.326 2236.224 1787.755 1700.332 1245.204 1573.230 1012.398 1402.101 1181.976 840.273 882.025 581.493 938.273 243.814 204.938 241.515 597.872 100.533 62.592 101.285 83.315 21.294

L=5m 2234.360 1553.450 1277.045 1020.937 779.954 546.089 745.697 443.991 681.469 560.246 371.337 340.379 213.179 476.731 87.756 73.773 86.950 243.505 36.189 22.532 36.460 29.993 7.666

L=7m 1140.145 792.515 651.574 520.903 397.920 278.623 380.526 226.531 347.723 285.891 189.477 173.647 108.753 243.261 44.777 37.641 44.365 124.210 18.464 11.496 18.601 15.302 3.911

L=9m 689.759 479.434 394.167 315.118 240.704 168.551 230.202 137.039 210.333 172.952 114.631 105.045 65.795 147.152 27.086 22.770 26.838 75.142 11.169 6.954 11.252 9.257 2.366

L=12m 388.025 269.653 221.724 177.257 135.407 94.806 129.482 77.081 118.310 97.280 64.478 59.085 37.009 82.774 15.236 12.808 15.096 42.270 6.283 3.912 6.330 5.207 1.331

*2 Nn = A . fy / ω

k9



Index


BJ 37 L=3m 3924.253 2895.726 2462.360 1968.539 1851.169 1351.455 1715.830 1098.785 1532.368 1289.112 911.733 945.694 592.142 1027.245 243.760 204.947 241.587 645.079 100.512 62.590 101.274 83.322 21.293

L=5m 2234.526 1553.238 1276.796 1020.737 779.880 546.113 745.846 444.011 681.398 560.358 371.453 340.355 213.144 476.731 87.758 73.778 86.960 243.495 36.189 22.533 36.457 29.992 7.666

L=7m 1140.317 792.515 651.596 520.920 397.949 278.629 380.507 226.536 347.696 285.877 189.477 173.637 108.762 243.261 44.773 37.640 44.366 124.223 18.463 11.496 18.601 15.302 3.911

BJ 41 L=9m 689.774 479.434 394.144 315.099 240.715 168.554 230.185 137.040 210.330 172.939 114.623 105.036 65.794 147.159 27.086 22.770 26.838 75.142 11.169 6.954 11.252 9.257 2.366

L=12m 388.010 269.669 221.714 177.249 135.400 94.806 129.484 77.081 118.314 97.282 64.478 59.085 37.009 82.776 15.236 12.808 15.096 42.269 6.283 3.912 6.330 5.207 1.331

L=3m 4043.588 2980.296 2532.940 2024.965 1895.963 1383.977 1759.025 1125.226 1571.612 1321.564 934.163 945.588 592.112 1055.263 243.805 204.908 241.543 659.663 100.530 62.586 101.263 83.316 21.294

L=5m 2234.943 1553.416 1277.098 1020.979 779.943 546.174 745.888 444.061 681.378 560.389 371.411 340.293 213.150 476.849 87.762 73.771 86.954 243.471 36.187 22.532 36.459 29.993 7.666

L=7m 1140.173 792.515 651.505 520.847 397.914 278.603 380.545 226.515 347.709 285.905 189.477 173.634 108.761 243.261 44.776 37.640 44.366 124.226 18.463 11.496 18.601 15.302 3.911

BJ 50 L=9m 689.814 479.411 394.172 315.122 240.710 168.544 230.188 137.033 210.336 172.941 114.631 105.042 65.795 147.156 27.086 22.770 26.838 75.145 11.169 6.954 11.252 9.257 2.366

L=12m 388.006 269.659 221.716 177.252 135.403 94.806 129.480 77.081 118.313 97.279 64.478 59.084 37.008 82.776 15.236 12.808 15.096 42.270 6.283 3.912 6.330 5.207 1.331

L=3m 4490.000 3301.478 2800.330 2238.731 2065.869 1500.378 1921.228 1219.865 1719.273 1443.429 1013.519 945.240 592.013 1157.834 243.799 204.940 241.563 676.361 100.527 62.591 101.268 83.317 21.294

L=5m 2235.365 1553.391 1277.136 1021.010 779.934 546.096 745.810 443.997 681.517 560.331 371.369 340.302 213.169 476.782 87.757 73.777 86.957 243.447 36.188 22.533 36.459 29.993 7.666

L=7m 1140.193 792.515 651.580 520.907 397.910 278.625 380.502 226.533 347.698 285.873 189.477 173.644 108.756 243.261 44.775 37.641 44.366 124.223 18.463 11.496 18.601 15.302 3.911

L=9m 689.854 479.395 394.176 315.125 240.714 168.552 230.197 137.039 210.339 172.948 114.632 105.040 65.794 147.159 27.086 22.770 26.838 75.146 11.169 6.954 11.253 9.257 2.366

L=12m 388.021 269.664 221.711 177.248 135.401 94.807 129.478 77.082 118.309 97.278 64.479 59.086 37.008 82.778 15.236 12.808 15.096 42.269 6.283 3.912 6.329 5.207 1.331

*2 Nn = A . fy / ω

k 10



Section



Index

BJ 55


L=3m 5602.252 4078.332 3440.609 2750.603 2165.971 1517.269 2071.677 1233.598 1892.962 1556.462 1031.575 945.372 592.050 1324.385 243.788 204.923 241.540 676.372 100.523 62.588 101.277 83.318 21.293

L=5m 2234.780 1553.346 1277.207 1021.066 779.918 546.052 745.821 443.961 681.482 560.339 371.428 340.317 213.176 476.767 87.760 73.777 86.954 243.481 36.188 22.533 36.458 29.992 7.666

L=7m 1140.229 792.515 651.540 520.876 397.902 278.613 380.503 226.523 347.679 285.874 189.495 173.636 108.761 243.261 44.775 37.640 44.365 124.218 18.463 11.496 18.601 15.302 3.911

*2 Nn = A . fy / ω

kc = 0.8 ( jepit - sendi ) L=9m 689.799 479.406 394.150 315.104 240.721 168.548 230.186 137.036 210.329 172.940 114.626 105.041 65.791 147.164 27.086 22.770 26.838 75.145 11.169 6.954 11.252 9.257 2.366

L=12m 388.028 269.659 221.712 177.248 135.401 94.808 129.480 77.083 118.310 97.279 64.478 59.086 37.008 82.777 15.236 12.808 15.097 42.270 6.283 3.912 6.329 5.207 1.331

L=3m 446845.81 337174.52 167671.66 134045.51 109812.80 82499.00 76771.14 52263.89 49925.32 43276.08 32448.18 25218.04 17738.32 15293.39 6288.15 73.25 5717.53 6040.26 2801.97 1758.60 1844.32 965.04 584.12

L=5m 160864.49 121382.83 60361.80 48256.38 39532.61 29699.64 27637.61 18815.00 17973.12 15579.39 11681.34 9078.49 6385.80 5505.62 2263.73 26.37 2058.31 2174.50 1008.71 633.10 663.95 347.41 210.28

L=7m 82073.72 61930.01 30796.83 24620.60 20169.70 15152.88 14100.82 9599.49 9169.96 7948.67 5959.87 4631.88 3258.06 2808.99 1154.97 13.45 1050.16 1109.44 514.65 323.01 338.75 177.25 107.29

L=9m 49649.53 37463.84 18630.18 14893.95 12201.42 9166.56 8530.13 5807.10 5547.26 4808.45 3605.35 2802.00 1970.92 1699.27 698.68 8.14 635.28 671.14 311.33 195.40 204.92 107.23 64.90

kc = 0.65 ( jepit - jepit ) L=12m 27927.86 21073.41 10479.48 8377.84 6863.30 5156.19 4798.20 3266.49 3120.33 2704.75 2028.01 1576.13 1108.65 955.84 393.01 4.58 357.35 377.52 175.12 109.91 115.27 60.32 36.51

L=3m 676878.86 510749.57 253987.83 203051.19 166343.64 124968.90 116292.38 79168.97 75626.52 65554.30 49152.27 38200.10 26869.88 23166.32 9525.24 110.97 8660.88 9149.75 4244.41 2663.92 2793.76 1461.84 884.82

L=5m 243676.39 183869.85 91435.62 73098.43 59883.71 44988.80 41865.26 28500.83 27225.55 23599.55 17694.82 13752.04 9673.16 8339.87 3429.09 39.95 3117.92 3293.91 1527.99 959.01 1005.75 526.26 318.54

L=7m 124324.69 93811.15 46650.83 37295.12 30552.91 22953.47 21359.83 14541.24 13890.59 12040.58 9027.97 7016.35 4935.28 4255.04 1749.53 20.38 1590.77 1680.57 779.59 489.29 513.14 268.50 162.52

L=9m 75208.76 56749.95 28220.87 22561.24 18482.63 13885.43 12921.38 8796.55 8402.95 7283.81 5461.36 4244.46 2985.54 2574.04 1058.36 12.33 962.32 1016.64 471.60 295.99 310.42 162.43 98.31

L=12m 42304.93 31921.85 15874.24 12690.70 10396.48 7810.56 7268.27 4948.06 4726.66 4097.14 3072.02 2387.51 1679.37 1447.89 595.33 6.94 541.31 571.86 265.28 166.49 174.61 91.36 55.30

*3 Ncrb = π2. E . A/( Kc.L / rx )2

k 11

Øb = 0.9 Section Index


L=3m 285981.32 215791.69 107309.86 85789.13 70280.19 52799.36 49133.53 33448.89 31952.21 27696.69 20766.83 16139.54 11352.53 9787.77 4024.41 46.88 3659.22 3865.77 1793.26 1125.51 1180.36 617.63 373.84



Parameter

Konstanta

Konstanta

Komponen Tak Bergoyang Ncrb ( KN ) *3 kc = 1 ( sendi - sendi )


Øb Ny ( KN )

Puntir

Puntir

Torsi (J)

Lengkung (Iw)

mm4

mm6x(1010)

5430833.33 1979166.67 2050533.33 933333.33 520833.33 194400.00 460800.00 112500.00 1064800.00 633162.50 219700.00 571583.33 162760.42 409600.00 66666.67 86573.82 66666.67 228666.67 42868.75 27986.46 42868.75 25600.00 10481.07

180.55 124.02 59.85 44.52 20.20 13.82 15.13 8.72 14.58 12.13 8.03 5.01 3.18 7.39 0.80 0.65 0.69 1.36 0.19 0.10 0.14 0.07 0.02

L=5m 102953.27 77685.01 38631.55 30884.09 25300.87 19007.77 17688.07 12041.60 11502.79 9970.81 7476.06 5810.24 4086.91 3523.60 1448.79 16.88 1317.32 1391.68 645.57 405.18 424.93 222.35 134.58

L=7m 52527.18 39635.21 19709.97 15757.19 12908.61 9697.84 9024.53 6143.67 5868.77 5087.15 3814.32 2964.41 2085.16 1797.75 739.18 8.61 672.10 710.04 329.37 206.73 216.80 113.44 68.66

*3 Ncrb = π2. E . A/( Kc.L / rx )2

L=9m 31775.70 23976.85 11923.32 9532.13 7808.91 5866.60 5459.28 3716.54 3550.25 3077.41 2307.43 1793.28 1261.39 1087.53 447.16 5.21 406.58 429.53 199.25 125.06 131.15 68.63 41.54

L=12m 17873.83 13486.98 6706.87 5361.82 4392.51 3299.96 3070.85 2090.56 1997.01 1731.04 1297.93 1008.72 709.53 611.74 251.53 2.93 228.70 241.61 112.08 70.34 73.77 38.60 23.36

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

BJ 34

BJ 37

BJ 41

BJ 50

BJ 55

4714.50 3557.40 3068.10 2452.80 2564.10 1926.33 2333.10 1566.18 2055.48 1752.87 1293.18 1485.33 1024.59 1347.36 694.26 701.40 631.26 969.15 458.43 382.20 429.45 345.03 222.60

5388.00 4065.60 3506.40 2803.20 2930.40 2201.52 2666.40 1789.92 2349.12 2003.28 1477.92 1697.52 1170.96 1539.84 793.44 801.60 721.44 1107.60 523.92 436.80 490.80 394.32 254.40

5612.50 4235.00 3652.50 2920.00 3052.50 2293.25 2777.50 1864.50 2447.00 2086.75 1539.50 1768.25 1219.75 1604.00 826.50 835.00 751.50 1153.75 545.75 455.00 511.25 410.75 265.00

6510.50 4912.60 4236.90 3387.20 3540.90 2660.17 3221.90 2162.82 2838.52 2420.63 1785.82 2051.17 1414.91 1860.64 958.74 968.60 871.74 1338.35 633.07 527.80 593.05 476.47 307.40

9204.50 6945.40 5990.10 4788.80 5006.10 3760.93 4555.10 3057.78 4013.08 3422.27 2524.78 2899.93 2000.39 2630.56 1355.46 1369.40 1232.46 1892.15 895.03 746.20 838.45 673.63 434.60

4243.05 3201.66 2761.29 2207.52 2307.69 1733.70 2099.79 1409.56 1849.93 1577.58 1163.86 1336.80 922.13 1212.62 624.83 631.26 568.13 872.24 412.59 343.98 386.51 310.53 200.34

4849.20 3659.04 3155.76 2522.88 2637.36 1981.37 2399.76 1610.93 2114.21 1802.95 1330.13 1527.77 1053.86 1385.86 714.10 721.44 649.30 996.84 471.53 393.12 441.72 354.89 228.96

5051.25 3811.50 3287.25 2628.00 2747.25 2063.93 2499.75 1678.05 2202.30 1878.08 1385.55 1591.43 1097.78 1443.60 743.85 751.50 676.35 1038.38 491.18 409.50 460.13 369.68 238.50

5859.45 4421.34 3813.21 3048.48 3186.81 2394.15 2899.71 1946.54 2554.67 2178.57 1607.24 1846.05 1273.42 1674.58 862.87 871.74 784.57 1204.52 569.76 475.02 533.75 428.82 276.66

8284.05 6250.86 5391.09 4309.92 4505.49 3384.84 4099.59 2752.00 3611.77 3080.04 2272.30 2609.94 1800.35 2367.50 1219.91 1232.46 1109.21 1702.94 805.53 671.58 754.61 606.27 391.14

*4 Ny = A . fy

k 12

CARA PRAKTIS ANALISIS DAN PERANCANGAN BALOK DAN BALOK - KOLOM STRUKTUR BAJA TIPE WF DENGAN TABEL PROFIL YANG DIPERBAIKI BERDASARKAN SNI

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