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KONTRUKSI BAJA
3 GEDUNG 2 SORE
IVAN KRISTIANTO
SATRIAN FAJAR
YASMIN SABILA
BATANG AKSIAL LENTUR
CONTOH 1
◦ Kolom menopang beban atap. Beban
tersebut searah dengan gravitasi yang
menumpu pada kolom.
◦ Sehingga, kolom menjadi tumpuan beban,
dan diantarkan ke pondasi.
CONTOH 2
◦ Kolom menopang beban plat lantai
jembatan. Beban tersebut searah dengan
gravitasi yang menumpu pada kolom.
◦ Sehingga, kolom menjadi tumpuan beban,
dan diantarkan ke pondasi.
CONTOH 3
◦ Kolom menopang beban balok. Beban
tersebut searah dengan gravitasi yang
menumpu pada kolom.
◦ Sehingga, kolom menjadi tumpuan beban,
dan diantarkan ke pondasi.
DESIGN
3 METER
2 METER
BEBAN
BALOK
PROFIL
BJ – 41 ; Fy = 250 Mpa ; E = 200000 Mpa ; Fr = 70 Mpa
Diketahui :
Profil kolom IWF 125 x 125 x 6.5 x 9
H = 125 mm
B = 125 mm
tw = 6.5 mm
tf = 9 mm
r = 10 mm
A = 30.31 cm²
Berat = 23.8 kg/m
Ix = 847 cm4
Iy = 293 cm4
ix = 5.29 cm
iy = 3.11 cm
Sx = 136.00 cm³
Zx = 153.50 cm³
3 METER
2 METER
BEBAN
BALOK
PROFIL
BJ – 41 ; Fy = 250 Mpa ; E = 200000 Mpa ; Fr = 70 Mpa
Diketahui :
Profil balok IWF 125 x 125 x 6.5 x 9
H = 125 mm
B = 125 mm
tw = 6.5 mm
tf = 9 mm
r = 10 mm
A = 30.31 cm²
Berat = 23.8 kg/m
Ix = 847 cm4
Iy = 293 cm4
Ix = 5.29 cm
Iy = 3.11 cm
Sx = 136.00 cm³
Zx = 153.50 cm³
3 METER
2 METER
BEBAN
BALOK
PEMBEBANAN
MOMEN
◦ M = 1/12 q L²
= 1/12 (23.8) 2²
= 7.933 kgm
◦ Mu = 1.4 MDL
= 1.4 (7.933)
= 11.10 kgm
= 0.111 KNm
= 111 Nm
TERPUSAT pada KOLOM
◦ P = R/2 = ( q L )/2
= ( 23.8 . 2)/2
= 23.8 Kg
◦ Pu = 1.4 P
= 1.4 (23.8)
= 33.32 Kg
= 0.3332 KN
= 333.2 N
3 METER
2 METER
BEBAN
BALOK
HARGA KONSTANTA TEKUK ( Kc )
◦ Ga = (∑(Ic/Lc))/(∑(Ib/Lb))
= ( 847/3 ) / ( 847/2 )
= 0.67
◦ Gb = Tumpuan Jepit
= 1
Struktur bergoyang,
◦ n = 2 J – ( m + 2F +2H + R )
= 2(4) – ( 3 + 2(2) + 0 + 0 )
= 1 ( Bergoyag )
Maka, Nilai Kc adalah 1.28
( SNI 1729 halaman 33 )
3 METER
2 METER
BEBAN
BALOK
B
A
KONTROL KEKUATAN KOLOM
◦ Lkx = Kc L
= 1.28 . 300
= 384 cm
◦ λx = Lkx/ix
= 384/5.29
= 72.59 < 200 ( OK u/ SYARAT GEDUNG )
◦ Pe1 = (π² E A ) / ( Λx² )
= (π² 200000 ( 30.31 x 100 )) / ( 72.59² )
= 2339536.2 KN
= 2339.5362 N
◦ λc = ( Λx/π ) ( √fy/E )
= ( 72.59/π ) ( √250/200000 )
= 0.816
Mencari Nilai Mux
◦ Cmx = Model 8
= 0.6 + 0.4 ( M1/M2 )
= 0.6 + 0.4 ( 0/0.111 )
= 0.6
◦ δbx = Cmx / ( 1 – ( Pu/Pe1 )
= 0.6 / ( 1 – (333.2/2339.5362 )
= 0.6
Karena, δbx < 1
Maka gunakan δbx = 1
◦ Mux = δbx Mu
= 1 . 111
= 0.111 KNm
KONTROL PENAMPANG
UNTUK SAYAP
◦ b/2tf < 170/√fy
( 125/2(9) ) < ( 170/√250 )
6.94 < 10.75
KOMPAK ( Maka, gunakan Mnx = Mpx )
UNTUK BADAN
KONTROL LATERAL BUCKLING
◦ Lb = 300 cm = 3 m
◦ Dari Tabel IWF tanpa Songkongan
Lr = 771 cm = 7.71 m
Lp = 155 cm = 1.55 m
◦ Maka,
Lp < Lb < Lr ( BENTANG MENENGAH )
◦ Mn = Cb [ Mr + ( Mp – Mr ) ( (Lr-Lb)/(Lr-Lp) ) ]
= 1 [ 24.48 + ( 38.38 – 24.48 )
( (7.71-3)/(7.71-1.55) )
= 35.1 KNm
◦ Mn = Cb [ Mr + ( Mp – Mr ) ( (Lr-Lb)/(Lr-Lp) ) ]
◦ Cb = u/ Beban Simetris
= 1
◦ Mr = Sx ( Fy – Fr )
= ( 136 x 1000 ) ( 250 – 70 )
= 24480000 N mm
= 24.48 KNm
◦ Mp = Fy Zx
= 250 ( 153.5 x 1000 )
= 38375000 N mm
= 38.38 KNm
PERSAMAAN INTERAKSI
Nilai Mn yang didapatkan ;
◦ Mn = Mp = 38.38 KNm
◦ Mn = Cb [ Mr + ( Mp – Mr ) ( (Lr-Lb)/(Lr-Lp) ) ]
= 35.1 KNm
Gunakan, Mn terkecil = 35.1 KNm

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Baja - Batang Aksial Lentur

  • 1. KONTRUKSI BAJA 3 GEDUNG 2 SORE IVAN KRISTIANTO SATRIAN FAJAR YASMIN SABILA
  • 3. CONTOH 1 ◦ Kolom menopang beban atap. Beban tersebut searah dengan gravitasi yang menumpu pada kolom. ◦ Sehingga, kolom menjadi tumpuan beban, dan diantarkan ke pondasi.
  • 4. CONTOH 2 ◦ Kolom menopang beban plat lantai jembatan. Beban tersebut searah dengan gravitasi yang menumpu pada kolom. ◦ Sehingga, kolom menjadi tumpuan beban, dan diantarkan ke pondasi.
  • 5. CONTOH 3 ◦ Kolom menopang beban balok. Beban tersebut searah dengan gravitasi yang menumpu pada kolom. ◦ Sehingga, kolom menjadi tumpuan beban, dan diantarkan ke pondasi.
  • 7. PROFIL BJ – 41 ; Fy = 250 Mpa ; E = 200000 Mpa ; Fr = 70 Mpa Diketahui : Profil kolom IWF 125 x 125 x 6.5 x 9 H = 125 mm B = 125 mm tw = 6.5 mm tf = 9 mm r = 10 mm A = 30.31 cm² Berat = 23.8 kg/m Ix = 847 cm4 Iy = 293 cm4 ix = 5.29 cm iy = 3.11 cm Sx = 136.00 cm³ Zx = 153.50 cm³ 3 METER 2 METER BEBAN BALOK
  • 8. PROFIL BJ – 41 ; Fy = 250 Mpa ; E = 200000 Mpa ; Fr = 70 Mpa Diketahui : Profil balok IWF 125 x 125 x 6.5 x 9 H = 125 mm B = 125 mm tw = 6.5 mm tf = 9 mm r = 10 mm A = 30.31 cm² Berat = 23.8 kg/m Ix = 847 cm4 Iy = 293 cm4 Ix = 5.29 cm Iy = 3.11 cm Sx = 136.00 cm³ Zx = 153.50 cm³ 3 METER 2 METER BEBAN BALOK
  • 9. PEMBEBANAN MOMEN ◦ M = 1/12 q L² = 1/12 (23.8) 2² = 7.933 kgm ◦ Mu = 1.4 MDL = 1.4 (7.933) = 11.10 kgm = 0.111 KNm = 111 Nm TERPUSAT pada KOLOM ◦ P = R/2 = ( q L )/2 = ( 23.8 . 2)/2 = 23.8 Kg ◦ Pu = 1.4 P = 1.4 (23.8) = 33.32 Kg = 0.3332 KN = 333.2 N 3 METER 2 METER BEBAN BALOK
  • 10. HARGA KONSTANTA TEKUK ( Kc ) ◦ Ga = (∑(Ic/Lc))/(∑(Ib/Lb)) = ( 847/3 ) / ( 847/2 ) = 0.67 ◦ Gb = Tumpuan Jepit = 1 Struktur bergoyang, ◦ n = 2 J – ( m + 2F +2H + R ) = 2(4) – ( 3 + 2(2) + 0 + 0 ) = 1 ( Bergoyag ) Maka, Nilai Kc adalah 1.28 ( SNI 1729 halaman 33 ) 3 METER 2 METER BEBAN BALOK B A
  • 11. KONTROL KEKUATAN KOLOM ◦ Lkx = Kc L = 1.28 . 300 = 384 cm ◦ λx = Lkx/ix = 384/5.29 = 72.59 < 200 ( OK u/ SYARAT GEDUNG ) ◦ Pe1 = (π² E A ) / ( Λx² ) = (π² 200000 ( 30.31 x 100 )) / ( 72.59² ) = 2339536.2 KN = 2339.5362 N ◦ λc = ( Λx/π ) ( √fy/E ) = ( 72.59/π ) ( √250/200000 ) = 0.816
  • 12. Mencari Nilai Mux ◦ Cmx = Model 8 = 0.6 + 0.4 ( M1/M2 ) = 0.6 + 0.4 ( 0/0.111 ) = 0.6 ◦ δbx = Cmx / ( 1 – ( Pu/Pe1 ) = 0.6 / ( 1 – (333.2/2339.5362 ) = 0.6 Karena, δbx < 1 Maka gunakan δbx = 1 ◦ Mux = δbx Mu = 1 . 111 = 0.111 KNm
  • 13. KONTROL PENAMPANG UNTUK SAYAP ◦ b/2tf < 170/√fy ( 125/2(9) ) < ( 170/√250 ) 6.94 < 10.75 KOMPAK ( Maka, gunakan Mnx = Mpx ) UNTUK BADAN
  • 14. KONTROL LATERAL BUCKLING ◦ Lb = 300 cm = 3 m ◦ Dari Tabel IWF tanpa Songkongan Lr = 771 cm = 7.71 m Lp = 155 cm = 1.55 m ◦ Maka, Lp < Lb < Lr ( BENTANG MENENGAH ) ◦ Mn = Cb [ Mr + ( Mp – Mr ) ( (Lr-Lb)/(Lr-Lp) ) ] = 1 [ 24.48 + ( 38.38 – 24.48 ) ( (7.71-3)/(7.71-1.55) ) = 35.1 KNm ◦ Mn = Cb [ Mr + ( Mp – Mr ) ( (Lr-Lb)/(Lr-Lp) ) ] ◦ Cb = u/ Beban Simetris = 1 ◦ Mr = Sx ( Fy – Fr ) = ( 136 x 1000 ) ( 250 – 70 ) = 24480000 N mm = 24.48 KNm ◦ Mp = Fy Zx = 250 ( 153.5 x 1000 ) = 38375000 N mm = 38.38 KNm
  • 15. PERSAMAAN INTERAKSI Nilai Mn yang didapatkan ; ◦ Mn = Mp = 38.38 KNm ◦ Mn = Cb [ Mr + ( Mp – Mr ) ( (Lr-Lb)/(Lr-Lp) ) ] = 35.1 KNm Gunakan, Mn terkecil = 35.1 KNm