This document provides the design details for a steel truss bridge, including:
1) Specifications for the bridge such as dimensions, member forces, and load calculations.
2) Calculations for the forces in each member of the truss due to dead and live loads.
3) Design of the main tension and compression members using I-beams and checking for strength and buckling requirements.
4) Design of the bolt connections between members to transmit the member forces, checking the number of bolts required.
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1. DISAIN JEMBATAN RANGKA BAJA
2 SIPIL 1 PAGI
UNTUK MELENGKAPI TUGAS BAJA
OLEH:
GILANG ADITYA.P
DANIEL HASIBUAN
SADDAM FIRGIAWAN
DEPOK,15 JUNI 2010
2. PEMODELAN STRUKTUR
TAMPAK DEPAN
TAMPAK ATAS
SEPESIFIKASI JEMBATAN
-Jembatan rangka baja
-Panjang bentang 24 meter
-Lebar jembatan 8 meter
-Tinggi jembatan 3 meter
PERHITUNGAN GAYA-GAYA DALAM
*Reaksi Perletakan
= Ravx24
=
24Rav = 72P
Rav = 3P
Rav = Rbv maka Rbv = 3P
3. *Gaya-Gaya Batang
BUHUL A
V = 0
1 H =0
P S1.0, 6 + 3P = 0
2 S1SIN 53 + S 2 = 0
2,5P S 2 = 4,17 P.0,8
S1 =
0, 6 S 2 = 3,33P
S1 4,17 P
BUHUL B
H =0
V = 0
S1SIN 53 + S 6COS14 = 0
S1COS 53 + S 3 + S 6SIN14 = 0
4,17.0,8P + S 6.0,97 = 0
4,17 P.0, 6 + S 3 + 3, 44.0, 24 = 0
3,33P
S 3 = 3,33P S6 = = 3, 44 P
0,97
4. BUHUL C
V = 0
H =0
P S 3 S 5SIN 26,6 = 0
S 2 + S 4 + S 5COS 26, 6 = 0
P + 3,33P S 50, 45 = 0
3,33P + S 4 + 5,18P.0,89 = 0
2,33P
S5 = S 4 = 7,96 P
0, 45
S 5 = 5,18 P
BUHUL D
V = 0
H =0
S 7 + S 5COS 63, 4 S 6COS 76 = 0
S10 S 5SIN 63, 4 S 6SIN 76 = 0
S 7 + 5,18P.0, 45 3, 44 P.0, 24 = 0
S10 5,18P.0,89 3, 44 P.0,97 = 0
S 7 = 1,5 P
S10 = 7,97 P
5. BUHUL E
V = 0 H =0
P S 7 S 9SIN 26,6 = 0 S 4 + S 8 + S 9COS 26, 6 = 0
P + 1,5P S 9.0, 45 = 0 7,96 P + S 8 + 1,11P.0,89 = 0
0,5 S 8 = 9 P
S9 = = 1,11P
0, 45
BUHUL F
V = 0
P S11 = 0
S11 = P
6. TABEL GAYA BATANG
BEBAN MATI ,HIDUP DAN BERJALAN
TABEL BEBAN HIDUP DAN BEBAN MATI
NO.BATANG GAYA JENIS
S1 4,17P TARIK
S2 -3,33P TEKAN
S3 -3,33P TEKAN
S4 -7,96P TEKAN
S5 5,18P TARIK
S6 3,44P TARIK
S7 -1,5P TEKAN
S8 -9P TEKAN
S9 1,11P TARIK
S10 7,97P TARIK
S11 -P TEKAN
10. TOTAL GAYA YANG BEKERJA DISETIAP BATANG
PERENCANAAN RANGKA UTAMA
Tebal trotoar = 20 cm
Lebar trotoar = 100 cm
Panjang segmen =4m
Tinggi rangka =3m
Lebar jembatan =8m
Beban jalur = 9 kN/m
Beban garis = 49 kN/m
PEMBEBANAN PADA DIAFRAGMA
Beban mati
Berat per ker asan = 24 x 4 x0,5 = 24kN / m
Berat aspal = 22 x 4 x0, 05 = 4, 4kN / m
qdl = 28, 4kN / m
1
M max = x 28, 4 x82 = 227, 2kN .m
8
Mu = 1, 4 xM max = 1, 4 x 227, 2 = 318,1kN .m
11. BEBAN MATI
B.mati +diafragma = RA x factor beban
= 113.6 x 1.1 =124,96 kN
B.trotoar = Bj beton x t x I x 了 x factor beban
= 24 x 0,2 x 1 x 4 x 1,3 =24,96kN +
PDl = 149,92 kN
BEBAN HIDUP
B.lajur = 9 x 6 x 4 x 2 x 0,5 = 216 kN
B.pejalan kaki = 5 x 1 x 4 x2 = 40 kN
B.genangan air = 0,5 x 6 x 4 x 1 x 0,5 = 6 kN
+
qll = 262 kN
BEBAN BERJALAN
B.garis (KEL) = 49 x 6 x 1,4 x 2 x 0,5 = 411,6 kN
DISAIN BATANG TARIK
Pu = 4014,11 kN (s10)
tarik = 0,9
fraktur = 0,75
Fy = 290Mpa = 290 N / mm 2 = 0, 29kN / mm 2 = 29kN / cm 2
Fu = 500Mpa = 500 N / mm 2 = 0,5kN / mm2 = 50kN / cm2
baut = 50mm = 5cm
Preliminary disain ;
Pu Pn
Pu = .Fy. Ag
Pu 4380, 74
Ag = =
Fy 0,9 x 29
Ag = 167,8cm2
Dicoba menggunakan profil IWF 400x400
Tw = 13 mm
Tf = 21 mm
R = 22 mm
Ag = 218,7 cm2
Ix = 66600cm4
Iy = 22400 cm4
ix = 17,5 cm
iy= r min= 10,1cm
Sx =3330 cm3
Zx = 3672,35 cm3
12. Cek kuat leleh tarik
Pu Pn
4380,74 0,9 xFy. Ag
4380,74 0,9 x 29 x 218, 7
4380,74 5708,07 kN .........(OK )
Cek kuat leleh fraktur
Pu Pn
Pn = 0, 75 xFu. Ag Pn = FuxAe
An = Ag 4(luas lub ang ) Pn = 0, 75 x0,5 x15714
An = 21870 10(21x(20 + 1)) Pn = 5892,75kN
An = 17460mm 2 Pu Pn
Ae = AnxU 4380,74 5892, 75kN .............(OK )
Ae = 17460 x0,9 = 15714
DISAIN BATANG TEKAN
Nu = 4942, 08kN .......( s8)
Tekan = 0,85
Fy = 290Mpa = 290 N / mm2 = 0, 29kN / mm 2 = 29kN / cm 2
Fu = 500Mpa = 500 N / mm2 = 0,5kN / mm 2 = 50kN / cm 2
kc = 0, 7
L = 4m = 400cm
E = 200.000 Mpa
Fr = 70Mpa
Dicoba menggunakan profil IWF 400x400
Tw = 13 mm
Tf = 21 mm
R = 22 mm
Ag = 218,7 cm2
Ix = 66600cm4
Iy = 22400 cm4
ix = 17,5 cm
iy= r min= 10,1cm
Sx =3330 cm3
Zx = 3672,35 cm3
13. Cek kelangsingan penampang
kc.L
140
r min
0, 7 x 400
140
10,1
27, 7 140.........(OK )
Cek local buckling
b 400
了= = = 9,52
2.tf 2 x 21
170 170
了p = = = 9,98
Fy 290
370 370
了r = = = 24,9
Fy Fr 290 70
了 < 了 p........ Penampang kompak
Cek lateral buckling
H 2tf 2r 400 2 x 21 2 x 22
了= = = 24,15
tw 13
1680 1680
了p = = = 98,65
Fy 290
2550 2550
了r = = = 171,9
Fy Fr 290 70
了 < 了 p.......... Penampang kompak
Cek kuat tekan nominal
kc.L Fy
了c =
r min . E
0, 7 x 400 290
了c =
10,1x3,14 200000
了 c = 8,83x0, 038
了 c = 0,33 < 1,5
Maka;
Nu Nn
2
4942, 08kN (0, 66了 c ) Ag.Fy
2
4942, 08kN 0,85(0, 660,33 )218, 7 x 29kN
4942, 08kN 5152, 45kN ...........(OK )
14. DISAIN SAMBUNGAN DENGAN BAUT
BUHUL A
Pu = 2289,38kN = 2289380 N .....( s1)
Dbaut = 20mm
Abaut = 1256mm2
Jumlah baut :
S1 = 40mm
S 2 = 140mm
S = 40mm
t. pelat = 20mm
tf = 21mm
f = 0.75
Fu = 410Mpa
Sambungan tipe tumpu
Rd = 2, 4. f .d .tp.Fu.n
Rd = 2, 4 x0,75 x 20 x(20 x 2) x 410.n
2289380
n= = 3,8 4 Baut
590400
BUHUL B
Pu = 4376,5kN = 4376500 N .....( s 4)
Dbaut = 20mm
Abaut = 1256mm 2
Jumlah baut :
S1 = 40mm
S 2 = 140mm
S = 40mm
t. pelat = 20mm
tf = 21mm
f = 0.75
Fu = 410Mpa
Sambungan tipe tumpu
Rd = 2, 4. f .d .tp.Fu.n
Rd = 2, 4 x0, 75 x 20 x(20 x 2) x 410.n
4376500
n= = 7, 4 8 Baut
590400
15. BUHUL C
Pu = 4942, 08kN = 4942080 N .....( s 4)
Dbaut = 20mm
Abaut = 1256mm 2
Jumlah baut :
S1 = 40mm
S 2 = 140mm
S = 40mm
t. pelat = 20mm
tf = 21mm
f = 0.75
Fu = 410Mpa
Sambungan tipe tumpu
Rd = 2, 4. f .d .tp.Fu.n
Rd = 2, 4 x0, 75 x 20 x(20 x 2) x 410.n
4942080
n= = 8, 4 10 Baut
590400
BUHUL D
Pu = 4942, 08kN = 4942080 N .....( s8)
Dbaut = 20mm
Abaut = 1256mm 2
Jumlah baut :
S1 = 40mm
S 2 = 140mm
S = 40mm
t. pelat = 20mm
tf = 21mm
f = 0.75
Fu = 410Mpa
Sambungan tipe tumpu
Rd = 2, 4. f .d .tp.Fu.n
Rd = 2, 4 x0, 75 x 20 x(20 x 2) x 410.n
4942080
n= = 8, 4 10 Baut
590400
16. BUHUL H
Pu = 2289,38kN = 2289380 N .....( s1)
Dbaut = 20mm
Abaut = 1256mm2
Jumlah baut :
S1 = 40mm
S 2 = 140mm
S = 40mm
t. pelat = 20mm
tf = 21mm
f = 0.75
Fu = 410Mpa
Sambungan tipe tumpu
Rd = 2, 4. f .d .tp.Fu.n
Rd = 2, 4 x0,75 x 20 x(20 x 2) x 410.n
2289380
n= = 3,8 4 Baut
590400
BUHUL I
Pu = 4380, 62kN = 4380620 N .....( s10)
Dbaut = 20mm
Abaut = 1256mm 2
Jumlah baut :
S1 = 40mm
S 2 = 140mm
S = 40mm
t. pelat = 20mm
tf = 21mm
f = 0.75
Fu = 410Mpa
Sambungan tipe tumpu
Rd = 2, 4. f .d .tp.Fu.n
Rd = 2, 4 x0, 75 x 20 x(20 x 2) x 410.n
4380620
n= = 7, 4 8 Baut
590400
17. BUHUL J
Pu = 4380, 62kN = 4380620 N .....( s10)
Dbaut = 20mm
Abaut = 1256mm 2
Jumlah baut :
S1 = 40mm
S 2 = 140mm
S = 40mm
t. pelat = 20mm
tf = 21mm
f = 0.75
Fu = 410Mpa
Sambungan tipe tumpu
Rd = 2, 4. f .d .tp.Fu.n
Rd = 2, 4 x0, 75 x 20 x(20 x 2) x 410.n
4380620
n= = 7, 4 8 Baut
590400
CEK BLOCK SHEAR
Agt = 4.S .tf = 4.40.21 = 3360mm 2
D lub ang
Ant = 4.S .tf 4 tf
2
21
= 4 x 40 x 21 4 21 = 2478mm 2
2
Ags = 4( S1 + 3S 2).tf = 4(40 + 3.140).21 = 38640mm 2
Ans = 4( S1 + 3S 2).tf 4 x3,5 D lub ang.tf
= 38640 4 x3,5 x 21x 21 = 32466mm2
FuAnt = 500 x 2478 = 1239000 Mpa = 1239kN
0, 6 FuAns = 0,6 x500 x32466 = 9739800Mpa = 9739,8kN
0, 6 FuAns > FuAnt....... RETAK GESER LELEH TARIK
Pn = ( FyAgt + 0, 6 FuAns)
= 0, 75(0, 29 x3360 + 9739,8)
= 0, 75 x10714, 2kN
= 8035, 65kN ................(OK )
18. Cek kuat leleh fraktur
Pu Pn
Pn = 0, 75 xFu. Ag
An = Ag 10(luas lub ang )
An = 21870 10(21x(20 + 1))
An = 17460mm 2
Ae = AnxU
Ae = 17460 x0,9 = 15714
Pn = FuxAe
Pn = 0, 75 x0,5 x15714
Pn = 5892,75kN
Pu Pn
4380,74 5892, 75kN .............(OK )