LIVE LOAD + IMPACT ( SHEAR )
CASE 1: Design Lane + Design Tandem(1.33)
Design Lane
A B Ra1 = wL /2
Ra1 = 9.34(12.25 /2) = 57.2075 kN
12.25 m
143.64 kN 143.64 kN
(108*1.33 kN) (108*1.33 kN)
Ra2(12.25) = 143.64(12.25) + 143.64(12.25-1.2)
1.2
Ra2 = 273.2091 kN
A B
12.25 m
V = Ra1 + Ra2
V = 57.2075 + 273.2091
V = 330.4166 kN
CASE 2: Design Truck + Design Lane
Design Lane
A B Ra1 = wL /2
Ra1 = 9.34(12.25 /2) = 57.2075 kN
12.25 m
192.85 kN 192.85 kN 46.55 kN
Ra2(12.25) = 192.85(12.25) + 192.85(12.25-4.3)
(145*1.33 kN) (145*1.33 kN) (35*1.33 kN)
+ 46.55(12.25-4.3-4.3)
4.3 4.3 Ra2 = 331.8757 kN
A B V = Ra1 + Ra2
V = 57.2075 + 331.8757
12.25 m
V = 389.0832 kN
CASE II governs, use V = 389.0832
For interior girders, Max Shear = V(distribution factor) = 389.0832(0.8164) = 317.6475 kN
Max Shear for LL + IM
For exterior girders, Max Shear = V(distribution factor) = 389.0832(0.624) = 242.7879 kN
LIVE LOAD + IMPACT ( SHEAR )
Design Lane = 9.34 kN/m
Mmax = w(L^2)/8
A B
Mmax = 9.34(12.25^2)/8
12.25 m
Mmax= 175.198 kN-m
Mmax
M
287.28 kN
143.64 kN 143.64 kN
0.3 0.3 0.6 6.125 - 0.9 =5.225 Ra(12.25) = 143.64(5.225) + 143.64(5.225 + 1.2)
Ra = 136.6046 kN
A B
Mtruck = 136.6046(5.825) = 795.722 kN
6.125 m 6.125 m
6.125 - 0.3 = 5.825 M Case I M = Mmax lane + Mtandem (or M lane + Mtandem)
= 175.198 + 795.722
Case I M = 970.92 kN-m
Ra = 136.6046
Design Lane = 9.34 kN/m
A B
Mmax = w(L^2)/8
12.25 m
Mmax = 9.34(12.25^2)/8
Mmax Mmax= 175.198 kN-m
M
R = 432.25 kN
2.8446
2.8446 192.85 kN 192.85 kN 46.55 kN
192.85 kN 4.3 4.3
192.85 kN 46.55 kN
4.3 4.3
A B R(x) = 192.85(4.3) + 46.55(2*4.3)
6.125 m 6.125 m 432.25(x) = 192.85(4.3) + 46.55(2*4.3)
x = 2.8446