Design Examples of Steel and Steel-Concrete Composite Bridges - Finite Element Analysis and Design of Steel and Steel-Concrete Composite Bridges - page 274

To calculate the bending moment resistance, the elastic section modulus
should be used:

4 150 3 4 3 2 2 Inertia about y - y ¼ 1 : = 12 + 2 36 2 : = 12 + 36 2 : 4 76 :

8cm 4 ¼ 1,397,185 :

5cm 3 W eff , min ¼ 1,397,185 : 8 = 77 : 4 ¼ 18,051 :

Check of Bending Resistance

5 10 3 W el , min f y

g M0

18,051 : 275

M c , Rd ¼ ¼ ¼ 4,964,162,500Nmm

1 : 0

¼ 4964 : 2kNm > M Ed ¼ 4677 : 3 kNm Then O ð : K : Þ

Check of Shear Resistance
V b , Rd ¼V bw , Rd + V bf , Rd

f yw h w t w

p g M1

By neglecting the flange contribution,

1 : 2 275 1500 14

V b , Rd ¼V bw , Rd

p 1

¼ 3,637,306 : 7N ¼ 3637 : 3kN

: 1

w w f yw h w t w

V bw , Rd ¼

p g M1

s

f yw
t cr

l w ¼ 0

: 76 , t cr ¼ k t s E

2

mm 2 s E ¼ 190,000 14 ð = 1500 Þ ¼ 16 : 55N =

2

k t ¼ 5 : 34 + 4 1500 ð = 2000 Þ ¼ 7 : 59

r

275

l w ¼ 0

: 76 ¼ 1 : 125 > 1 : 08

:

59 16

:

7 55

1 : 37 1 : 37

Then, w w ¼

7+ l w ¼

125 ¼ 0

: 751

0 : 7+1 :

0 :