Design Examples of Steel and Steel-Concrete Composite Bridges - Finite Element Analysis and Design of Steel and Steel-Concrete Composite Bridges - page 350

Width of slab ¼ 250 = 6 ¼ 41 : 7cm

Width of haunch ¼ 50

=

6 ¼ 8

:

3cm

A 1 ¼ 70 3 ¼ 210 cm 2
A 2 ¼ 174 1 4cm 2

A 3 ¼ 50 3 ¼ 150 cm 2
A 4 ¼ 8

: 6 ¼ 278 :

3 20 ¼ 166 cm 2 :

5cm 2 A 5 ¼ 41 : 7 25 ¼ 1042 :

9cm 2
To determine the centroid, we can take the first area moment around
the x 1 - x 1 axis, as follows:

A¼ 1846 :

210 1 : 5 + 278 : 4 90 + 150 178 : 5 + 166 190 + 1042 : 5 212 : 5

y c ¼

1846 : 9

¼ 165 : 3cm

I x ¼ 70 3 3

8 2 6 174 3 3 2 ½ = 12 + 210 163 : +1 ½ : = 12 + 278 : 4 75 :

[phone]

½ = 12 + 150 13 : +8 ½ : = 12 + 166 24 :

7 25 3 2 2 ¼ 10,425,383 cm 4 +41 ½ : = 12 + 1042 : 5 47 :

Shear flow at section s - s :

36 10 3 10 3

Q Ed S ss
I x

2193 : 166 24 ½ : 7 + 1042 : 5 47 : 2

q ¼ ¼

10,425,383 10 4

¼ 1121 : 5N = mm

Maximum spacing between shear connectors in the longitudinal direction

s

235
f y

r

235
275

ð S max Þ¼ 15 t f ¼ 15 30 ¼ 416mm

Force per two headed studs ¼S 1121 : 5N

Force per one headed stud ¼S 560

:

75N
Design resistance of headed studs can be calculated as follows:

8 f u pd 2 14 25 2 0 : = 4 0 : 8 430 3 : = 4

P Rd ¼ ¼ ¼ 135,088N ¼ 135 : 1kN

g v 1 : 25

a¼ 1