Design Examples of Steel and Steel-Concrete Composite Bridges - Finite Element Analysis and Design of Steel and Steel-Concrete Composite Bridges - page 386

Compression flange

50

z

z

50

3

3

45 cm

z

y y

270 cm

1.6

54

z

Figure 4.147 Check of lateral torsional buckling of plate girder.

Given, C b ¼ 1 : 13, E ¼ 210GPa, G¼ 81GPa, l b ¼ 5588 : 3mm and k ¼ 1 :

Inertia about z - zIðÞ¼ 2 3 50 3 12 + 2 3 54 2 6 3

= =

12 + 270 1

: =

12

¼ 141,324 cm 4

h 2 I z

4 ¼

2820 2

141,324 10 4
4

809662444 10 15 mm 6 C w ¼ ¼ 2 :

¼ 22,570,240mm 2

1
3

2 540 30 3 +2 500 30 3 + 2820 16 3 j ¼

t

3

! 2

14
5588

3 : : 14 210

5588

M cr ¼ 1 : :

809662444 10 15

141,324

13 2

: 3 : 3

p

10 4 + 210 141,324 10 4