4.5 BEAMS RESTRAINED BY SHEETING

_____ 361

- check at the intermediate support 2

,

1.22 0.033 12 2 18.435Ed

b Rd

VV

= = <⋅

– OK

Due to the fact that the shear force VEd < 0.5 Vb,Rd no reduction due to shear force need be done.

Stability for the uplift loading case

Gross properties of the free flange (a 1/5th part of the purlin web is considered (§§4.5.3.2, Figure 4.55)

At the span

22

200 66 21.2 1.46 185.71mm5 5fzhA b c t⎛ ⎞ ⎛ ⎞= + + = + + =⎜ ⎟ ⎜ ⎟

⎝ ⎠ ⎝ ⎠

28.12mmGy = ; 2 66 28.12 37.88mmGb y− = − =

( ) ( ) ( )

33 322

222

2 2

/ 512 12 12 5

2

fz G

G G

t bh t c t hI y t

b y b t b y c t

⋅⋅ ⋅ ⎛ ⎞= + + + +⎜ ⎟⎝ ⎠

⎛ ⎞+ − + − ⋅⎜ ⎟⎝ ⎠

4127881.05mmfzI =

3

2

3375.2mmfzfz

G

IW

b y= =

− Free flange identification

26.24mmfzfz

fz

Ii

A= =

Lateral bending

Lateral load

0

0

1101451.60 97.89 0.1633307851 200

/ 0.163 37 / 2000.163 0.185 0.022

= = ⋅ =

= − = − == − = −

yz sh

y

h h

I gkI h

k k a h

, 0.022 ( 0.38) 0.00836N/mmh d h dq k q= = − ⋅ − =

b

c

h

b 1

2

g s

shear centre

b

c

h

b

h/5

1

2

yG