A compression member $AB(HE400B)$ is pinned at both ends and braced in the weak direction as shown in the figure. Material and geometrical properties are given below. For the given loading and ASD load combination $)=(3500kN,$ determine whether the section is satisfactory or not.

$[15\%]$

Material:

S $355,Fy=355$MPa,$Fu=510$MPa

$E=200000$MPa

Section properties $($HE $400$ B$)$:

A: $19780m{m}^2$

d: $,400mm$

h: $,298mm$

tw:

$13\mathrm{.}5mm$

tr$.24mm$

b: $,300mm$

ix: $,170\mathrm{.}8mm$

iy:

$74mm$