Assignment $2.$ Compression member design

${23}^{rd}$ January $2024$

A rectangular hollow section $($RHS$)$ member is to be used as an internal column in a multi$-$storey building, subjected to a design load of $748kN.$ The column has pinned boundary conditions at each end, and the inter$-$storey height is $5\mathrm{.}0m,$ as shown below.

Assess the suitability of a hot$-$rolled $200$x$100$x$16$ RHS in grade S$355$ steel for this application. Section properties are given.

$I_e=748kN$

Figure $1.$ General arrangement and loading

Section properties:

$h=200mm$

$b=100mm$

$t=16mm$

$r=8\mathrm{.}0mm$

$A=8300m{n}^2$

$I_y=36780000m{m}^4$

$I_z=11470000m{m}^4$

Figure $2.$ Section properties for $200$x$100$x$16$ RHS