Question $39($USE AUSTRALIAN STANDARD$-$ or Dont attempt the question$)$

$($Total Marks for Question $3$: $25)$

A grade $300250$ UC$89\mathrm{.}5$ steel column has been designed to support a substantial

axial compression load in a large carpark structure. The column is located at the

end of a ramp so there is a possibility that the column could also be subjected to

substantial bending actions due to impact loads during the life of the structure,

therefore combined actions checks needs to be conducted.

Details of the ultimate design loadings are shown in Figure $3.$

The following assumptions can be made:

The column can be assumed to be braced and pinned at the base and the top

of the column, about both axes.

No lateral restraints are available about any axis.

a$)$ Conduct a combined actions section capacity check.

b$)$ Conduct a combined actions in$-$plane member capacity check.

c$)$ Conduct a combined actions out$-$of$-$plane member capacity check.

Figure $3-$ Load case causing $x-$axis bending to column