A W$-$section is to be selected to support a concentric axial compressive load of $\backslash ($ P$\_\{$f$\}=3200\backslash$mathrm$\{$kN$\}\backslash ).$ The member is $5$ m long and is to be fixed top and bottom $($Hint: check k $).$ Select the lightest available Wsection using G$40\mathrm{.}21350$W steel material given that the column depth, d$,$ must be no more than $275$ mm in order for the column to fit inside an architectural surround.