Question $2$:

An $8-$m long H$-$column $($UC $\backslash (305\backslash$times $305\backslash$times $118\backslash ))$ in a non$-$sway frame is made of grade S $460$ steel and its both ends are pinned. It is under a factored axial load of $200$ kN $,$ and factored moments of $\backslash (60\backslash$mathrm$\{$kN$\}\backslash$cdot $\backslash$mathrm$\{$m$\}\backslash )$ and $\backslash (15\backslash$mathrm$\{$kN$\}\backslash$cdot $\backslash$mathrm$\{$m$\}\backslash )$ about the major and minor principal axes respectively of its crosssection at the top end of the column. The column is not restrained along its length. You may assume an effective length factor $(\backslash (\backslash$left$.$L$\_\{$c$\}/$ L$\backslash$right$)\backslash )$ for i$)$ flexural column buckling as $1\mathrm{.}0,$ and ii$)$ lateraltorsional beam buckling as $1\mathrm{.}0.$ Check structural adequacy of the column.

$(25$ marks$)$