Question $1.$ A $14$ m height compression member is concentrically connected at both A

and B ends. The end A is connected to behave as pin while the end B is connected to

behave as fixed. The member has been braced at the midpoint to prevent lateral

deflections in the minor principal plane as shown in Figure $1.$ The member is subjected to

an axial compressive dead load $(Q_d)$ of $420$ kN and a compressive imposed load $(Q_i)$ of

$640$ kN $.$

$($a$).$ Design a suitable universal column $($HE$-$A or HE$-$B Table $1\mathrm{.}2$ or $1\mathrm{.}3$ of

$"$ST$$LKONSTRKJONER$")$ of steel grade S$275$ to resist the axial loading.

$($b$).$ If the end A also will behave as fixed, do you believe that designed cross section

in $($a$)$ can withstand above loadings. Illustrate the reasons for your argument.

Figure $1$