Problem $2($Similar:Segui $\backslash (5^\{\backslash$text $\{$th $\}\}\backslash )$ Edition, Problem $4\mathrm{.}3-3)$

Compute the nominal compressive strength of the member shown in Figure P$4\mathrm{.}3-3.$

a$)$ Use AISC Equation E$3-2$ or E$3-3.$

b$)$ use Euler equation, plot $($to scale$)$ the first three modes of failure and the compute load associated with each mode

c$)$ Compute the strong axis capacity, plot both buckling mechanisms for cases a$)$ and c$)$