Problem $2$:

Section A$-$A

Select a wide$-$flange $($W$)$ column shape for the following conditions assuming A$992$ Gr$.50$ steel $($Fy $=50$ksi $)$:

a$.$ Axial dead load $(PD)=60$ kips and axial live load $(PL)=88$ kips for an unbraced length of $12ft$ in both $x$ and y directions and pin$-$pin end conditions

b$.$ Axial dead load $($PD$)=103$ kips and axial live load $(PL)=155$ kips for an unbraced length of $16ft$ in the $x$ direction and an unbraced length of $12ft$ in the $y$ direction $($weak$-$axis bracing at partial height$)$ and pin$-$pin end conditions at support points and bracing locations

c$.$ Axial dead load $($PD$)=142$ kips and axial live load $(PL)=213$ kips for an unbraced length of $20ft$ in the $x$ direction and an unbraced length of $10ft$ in the $y$ direction $($weak$-$axis bracing at mid height$)$ and pin$-$pin end conditions at support points and bracing locations