Prob # $2$: Consider the $50$ ksi axially loaded W$12$ x $53$ column shown in figure $2$ below with the x $-$axis and

$y-$axis boundary conditions. Following the step$-$by$-$step AISC method demonstrated in the class lectures $(a)$

determine the LRFD design strength of the column $($b$)$ Carry out check for the local buckling for the column.

$(12+3)pts.$ CHECK THE REALAVENT FIGURE