Buckling.$(10$pts$)$

The A$-36-$steel W$12\backslash$times $50$ column is fixed at its base. Its top is

constrained so that it cannot move along the x$-$x axis but is free to

rotate about and move along the y$-$y axis. Determine the allowable

centric load the column can support if the safety factor is $2.$

Data: A$=15$in $^(2),$I$\_($y$)=56$in$^(4),$I$\_($x$)=394$in$^(4)$