PROBLEM $1$

A W$14$x$96$ column, pinned at the top and fixed at the bottom, has a $28-ft$ length, and

is braced at mid$-$height in the weakdirection. Using a factor of safety of $3\mathrm{.}0$

determine the allowable centric load that can be applied to the column. $E=28x$

${10}^6,Fy=54$ksi.

$($W$14$x$96$ PROPERTIES: A $=28\mathrm{.}2i{n}^2,I_x=833i{n}^4,S_x=131i{n}^3,r_x=5\mathrm{.}44in$

$\{$:$l_y=270i{n}^4,S_y=44\mathrm{.}4i{n}^3,r_y=3\mathrm{.}09in)$