Situation $1.$

A W$10$X$54$ A$992$ Steel is used as a pin$-$connected column. The $40$ft long column is braced at midheight with respect to its weak axis. Determine the axial compressive strength $($ASD & LRFD$).$

Properties of W$10$x$54$:

$A=15\mathrm{.}8i{n}^2$

$d=10\mathrm{.}1in.$

$b_f=10\mathrm{.}0in..$

$t_f=0\mathrm{.}615in..$

$t_w=0\mathrm{.}370in.$

$r_x=4\mathrm{.}37in..$

$r_y=2\mathrm{.}56in..$

$\frac{b_f}{2}{t}_f=8\mathrm{.}15$

$\frac{h}{t_w}=21\mathrm{.}2$