Given: The truss shown below is subjected to dead load and live load forces and $($:$P_L\}.$ The forces shown in the truss below are service loads.

$a=50$ kips

$b=50$ kips

$c=8ft$

$d=12ft$

$P_D=$ a kips

Find

Compute the forces in all three members. $(9$ points$)$

Select a WT $8-$shape for member BC$.$ Use A$36$ steel. Assume initial $F_{cr}=25\mathrm{.}5$ksi. Ignore the strength reduced by local buckling. $(20$ points$)$