PROBLEM $\backslash$#$1$

For the building frame shown, the tensile bracing member, BC$,$ located at $45$ degrees from the horizontal, consists of a $\backslash (5^\{\backslash$circ$\}\backslash$times $3-1/2^\{\backslash$prime $\backslash$prime$\}\backslash$times $3/8^\{-1\}\backslash )$ angle, $($A$36$ steel see AISCM angle products Tabie $1-7$A for gage of bolts vertically$).$ A horizontal point live load equal to $50$ kips due to wind loading enters the top of the frame at point $\text{'}\backslash ($ A $\backslash )\text{'}.$ The connection utilizes $\backslash (3/4\backslash )$ inch diameter boits between member BC and gusset plates at points $\text{'}\backslash ($ B $\backslash )\text{'}$ and $\text{'}\backslash ($ C $\backslash )\text{'}$ are as shown.

a$.$ Determine the tensile capacity of the angle. $(35$ points$)$

b$.$ Resolve the force in member BC to determine if the angle has been adequately sized. $(5$ points$)$