Pts : $10$

Problem $1\mathrm{.}3-19$

A plane frame is restrained at joints A and $C,$ as shown in the figure.

Members $AB$ and $BC$ are pin connected at $B.$ A triangularly

distributed lateral load with a peak intensity of $90\frac{lb}{ft}$ acts on $AB.$ A

concentrated moment is applied at joint $C.$

$($a$)$ Find reactions at supports A and $C.$

$($b$)$ Find internal stress resultants $N,V,$ and $M$ at $x=3ft$ on column $AB.$