Given: The steel $)=(29{10}^6$ rod $BC$ has a diameter of $2$ in$.$ and supports wooden beam $AB.$ All supports are pinned, except the beam support at $B,$ which is a roller.

Find: a$)$ The maximum shear stress of the beam.

b$)$ The maximum bending stress of the beam.

c$)$ The maximum length $L$ of the rod to support the load.

Moment of inertia of a circle: $\frac{r^4}{4}$

d$)$ Change in length of the rod based on $L$ found from $c).$