Problem $15\mathrm{.}2.$ Analyze the beam shown in Fig. $15\mathrm{.}2$ by: $($a$)$ calculating the support reactions at A and $B$; $($b$)$ calculating the shear distribution $V$ and providing expressions on both beam segments $A$ to $C$ and $C$ to $B$; $($c$)$ calculating the bending moment distribution $M$ and providing expressions on both beam segments $A$ to $C$ and $C$ to $B.$