Beer & Johnston — Analysis and Design of Beams for Bending: Problem 5.39

5.39 Using the method of Sec. 5.2, solve Prob. 5.6a. Prob. 5.6: For the beam and loading shown in Fig. P5.6, (a) draw the shear and bending-moment diagrams. (From Fig. P5.6: A simply supported beam $AD$ of total length $L$ has supports at $A$ and $D$. A uniformly distributed load of intensity $w$ is applied over the segment $BC$. The distance from $A$ to $B$ is $a$, and the distance from $C$ to $D$ is $a$. Consequently, the length of the segment $BC$ is $L - 2a$.)