Problem #$23-$ Shear Force and Bending Moment Diagram $(20$ points total, $3$ parts$)$

The simply supported beam is loaded with a $12\mathrm{.}1k\frac{N}{m}$ uniformly distributed load across a $20-$

meter span. Concentrated forces of $77kN$ and $48kN$ are located at the $5-$meter and $15-$meter

mark, respectively. Show all work and any assumptions clearly. Complete the following:

Part A $(4$ points$)$: Calculate the support reactions at A and $B$ for the beam. Point $A$ is a pin

support and point $B$ is a roller support.

Part B $(8$ points$)$: Draw the shear$-$force diagram and determine the maximum shear force. Label

all applicable shear forces, distances, and areas of positive and negative shear.

Part C $(8$ points$)$: Draw the bending$-$moment diagram, determine the maximum bending moment,

and identify the critical section. Label all applicable bending moments, distances, and areas of

positive and negative bending moment.