Problem #$23-$ Shear Force and Bending Moment Diagram $(20)$ distributed load across a $20$ The simply supported beam is loaded with a $12\mathrm{.}1kN.$med located at the $5-$meter and $15-$meter meter span. Concentrated forces of $77kN$ and $48kN$ astions clearly. Complete the following: mark, respectively. Show all work and any 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.

Answer Key

$1.$

Critical Section

$($m$)$

$($B$)$

A

$5m()$

${\displaystyle \underset{?}{\overset{?}{}}}{\displaystyle \underset{?}{\overset{?}{}}}$

$$

$q,$

$q,$

$5m$

$x(m)$

$q,$

$q,$