Problem #$3-$ Shear Force and Bending Moment Diagrams $(15$ points total, $3$ parts$)$

The simply supported beam with span length of $18-ft$ is loaded as shown below. A $3ki\frac{p}{f}t$ uniformly distributed load acts across the entire $18-$foot section as shown, and a $9-$kip force acts downward at $13$ ft from point A $.$ Show all work and any assumptions on the provided calculation sheet. Record your answers on diagram and the answer key. Complete the following:

$()$ support and point B is a roller support.

Part B $(6$ points$)$: Calculate the shear force at key intervals and 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 $(6$ points$)$: Calculate the bending moment at key intervals and 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

$\backslash$table$[[\backslash$table$[[$Max Shear$],[$Force $($k$)]],],[\backslash$table$[[$Max Bending$],[$Moment $($k $*ft$