$(1)$

For the beam and loading shown,

$($a$)$ draw the shear and bending moment diagrams

$($b$)$ find $V_{\text{m}\text{a}\text{x}}$ and $M_{\text{m}\text{a}\text{x}}($the largest magnitudes of $V$ and $M),$ and

where they occur

$($c$)$ Show the locations of $U_{\text{m}\text{a}\text{x}}$ and $M_{\text{m}\text{a}\text{x}}$ on a diagram of the beam, Showing enough quantitative data to validate these locations