Consider the simple span prismatic beam shown below, pin supported at the left end and roller

supported at the right end with a four foot cantilever, supporting a concentrated load of $2\mathrm{.}5$ kips

$($recall $1$kip$=1000$ pounds$),$ a partial uniform load of $5$kips per foot, and a concentrated

moment of $20$ kip$-$feet applied at the right end of the beam as shown in the sketch below.

a$)$ Sketch the shear diagram for the beam, indicating maximum and minimum values at

critical points along the length of the beam.

$(10$ points$)$

b$)$ Sketch the moment diagram for the beam, indicating maximum and minimum values at

critical points along the length of the beam.

$(10$ points$)$