For the following beams and loading configurations:

a$.$ Draw the shear and moment diagrams $($on the tension side$-$positive bending$).$ Clearly illustrate all critical points and label axes.

b$.$ Determine the moment of inertia for the cross$-$section about the strong axis.

c$.$ Determine the maximum normal stress for each of the beams from the applied loads.

Assume the following for the variables:

$L=50$

$y=9$

$w=1\mathrm{.}5$kip$\frac{s}{t}t$

$x=12$

$x=12$