Refer to the beam shown below:

a$)$ Solve for the reactions then neatly draw the shear and bending moment diagram showing the max$/$min values.

b$)$ Assuming the centroid of the cross section $($y$)$ is $5\mathrm{.}7$ in from the bottom and that it's moment of Inertia is $1,127$ in$,$ compute the maximum bending stress $($units of psi$).$