Problem $2$

Given: The beam below is fixed at A and has a square cross$-$section of $4$ in by $4$ in$.$

Find:

$($a$)$ Draw the shear and moment diagrams for the beam

$($b$)$ What are the maximum stresses in the beam?

$($c$)$ Where along the beam are the maximum stresses located? Where on the cross$-$section are they located?

$($c$)$ If the beam were redesigned to have a circular cross$-$section, what is the minimum diameter required?