$(45$ pts$)$ Problem $2($Pro $8\mathrm{.}11$ Textbook$)$:

Two steel plates $($A$572,$ Fy $=50$ ksi $)$ are welded together to form an inverted T$-$beam. Determine the maximum bending stress developed. Also determine the maximum shear stress at the neutral axis of the cross$-$section and at the intersection where the stem joins the flange. Ignore the weight of the steel plates.