Design a simply supported rectangular reinforced concrete beam to span $26$ ft and to carry uniform service loads of $1\mathrm{.}7$ kips$/$ft dead load and $2\mathrm{.}3$ kips$/$ft live load. The assumed dead load does not include the beam self$-$weight; however, the self$-$weight must be accounted for so that the beam is designed to withstand both the superimposed dead load and the beam self$-$weight. Use ASTM A$615$ grade $60$ steel and f$$c $=6,500$ psi. Make the beam width $16$ in$.$ and keep the overall depth $($h$)$ to full inches. Assume $1\mathrm{.}5$ inches of cover to #$3$ stirrups. Check the adequacy of the beam you design by comparing Mu with $\backslash$Phi Mn$,$ checking As$,$min $($for geometry and flexure$),$ and verifying the bars selected can actually fit in the beam width. Sketch a section of your beam design.