a$)$ Design a simply supported prestressed rectangular beam. You may use charts to pick a size.

b$)$ Check the service stresses at the top and bottom of the beam at midspan.

c$)$ Check ultimate moment strength.

Given: wsD$=\mathrm{.}5$k$/$ft$,$ wL$=2\mathrm{.}5$k$/$ft$,$ L$=24\text{'},$ fc$\text{'}=5$ksi, f'CI $=3\mathrm{.}5$ksi, fPU$=270$ksi, fPY$=220$ksi, fPI$=189$ksi, fPE$=150$ksi