$4$ Designa rectangular beam for a $22-$ft simple span if a dead load of $1\mathrm{.}5\frac{k}{f}t($including the beam weight$)$ and alive load of $2\frac{k}{f}t$ are to be supported. Use $fc=4000$ and $fy=60,000.$ Draw also the cross section of beam with reinforcement detail.

$[15$ Marls$]$