Design a rectangular reinforced concrete beam

for a simple span of $32$ ft$.$ Uniform service loads

are $1\mathrm{.}5$ kips$/$ft dead load and $2\mathrm{.}0$ kips$/$ft live load.

The width of the beam is limited to $18$ in$.$ Use

f$$c $=3000$ psi and fy $=60,000$ psi. Sketch your design