Problem $2(50$ pts$.)$

A reinforced concrete beam is simply supported over a span of $18$ ft $.$ The beam width is $12$

inches. The beam is supposed to carry a uniformly distributed service dead load of $1\mathrm{.}8\frac{k}{f}t$ and a

uniformly distributed service live load of $1\mathrm{.}2\frac{k}{f}t$ over its entire span. The dead load includes an

allowance for the beam weight. Assume $60-$ ksi steel and $4,000-$psi concrete.

Use the design equations to determine the minimum required effective depth $($d$).$

Select the tensile reinforcement and draw a typical section in the beam showing all

relevant dimensions and required rebars.