"A rectangular reinforced concrete beam is to be designed to carry a distributed dead

load of $2\mathrm{.}50$ kips$/$ft$,$ including the self$-$weight of the beam, and a distributed live load

of $2\mathrm{.}00$kip$\frac{s}{f}t.$ In addition to the distributed loads above, there are $5-$kip point live

loads, located at the midspan and beam quarter points $($three $[3]$ point loads total$).$ All

loads should be considered as service loads and the beam is $16-$feet long $($simple span$).$

The beam width, $b,$ is $14in.$ and the total height, $h,$ is $28in.$ Assume a cover distance

of $3$ in$.($i$.$e$.,$ distance from the bottom face of the beam to the center of the tensile

reinforcement$).$ Design the flexural reinforcement for the section. Use #$9$ bars for your

longitudinal reinforcement. Use $f_c^{\text{'}}=4,000$ psi and $f_y=60,000$ psi."

Determine what the stirrup spacing should be at the critical section. Assume #$4$ stirrups

are used. Use $f_c^{\text{'}}=4,000$ and $f_y=60,000.$ You are allowed to use the structural

analysis from the midterm exam solution. $(25$ pts$.)$