Problem $1$ A rectangular beam is simply supported over a $24-$ft span. In addition to its selfweight, the beam carries a superimposed service level $($unfactored$)$ dead load equal to $0\mathrm{.}5\frac{k}{f}t$ over its entire span, and a concentrated service level $($unfactored$)$ live load equal to $8$ kips at the midspan. Assume Gr$.60$ reinforcement and $f_c^{\text{'}}=5,500.$

$($a$)$ Does the beam meet ACI minimum reinforcement requirement?

$($b$)$ Do the provided reinforcing bars meet ACI maximum spacing requirement?

$($c$)$ Can the beam resist the applied loads?