Medium answer $(45$ pts$)$: Show all work. Clearly indicate your final answer. Start each problem on a

new page.

a$.$ The reinforced concrete flooring system in Figure $1$ supports a uniform surface pressure of $500$

psf$.$ Calculate the required shear capacity, positive bending moment capacity, and negative

bending moment capacity. Do not reduce shears at the supports.

b$.$ The T$-$beam in Figure $2$ is made with $4000$ psi concrete and Grade $60$ reinforcing steel. Calculate

its ultimate bending moment capacity $M_u$

c$.$ A beam of width $b=10$ in and effective depth $d=24$ in is made with $5000$ psi concrete and

reinforced with Grade $60$ steel. The beam includes #$4$ double$-$leg stirrups at a spacing $s=5$ in$.$

Calculate its ultimate shear capacity $V_u.$