A simply supported normal weight concrete slab spanning $20ft$ is supporting superimposed service

dead load of $35psf($not including slab weight$)$ and service live load of $65psf.$ Using

#$5$ bars

Clear concrete cover $=1$ in

Slab thickness $=6$ in

$f_c=4\mathrm{.}5$ksi

$f_y=60$ksi

a$)(15$ points$)$ Design the slab for flexure per ACI code meeting all related requirements.

b$)(10$ points$)$ Calculate short$-$term, long$-$term $(10$ years$),$ and total deflections.