Problem $2.$

A reinforced concrete beam monolithically built with the floor slab has the following properties: Width of the flange $=35in,$ width of the web $=9in,$ effective depth $=16in,$ slab thickness $=2\mathrm{.}5in,$ length of span $=24ft,$ tension reinforcement $=6$ bars of size #$9,$ compressive strength of concrete $=4000,$ yield stress of steel in flexure $=60000.$

$($a$)$ Determine whether the beam acts like a T$-$beam or a rectangular beam.

$($b$)$ Calculate the factored nominal moment capacity of the beam cross section.