Problem $3$:

The $T$ beam in the figure is cast monolithically with the slab, the slab thickness is $5$ in$.$ The beam clear span is $18$ ft $.$ The web width is $12$ in and d is determined to equal $20$ in $.$ the distance between the beam web is shown in the figure. Use fy $=50,000$ and $f^{\text{'}}c=3000.$ What is the design moment capacity for the shaded T$-$ beam in the figure below?

$($Conduct all the necessary chicks required by the ACI code$)$