Problem $2[40$ Points$].$ Design the necessary reinforcement for a RC rectangular section with $b=10$ in and $h=20$ in if it is subjected to an external factored moment of $M_u=163$kipft.

$f_c^{\text{'}}=4000($normal$-$weight concrete$)$ with ${}_1=0\mathrm{.}85$

$f_y=60,000$ psi $($Grade $60)$