Problem $2.$ Fig B shows a T$-$beam cross section. Assume $f_c^{\text{'}}=4000,f_y=60$ksi.

$($a$)$ Calculate the factored nominal resistance moment.

$($b$)$ Check whether the code requirement for the minimum reinforcement is satisfied or not.

$($c$)$ Check whether the failure mode of the beam is tension controlled or not.

Fig A

Fig B