In a slab beam system, the effective flange width was determined to be $48$ in$,.$ the web width was $16$ in$.$ and the slab thickness was $4$ in$.$ If the effectiveness depth is chosen as $23$ in$.,$ calculate the area of steel for this T section to resist an external factored moment of Mu $=820$ k$-$ft$.$ Given f$\text{'}$c $=4000$ psi; normal weight concrete and fy $=60000$ psi.