Problem $2$: Consider a beam with a $12-$in$.$ width and an effective depth of $19\mathrm{.}5in.$ which has $3$ No$.7$ bars in the tension face. The concrete has $f_c^{\text{'}}=3000$ psi, and the steel has a minimum specified yield stress of $40,000$ psi. $($Hint: follow the example in the Lecture notes on Feb$-14)$

Draw this reinforced concrete beam section with all given dimensions and reinforcement.

Draw the strain distribution diagram, stress distribution diagram and internal forces diagram for the beam section corresponding to the moment strength limit state. For the stress distribution diagram, show the equivalent rectangular compressive stress block.

Find the cross$-$section area for No$.7$ reinforcing bar.

Based on the above diagrams, compute the nominal moment resistance $M_n.$ Please show the complete procedure.