A simply supported beam with an interior exposure must span a $32-$foot opening and is limited in depth to $28$ inches for architectural reasons. The beam supports an unfactored dead load consisting of a $14-$foot$-$wide, $5-$inch$-$thick concrete slab that is made of lightweight concrete with a density of $120l\frac{b}{f}{t}^3$ and the beam is made with regular$-$weight concrete with a density of $150l\frac{b}{f}{t}^3,$ and must support an unfactored live load of $130l\frac{b}{f}{t}^2.$

You may assume $b=\frac{h}{2}$ and $d=h-3^{\text{'}\text{'}}$

Design the flexural reinforcement to carry the maximum moment applied to the beam.

Material strengths are $f_c^{\text{'}}=4$ksi and $f_y=60$ksi for stirrups and for flexural steel.

Draw a sketch of the beam cross section clearly showing bar locations, spacing and cover