A simply supported beam with an interior exposure must span a $30$ foot opening and is limited in depth to $30$ inches for architectural reasons. The beam supports an unfactored dead load consisting of a $16$ foot wide $9$ inch thick concrete slab that is made of normal weight concrete with a density of $150l\frac{b}{c}f$ and must support an unfactored live load of $100l\frac{b}{s}f.$ You may assume $b=\frac{h}{2}$ and $d=h-4^{\text{'}\text{'}}$

Design the flexural reinforcement to carry the moment and the shear reinforcement to resist the shear for the beam. Use #$3$ U $-$ shaped stirrups and utilize $2$ spacings for the shear design.

Material strengths are $f_c^c=4$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 and a stirrup schedule showing the location and number of stirrups along the length of the beam.