Problem $3(40\%)$

A four$-$span one$-$way slab is supported by $12$ in wide beams with a center$-$to$-$center spacing of beams equal to $14,16,16$ and $14ft.$ The slab carries a superimposed dead load of $20psf$ and a live load of $150psf.$ Design the slab assuming $f_c^{\text{'}}=3,000$ and $f_y=60$ksi. Use the LRFD load combination $1\mathrm{.}2D+1\mathrm{.}6L$ for your design, considering a concrete self$-$weight of $150pcf.$

Draw a cross section showing the reinforcement, selecting bar cutoff points per the figure below:

Source: Reinforced Concrete: Mechanics and Design, James MacGregor.