a$)$ Per ACI code $318$ recommendations, design a rectangular column footing for a $16$ in $20$ in tied interior column that supports a service dead load of $200$kips and a live load of $160$kips. The column is reinforced with $8$#$8$ bars. The base of the footing is $5-0$ below grade. Assume the weight of the soil as $110lb\frac{s}{c}u.ft.$ and the allowable bearing capacity as $5000l\frac{b}{s}q.A.$ The specified concrete strength, $f_c=4500.$ for footing and $f_c=6000$ for the column, and grade $60$ksi steel as reinforcement.

$(15$ points$)$

b$)$ Draw a neat sketch showing the design details including dimensions and reinforcement provided.

$(5$ points$)$

c$)$ Verify development requirements and design dowel bars between column & footings per ACl code $318.$

$(10$ points$)$