Problem $3[35$ points$]$

For a $10-$story building $(9$ floor level $-8^{\text{'}\text{'}}$ thick concrete slab and $1$ roof level $-{10}^{\text{'}\text{'}}$ thick slab$)$ and assuming that soil bearing capacity is $3TSF$ and $f^{\text{'}}c=5000$ and fy $=60,000.$ Use concrete density of $150psf,SDL=20psf$ and $LL=40psf$ for floor level, $SDL=30$ and $LL=100psf$ for roof level.

A$)$ Design a square column for $12"$x $24"$ interior concrete column $(10\text{'}$ clear$-$to$-$clear per floor$)$ that has a uniform tributary area of $175$ square foot per floor. $[10$ pts$]$

B$)$ Design the rectangular shape column footing $-$ Note that square column is not feasible option per site condition $[20$ pts$]$; Calculate development length and sketch for footing details $[5$ pts$]$