A footing supports a $3$ ft x $2$ ft column load of $650$ kips $($dead load$)$ and $250$ kips $($live load$)$ at ground surface. The foundation level is $5$ ft below the ground surface. The gross allowable bearing capacity is $6$ ksf$.$ The unit of soil is $130$ pcf$.$ You are required to provide complete

design calculations for bearing, shear, and flexure for the footing: Bearing, One way shear, Two$-$way shear, Flexure, Check for minimum steel requirement and Check for section ductility.

$($Assume fc$\text{'}=4$ ksi, fy $=60$ ksi$)$