$3.$ The footing shown below will support a bridge abutment and therefore will be subjected to a combination of an axial load $($ P $),$ lateral load $($V$),$ and overturning moment $($M$).$ The design loads have already been calculated and are shown at the bottom of the footing at the location of the centroidal axis of the bearing area. Note that the length of the footing is much larger than the width of $9$ ft and therefore can be treated as a continuous footing. Therefore, the loads shown are per foot out of the page. $($a$)$ Verify that the footing will not lift on one side. $($b$)$ Calculate the allowable bearing capacity assuming a factor of safety of $3.$