$2.$ A $4$ ft by $4$ ft footing is supported on soil with a bearing capacity, pb $<3000$ psf$.$

Determine the maximum column load, Pu and moment, Mu that can be supported by the footing given the following eccentricities:

a$)$

i$.$ e $=0\mathrm{.}5$ ft

ii$.$ e $=1\mathrm{.}0$ ft

b$)$ Draw a sketch of the footing for each eccentricity, showing:

iii. Pressure distribution on the bottom of the footing

iv$.$ Location of resultant of the pressure distribution