Footing Analysis

Given:

The $24"$ square concrete column carries $325k$ of dead load and $160k$ of live load. Soil bearing pressure for the site is $3,000$ psf at grade and the footing is to be placed $4\text{'}$ below grade. The concrete

strength is $3,000$ psi and the yield strength of the steel is $60$ksi. Specific weights for concrete and the soil are $150$ pcf and $120$ pcf respectively.

A ${15}^{\text{'}}15\text{'}24"$ thick footing, with $(14)$#$6$ bars evenly spaced, both ways, placed at $20"$ deep from the top of the footing has been specified for the column.

Find: Will the footing work? If not, in what mode or modes does the footing fail?