Q$2.$

a$.$ A square footing is shown in Figure $2.$ Determine the gross ultimate load, $Q_{\text{u}\text{l}\text{t}},$ that the footing can carry. Use Terzaghi's equation for general shear failure. Given: $=16k\frac{N}{m^3},{}_{\text{s}\text{a}\text{t}}=18\mathrm{.}9k\frac{N}{m^3},c^{\text{'}}=17k\frac{N}{m^3},{}^{\text{'}}=32,D_f=1\mathrm{.}2m,h=0\mathrm{.}9m,$ and $B=1\mathrm{.}75m.$

b$.$ If the water table in Problem $2$ drops down to $0\mathrm{.}5m$ below the foundation level, what would be the change in the factor of safety for the same gross allowable load?

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