Problem $10\mathrm{.}17$ Consider a soil deposit with $d\frac{s_u}{d}{}_v^{\text{'}}=0\mathrm{.}3,{}_b=10k\frac{N}{m^3},$ and water table at the surface. A $2m$ square footing is located at a depth of $0\mathrm{.}75m,$ as shown in P$-$Figure $10\mathrm{.}2.$ The undrained shear strength $s_{u0}$ is equal to $30$kPa down to a depth of $3m.$ It increases linearly with depth from $3m$ down. What is the limit bearing capacity of this footing? Use Equations $(10\mathrm{.}25)$ and $(10\mathrm{.}26)$ for the shape and depth factors.

Figure $10\mathrm{.}2$ Footing and soil profile for Problem $10\mathrm{.}17.$