A 12 -in. steel H-pile is driven $60 \mathrm{ft}$ into clay soil as follows: From the ground surface to a depth of $30 \mathrm{ft}$, the cohesion is 800 psf and the unit weight is $105 \mathrm{pcf}$; below $30 \mathrm{n}$, the cohesion $\mathrm{c}_z$ is 2,000 pof and the unit weight is 115 pef. Assume that the upper clay layer is normally consolidated and the deeper clay is overconsolidated. Use the $\alpha$-method to determine the axial capacity of the pile, using a factor of safety of 2.75. Compute the shaft capacity assuming that resistance is developed on the surface of the rectangle (12 in. square) that encloses the pile.