Assume the same pile is fully fixed into it's pile cap so it is fixed to rotate and free to

translate. Rather than driven into sand assume the pile is embedded in a clay soil with a

cohesion of $c=2000l\frac{b}{f}{t}^2$ and a horizontal soil modulus $K=32,000l\frac{b}{f}{t}^3,$ assume there

is no applied moment at the head of the pile so $M_g=0.$

a$.$ Calculate the load required to cause $0\mathrm{.}25$ inches of deflection using Broms

methods presented in $12\mathrm{.}19$ of your text.