A $600$ mm diameter and $25$ m long driven concrete pile carries a column load of $1200$ kN $.$ It is estimated that the shaft carries $900$ kN and the point carries $300$ kN $.$ Determine the settlement of the pile head using the Vesic's method, assuming that the skin friction is distributed uniformly along the shaft. Given, $E_s=25M\frac{N}{m^2},E_p=30,000M\frac{N}{m^2},$ and ${}_s=0\mathrm{.}2.$