A $70$ foot long $14-$inch diameter closed ended pile is driven into a sand deposit and

subjected to $115$kips of axial force. $79$kips are taken up by the frictional resistance with the

remainder resisted in end bearing in the sand. The modulus of the pile $E_p=3,050,000psf$

and the modulus of the soil $E_s=3600$ psf and Poisons ratio $=0\mathrm{.}35,=0\mathrm{.}6.$ Find the

settlement of the pile $s_{e1},s_{e2},s_{e3}$ using Vesic's method.