Abstract: Solutions for displacements due to load in the interior of a layered soil are derived by solving the governing equations for axisymmetric elastic medium through Hankel transforms and the propagator matrices method. A numerical procedure is presented for the settlement analysis of single pile in a layered soil by applying the solution obtained. Extensive comparison has been made with the classical solutions of Poulos, Randolph and Wroth, Rajapakse. The figures and tables which are useful to the engineering practices are given at the end of the paper.