Abstract

This paper describes the procedure and results of theoretical investigations into the beam-soil foundation interaction. Actual pressure versus soil settlement response is represented by a nonlinear Winkler-Pasternak relation. The resulting nonlinear governing differential equation is solved using Chebyshev polynomials. The iterative numerical procedure adopted to solve the resultant system of simultaneous equations is presented. The numerical results are plotted in the form of a chart and, for a range of values of non-dimensional parameters γ, Z and V, and load Q, they are compared with the available F.D.M. results and are found to be in good agreement.

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