Analytical Solution for Axially Loaded Piles in Two-Layer Soil
Publication: Journal of Engineering Mechanics
Volume 146, Issue 3
Abstract
An analytical elastic continuum model is developed for the settlement of end-bearing piles in a two-layer soil over a rigid stratum. The model has its roots in the point-load solution of Westergaard, which was later extended by Tajimi to deep foundations and lies on the assumption of a vanishing soil stress or displacement component. For piles in homogeneous soils, such solutions were elaborated on by Nogami and Novak. Contrary to these solutions, the proposed generalized formulation can handle layered soils using, for the first time, two sets of eigenfunctions (static “modes”) that are different for the soil and the pile. Stresses and displacements are determined in the form of Fourier series with coupled coefficients obtained by solving a system of algebraic equations of rank equal to the number of modes considered. This is in contrast with existing models, where the Fourier coefficients are obtained individually. Pile-head stiffnesses obtained from this model are verified against results from rigorous finite-element analyses and other solutions. Results for pile settlement, pile stresses, side friction, and Winkler moduli are presented.
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Published In
Journal of Engineering Mechanics
Volume 146 • Issue 3 • March 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Aug 10, 2018
Accepted: Jul 18, 2019
Published online: Jan 10, 2020
Published in print: Mar 1, 2020
Discussion open until: Jun 10, 2020
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