An analysis is developed to determine the response of laterally loaded pileswith rectangular cross sections. Soil displacement fields compatible with therectangular shape of the pile cross section are assumed. The differential equationsgoverning the displacements of the pile-soil system are developed using energyprinciples. Closed-form solutions for lateral pile deflection and displacements withinthe soil mass can be obtained using the analysis. The input parameters needed for theanalysis are the pile geometry and the elastic constants of the soil and pile. The newanalysis allows insights into the lateral load response of square, rectangular andcircular piles and how they compare.
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