A general analytical solution for lateral soil response of non-circular cross-sectional pile segment

摘要

This paper presents a general analytical solution for the two-dimensional laterally loaded non-circular cross-sectional pile segment-soil system based on the complex variable elasticity theory. By using the conformal mapping technique, the non-circular cross section of pile in the physical plane is mapped onto the unit circle in the phase plane. Then, using the complex variable theory developed by Muskhelishvili, the stress function, and hence the stress and displacement distributions of soil around the non-circular cross section dimension pile is readily derived. Subsequently, the analytical solution is used to determine the stiffness of two-dimensional pile-soil system. A series of closed form equations for the lateral stiffness of commonly used non-circular cross-sectional piles, such as square, rectangular, X-shaped cross-sectional piles, are derived through parametric studies. The proposed new analytical solution extends the classic elastic solution proposed by Baguelin et al. and it allows the shape effect of pile with arbitrary cross section to be considered. (C) 2019 Elsevier Inc. All rights reserved.