Non-linear Analysis of Laterally Loaded Piles Using "p-y" Curves
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ORIGINAL PAPER
Non-linear Analysis of Laterally Loaded Piles Using ‘‘p-y’’ Curves E. G. Psaroudakis
. G. E. Mylonakis
. N. S. Klimis
Received: 5 February 2020 / Accepted: 18 September 2020 Springer Nature Switzerland AG 2020
Abstract In this paper, we analyze the behavior of a monopile under lateral loading. Specifically, this work focuses on the examination of the static stiffness coefficients of a monopile vertically embedded in a homogeneous or multilayer soil of random geometry and random mechanical properties. To solve the problem, a semi-analytical, closed form solution is developed, based on Winkler’s theory. In this model, simulation of the mechanical behavior of the soil is achieved via non-linear ‘‘p-y’’ springs positioned along the axis of the pile, in conjunction with shape functions which describe the lateral movement of the pile. By iterative application of the proposed method the lateral stiffness coefficients at the pile head are calculated with satisfactory accuracy. The results of the proposed method converge satisfactory enough
E. G. Psaroudakis (&) Department of Civil Engineering, Democritus University of Thrace (DUTh), Thermopilon 45, P.K.:54248 Thessaloniki, Greece e-mail: [email protected] G. E. Mylonakis University of Bristol, Queen’s Building, University Walk, Clifton, Bristol BS8 1TR, UK e-mail: [email protected] N. S. Klimis Department of Civil Engineering, Democritus University of Thrace (DUTh), Building B’, University Campus of Xanthi - Kimmeria, 67100 Xanthi, Greece e-mail: [email protected]
with real data and other theoretical results coming from sophisticated numerical analysis methods. Keywords Single pile Lateral loading ‘‘p-y’’ Curves Winkler’s theory
1 Introduction The most simple and popular approach to the mechanical behavior of laterally loaded piles, is the Winkler model. According to that theory, the interaction between soil and pile takes place via springs placed along the axis of the pile. The force of each spring corresponds to the soil reaction at a specific depth. This model, albeit approximate, is widely used and provides satisfactory results, comparable to more precise methods, such as finite or boundary elements. It has to be noted that lately, a simplified method based on this model was used for the analysis of laterally loaded piles in sloping ground (Yin et al. 2018). The assumption of linear elastic homogeneous soil is often an oversimplification of reality. Conversely, for inhomogeneous profiles it is rather difficult to come up with precise solutions, even when using this simplified theory. Subsequently, a simple semi-analytical method is developed, based on the Euler–Bernoulli beam model, enhanced by non-linear Winkler springs. The model is
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used in conjunction with the principle of virtual work and suitable shape functions, which describe the elastic line of a pile under arbitrary force-moment or displacement-rotation pairs at the pile head.
2 Problem Des
Data Loading...
