Abstract: This paper presents a numerical method of calculating the response of elastic pile subjected to the lateral and axial compressive loadings. A new C1 continuous two node pile element formulation, which is based on a displacement formulation, is developed by using the assumptions of conventional beam theory and Winkler elastic foundation. Based on the incremental form of the virtual work, the element stiffness matrix can be derived. The interaction between the pile and the surrounding soil is modeled as a EulerBernoulli beam with the distributed lateral springs. The proposed method simulates the laterally loaded pile response more accurately than that of the conventional discrete element model using elementend springs to represent the surrounding soils. A good agreement is obtained between the numerical results of the current element and the reference solutions. The proposed analytical methodology gives an exact solution at the nodes even for a coarse mesh.

Key words: Finite Element Method, Elastic Pile, Pile Elements, Winkler Foundations