Kinematic stress resultants in inclined single piles subjected to propagating seismic waves: an analytical formulation

This paper presents an analytical model, based on the beam-on-dynamic Winkler foundation approach, for the evaluation of the kinematic stress resultants in single inclined piles sub-jected to the propagation of seismic waves. The Euler-Bernoulli beam model is adopted for the pile whereas analytical solutions available in literature for viscoelastic layers undergo-ing harmonic vibrations of a rigid disk are used for the soil. The coupled flexural and axial behaviour of the pile is governed by a system of partial differential equations, with the rele-vant boundary conditions, that is solved analytically in terms of exponential matrices. The solution for piles embedded in a homogeneous soil deposit is presented. Some applications, including comparisons of results with those obtained from rigorous boundary element formu-lations, demonstrate that the model, characterised by a very low computational effort, is able to accurately predict stress resultants in inclined piles subjected to seismic loading.