Nonlinear analysis of finite-length beams on Winkler foundation with horizontal resistance

Based on the Winkler elastic foundation model and considering the interface resistance between the beam and the foundation soil, a deformation-coupling governing differential equation was formulated. The corresponding nonlinear analytical solutions, using the Galerkin method, for the internal force and the deformation of the finite-length beam under symmetric loads were presented. The traditional design method for the Winkler elastic foundation and the existing results of finite element analyses were employed to verify the proposed method. The influence of the interface resistance on the behavior of the foundation beam was investigated, and the results illustrated that the larger the horizontal resistance is, the greater its effects on the vertical deformation, the shearing force and the bending moment of the foundation beam are, and thus the effect of the horizontal resistance on the behavior of the beam should be considered in design.