Analysis of a beam column on elastic foundation

Abstract The analysis of beams on elastic Winkler foundation is very common in engineering. In many applications, transverse as well as axial forces exist. An exact analytical solution of a finite element beam column resting on a Winkler foundation is performed from which the exact stiffness terms are determined. The stiffness matrix is incorporated into a common beam program. Nodes are required only at points of discontinuity in stiffness, loading, or supports. Comparisons are made with case results appearing in literature.