DefinePK

Abstract

A local analysis of a foundation, based on Winkler's theory, was performed, in which a foundation line is idealized as a beam supported on uniformly distributed elastic supports. The deformability of the soil is represented by deformable supports idealized as displacement springs, and its stiffness constants depend on both the ground and the foundation used. A method was implemented in which the foundation is idealized as a beam, but unlike the Winkler Theory, the separation (loss of contact) between the ground and the foundation was allowed when normal tensile forces on the foundation were developed, and the interaction of the soil laterally (interaction between the springs) was added. These analyzes were proposed by means of matrix stiffness methods using the formulation of the beam-column element and considerations of the Winkler and Akin theory, implementing a case study in Maxima (GNU) which is contrasted with models performed in the finite element software, SAP2000 and Ansys, to validate the results. Finally, the results were compared, and the percentage change was established to conclude that it is possible to perform a realistic model of the structural problem of a foundation on elastic basis using matrix stiffness methods based on the beam-column element and the interaction of contact between the two elastic elements.