Aplicación del Método de Galkerin al análisis de la estabilidad del equilibrio elástico de las columnas

Abstract

The estimation of the critical load that can produce buckling in columns-type elements, is of primarily importance, since it can origin structural collapse. In this work, the beam model of Euler-Bernoulli has been adopted to analyze the problem, and variable cross section and elastic support in the direction of the element, are included.

At first it is derived a weak formulation problem, and afterwards, the Galerkin Method is applied to calculate the critical loads. The adoption of spaces of finite dimension polynomials made possible to handle the solution of different load cases as well as different support conditions.