Application of the Castigliano’s second theorem in the solution of statically indeterminate plane structures.

Abstract

The paper present is to analyze statically indeterminate plane structures, using the Castigliano’s second theorem and the “Theorem of Last Work” in the determination of the statically indeterminate constants. For this, we consider models of structures subjected to different loads where the boundary conditions in the external supports are defined, the statically indeterminate constants being determined as unknowns. Noteworthy are the analysis of the classical equations presented for Timoshenko S.P. e Young D.H. (1965) of the elastic theories in the development of the mathematical models. We use numerical simulation using the finite element program (FEA) Ansys , where we compare the numerical and
analytical results obtained by the equations of the present work.