Análise matricial preliminar de estruturas estaticamente indeterminadas por meio do método da flexibilidade: um estudo de caso envolvendo duas vigas hiperestáticas e a determinação completa dos seus deslocamentos, rotações e coeficientes de flexibilidade

Abstract

The aim of this paper is to describe the use of the Flexibility Method to solve two classical problems pertained by structural analysis knowledge area, in engineering context: the matrix analysis of framed structures. Two beams statically indeterminated are solved. There are three specific motivations to make a presentation of a complete solution for those problems, by this method. The first one is its pedagogic fashion. At graduation level in engineering, it is important to encourage the students to acquire perceptions about the relation existent between actions and deformations of a given framed structure under a given pattern loading. The deflections can be determined precisely and the redundant actions are known by hand work, spite to access directly the set of data localized at suitable tables of reference textbooks. We think that, in academic terms and for academic problems, the analyst must know the complete process to calculate them, precisely, without computers and reference tables. The second one is about the characteristic of Flexibility Method. With it, the analyst can choose alternative paths to implement the compatibility equations associated with the supports configurations. Then, he uses the superposition principle to calculate de deflections and rotations. The third one is that this method represents a good opportunity for the students to learn the basis for the Force Method, another one, so important in analysis of framed structures.