Traçado computacional de linhas de influência para vigas

Abstract

Structural analysis is one of the main areas of civil engineering. It serves a main purpose predicting the behavior of structures subjected to loading conditions. A structure can be divided into elements. A beam is defined as a structural element designed for supporting loads applied perpendicularly to its longitudinal axis. This work follows the classic beam theory hypotheses and introduces the development, for computational implementation, of the stiffness method, intending to analyze and compare computationally three forms to draw influence lines for beams. The stiffness method is a systematic matrix structural analysis (MSA) which has an easy computational implementation. Influence lines are a graphic tool indispensable in designing of structures subjected to live loads on their extension. The software used for development of the computational code is the MATLAB, a program of simple mathematical manipulations of matrices and a very easy-to-use interactive environment.