Comparative study of various beams under different loading using finite element method

Abstract

Beam is a horizontal structure element which can withstand the load by resisting the bending which use in various industrial application, architectural application, automobile application for supporting the loads and reliability. So it is very much essential to know property of beam and response of beam in various cases. In this article we studied some of the response of beam by
using finite element method (FEM) and MATLAB. By using boundary condition, results for Timoshenko beam and Euler-Bernoulli’s beam in different cases varies in stiffness matrix, mass matrix and graphs .According to old theory many assumption has been taken place which is different from the practical situation and new theory tells the practical one. By the finite element method beam can be analyzed very thoroughly. So that strength of beam can be manipulated and applied at the proper place. The comparison between the Timoshenko and Euler-Bernoulli beam has been studied here.