Static Analysis of a Functionally Graded Beam under a Uniformly Distributed Load by Ritz Method

Year 2009, Volume: 1 Issue: 3, 1 - 11, 01.09.2009

M. Şimşek

Abstract

Static analysis of a functionally graded (FG) simply-supported beam subjected to a uniformly distributed load has been investigated by using Ritz method within the framework of Timoshenko and the higher order shear deformation beam theories. The material properties of the beam vary continuously in the thickness direction according to the power-law form. Trial functions denoting the transverse, the axial deflections and the rotation of the cross-sections of the beam are expressed in trigonometric functions. In this study, the effect of various material distributions on the displacements and the stresses of the beam are examined. Numerical results indicate that stress distributions in FG beams are very different from those in isotropic beams

Keywords

Beams, functionally graded materials, Timoshenko beam theory, the higher order shear deformation theory, Ritz method

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