Paper Title:
Exact Elasticity Solution for the Density Functionally Gradient Beam by Using Airy Stress Function
  Abstract

In this paper the problem of a density-functionally gradient beam subjected to uniform load is studied. Airy stress function methodology is used to obtain a set of analytical solutions for simply supported and clamped beams subjected to uniform load. A stress function in the form of polynomial is proposed and determined. The treatment for fixed-end boundary conditions is the same as that presented by Timoshenko and Goodier (1970). By this method all of the analytical plane-stress solutions can be obtained for a uniformly loaded isotropic beam with rectangular cross section under different types of classical boundary conditions.

  Info
Periodical
Chapter
Chapter 22: Metrology and Measurement
Edited by
Wu Fan
Pages
4669-4676
DOI
10.4028/www.scientific.net/AMM.110-116.4669
Citation
A. R. Daneshmehr, S. Momeni, M. R. Akhloumadi, "Exact Elasticity Solution for the Density Functionally Gradient Beam by Using Airy Stress Function", Applied Mechanics and Materials, Vols. 110-116, pp. 4669-4676, 2012
Online since
October 2011
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