Exact Elasticity Solution for the Density Functionally Gradient Beam by Using Airy Stress Function

Abstract:

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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.

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Periodical:

Edited by:

Wu Fan

Pages:

4669-4676

DOI:

10.4028/www.scientific.net/AMM.110-116.4669

Citation:

A. R. Daneshmehr et al., "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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$35.00

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