Analytical Solution for Fixed-Fixed Anisotropic Beam Subjected to Uniform Load

DING Hao-jiang; HUANG De-jin; WANG Hui-ming

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(10): 1144-1149

DING Hao-jiang, HUANG De-jin, WANG Hui-ming. Analytical Solution for Fixed-Fixed Anisotropic Beam Subjected to Uniform Load[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1144-1149.

Citation:

DING Hao-jiang, HUANG De-jin, WANG Hui-ming. Analytical Solution for Fixed-Fixed Anisotropic Beam Subjected to Uniform Load[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1144-1149.

Citation:

DING Hao-jiang, HUANG De-jin, WANG Hui-ming. Analytical Solution for Fixed-Fixed Anisotropic Beam Subjected to Uniform Load[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1144-1149.

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Analytical Solution for Fixed-Fixed Anisotropic Beam Subjected to Uniform Load

1.
Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China;

Received Date: 2005-09-30
Rev Recd Date: 2006-06-02
Publish Date: 2006-10-15

Abstract

Abstract

The analytical solutions of the stresses and displacements were obtained for fixed-fixed anisotropic beams subjected to uniform load. A stress function involving unknown coefficients was constructed, and the general expressions of stress and displacement were obtained by means of Airy stress function method. Two types of the description for the fixed end boundary condition were considered. The introduced unknown coefficients in stress function were determined by using the boundary conditions. The analytical solutions for stresses and displacements were finally obtained. Numerical tests show that the analytical solutions agree with the FEM results. The analytical solution supplies a classical example for the elasticity theory.
- fixed-fixed beam,
- anisotropy,
- stress function,
- analytical solution

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References(6)

References

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