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Analytical solution for fixed-fixed anisotropic beam subjected to uniform load

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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.

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Authors and Affiliations

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

    Ding Hao-jiang  (丁皓江) (Professor) & Huang De-jin  (黄德进)

  2. Faculty of Engineering, Ningbo University, Ningbo, 315211, Zhejiang Province, P. R. China

    Huang De-jin  (黄德进)

  3. Department of Mechanics, Zhejiang University, Hangzhou, 310027, P. R. China

    Wang Hui-ming  (王惠明)

Authors
  1. Ding Hao-jiang  (丁皓江)
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  2. Huang De-jin  (黄德进)
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  3. Wang Hui-ming  (王惠明)
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Corresponding author

Correspondence to Ding Hao-jiang  (丁皓江).

Additional information

Contributed by DING Hao-jiang

Project supported by the National Natural Science Foundation of China (Nos.10472102 and 10432030)

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Ding, Hj., Huang, Dj. & Wang, Hm. Analytical solution for fixed-fixed anisotropic beam subjected to uniform load. Appl Math Mech 27, 1305–1310 (2006). https://doi.org/10.1007/s10483-006-1002-z

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  • DOI: https://doi.org/10.1007/s10483-006-1002-z

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Chinese Library Classification

2000 Mathematics Subject Classification

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