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CLC number: O343.1

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Received: 2005-06-17

Revision Accepted: 2005-07-03

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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.8 P.779-783


Analytical solution for fixed-end beam subjected to uniform load

Author(s):  DING Hao-jiang, HUANG De-jin, WANG Hui-ming

Affiliation(s):  Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   dinghj@zju.edu.cn

Key Words:  Analytical solution, Fixed-end beam, Stress Function

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DING Hao-jiang, HUANG De-jin, WANG Hui-ming. Analytical solution for fixed-end beam subjected to uniform load[J]. Journal of Zhejiang University Science A, 2005, 6(8): 779-783.

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A bi-harmonic stress Function is constructed in this work. Ariy stress Function methodology is used to obtain a set of analytical solutions for both ends fixed beams subjected to uniform load. The treatment for fixed-end boundary conditions is the same as that presented by Timoshenko and Goodier (1970). The solutions for propped cantilever beams and cantilever beams are also presented. 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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1] Ahmed, S.R., Idris, B.M., Uddin, M.W., 1996. Numerical solution of both ends fixed deep beams. Computer & Structures, 61(1):21-29.

[2] Gere, J.M., Timoshenko, S.P., 1984. Mechanics of Materials. PWS-KENT Publishing Company, Boston.

[3] Jiang, A.M., Ding, H.J., 2005. The analytical solutions for orthotropic cantilever beams (I): Subjected to surfaceforces. Journal of Zhejinag University SCIENCE, 6A(2):126-131.

[4] Lekhnitskii, S.G., 1968. Anisotropic Plate. Gordon and Breach, New York.

[5] Timoshenko, S.P., Goodier, J.N., 1970. Theory of Elasticity, 3rd Edition. McGraw Hill, New York.

Open peer comments: Debate/Discuss/Question/Opinion


G Varun Bharadwaj@IIT Madras<me13b034@smail.iitm.ac.in>

2016-11-03 17:03:41

Want to learn about this paper

Naser Al-Huniti@The University of Jordan<alhuniti@ju.edu.jo>

2016-10-25 02:43:11

Please send me a full copy of the article.


kan qin@UQ<jasonqk@hotmail.com>

2014-11-21 15:41:49

looks interesting


2014-09-02 19:59:46

I am very interesting about this work.

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