CLC number: O343.1
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 0000-00-00
Cited: 4
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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.
@article{title="Analytical solution for fixed-end beam subjected to uniform load",
author="DING Hao-jiang, HUANG De-jin, WANG Hui-ming",
journal="Journal of Zhejiang University Science A",
volume="6",
number="8",
pages="779-783",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0779"
}
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A1 - WANG Hui-ming
J0 - Journal of Zhejiang University Science A
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.A0779
Abstract: 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.
[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
<1>
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.
Thanks,,,,
kan qin@UQ<jasonqk@hotmail.com>
2014-11-21 15:41:49
looks interesting
szabó@prof<szabo@mm.bme.hu>
2014-09-02 19:59:46
I am very interesting about this work.