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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2005, Vol. 6 Issue (8): 779-783    DOI: 10.1631/jzus.2005.A0779
Science Letters     
Analytical solution for fixed-end beam subjected to uniform load
DING Hao-jiang, HUANG De-jin, WANG Hui-ming
Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China; Faculty of Engineering, Ningbo University, Ningbo 315211, China
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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.

Key words： Analytical solution      Fixed-end beam      Stress Function     
Received: 17 June 2005     
CLC:  O343.1  
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DING Hao-jiang
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DING Hao-jiang, HUANG De-jin, WANG Hui-ming. Analytical solution for fixed-end beam subjected to uniform load. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6(8): 779-783.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2005.A0779     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2005/V6/I8/779

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