| Analytical solution for fixed-end beam subjected to uniform load |
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| 作者姓名： | 丁皓江 黄德进 王惠明 |
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| 作者单位： | [1]Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China [2]Faculty of Engineering, Ningbo University, Ningbo 315211, China |
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| 摘 要： | 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.
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| 关 键 词： | 分析解 固定电子束 压力函数 边界条件 弹性力学 |
| 收稿时间： | 2005-06-17 |
| 修稿时间： | 2005-07-03 |
Analytical solution for fixed-end beam subjected to uniform load |
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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,2005,6(8):779-783. |
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| Authors: | Ding Hao-jiang Huang De-jin Wang Hui-ming |
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| Institution: | 1.Department of Civil Engineering,Zhejiang University,Hangzhou,China;2.Faculty of Engineering,Ningbo University,Ningbo,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. |
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| Keywords: | Analytical solution Fixed-end beam Stress Function |
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