| Internal Force Analysis Due to the Supporting Translation in Statically Indeterminate Structures for Different Elastic Modulus |
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| 作者姓名： | 姚文娟 叶志明 |
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| 作者单位： | [1]DepartmentofCivilEngineering,ShanghaiUniversity,Shanghai200072,P.R.China [2]ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,P.R.China |
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| 摘 要： | For statically indeterminate structure, the internal force will be changed with the translation of the supports, because the internal force is related to the absolute value of the stiffness EI. When the tension is different with the compression modulus, EI is the function of internal force and is not constant any more that is different from classic mechanics. In the other words, it is a nonlinear problem to calculate the internal force. The expression for neutral axis of the statically indeterminate structure was derived in the paper. The iterative program for nonlinear internal force was compiled. One case study was presented to illustrate the difference between the results using the different modulus theory and the single modulus theory as in classical mechanics. Finally, some reasonable suggestions were made for the different modulus structures.
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| 关 键 词： | 微分模量 超静定结构 支撑转移 非线性内力分析 弹性模量 张力 压缩 |
| 收稿时间： | 10 December 2003 |
Internal force analysis due to the supporting translation in statically indeterminate structures for different elastic modulus |
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| Yao?Wen-juan,Ye?Zhi-ming?D..Internal Force Analysis Due to the Supporting Translation in Statically Indeterminate Structures for Different Elastic Modulus[J].Journal of Shanghai University(English Edition),2004,8(3):274-280. |
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| Authors: | Yao Wen-juan Ye Zhi-ming D |
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| Institution: | (1) Department of Civil Engineering, Shanghai University, 200072 Shanghai, P.R. China;(2) Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072 Shanghai, P.R. China |
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| Abstract: | For statically indeterminate structure, the internal force will be changed with the translation of the supports, because the internal force is related to the absolute value of the stiffness EI. When the tension is different with the compression modulus, EI is the function of internal force and is not constant any more that is different from classic mechanics. In the other words, it is a nonlinear problem to calculate the internal force. The expression for neutral axis of the statically indeterminate structure was derived in the paper. The iterative program for nonlinear internal force was compiled. One case study was presented to illustrate the difference between the results using the different modulus theory and the single modulus theory as in classical mechanics. Finally, some reasonable suggestions were made for the different modulus structures. |
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| Keywords: | different moduli in tension and compression statically indeterminate structure translation of support nonlinear internal force iteration |
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