| 积分中值定理在力学中的应用 |
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| 引用本文： | 尹德生 葛玮珉. 积分中值定理在力学中的应用[J]. 吉林建筑工程学院学报, 1997, 0(4): 37-42 |
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| 作者姓名： | 尹德生 葛玮珉 |
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| 作者单位： | 吉林建筑工程学院基础部(尹德生)，吉林建筑工程学院基础部(葛玮珉) |
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| 摘 要： | 本文应用一元函数及多元函数的积分中值定理，严格地证明了固体力学中梁的弯矩、剪力与荷载集度之间的微分关系；矩形截面梁剪应力计算公式以及弹性力学中平面问题的平衡微分方程。
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| 关 键 词： | 积分中值定理 剪应力 平衡微分方程 固体力学 |
Some Applications of Intergral Mid-Value Theorem in Mechamics |
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| Yin Desheng,Ge Weimin. Some Applications of Intergral Mid-Value Theorem in Mechamics[J]. Journal of Jilin Architectural and Civil Engineering, 1997, 0(4): 37-42 |
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| Authors: | Yin Desheng Ge Weimin |
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| Affiliation: | Busic Courses Department |
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| Abstract: | The ralations of beam bending moment, shearing force and distributed load, and the calculating formula of shearing stresses in rectangular section beams, and equi-librium differential equation of plane problems in elasticity are strictly proved, by means of intergral mid-value theorem in this paper. |
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| Keywords: | intergral mid-value theorem shearing stresses equilibrium differential equation |
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