| 梁的载荷、内力微分关系推导方法的改进 |
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| 引用本文： | 苏少卿,孟益平,王肖钧.梁的载荷、内力微分关系推导方法的改进[J].力学与实践,2011,33(2):84-85. |
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| 作者姓名： | 苏少卿 孟益平 王肖钧 |
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| 作者单位： | 1. 安徽建筑工业学院;2. School of Civil Engineering, Hefei University of Technology;3. 中国科学技术大学; |
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| 摘 要： | 在推导梁截面上的剪力、弯矩与分布载荷集度之间的关系时, 流行的《材料力学》教材
采用的推导过程在数学上失于严密. 根据导数定义和洛必达(L'Hospital)法则(或积分中
值定理)给出了逻辑严密的推导.
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| 关 键 词： | 载荷集度、剪力和弯矩间的关系 积分中值定理 导数 洛必达法则 |
| 收稿时间： | 2010-01-18 |
An improvement on the derivation of relationships between loads, shear forces, and bending moments in beams |
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| SU Shaoqing
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MENG Yiping
,
WANG Xiaojun.An improvement on the derivation of relationships between loads, shear forces, and bending moments in beams[J].Mechanics and Engineering,2011,33(2):84-85. |
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| Authors: | SU Shaoqing MENG Yiping WANG Xiaojun |
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| Abstract: | The derivation of the relationships between loads, shear forces, and bending moments in beams in current textbooks was not exact. Based on the definition of differential and the L'Hospital rule (or the mean value theorem of integrals), the complete demonstration of above-mentioned relationships was presented in this paper. |
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| Keywords: | relationships between loads shear forces and bending moments the mean value theorem of integrals derivative the LHospital rule |
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