| 轴力和弯矩作用下矩形梁几何中轴的曲率方程及应用 |
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| 引用本文： | 周丽军,郭建刚,曹天捷,蔡中民,张善元. 轴力和弯矩作用下矩形梁几何中轴的曲率方程及应用[J]. 太原理工大学学报, 2002, 33(5): 561-565 |
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| 作者姓名： | 周丽军 郭建刚 曹天捷 蔡中民 张善元 |
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| 作者单位： | 太原理工大学应用力学研究所 |
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| 摘 要： | 推导了理想弹塑性矩形横截面梁，在轴力和变矩联合作用下，几何中轴在完全弹性状态、单侧塑性状态及双侧塑性状态下的曲率方程，并将其应用于悬臂梁的变形及各极限载荷分析，从而为确定梁截面上任意点的位移提供了方便。
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| 关 键 词： | 轴力 弯矩 矩形梁 几何中轴 悬臂梁 塑性铰 理想弹塑性材料 位移方程 曲率方程 |
| 文章编号： | 1007-9432(2002)05-0561-05 |
| 修稿时间： | 2001-11-26 |
The Geometrical Mid-axial Curvature Equation and Its Application of Rectangle-section Beam Subjected to an Axial Force and a Moment |
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| Zhou Lijun,Guo Jiangang,Cao Tianjie,Cai Zhongmin,Zhang Shanyuan. The Geometrical Mid-axial Curvature Equation and Its Application of Rectangle-section Beam Subjected to an Axial Force and a Moment[J]. Journal of Taiyuan University of Technology, 2002, 33(5): 561-565 |
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| Authors: | Zhou Lijun Guo Jiangang Cao Tianjie Cai Zhongmin Zhang Shanyuan |
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| Affiliation: | Institute of Applied Mechanics of TUT |
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| Abstract: | This paper derives the curvature equations of geometric mid axis of an perfectly elastic plastic rectangle section beam for three states: elastic, single side plastic and both side plastic. And the equations are applied to analyse the deformation and limit loads of a cantilever. |
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| Keywords: | cantilever plastic hinge perfectly elastic plastic material deflection equation curvature equation. |
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