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悬臂梁在轴向压力和横向力联合作用下的弯曲变形
Bending Deflection of a Cantilever Beam Subjected to Axial Pressure and Transverse Force

DOI: 10.12677/IJM.2022.111003, PP. 11-16

Keywords: 悬臂梁,轴向压力,横向力,小变形,大变形,挠曲线
Cantilever Beam
, Axial pressure, Transverse Force, Small Deflection, Large Deflection, Deflection Curve

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Abstract:

分别研究了等截面悬臂梁在轴向压力和横向力联合作用下的小变形和大变形弯曲问题,推导出了在小变形情形下的等截面悬臂梁在轴向压力和横向力联合作用下的挠曲线解析函数;建立了大变形情形下的等截面悬臂梁在轴向压力和横向力联合作用下的挠曲线数学模型及其计算这种挠曲线的方法。最后列举了两个计算实例。
The small bending deflection and large bending deflection of a cantilever beam with constant cross section subjected to axial pressure and transverse force are studied, respectively. The analytical function of small deflection curve of the beam is deduced. A mathematical model and a calculation method of large deflection curve of the beam are established. Finally, two calculation examples are given.

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