Elastic-plastic failure loads of plane frames
Elastic-plastic failure loads of plane frames
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平面框架的弹塑性破坏载荷
DOI：
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发表时间：
1963
期刊：
影响因子：
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通讯作者：
M. Horne
中科院分区：
文献类型：
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作者：
M. Horne
当变形变为有限时，在比例荷载作用下平面框架产生刚塑性变形所需的荷载系数不同于简单塑性理论给出的倒塌时的荷载系数。研究了涉及杆件转动平方的所有功项的影响，并导出了一个简单的公式。然后研究了有限变形对弹塑性框架承载力的影响。从理论上表明，如果进行某些近似，则基于刚塑性破坏荷载和最低临界荷载的兰金©荷载，给出了这种结构的实际破坏荷载的接近估计。为得出这一结果而进行的近似的性质表明，在何种情况下，朗肯载荷不能提供对失效的精确估计。实验和理论结果说明的相关程度和讨论。
When deformations become finite, the load factor required to produce rigid-plastic deformation of a plane frame under proportional loading differs from the load factor at collapse as given by simple plastic theory. The effect of all work terms involving the squares of member rotations is investigated and a simple formula derived. The effect of finite deformations on the load capacities of elastic-plastic frames is then studied. It is shown theoretically that, if certain approximations are made, the Rankin© load, based on the rigid-plastic failure load and the lowest critical load, give a close estimate of the actual failure load of such a structure. The nature of the approximations made to arrive at this result shows under what circumstances the Rankine load cannot be expected to provide a close estimate of failure. Experimental and theoretical results illustrating the degree of correlation are presented and discussed.