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本文将平面刚架的逐步弹塑性分析的方法[1]推广到双悬臂梁,找出了这个梁系破坏时各个塑性铰先后出现的次序,从而得到它的破坏机构的正确形式。因此,所得的极限破坏载荷是精确解。这个方法是基于下限定理,比一般基于上限定理的方法要简便[1、2、3]。本文还对这个梁系进行了极限破坏载荷的试验,试验观察各个塑性铰出现的次序是符合理论分析的。极限破坏载荷的理论计算和实验结果相差7.2%。这个方法可推广到一般交叉梁的极限分析,并适宜作极限破坏载荷的近似计算。
In this paper, the elasto-plastic analysis method [1] of the plane rigid frame is extended to the double cantilever beam, and the order in which the various plastic hinges appear successively when the beam system is destroyed is found, and the correct form of its destruction mechanism is obtained. Therefore, the resulting ultimate failure load is an exact solution. This method is based on the lower limit theorem, which is simpler than the general method based on the upper limit theorem [1, 2, 3]. This article also carried out the ultimate failure load test of this beam system. The observation of the order of appearance of each plastic hinge is in accordance with theoretical analysis. The theoretical calculation of the ultimate failure load and the experimental results differ by 7.2%. This method can be generalized to the limit analysis of general cross beams and is suitable for the approximate calculation of ultimate failure loads.