Analysis of the carrying capacity for tubes under oblique loading

[+] Author and Article Information
Wei Wang

Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China

Xinming Qiu

Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China

1Corresponding author.

ASME doi:10.1115/1.4038921 History: Received December 05, 2017; Revised January 07, 2018


In this study, the plastic deformation mechanism of a fully clamped beam under oblique loading at its free end is analyzed. Supposing the cross-sections are variable along the beam length, a characteristic length L*=Mp/ Np, defined as the ratio of fully plastic bending moment Mp divide fully compression force Np, is employed to estimate the load carrying capacity of each cross-section of the beam. By FE simulations of the conical tubes, it is validated that if the initial failure positon locates in the middle of the beam, it will not change with the total beam length. Then, based on the analytical analysis and FE simulation, a progressive deformation mechanism triggered by bending, notated as progressive bending, is proposed for the first time. From the optimization result of maximum loading force that the unit mass can withstand, the tubes with constant thickness are found to be better than tubes with graded thickness, when they are using as supporting structures. The multi-objective optimization for tubes with varying cross-sections under oblique loading with different angles. Then, two methods to improve the load carrying capacity of tubes are given: 1) to strengthen the weakest point of the tube, which is corresponding to the minimum load withstood; 2) to optimize the initial failure point, so as to produce repeated failure modes. Besides, it is found that the loading capacity of a tube will be best, if the critical loading force of all the cross-sections are equal.

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