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BEARING CAPACITY OF THE COMPRESSION BAR WITH INITIAL DEFLECTION UNDER AXIAL UNIFORMLY DISTRIBUTED LOADS |
DUAN Shu-Jin1, MA Xiao2 |
1 School of Civil Engineering, Shijiazhuang Railway Institute; 2Hebei Normal University |
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Abstract Lattice form assembled structure has rather large initial geometric deflection that brings influence to its structural mechanical proprieties. The linear elastic theory can be used as a basis to judge the safety of perfect slender bar. But the critical load of lattice column obtaining from linear stability analysis is generally high. The corresponding critical stress is usually higher than the ultimate strength of material. So the critical force of linear buckling theory is not suitable to be as the safety design standard of such engineering structures. A compression bar bearing axial uniformly distributed load (containing self-weight) is studied in this paper. Considering the initial geometric deflection, the deflected curve is got by power-series solution. Furthermore, the theoretical ultimate load is obtained based on the yielding criterion of the cross-sectional edge stresses. The obtained bearing capacity is lower than the critical load by the linear stability theory for the engineering structures in practice so that the present work can be as the basic theory to the structural safety designs.
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Received: 10 June 2005
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