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ELASTIC-PLASTIC STABILITY OF THE STEEL ROD 45 UNDER COMBINED LOADING

DOI: 10.46573/2658-7459-2021-4-56-65

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Authors

S.V. Cheremnykh

Abstract

The problem of bifurcation of a pivotally supported rod under simple combined subcritical loading is solved, taking into account the elastic and elastic-plastic stages of material deformation. Let us consider the behavior of a rectilinear rod in a certain elastic-plastic system exposed to external forces in the plane of the deviator space of deformations of A.A. Ilyushin Э Э 1 3  . The obtained graphs show that the loss of stability of the rod develops very slowly during the growth of the load and in practice it is difficult to notice it. Calculated formulas for the critical load are obtained. It is shown that, depending on the operating conditions of the rod in the structure, the critical load can be any of the range from the relative-modular Engesser value to the Euler value, excluding the Euler value itself, which is achieved only by an elastic rod.

Keywords

rod, combined loading, bifurcation, deflection, tangential-modular theory, reduced-modular theory