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2018

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Тhe study of attenuation of the shear stresses in a straight rod near the point of load application

  • A.G. Paushkin, Cand. tech. Sci., Associate Professor;
  • S.G. Saiyan, student of IEUIS III Moscow State University Of Civil Engineering (National Research University)

Abstract. The investigation of shearing stresses in a straight rigidly restrained rod loaded by point forces. Accepted in engineering calculations the assumption that the perturbation of the stress state decays at a distance of one transverse dimension of the rod from the point of application of load was confirmed by the number of tasks of the finite element method using the package LIRA­SAPR. The method of refinement of the stress state close to the place of application of loads by applying self­equilibrated functions was proposed. Numerical experiments have led to the generalization of the principle of Saint­Venant. It is shown that fast fading perturbation of the stress­strain state is typical not only for static but also kinematic nonuniformity related to the task conditions of restraint.

Key words: the principle of Saint­Venant, shear stresses, normal stresses, perturbation of the stress­strain state, function, self­equilibrated, finite element method.

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