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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-3pp.2100-2111

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Yu.V. Nemirovskii and S.V. Tikhonov, "Determination of Limit Loads for Transverse Bending of Multilayered Physically Nonlinear Concrete Rods," Mech. Solids. 60 (3), 2100-2111 (2025)
Year 2025 Volume 60 Number 3 Pages 2100-2111
DOI 10.1134/S0025654425601740
Title Determination of Limit Loads for Transverse Bending of Multilayered Physically Nonlinear Concrete Rods
Author(s) Yu.V. Nemirovskii (Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the RAS, Novosibirsk, 630090 Russia; Novosibirsk State Technical University, Novosibirsk, 630073 Russia, nemiryury@mail.ru)
S.V. Tikhonov (I. N. Ulyanov Chuvash State University, Cheboksary, 428000 Russia, strangcheb@mail.ru)
Abstract In this paper, the problem of bending a multilayered concrete rod of constant cross-section under quasi-static loads is considered. It is assumed that if the strain is below the elastic limit, the rod is deformed elastically, and if the strain is above the elastic limit, the rod is deformed nonlinearly quasi-elastically. It is assumed that the rod is in a uniaxial stress state.

The calculations are obtained for a hinged rod in the case that the neutral line coincides with the axis of the rod. The analytical ratios are obtained to determine the limit loads for various locations of the boundary between the elastic and nonlinear quasi-elastic deformation areas in the case when the number of layers is two. The ratios are presented for determining the boundary between these areas.
Keywords concrete multilayered rods, physical nonlinearity, elasticity, transverse loads, limit deformations
Received 19 January 2025Revised 25 March 2025Accepted 14 April 2025
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