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JOURNALS // Vestnik Chuvashskogo Gosudarstvennogo Pedagogicheskogo Universiteta im. I. Ya. Yakovleva. Seriya: Mekhanika Predel'nogo Sostoyaniya // Archive

Vestn. Chuvash. Gos. Ped. Univ. im.I.Ya. Yakovleva Ser.: Mekh. Pred. Sost., 2024 Issue 4(62), Pages 89–96 (Mi mps99)

Taking into account the influence of cross-sectional shape and gravity on the limit state of a multilayer concrete rod

Yu. V. Nemirovskiiab, S. V. Tikhonovc

a Novosibirsk State Technical University
b Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Chuvash State University

Abstract: The article examines the problem of longitudinal-transverse bending of multilayer concrete rods with a constant cross-section under quasi-static loads. It is assumed that the concrete deforms linearly under strains below the elastic limit and nonlinearly quasi-elastically above it. The stress-strain relationships in the nonlinear deformation range are represented as second-order polynomials with different coefficients for various grades of concrete. It is assumed that the stress state is uniaxial, with all layers of the rod deforming elastically in the compression zone, while in the tension zone, the layers may be in regions of elastic or nonlinear quasi-elastic deformation and may include the boundary between these regions. Examples of rod calculations are presented, where the number of layers equals three, and the influence of the cross-sectional shape and self-weight on the ultimate loads is analyzed.

Keywords: Concrete multilayer rods, physical nonlinearity, elasticity, transverse loads, ultimate deformations.

UDC: 539.374

Received: 10.10.2024
Revised: 27.12.2024
Accepted: 15.12.2024

DOI: 10.37972/chgpu.2024.62.4.007



© Steklov Math. Inst. of RAS, 2026