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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 1(59), Pages 107–114 (Mi mps70)

This article is cited in 1 paper

Bending of an elastic-plastic beam of box section

S. I. Senashov, I. L. Savostyanova

M. F. Reshetnev Siberian State University of Science and Technologies, Krasnoyarsk

Abstract: In space technology, hollow box-shaped rods of large length are used to extend antennas on spacecraft. These rods are made of multilayer composite materials. Under the influence of solar radiation, stresses arise in the rods, which significantly affect the functions of the devices located on the extended structure. In the work, the authors considered an elasto-plastic box-shaped rod that bends by transverse force. It is assumed that deformations in the rod are elasto –plastic and its lateral surface is stress-free. The center of gravity of the cross section does not coincide with the point of application of force. The authors have constructed an exact solution using conservation laws describing the stress state of this structure. The authors calculated the stress state at each point of the considered figure using integrals along the external contours of the cross section.

Keywords: elastic-plastic bending, box bar, exact solution, conservation laws.

UDC: 539.374

Received: 01.02.2024
Revised: 05.07.2024
Accepted: 15.03.2024

DOI: 10.37972/chgpu.2024.59.1.006



© Steklov Math. Inst. of RAS, 2026