CALCULATION OF THE STABILITY OF A PLANE BENDING OF BEAMS WITH A VARIABLE CROSS-SECTIONAL WIDTH

Author:

Yazyev Serdar1

Affiliation:

1. Don State Technical University

Abstract

The article proposes a technique for calculating the side buckling of beams of variable rectangular section based on the energy method. This method is considered on the example of a two-section cantilever beam of variable width under the action of a concentrated force. The twist angle function was set in the form of a trigonometric series. As a result, the problem is reduced to a generalized eigenvalue problem.

Publisher

RIOR Publishing Center

Subject

Industrial and Manufacturing Engineering,Polymers and Plastics,Business and International Management

Reference10 articles.

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2. Lapina A. et al. Calculation of beams with corrugated wall on the stability of a flat bending shape //E3S Web of Conferences. – EDP Sciences, 2019. – Т. 97. – С. 04067., Lapina A. et al. Calculation of beams with corrugated wall on the stability of a flat bending shape //E3S Web of Conferences. – EDP Sciences, 2019. – T. 97. – S. 04067.

3. Yazyev S. et al. Side busking of the cantilever beam with narrow rectangular cross section //E3S Web of Conferences. – EDP Sciences, 2019. – Т. 97. – С. 04066., Yazyev S. et al. Side busking of the cantilever beam with narrow rectangular cross section //E3S Web of Conferences. – EDP Sciences, 2019. – T. 97. – S. 04066.

4. Лапина, А.П. Cовершенствование энергетического метода в расчетах балок на устойчивость плоской формы изгиба / А. П. Лапина, А. С. Чепурненко, И. М. Зотов, Б.М. Языев // Вестник Волгоградского государственного архитектурно-строительного университета. Серия: Строительство и архитектура. – 2019. – № 4 (77). – С. 5-16., Lapina, A.P. Covershenstvovanie energeticheskogo metoda v raschetah balok na ustoychivost' ploskoy formy izgiba / A. P. Lapina, A. S. Chepurnenko, I. M. Zotov, B.M. Yazyev // Vestnik Volgogradskogo gosudarstvennogo arhitekturno-stroitel'nogo universiteta. Seriya: Stroitel'stvo i arhitektura. – 2019. – № 4 (77). – S. 5-16.

5. Макушин В.М., Савельев Н.Г., Нгуен Ван Хунг. Устойчивость плоской формы полос при совместном действии поперечной и продольной нагрузки // Расчеты на прочность. – М.,1969, вып.14. – С.268-289., Makushin V.M., Savel'ev N.G., Nguen Van Hung. Ustoychivost' ploskoy formy polos pri sovmestnom deystvii poperechnoy i prodol'noy nagruzki // Raschety na prochnost'. – M.,1969, vyp.14. – S.268-289.

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