constructionСтроительство и реконструкцияBuilding and Reconstruction2073-7416Орловский государственный университет имени И.С. Тургенева10.33979/2073-7416-2026-123-1-58-71construction-1039Research ArticleБЕЗОПАСНОСТЬ ЗДАНИЙ И СООРУЖЕНИЙBUILDING AND STRUCTURE SAFETYВлияние деформаций сдвига на прогиб и коробление поперечного сечения консольной балки при прямом изгибеInfluence of shear deformations on deflection and barking of the cross section of a cantilizer beam under direct bendingТуенВу НгокTuyenVu Ngoc

Ву Нгок Туен - кандидат технических наук, доцент кафедры Фундаментального образования

г. Москва

Vu Ngoc Tuyen - Candidate of Technical Sciences, Associate Professor of the Department of Fundamental Education

Moscow

WuNgokTuen@gic.mgsu.ruБасоваД. Н.BasovaD. N.

Басова Дарья Николаевна - студентка кафедры Фундаментального образования

г. Москва

Basova Daria N. - Student, Department of Fundamental Education

Moscow

dbasova822@gmail.comМасленниковМ. Д.MaslennikovM. D.

Масленников Максим Дмитриевич - студент кафедры Фундаментального образования

г. Москва

Maslennikov Maxim D. - Student, Department of Fundamental Education

Moscow

maksimmaslennikov5@gmail.comТуанЛе МиньTuanLe Minh

Ле Минь Туан - кандидат технических наук, доцент факультета гуманитарных наук

Г. Москва

Le Minh Tuan - Ph.D. in Technical Sciences, Associate Professor, Faculty of Humanities

Moscow

architect290587@gmail.comФГБОУ ВО «Национальный исследовательский Московский государственный строительный университет» (НИУ МГСУ)Moscow State University of Civil EngineeringНациональный исследовательский университет «Высшая школа экономики» (НИУ ВШЭ)National Research University Higher School of Economics (HSE)202608042026015871Copyright © Туен В., Басова Д.Н., Масленников М.Д., Туан Л., 20262026Туен В., Басова Д.Н., Масленников М.Д., Туан Л.Tuyen V., Basova D.N., Maslennikov M.D., Tuan L.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://construction.elpub.ru/jour/article/view/1039

В данном исследовании представлен полуобратный метод определения напряжений в консольной балке прямоугольного сечения с использованием алгебраических полиномов функции. В качестве функции напряжения выбран полином 3-й степени, коэффициенты которого определяются исходя из граничных условий задачи. Для определения перемещений приняли закон Гука, из которого выразили деформации через перемещения по формулам Коши. Исследовано влияние деформаций сдвига на прогибы и коробление поперечного сечения при прямом изгибе. Установлено, что для балок с соотношением высоты поперечного сечения к пролету h/l <1/5, влияние сдвигов на деформированное состояние балки незначительно. >Также произвели сравнительный анализ аналитических результатов расчета с результатами численного моделирования в программном комплексе Лира САПР.

This study presents a semi-inverse method for determining stresses in a rectangular cantilever beam using algebraic polynomials of a function. A 3rd degree polynomial was chosen as a stress function, the coefficients of which are determined based on the boundary conditions of the problem. To determine the displacements, Hooke's law was adopted, from which deformations were expressed through displacements using the Cauchy formulas. The influence of shear deformations on deflections and buckling of the cross section under direct bending was studied. It has been established that for beams with a ratio of cross-sectional height to span h/l <1/5, the influence of shears on the deformed state of >the beam is insignificant. We also carried out a comparative analysis of the analytical calculation results with the results of numerical modeling in the Lira CAD software package.

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The authors declare that there are no conflicts of interest present.