Structural Mechanics of Engineering Constructions and BuildingsStructural Mechanics of Engineering Constructions and BuildingsСтроительная механика инженерных конструкций и сооружений1815-52352587-8700Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)4368510.22363/1815-5235-2024-20-6-552-566CXIPEPProblems of theory of elasticityПроблемы теории упругостиResearch ArticleSpecific Strength Under Combined LoadingУдельная прочность при сложном сопротивленииhttps://orcid.org/0000-0001-9158-03785262-5269KurbanmagomedovArslan K.КурбанмагомедовАрслан Курбанмагомедович

Candidate of Physical and Mathematical Sciences, senior lecturer, Nikolskii Mathematical Institute

кандидат физико-математических наук, старший преподаватель математического института С.М. Никольского

kurbanmagomedov_ak@pfur.ruhttps://orcid.org/0000-0002-4824-84813989-2934MorozovEvgeny M.МорозовЕвгений Михайлович

Doctor of Technical Sciences, Professor

доктор технических наук, профессор, профессор кафедры физики прочности

evgeny.morozof@gmail.comRUDN UniversityРоссийский университет дружбы народовNational Research Nuclear University MEPhIНациональный исследовательский ядерный университет МИФИ3112202420655256606042025Copyright ©; 2024, Kurbanmagomedov A.K., Morozov E.M.Copyright ©; 2024, Курбанмагомедов А.К., Морозов Е.М.2024Kurbanmagomedov A.K., Morozov E.M.Курбанмагомедов А.К., Морозов Е.М.https://creativecommons.org/licenses/by-nc/4.0https://journals.rudn.ru/structural-mechanics/article/view/43685

The work is devoted to the application of the concept of specific strength for the analysis of the degree of utilization of mechanical properties of beam material under combined loading. The beam is studied and force diagrams are constructed for various types of loads, such as pure bending with tension, pure bending with tension and torsion, pure bending with torsion, and the strength utilization factor of a beam with an arbitrary cross-section is obtained. The research method is based on the superposition of stress states with the determination of the difference between the resistance diagrams. The concept of material resistance to fracture in the form of ultimate stresses distributed over the body volume is introduced. The method of calculating the specific strength for a beam under combined stress, as well as for thick-walled pipes loaded with internal pressure, is given. The relationship between the beam cross-section of the beam and the specific strength is presented, followed by a conclusion for the optimal application of the beam with the cross-section used.

Исследовано применение понятия удельной прочности для расчетного изучения степени использования механических свойств материала бруса при его работе в условиях сложного сопротивления. Представлено исследование бруса с дальнейшим построением эпюр с различными видами нагрузок, таких как чистый изгиб с растяжением, чистый изгиб с растяжением и кручением, чистый изгиб с кручением и получен коэффициент использования несущей способности бруса с произвольным поперечным сечением. Метод исследования основан на суперпозиции напряженных состояний с определением различия между эпюрами сопротивления нагружению. Введено понятие сопротивления материала разрушению в виде предельных напряжений, распределенных по объему тела. Приведен метод расчета удельной прочности для сложнонапряженного бруса, а также толстостенных труб, нагруженных внутренним давлением. Представлена зависимость сечения бруса от удельной прочности, с последующим выводом для наиболее выгодного использования бруса с используемым сечением.

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