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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Structural Mechanics of Engineering Constructions and Buildings</journal-id><journal-title-group><journal-title xml:lang="en">Structural Mechanics of Engineering Constructions and Buildings</journal-title><trans-title-group xml:lang="ru"><trans-title>Строительная механика инженерных конструкций и сооружений</trans-title></trans-title-group></journal-title-group><issn publication-format="print">1815-5235</issn><issn publication-format="electronic">2587-8700</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">52522</article-id><article-id pub-id-type="doi">10.22363/1815-5235-2026-22-3-253-266</article-id><article-id pub-id-type="edn">LGPSQE</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Analysis and design of building structures</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Расчет и проектирование строительных конструкций</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Rational Reinforcement of Continuous Three-Span Timber Beams</article-title><trans-title-group xml:lang="ru"><trans-title>Рациональное армирование неразрезных трехпролетных деревянных балок</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9107-6606</contrib-id><contrib-id contrib-id-type="spin">8650-1055</contrib-id><name-alternatives><name xml:lang="en"><surname>Repin</surname><given-names>Vladimir A.</given-names></name><name xml:lang="ru"><surname>Репин</surname><given-names>Владимир Анатольевич</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Technical Sciences, Associate Professor of the Department of Building Structures</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент кафедры строительных конструкций</p></bio><email>skia2000@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6570-0265</contrib-id><contrib-id contrib-id-type="spin">1232-5835</contrib-id><name-alternatives><name xml:lang="en"><surname>Martinov</surname><given-names>Vladislav A.</given-names></name><name xml:lang="ru"><surname>Мартынов</surname><given-names>Владислав Алексеевич</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Technical Sciences, Associate Professor of the Department of Building Structures</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент кафедры строительных конструкций</p></bio><email>martinov3369@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2495-5819</contrib-id><contrib-id contrib-id-type="spin">8129-0924</contrib-id><name-alternatives><name xml:lang="en"><surname>Popova</surname><given-names>Marina V.</given-names></name><name xml:lang="ru"><surname>Попова</surname><given-names>Марина Владиславовна</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Technical Sciences, Associate Professor of the Department of Building Structures</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент кафедры строительных конструкций</p></bio><email>popovamv@bk.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9278-4559</contrib-id><contrib-id contrib-id-type="spin">1809-6997</contrib-id><name-alternatives><name xml:lang="en"><surname>Chibrikin</surname><given-names>Danila A.</given-names></name><name xml:lang="ru"><surname>Чибрикин</surname><given-names>Данила Александрович</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Technical Sciences, Associate Professor of the Department of Building Structures</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент кафедры строительных конструкций</p></bio><email>fkpud92z7b2n@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Vladimir State University named after Alexander and Nikolay Stoletovs</institution></aff><aff><institution xml:lang="ru">Владимирский государственный университет имени Александра Григорьевича и Николая Григорьевича Столетовых</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2026-09-30" publication-format="electronic"><day>30</day><month>09</month><year>2026</year></pub-date><volume>22</volume><issue>3</issue><issue-title xml:lang="en">VOL 22, NO2 (2025)</issue-title><issue-title xml:lang="ru">ТОМ 22, №2 (2025)</issue-title><fpage>253</fpage><lpage>266</lpage><history><date date-type="received" iso-8601-date="2026-09-30"><day>30</day><month>09</month><year>2026</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2026, Repin V.A., Martinov V.A., Popova M.V., Chibrikin D.A.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2026, Репин В.А., Мартынов В.А., Попова М.В., Чибрикин Д.А.</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="en">Repin V.A., Martinov V.A., Popova M.V., Chibrikin D.A.</copyright-holder><copyright-holder xml:lang="ru">Репин В.А., Мартынов В.А., Попова М.В., Чибрикин Д.А.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/structural-mechanics/article/view/52522">https://journals.rudn.ru/structural-mechanics/article/view/52522</self-uri><abstract xml:lang="en"><p>Reinforced timber structures, particularly continuous beams, offer a number of advantages that contribute to their widespread use. The economic benefits of rational reinforcement of the cross-section of multi-span reinforced timber beams in terms of material consumption, as well as the lack of similar known contemporary works, determine the relevance of the research topic. The object of the study is a three-span reinforced timber beam with equal spans, loaded with a uniformly distributed load. To achieve the goal of the study, the following tasks were solved: a review of existing methods for calculating flexural reinforced timber elements and the selection of a calculation methodology for the studied structure; an analysis of the distribution of bending moments along the beam length and the development of design solutions; and the selection of a rational option, with the relative consumption of reinforcement serving as the efficiency criterion. Design solutions with symmetrical and asymmetrical reinforcement with the placement of bars along the entire length of the beam and part of its length were considered. It was found that the difference in bending moments in the middle span and the design moments at the supports allows to have no reinforcement in a part of the middle span. Furthermore, it is possible to reduce the cross-section dimensions. The most efficient reinforcement option for a three-span beam is symmetrical reinforcement, with the reinforcement placed along part of the beam's length.</p></abstract><trans-abstract xml:lang="ru"><p>Армированные деревянные конструкции, в частности неразрезные балки, обладают рядом достоинств, способствующих их широкому применению. Экономический эффект от рационального армирования сечения многопролетных армированных деревянных балок с точки зрения материалоемкости, а также отсутствие аналогичных современных известных работ обуславливают актуальность тематики исследования. Объектом исследования является трехпролетная армированная деревянная балка с равными пролетами, загруженная равномерно распределенной нагрузкой. Для достижения цели исследования решены следующие задачи: обзор существующих методов расчета изгибаемых армированных деревянных элементов и выбор методики расчета исследуемой конструкции; анализ характера распределения изгибающих усилий по длине балки и формирование вариантов конструктивных решений; выбор рационального варианта, критерием эффективности при этом являлся относительный расход арматуры. Были рассмотрены конструктивные решения с симметричным и несимметричным армированием с размещением стержней по всей длине балки и на части ее длины. Установлено, что разница изгибающих усилий в среднем пролете и расчетных усилий на опорах позволяет выполнять часть среднего пролета без армирования. Кроме того, существует возможность уменьшать габариты сечения. Наиболее рациональный вариант армирования трехпролетной балки - симметричное армирование с размещением арматуры на части длины балки.</p></trans-abstract><kwd-group xml:lang="en"><kwd>continuous timber beams</kwd><kwd>reinforced timber structures</kwd><kwd>increased strength and rigidity</kwd><kwd>rational reinforcement</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>неразрезные деревянные балки</kwd><kwd>армированные деревянные конструкции</kwd><kwd>повышение прочности и жесткости</kwd><kwd>рациональное проектирование</kwd></kwd-group><funding-group><award-group><funding-source><institution-wrap><institution xml:lang="ru">Работа выполнена в рамках государственного задания в сфере научной деятельности Министерства науки и высшего образования Российской Федерации (тема FZUN-2024-0004, госзадание ВлГУ).</institution></institution-wrap><institution-wrap><institution xml:lang="en">The study was conducted under the state assignment in the field of scientific activity of the Ministry of Science and Higher Education of the Russian Federation (topic FZUN-2024-0004, state assignment of the All-Russian State University).</institution></institution-wrap></funding-source></award-group></funding-group></article-meta><fn-group/></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Bukauskas A, Mayencourt P, Shepherd P. et al. 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