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<article article-type="research-article" dtd-version="1.3" 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" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">mgssuvest</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник МГСУ</journal-title><trans-title-group xml:lang="en"><trans-title>Vestnik MGSU</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1997-0935</issn><issn pub-type="epub">2304-6600</issn><publisher><publisher-name>Moscow State University of Civil Engineering (National Research University) (MGSU)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22227/1997-0935.2025.6.867-887</article-id><article-id custom-type="elpub" pub-id-type="custom">mgssuvest-654</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Проектирование и конструирование строительных систем. Строительная механика. Основания и фундаменты, подземные сооружения</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Construction system design and layout planning. Construction mechanics. Bases and foundations, underground structures</subject></subj-group></article-categories><title-group><article-title>Методика расчета плит на продавливание, построенная с использованием регрессионного анализа</article-title><trans-title-group xml:lang="en"><trans-title>Regression-based method for calculation of the punching shear capacity of the slab</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бударин</surname><given-names>А. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Budarin</surname><given-names>A. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Александр Михайлович Бударин — главный специалист отдела расчетных обоснований</p><p>125993, г. Москва, Волоколамское шоссе, д. 2</p></bio><bio xml:lang="en"><p>Alexander M. Budarin — chief specialist of the calculation justification department</p><p>2 Volokolamskoe shosse, Moscow, 125993</p></bio><email xlink:type="simple">alex.budarin01@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7514-3108</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ушаков</surname><given-names>О. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Ushakov</surname><given-names>O. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Олег Юрьевич Ушаков — кандидат технических наук, доцент</p><p>620002, г. Екатеринбург, ул. Мира, д. 19</p><p>Scopus: 57210969288, ResearcherID: B-4747-2016</p></bio><bio xml:lang="en"><p>Oleg Yu. Ushakov — Candidate of Technical Sciences, Associate Professor</p><p>19 Mira st., Yekaterinburg, 620002</p><p>Scopus: 57210969288, ResearcherID: B-4747-2016</p></bio><email xlink:type="simple">ushakovoleg@yandex.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7381-9752</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сабитов</surname><given-names>Л. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Sabitov</surname><given-names>L. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Линар Салихзанович Сабитов — доктор технических наук, профессор</p><p>129337, г. Москва, Ярославское шоссе, д. 26</p><p>Scopus: 57079229700, ResearcherID: D-2999-2018</p></bio><bio xml:lang="en"><p>Linar S. Sabitov — Doctor of Technical Sciences, Professor</p><p>26 Yaroslavskoe shosse, Moscow, 129337</p><p>Scopus: 57079229700, ResearcherID: D-2999-2018</p></bio><email xlink:type="simple">SabitovLS@mgsu.ru</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0162-2699</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Маилян</surname><given-names>Л. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Mailyan</surname><given-names>L. R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Левон Рафаэлович Маилян — доктор технических наук, профессор</p><p>344000, г. Ростов-на-Дону,  пл. Гагарина, д. 1</p><p>Scopus: 57192662909, ResearcherID: AAO-9095-2020</p></bio><bio xml:lang="en"><p>Levon R. Mailyan — Doctor of Technical Sciences, Professor</p><p>1 Gagarin square, Rostov-on-Don, 344000</p><p>Scopus: 57192662909, ResearcherID: AAO-9095-2020</p></bio><email xlink:type="simple">lrm@aaa.net.ru</email><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сосновских</surname><given-names>С. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Sosnovskikh</surname><given-names>S. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сергей Сергеевич Сосновских — аспирант кафедры систем автоматизированного проектирования объектов строительства</p><p>620002, г. Екатеринбург, ул. Мира, д. 19</p></bio><bio xml:lang="en"><p>Sergey S. Sosnovskikh — postgraduate student of the Department of Computer-Aided Design Systems for Construction Projects</p><p>19 Mira st., Yekaterinburg, 620002</p></bio><email xlink:type="simple">ccc-10@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт «Гидропроект»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute Hydroproject</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Уральский федеральный университет имени первого Президента России Б.Н. Ельцина (УрФУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Ural Federal University named after the first President of Russia B.N. Yeltsin (UrFU)</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Национальный исследовательский Московский государственный строительный университет (НИУ МГСУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow State University of Civil Engineering (National Research University) (MGSU)</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>Донской государственный технический университет (ДГТУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Don State Technical University (DSTU)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>30</day><month>06</month><year>2025</year></pub-date><volume>20</volume><issue>6</issue><fpage>867</fpage><lpage>887</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Бударин А.М., Ушаков О.Ю., Сабитов Л.С., Маилян Л.Р., Сосновских С.С., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Бударин А.М., Ушаков О.Ю., Сабитов Л.С., Маилян Л.Р., Сосновских С.С.</copyright-holder><copyright-holder xml:lang="en">Budarin A.M., Ushakov O.Y., Sabitov L.S., Mailyan L.R., Sosnovskikh S.S.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.vestnikmgsu.ru/jour/article/view/654">https://www.vestnikmgsu.ru/jour/article/view/654</self-uri><abstract><sec><title>Введение</title><p>Введение. В местах сопряжения плитных и вертикальных железобетонных конструкций, где значительная сила сконцентрирована на относительно небольшой площади опоры, возможно разрушение плиты от продавливания. Данный тип разрушения сопровождается образованием пространственной поверхности разрушения, формируемой сетью трещин и называемой пирамидой продавливания. К основным факторам, оказывающим влияние на несущую способность плиты при продавливании, можно отнести: масштабный энергетический эффект, процент продольного армирования растянутой зоны плиты, относительный пролет среза плиты, отношение периметра опоры к рабочей высоте плиты. Отсутствие учета этих факторов в методике вычисления предельного продавливающего усилия, воспринимаемого плитой, ведет к ухудшению ее точности. Цель исследования — разработка методики расчета железо-бетонных плит на продавливание, учитывающей основные факторы, влияющие на несущую способность плиты.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. Представлено сравнение величин предельного продавливающего усилия, полученного в рамках лабораторных испытаний и с помощью отечественного (СП 63.13330) и зарубежных нормативных документов (Eurocode 2, ACI 318-11, Model Code 2010). Актуальной является задача разработки более точной методики расчета плит на продавливание. Коэффициенты методики получены с помощью регрессионного анализа методом наименьших квадратов с использованием алгоритма Левенберга – Марквардта на основании опытных данных.</p></sec><sec><title>Результаты</title><p>Результаты. В результате выполнения регрессионного анализа получена методика расчета на продавливание. Приведено сравнение величин предельного продавливающего усилия, полученного в рамках лабораторных испытаний и с помощью полученной методики.</p></sec><sec><title>Выводы</title><p>Выводы. Сравнение показало, что полученная методика имеет более высокие показатели соответствия с опытными данными, чем методики, представленные в ряде нормативных документов. Разработанная методика может применяться для оценки несущей способности плит перекрытия и фундаментных плит на продавливание с поперечной арматурой и без нее.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. At slab-column joints, where significant force is concentrated on a relatively small area of the support, punching shear failure of the slab may occur. This type of failure is accompanied by formation of the spatial failure surface called punching cone. The main factors influencing punching shear capacity are: energetic size effect, percentage of longitudinal reinforcement in the tensile zone of the slab, span to depth ratio, column perimeter to depth ratio. Lack of consideration for these factors in a calculation method may result in low accuracy. The purpose of this work is to develop a calculation method which takes into account the main factors affecting the punching shear capacity of the slab.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. The paper presents a comparison of the punching shear strength obtained in laboratory tests with domestic (CP 63.13330) and foreign (Eurocode 2, ACI 318-11, Model Code 2010) building codes. It is important to develop a more accurate method for calculation of punching shear strength of a slab. Coefficients of the method can be obtained by the least squares regression analysis using Levenberg – Marquardt algorithm based on the experimental data.</p></sec><sec><title>Results</title><p>Results. As a result of the regression analysis, a calculation method for punching was obtained. The comparison of the punching shear strength obtained in laboratory tests with the described method is given.</p></sec><sec><title>Conclusions</title><p>Conclusions. The comparison showed that the obtained method has a higher compliance with the experimental data than the methods presented in a number of building codes. The developed method can be used to assess the punching shear strength of slabs and foundation with and without transverse reinforcement.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>железобетон</kwd><kwd>плита</kwd><kwd>продавливание</kwd><kwd>масштабный эффект</kwd><kwd>регрессия</kwd><kwd>алгоритм Левенберга – Марквардта</kwd></kwd-group><kwd-group xml:lang="en"><kwd>reinforced concrete</kwd><kwd>slab</kwd><kwd>punching shear</kwd><kwd>size effect</kwd><kwd>regression</kwd><kwd>Levenberg – Marquardt algorithm</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Авторы выражают благодарность Никите Кирилловичу Гольтякову и Сергею Сергеевичу Петрову за консультации по теме регрессионного анализа, а также анонимным рецензентам за конструктивные замечания и предложения.</funding-statement><funding-statement xml:lang="en">The authors express their gratitude to Nikita Kirillovich Goltyakov and Sergey Sergeevich Petrov for consultations on the topic of regression analysis, as well as to anonymous reviewers for constructive comments and suggestions.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Lips S. 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