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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">nsojout</journal-id><journal-title-group><journal-title xml:lang="ru">Строительство: наука и образование</journal-title><trans-title-group xml:lang="en"><trans-title>Construction: Science and Education</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2305-5502</issn><publisher><publisher-name>ФГБОУ ВО «Национальный исследовательский Московский государственный строительный университет»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22227/2305-5502.2025.3.2</article-id><article-id custom-type="elpub" pub-id-type="custom">nsojout-285</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>Строительные конструкции. Основания и фундаменты. Технология и организация строительства. Проектирование зданий и сооружений. Инженерные изыскания и обследование зданий</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Building structures. Soils and foundations. Technology and organization of construction. Designing of buildings and constructions. Engineering survey and inspection of buildings</subject></subj-group></article-categories><title-group><article-title>Расчет сжатых тонкостенных стержней по действующим нормативно-техническим документам разных стран</article-title><trans-title-group xml:lang="en"><trans-title>Calculation of compressed thin-walled rods in accordance with current normative and technical documents of different countries</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>Гатиатуллина</surname><given-names>Р. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Gatiatullina</surname><given-names>R. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Регина Артуровна Гатиатуллина — аспирант</p><p>129337, г. Москва, Ярославское шоссе, д. 26</p></bio><bio xml:lang="en"><p>Regina A. Gatiatullina — graduate student</p><p>26 Yaroslavskoe shosse, Moscow, 129337</p></bio><email xlink:type="simple">gatiatullina.regina@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3761-9213</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ибрагимов</surname><given-names>А. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Ibragimov</surname><given-names>A. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Александр Майорович Ибрагимов — доктор технических наук, профессор</p><p>129337, г. Москва, Ярославское шоссе, д. 26</p><p>РИНЦ AuthorID: 704948, Scopus: 57189524528, ResearcherID: AFN-6830-2022</p></bio><bio xml:lang="en"><p>Alexander M. Ibragimov — Doctor of Technical Sciences, Professor</p><p>26 Yaroslavskoe shosse, Moscow, 129337</p><p>RSCI AuthorID: 704948, Scopus: 57189524528, ResearcherID: AFN-6830-2022</p></bio><email xlink:type="simple">IbragimovAM@mgsu.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><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-2"><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><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>30</day><month>09</month><year>2025</year></pub-date><volume>15</volume><issue>3</issue><fpage>24</fpage><lpage>38</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Гатиатуллина Р.А., Ибрагимов А.М., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Гатиатуллина Р.А., Ибрагимов А.М.</copyright-holder><copyright-holder xml:lang="en">Gatiatullina R.A., Ibragimov A.M.</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.nso-journal.ru/jour/article/view/285">https://www.nso-journal.ru/jour/article/view/285</self-uri><abstract><sec><title>Введение</title><p>Введение. Рассматриваются методики определения расчетных значений несущей способности тонкостенного стержня, испытывающего деформацию сжатия, с учетом вероятной потери местной устойчивости по отечественным и европейским нормативным документам и по нормам Северной Америки.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. Расчеты выполнены для тонкостенных холодногнутых С-образных стальных профилей. Использованы сбор и систематизация информационных данных, теоретическое обобщение материалов, полученных при анализе отечественных и зарубежных нормативно-технических документов, сравнительный и сопоставительный анализы.</p></sec><sec><title>Результаты</title><p>Результаты. Проведено сравнение методов определения несущей способности тонкостенных стержней с учетом их местной потери устойчивости. Алгоритмы расчетов представлены в табличной форме; результаты также сведены в таблицы.</p></sec><sec><title>Выводы</title><p>Выводы. В ходе анализа результатов, приняв в качестве эталона для сравнения несущую способность, определенную в соответствии с СП 260.1325800.2016, получено расхождение с EN 1993-1-3 5 и 12 % — с AISI S100–16. Построены графики зависимости несущей способности от геометрических характеристик сечения (высоты, ширины и толщины профиля), что дает наглядное представление в разности подходов к разработке нормативно-технических документов в разных странах.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. The article deals with methods of determining the design values of the bearing capacity of a thin-walled rod experiencing compression deformation (taking into account the probable local buckling) according to domestic and European normative documents and the design standards of North America.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. Calculations for thin-walled cold-formed C-shaped steel sections were carried out. Methods such as collection and systematization of information data, theoretical generalization of materials obtained in the analysis of domestic and foreign normative and technical documents, comparative analysis were used.</p></sec><sec><title>Results</title><p>Results. The comparison of methods for determining the load-bearing capacity of thin-walled rods under local buckling was made. The calculation algorithms are presented in tables. The results are summarized in unified tables.</p></sec><sec><title>Conclusions</title><p>Conclusions. Based on the analysis of results (taking as a reference for comparison the load-bearing capacity determined in accordance with SP 260.1325800.2016) a difference of 5 with EN 1993-1-3 and 12 % with AISI S100–16 was obtained. Graphs of correspondence between the load-bearing capacity and geometric characteristics of the cross-section (height, width and thickness) are shown. They give a visual representation of the difference in approaches to the development of normative and technical documents in different countries.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>сравнительный анализ</kwd><kwd>тонкостенные стержни</kwd><kwd>местная потеря устойчивости</kwd><kwd>методики расчета</kwd><kwd>сжатие</kwd><kwd>эффективная площадь</kwd><kwd>нормативные документы</kwd></kwd-group><kwd-group xml:lang="en"><kwd>comparative analysis</kwd><kwd>thin-walled rods</kwd><kwd>local buckling</kwd><kwd>calculation methods</kwd><kwd>compression</kwd><kwd>effective area</kwd><kwd>normative documents</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Кинзябулатова Д.Ф., Порываев И.А., Недосеко И.В. Расчет устойчивости сжатых тонкостенных стержней С-образного сечения // Известия Казанского государственного архитектурно-строительного университета. 2022. № 4 (62). С. 108–118. DOI: 10.52409/20731523_2022_4_108. EDN JLMWXF.</mixed-citation><mixed-citation xml:lang="en">Kinzyabulatova D.F., Porivaev I.A., Nedo-seko I.V. Buckling analysis of c-shaped cold-formed profiles. News of the Kazan State University of Architecture and Engineering. 2022; 4(62):108-118. DOI: 10.52409/20731523_2022_4_108. EDN JLMWXF. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Егоров А.В., Егоров В.Н. Расчетно-экспериментальное исследование продольной устойчивости конструкции тонкостенного плоского стержня // Инженерный журнал: наука и инновации. 2023. № 3 (135). DOI: 10.18698/2308-6033-2023-3-2256. EDN VFTQTU.</mixed-citation><mixed-citation xml:lang="en">Egorov A.V., Egorov V.N. Computational and experimental study of longitudinal stability of the thin-walled flat bar structure. Engineering Journal: Science and Innovation. 2023; 3(135). DOI: 10.18698/2308-6033-2023-3-2256. EDN VFTQTU. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Чернявский И.Д. К устойчивости формы сечения стальных тонкостенных стержней из холодно-гнутых профилей типа «сигма» // Сборник конкур-сных научных работ студентов и магистрантов: в 2 частях. Брест : БрГТУ, 2022. Ч. 1. С. 310–314.</mixed-citation><mixed-citation xml:lang="en">Chernyavskiy I.D. Buckling of steel thin-walled cold-formed sigma-type sections rods. Collection of competitive scientific works of students and graduate students: in 2 parts. Brest, BrSTU, 2022; 1:310-314. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Советников Д.О., Азаров А.А., Иванов С.С., Рыбаков В.А. Методы расчета тонкостенных стержней: статика, динамика, устойчивость // Alfabuild. 2018. № 2 (4). С. 7–33. DOI: 10.34910/ALF.4.1</mixed-citation><mixed-citation xml:lang="en">Sovetnikov D.O., Azarov A.A., Ivanov S.S., Rybakov V.A. Methods of calculation of thin-walled bars: statics, dynamics and stability. Alfabuild. 2018; 2(4):7-33. DOI: 10.34910/ALF.4.1. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang P., Shahria Alam M. Compression tests of thin-walled cold-formed steel columns with Σ-shaped sections and patterned perforations distributed along the length // Thin-Walled Structures. 2022. Vol. 174. DOI: 10.1016/j.tws.2022.109082</mixed-citation><mixed-citation xml:lang="en">Zhang P., Shahria Alam M. Compression tests of thin-walled cold-formed steel columns with Σ-shaped sections and patterned perforations distributed along the length. Thin-Walled Structures. 2022; 174. DOI: 10.1016/j.tws.2022.109082</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Туснина О.А. Особенности работы тонкостенного холодногнутого прогона С-образного сечения // Вестник МГСУ. 2014. № 10. С. 64–74. EDN SWJDYN.</mixed-citation><mixed-citation xml:lang="en">Tusnina O.A. The Features of Behaviour of a Thin-Walled Cold-Formed C-Purlin. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2014; 10:64-74. EDN SWJDYN. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Schafer B.W., Peköz T. The behavior and design of longitudinally stiffened thin-walled compression elements // Thin-Walled Structures. 1997. Vol. 27. Issue 1. Pp. 65–78. DOI: 10.1016/0263-8231(96)00016-x</mixed-citation><mixed-citation xml:lang="en">Schafer B.W., Peköz T. The behavior and design of longitudinally stiffened thin-walled compression elements. Thin-Walled Structures. 1997; 27(1):65-78. DOI: 10.1016/0263-8231(96)00016-x</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Каюмов Р.А. Закритическое поведение сжатых стержней с нелинейно упругими опорами // Вестник Пермского национального исследовательского политехнического университета. Механика. 2022. № 3. С. 23–31. DOI: 10.15593/perm.mech/2022.3.03. EDN OERASD.</mixed-citation><mixed-citation xml:lang="en">Kayumov R.A. Postbuckling behavior of compressed bars with nonlinearly elastic supports. PNRPU Mechanics Bulletin. 2022; 3:23-31. DOI: 10.15593/perm.mech/2022.3.03. EDN OERASD. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Rybakov V.A., Lalin V.V., Ivanov S.S., Azarov A.A. Coordinate functions quadratic approximation in V.I. Slivker’s semi-shear stability theory // Magazine of Civil Engineering. 2019. Nо. 5 (89). Pp. 115–128. DOI: 10.18720/MCE.89.10. EDN VJZIUK.</mixed-citation><mixed-citation xml:lang="en">Rybakov V.A., Lalin V.V., Ivanov S.S., Aza-rov A.A. Coordinate functions quadratic approximation in V.I. Slivker’s semi-shear stability theory. Magazine of Civil Engineering. 2019; 5(89):115-128. DOI: 10.18720/MCE.89.10. EDN VJZIUK.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Ходева В.А. Устойчивость тонкостенной пластины в пределах упругости // Молодой исследователь Дона. 2022. № 5 (38). С. 61–65. EDN HIVJPU.</mixed-citation><mixed-citation xml:lang="en">Khodeeva V.A. Stability of a thin-walled plate within the limits of elasticity. Young Don Researcher. 2022; 5(38):61-65. EDN HIVJPU. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Von Karman T., Sechler E.E., Donnell L. The strength of thin plates in compression // Journal of Fluids Engineering. 1932. Vol. 54. Issue 2. Pp. 53–56. DOI: 10.1115/1.4021738</mixed-citation><mixed-citation xml:lang="en">Von Karman T., Sechler E.E., Donnell L. The strength of thin plates in compression. Journal of Fluids Engineering. 1932; 54(2):53-56. DOI: 10.1115/1.4021738</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Winter G. Strength of thin steel compression flange // Transactions of the American Society of Civil Engineers. 1947. Vol. 112. Issue 1. Pp. 527–554. DOI: 10.1061/TACEAT.0006092</mixed-citation><mixed-citation xml:lang="en">Winter G. Strength of thin steel compression flange. Transactions of the American Society of Civil Engineers. 1947; 112(1):527-554. DOI: 10.1061/TACEAT.0006092</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Schafer B.W., Peköz T. Computational modeling of cold-formed steel: characterizing geometric imperfections and residual stresses // Journal of Constructional Steel Research. 1998. Vol. 47. Issue 3. Pp. 193–210. DOI: 10.1016/S0143-974X(98)00007-8</mixed-citation><mixed-citation xml:lang="en">Schafer B.W., Peköz T. Computational modeling of cold-formed steel: characterizing geometric imperfections and residual stresses. Journal of Constructional Steel Research. 1998; 47(3):193-210. DOI: 10.1016/S0143-974X(98)00007-8</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Torabian S., Schafer B.W. Development and Experimental Validation of the Direct Strength Method for Cold-Formed Steel Beam-Columns // Journal of Structural Engineering. 2018. Vol. 144. Issue 10. DOI: 10.1061/(ASCE)ST.1943-541X.0002117</mixed-citation><mixed-citation xml:lang="en">Torabian S., Schafer B.W. Development and Experimental Validation of the Direct Strength Method for Cold-Formed Steel Beam-Columns. Journal of Structural Engineering. 2018; 144(10). DOI: 10.1061/(ASCE)ST.1943-541X.0002117</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Anbarasu M. Structural performance of cold-formed steel composite beams // Steel and Composite Structures. 2018. Vol. 27. Issue 5. DOI: 10.12989/scs.2018.27.5.545</mixed-citation><mixed-citation xml:lang="en">Anbarasu M. Structural performance of cold-formed steel composite beams. Steel and Composite Structures. 2018; 27(5). DOI: 10.12989/scs.2018.27.5.545</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Зеньков Е.В. Особенности работы стоечного профиля из легких стальных тонкостенных конструкций на устойчивость // Международный научно-исследовательский журнал. 2021. № 3–1 (105). С. 54–59. DOI: 10.23670/IRJ.2021.105.3.009. EDN QKEEVM.</mixed-citation><mixed-citation xml:lang="en">Zenkov E.V. Functional aspects of the c stud from light steel thin-walled structures for stability. International Research Journal. 2021; 3-1(105):54-59. DOI: 10.23670/IRJ.2021.105.3.009. EDN QKEEVM. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Надольский В.В., Дергачев М.Г. Метод эффективной ширины для тонкостенных холодноформованных элементов согласно требованиям Еврокода 3 // Вестник Полоцкого государственного университета. Серия F. Строительство. Прикладные науки. 2017. № 8. С. 105–111. EDN ZVZCYH.</mixed-citation><mixed-citation xml:lang="en">Nadolski V., Dzerhachou M. Effective width method for thin-walled cold-formed elements in accordance with Eurocode 3. Herald of Polotsk State University. Series F. Civil Engineering. Applied Sciences. 2017; 8:105-111. EDN ZVZCYH. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang P., Shahria Alam M. Experimental investigation and numerical simulation of pallet-rack stub columns under compression load // Journal of Constructional Steel Research. 2017. Vol. 133. Pp. 282–299. DOI: 10.1016/j.jcsr.2017.02.023</mixed-citation><mixed-citation xml:lang="en">Zhang P., Shahria Alam M. Experimental investigation and numerical simulation of pallet-rack stub columns under compression load. Journal of Constructional Steel Research. 2017; 133:282-299. DOI: 10.1016/j.jcsr.2017.02.023</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Jovanovic D., Zarkovic D., Dobric J. Design and application of cold-formed thin-walled members // Planning, design, construction and building renewal: scientific conference. 2018. Pp. 125–134.</mixed-citation><mixed-citation xml:lang="en">Jovanovic D., Zarkovic D., Dobric J. Design and application of cold-formed thin-walled members. Planning, design, construction and building renewal: scientific conference. 2018; 125-134.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Bezas M.Z., Demonceau J.F., Vayas I., Jaspart J.P. Compression tests on large angle columns in high-strength steel // Steel Construction. 2022. Vol. 15. Issue 1. Pp. 43–47. DOI: 10.1002/stco.202100051</mixed-citation><mixed-citation xml:lang="en">Bezas M.Z., Demonceau J.F., Vayas I., Jaspart J.P. Compression tests on large angle columns in high-strength steel. Steel Construction. 2022; 15(1):43-47. DOI: 10.1002/stco.202100051</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
