<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE root>
<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">20715</article-id><article-id pub-id-type="doi">10.22363/1815-5235-2019-15-1-25-32</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">A comparative study of beam design curves against lateral torsional buckling using AISC, EC and SP</article-title><trans-title-group xml:lang="ru"><trans-title>Сравнение расчетных кривых балки с боковым крутильным изгибом с использованием AISC, EC и СП</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Galishnikova</surname><given-names>Vera V</given-names></name><name xml:lang="ru"><surname>Галишникова</surname><given-names>Вера Владимировна</given-names></name></name-alternatives><bio xml:lang="en"><p>Associate Professor, Director of the Department of Civil Engineering, Engineering Academy</p></bio><bio xml:lang="ru"><p>доктор технических наук, директор департамента cтроительства Инженерной академии</p></bio><email>galishni@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Gebre</surname><given-names>Tesfaldet H</given-names></name><name xml:lang="ru"><surname>Гебре</surname><given-names>Тесфалдет Хадгембес</given-names></name></name-alternatives><bio xml:lang="en"><p>PhD student of the Department of Civil Engineering, Engineering Academy</p></bio><bio xml:lang="ru"><p>аспирант департамента строительства Инженерной академии</p></bio><email>tesfaldethg@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Peoples' Friendship University of Russia (RUDN University)</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2019-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2019</year></pub-date><volume>15</volume><issue>1</issue><issue-title xml:lang="en">VOL 15, NO1 (2019)</issue-title><issue-title xml:lang="ru">ТОМ 15, №1 (2019)</issue-title><fpage>25</fpage><lpage>32</lpage><history><date date-type="received" iso-8601-date="2019-03-13"><day>13</day><month>03</month><year>2019</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2019, Galishnikova V.V., Gebre T.H.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2019, Галишникова В.В., Гебре Т.Х.</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="en">Galishnikova V.V., Gebre T.H.</copyright-holder><copyright-holder xml:lang="ru">Галишникова В.В., Гебре Т.Х.</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/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/structural-mechanics/article/view/20715">https://journals.rudn.ru/structural-mechanics/article/view/20715</self-uri><abstract xml:lang="en"><p>Introduction. Structural stability is an essential part of design process for steel structures and checking the overall stability is very important for the determination of the optimum steel beams section. Lateral torsional buckling (LTB) normally associated with beams subject to vertical loading, buckling out of the plane of the applied loads and it is a primary consideration in the design of steel structures, consequently it may reduce the load currying capacity. Methods. There are several national codes to verify the steel beam against LTB. All specifications have different approach for the treatment of LTB and this paper is concentrated on three different methods: America Institute of Steel Construction (AISC), Eurocode (EC) and Russian Code (SP). The attention is focused to the methods of developing LTB curves and their characteristics. Results. AISC specification identifies three regimes of buckling depending on the unbraced length of the member ( Lb ). However, EC and SP utilize a reduction factor (χ LT ) to treat lateral torsional buckling problem. In general, flexural capacities according to AISC are higher than those of EC and SP for non-compact sections.</p></abstract><trans-abstract xml:lang="ru"><p>Цель исследования. Расчет на устойчивость является неотъемлемой частью проектирования стальных конструкций. Он очень важен для определения оптимального поперечного сечения стальных балок. Поперечное боковое выпучивание обычно происходит у балок, которые подвержены вертикальной нагрузке и теряют устойчивость из плоскости приложения нагрузок. Это является основным фактором при проектировании стальных конструкций и может привести к снижению несущей способности. Методы. Существуют различные методы расчета стальной балки на поперечное боковое выпучивание. Все нормы расчета по-разному подходят к исследованию поперечное-бокового выпучивания, в данной статье внимание сконцентрировано на трех из них. Первый метод предложен Американским институтом стальных конструкций (AISC), второй описан в Еврокоде (ЕС), третий приводится в российских строительных правилах (СП). Особое внимание уделено методам построения кривых для поперечного бокового выпучивания и определения их характеристик. Результаты. Нормы, разработанные Американским институтом стальных конструкций, рекомендуют рассматривать три режима потери устойчивости, зависящие от длины элементов ( Lb ). Однако ЕC и СП дают уменьшение XLT и предохраняют конструкцию от поперечного бокового выпучивания. В основном изгибная жесткость для поперечных сечений с высокими стенками согласно AISC выше, чем в ЕС и СП.</p></trans-abstract><kwd-group xml:lang="en"><kwd>steel beams</kwd><kwd>structural stability</kwd><kwd>lateral torsional buckling</kwd><kwd>beam design curves</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>стальные балки</kwd><kwd>устойчивость</kwd><kwd>устойчивость плоской формы изгиба балок</kwd><kwd>форма потери устойчивости</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Salmon C.G., Johnson J.E., Malh F.A. (2009). Steel Structures Design and Behavior: Emphasizing Load and Resistance Factor Design. 5th edition. 417-431.</mixed-citation><mixed-citation xml:lang="ru">Salmon C.G., Johnson J.E., Malh F.A. Steel Structures Design and Behavior: Emphasizing Load and Resistance Factor Design. 5th edition. 2009. Pp. 417–431.</mixed-citation></citation-alternatives></ref><ref id="B2"><label>2.</label><citation-alternatives><mixed-citation xml:lang="en">Bazant Z.P., Cedolin L. (2010). Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories. World Scientific. 1009.</mixed-citation><mixed-citation xml:lang="ru">Bazant Z.P., Cedolin L. Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories // World Scientific. 2010. 1009 p.</mixed-citation></citation-alternatives></ref><ref id="B3"><label>3.</label><citation-alternatives><mixed-citation xml:lang="en">Kalju L., Ivar T. (2006). Comparative study of the buckling of steel beams in Eurocode 3 and the Russian code. Journal of Constructional Steel Research, (62), 1290-1294.</mixed-citation><mixed-citation xml:lang="ru">Kalju L., Ivar T. Comparative study of the buckling of steel beams in Eurocode 3 and the Russian code // Journal of Constructional Steel Research. 2006. No. 62. Pp. 1290–1294.</mixed-citation></citation-alternatives></ref><ref id="B4"><label>4.</label><citation-alternatives><mixed-citation xml:lang="en">Trahair N.S. (2009). Buckling analysis design of steel frames. Journal of Constructional Steel Research, (65), 1459-1463.</mixed-citation><mixed-citation xml:lang="ru">Trahair N.S. Buckling analysis design of steel frames // Journal of Constructional Steel Research. 2009. No. 65. Pp. 1459–1463.</mixed-citation></citation-alternatives></ref><ref id="B5"><label>5.</label><citation-alternatives><mixed-citation xml:lang="en">Rebekka W., Rolf K., Markus K. (2017). Lateral Torsional Buckling Behavior of Steel Beams - On the Influence of the Structural System. Structures, (11), 178-188. doi: 10.1016/j.istruc.2017.05.007</mixed-citation><mixed-citation xml:lang="ru">Rebekka W., Rolf K., Markus K. Lateral Torsional Buckling Behavior of Steel Beams – On the Influence of the Structural System // Structures. 2017. No. 11. Pp. 178 doi: 10.1016/j.istruc.2017.05.007</mixed-citation></citation-alternatives></ref><ref id="B6"><label>6.</label><citation-alternatives><mixed-citation xml:lang="en">Jan B., Miroslav B., Martin V., Jindřich M., Marcela K., Jiří P. (2017). Experimental Analysis of Lateral Torsional Buckling of Beams with Selected Cross-Section Types. Procedia Engineering, (195), 56-61.</mixed-citation><mixed-citation xml:lang="ru">Jan B., Miroslav B., Martin V., Jindřich M., Marcela K., Jiří P. Experimental Analysis of Lateral Torsional Buckling of Beams with Selected Cross-Section Types // Procedia Engineering. 2017. No. 195. Pp. 56–61.</mixed-citation></citation-alternatives></ref><ref id="B7"><label>7.</label><citation-alternatives><mixed-citation xml:lang="en">Galishnikova V.V., Pahl P.J. (2018). Analysis of frame buckling without sidesway classification. Structural mechanics of engineering constructions and buildings, 14(4), 299-312.</mixed-citation><mixed-citation xml:lang="ru">Galishnikova V.V., Pahl P.J. Analysis of frame buckling without sidesway classification // Строительная механика инженерных конструкций и сооружений. 2018. Т. 14. №. 4. С. 299–312.</mixed-citation></citation-alternatives></ref><ref id="B8"><label>8.</label><citation-alternatives><mixed-citation xml:lang="en">Quanwang L., Aming Z., Hao Z. (2016). A simplified method for stability analysis of multi-story frames considering vertical interactions between stories. Advances in Structural Engineering, 19(4), 599-610.</mixed-citation><mixed-citation xml:lang="ru">Quanwang L., Aming Z., Hao Z. A simplified method for stability analysis of multi-story frames considering vertical interactions between stories // Advances in Structural Engineering. 2016. Vol. 19. No. 4. Pp. 599–610.</mixed-citation></citation-alternatives></ref><ref id="B9"><label>9.</label><citation-alternatives><mixed-citation xml:lang="en">Claudio B.C. (2016). Structural Steel Design to Eurocode 3 and AISC Specifications.</mixed-citation><mixed-citation xml:lang="ru">Claudio B.C. Structural Steel Design to Eurocode 3 and AISC Specifications. 2016.</mixed-citation></citation-alternatives></ref><ref id="B10"><label>10.</label><citation-alternatives><mixed-citation xml:lang="en">Khelil A., Larue B. (2008). Simple solutions for the flexural-torsional buckling of laterally restrained I-beams. Engineering Structures, 30, 2923-2934.</mixed-citation><mixed-citation xml:lang="ru">Khelil A., Larue B. Simple solutions for the flexural-torsional buckling of laterally restrained I-beams // Engineering Structures. 2008. No. 30. Pp. 2923–2934.</mixed-citation></citation-alternatives></ref><ref id="B11"><label>11.</label><citation-alternatives><mixed-citation xml:lang="en">Trahair N.S., Hancock G.J. (2004). Steel Member Strength by Inelastic Lateral Buckling. J. Struct. Eng., 130, 64-69.</mixed-citation><mixed-citation xml:lang="ru">Trahair N.S., Hancock G.J. Steel Member Strength by Inelastic Lateral Buckling // J. Struct. Eng., 2004. No. 130. Pp. 64–69.</mixed-citation></citation-alternatives></ref><ref id="B12"><label>12.</label><citation-alternatives><mixed-citation xml:lang="en">Ivan B., Jindřich M. (2017). Lateral-torsional buckling of beams of mono-symmetrical cross sections loaded perpendicularly to the axis of symmetry Theoretical analysis. Euro Steel, (2-3), 1086-1095</mixed-citation><mixed-citation xml:lang="ru">Ivan B., Jindřich M. Lateral-torsional buckling of beams of mono-symmetrical cross sections loaded perpendicularly to the axis of symmetry Theoretical analysis // Euro Steel. 2017. No. 2–3. Pp. 1086–1095.</mixed-citation></citation-alternatives></ref><ref id="B13"><label>13.</label><citation-alternatives><mixed-citation xml:lang="en">Merih K., Leroy G., Lorenzo M. (2015). Lateraltorsional buckling assessment of steel beams through a stiffness reduction method. Journal of Constructional Steel Research, (109), 87-100.</mixed-citation><mixed-citation xml:lang="ru">Merih K., Leroy G., Lorenzo M. Lateral-torsional buckling assessment of steel beams through a stiffness reduction method // Journal of Constructional Steel Research. 2015. No. 109. Pp. 87–100.</mixed-citation></citation-alternatives></ref><ref id="B14"><label>14.</label><citation-alternatives><mixed-citation xml:lang="en">Edgar W., Driver R.G., Heal T.W. (2015). Simplified approach to estimating the elastic lateral-torsional buckling capacity of steel beams with top-flange loading. Can. J. Civ. Eng., (42), 130-138.</mixed-citation><mixed-citation xml:lang="ru">Edgar W., Driver R.G., Heal T.W. Simplified approach to estimating the elastic lateral-torsional buckling capacity of steel beams with top-flange loading // Can. J. Civ. Eng. 2015. No. 42. Pp. 130–138.</mixed-citation></citation-alternatives></ref><ref id="B15"><label>15.</label><citation-alternatives><mixed-citation xml:lang="en">Trahair N.S. (2017). Flexural-Torsional Buckling of Structures. 352.</mixed-citation><mixed-citation xml:lang="ru">Trahair N.S. Flexural-Torsional Buckling of Structures. 2017. 352 p.</mixed-citation></citation-alternatives></ref><ref id="B16"><label>16.</label><citation-alternatives><mixed-citation xml:lang="en">American Institute of Steel Construction. (2011). Steel Construction Manual. 13th edition.</mixed-citation><mixed-citation xml:lang="ru">Steel Construction Manual. 13th edition / American Institute of Steel Construction. 2011.</mixed-citation></citation-alternatives></ref><ref id="B17"><label>17.</label><citation-alternatives><mixed-citation xml:lang="en">White D.W., Asce M. (2008). Unified Flexural Resistance Equations for Stability Design of Steel I-Section Members: Overview. Journal of Structural Engineering, 134(9), 1405-1424</mixed-citation><mixed-citation xml:lang="ru">White D.W., Asce M. Unified Flexural Resistance Equations for Stability Design of Steel I-Section Members: Overview // Journal of Structural Engineering. 2008. Vol. 134. No. 9. Pp. 1405–1424.</mixed-citation></citation-alternatives></ref><ref id="B18"><label>18.</label><citation-alternatives><mixed-citation xml:lang="en">Subramanian L.P., Jeong W.Y., Yellepeddi R., White D.W. (2016). Assessment of I-Section member LTB resistances considering experimental data and practical inelastic buckling design calculations. Structural Engineering, Mechanics and Materials Rep., (110).</mixed-citation><mixed-citation xml:lang="ru">Subramanian L.P., Jeong W.Y., Yellepeddi R., White D.W. Assessment of I-Section member LTB resistances considering experimental data and practical inelastic buckling design calculations, Structural Engineering // Mechanics and Materials Rep. 2016. No. 110.</mixed-citation></citation-alternatives></ref><ref id="B19"><label>19.</label><citation-alternatives><mixed-citation xml:lang="en">Zdeněk K. (2013). Elastic Lateral-Torsional Buck- ling of Simply Supported Hot-Rolled Steel I-Beams with Random Imperfections. Procedia Engineering, (57), 504-514.</mixed-citation><mixed-citation xml:lang="ru">Zdeněk K. Elastic Lateral-Torsional Buckling of Simply Supported Hot-Rolled Steel I-Beams with Random Imperfections // Procedia Engineering. 2013. No. 57. Pp. 504–514.</mixed-citation></citation-alternatives></ref><ref id="B20"><label>20.</label><citation-alternatives><mixed-citation xml:lang="en">Park J.S., Young-Jong K. (2004). Flexural-Torsional Buckling of Stepped Beams Subjected to Pure Bending. KSCE Journal of Civil Engineering, 8(1), 75-82.</mixed-citation><mixed-citation xml:lang="ru">Park J.S., Young-Jong K. Flexural-Torsional Buckling of Stepped Beams Subjected to Pure Bending // KSCE Journal of Civil Engineering. 2004. Vol. 8. No. 1. Pp. 75–82.</mixed-citation></citation-alternatives></ref><ref id="B21"><label>21.</label><citation-alternatives><mixed-citation xml:lang="en">Guiul I.S., Petru M., Danciu A.D., Ciitiilin M. (2014). Lateral Torsional Buckling Resistance of Steel Plate Girders According To Euronorms. The Eight International Conference “Bridges in Danube Basin”.</mixed-citation><mixed-citation xml:lang="ru">Guiul I.S., Petru M., Danciu A.D., Ciitiilin M. Lateral Torsional Buckling Resistance Of Steel Plate Girders According To Euronorms // The Eight International Conference “Bridges in Danube Basin. 2014.</mixed-citation></citation-alternatives></ref><ref id="B22"><label>22.</label><citation-alternatives><mixed-citation xml:lang="en">Gebre T.H., Negash N.A. (2018). The development of strength curve for compressive members using three different codes: 9 AISC, Euro Code and Russian steel construction). International scientific and applied conference “Engineering systems - 2018”, 59-67.</mixed-citation><mixed-citation xml:lang="ru">Gebre T.H., Negash N.A. The development of strength curve for compressive members using three different codes: 9 AISC, Euro Code and Russian steel construction) // Инженерные системы – 2018: труды научно-практической конференции с международным участием. 2018. С. 59–67.</mixed-citation></citation-alternatives></ref><ref id="B23"><label>23.</label><citation-alternatives><mixed-citation xml:lang="en">Mohammad Anwar-Us-Saadat, Mahmud A. (2018). The continuous strength method for lateral-torsional buckling of stainless steel I-beams. Thin-Walled Structures, (130), 148-160.</mixed-citation><mixed-citation xml:lang="ru">Mohammad Anwar-Us-Saadat, Mahmud A. The continuous strength method for lateral-torsional buckling of stainless steel I-beams // Thin-Walled Structures. 2018. No. 130. Pp. 148–160.</mixed-citation></citation-alternatives></ref><ref id="B24"><label>24.</label><citation-alternatives><mixed-citation xml:lang="en">Gardner L., Trahair N.S., Bradford M.A., Nethercot D.A. (2008). The Behaviour and Design of Steel Structures to EC3.</mixed-citation><mixed-citation xml:lang="ru">Gardner L., Trahair N.S., Bradford M.A., Nethercot D.A. The Behaviour and Design of Steel Structures to EC3. 2008.</mixed-citation></citation-alternatives></ref><ref id="B25"><label>25.</label><citation-alternatives><mixed-citation xml:lang="en">Chiew S.P., Lee C.K., Jin Y.F., Cai Y.Q. (2014). Impact of Structural Eurocodes on steel and composite structures. The IES Journal Part A: Civil &amp; Structural Engineering, 7(1), 1-10</mixed-citation><mixed-citation xml:lang="ru">Chiew S.P., Lee C.K., Jin Y.F., Cai Y.Q. Impact of Structural Eurocodes on steel and composite structures // The IES Journal Part A: Civil &amp; Structural Engineering. 2014. Vol. 7. No. 1. Pp. 1–10.</mixed-citation></citation-alternatives></ref><ref id="B26"><label>26.</label><citation-alternatives><mixed-citation xml:lang="en">Galishnikova V.V., Gebre T.H., Al-Sabri S.A.M., Saffia-Doe O. (2018). Second order structural theory for the stability analysis of columns. Structural mechanics of engineering constructions and buildings,14(3), 192-197.</mixed-citation><mixed-citation xml:lang="ru">Galishnikova V.V., Gebre T.H., Al-Sabri S.A.M., Saffia-Doe O. Second order structural theory for the stability analysis of columns // Строительная механика инженерных конструкций и сооружений. 2018. Т. 14. № 3. С. 192–197.</mixed-citation></citation-alternatives></ref><ref id="B27"><label>27.</label><citation-alternatives><mixed-citation xml:lang="en">Badari B., Papp F. (2015). On Design Method of Lateral-Torsional Buckling of Beams: State of the Art and a New Proposal for a General Type Design Method, Periodical Polytechnic Civil Engineering, 59(2), 179-192.</mixed-citation><mixed-citation xml:lang="ru">Badari B., Papp F. On Design Method of Lateraltorsional Buckling of Beams: State of the Art and a New Proposal for a General Type Design Method // Periodical Polytechnic Civil Engineering. 2015. Vol. 59. No. 2. Pp. 179–192.</mixed-citation></citation-alternatives></ref><ref id="B28"><label>28.</label><citation-alternatives><mixed-citation xml:lang="en">Yong D.J., Lopez A., Serna M.A. (2011). BeamColumn Resistance of Steel Members: A Comparative Study of AISC LRFD and EC3 Approaches. International Journal of Structural Stability and Dynamics, 11(2), 345-361.</mixed-citation><mixed-citation xml:lang="ru">Yong D.J., Lopez A., Serna M.A. Beam-Column Resistance of Steel Members: A Comparative Study of AISC LRFD and EC3 Approaches // International Journal of Structural Stability and Dynamics. 2011. Vol. 11. No. 2. Pp. 345–361.</mixed-citation></citation-alternatives></ref><ref id="B29"><label>29.</label><citation-alternatives><mixed-citation xml:lang="en">EC3 European committee for standardization. (2005). BS EN 1993-1-1:2005. Eurocode 3: Design of steel structures. Part 1-1: General rules and rules for buildings. UK, British Standards Institution.</mixed-citation><mixed-citation xml:lang="ru">BS EN 1993-1-1:2005. Eurocode 3: Design of steel structures. Part 1–1: General rules and rules for buildings / EC3 European committee for standardization. UK, British Standards Institution, 2005.</mixed-citation></citation-alternatives></ref><ref id="B30"><label>30.</label><citation-alternatives><mixed-citation xml:lang="en">Lindner J. (2003). Design of beams and beam columns. Progress in Structural Engineering and Materials, (5), 38-47.</mixed-citation><mixed-citation xml:lang="ru">Lindner J. Design of beams and beam columns, Technical University Berlin, Germany // Progress in Structural Engineering and Materials. 2003. No. 5. Pp. 38–47.</mixed-citation></citation-alternatives></ref></ref-list></back></article>
