<?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">42699</article-id><article-id pub-id-type="doi">10.22363/1815-5235-2024-20-5-418-432</article-id><article-id pub-id-type="edn">CPHQXO</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Analytical and numerical methods of analysis of structures</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Аналитические и численные методы расчета 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">Development of Analytical Method for Cable-stayed Bridges Considering Local Damages Caused by Failure of Supporting Cables</article-title><trans-title-group xml:lang="ru"><trans-title>Разработка аналитического метода для вантовых мостов с учетом локальных повреждений, вызванных обрывом несущих тросов</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9411-656X</contrib-id><name-alternatives><name xml:lang="en"><surname>Ahmed</surname><given-names>Ahmed Ramadan</given-names></name><name xml:lang="ru"><surname>Ахмед</surname><given-names>Рамадан Ахмед</given-names></name></name-alternatives><bio xml:lang="en"><p>graduate student</p></bio><bio xml:lang="ru"><p>аспирант Высшей школы промышленно-гражданского и дорожного строительства Инженерно-строительного института</p></bio><email>engahmedramadan103@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0003-0245-2086</contrib-id><contrib-id contrib-id-type="spin">2820-3305</contrib-id><name-alternatives><name xml:lang="en"><surname>Qais</surname><given-names>Qais Abdulrahman Ali</given-names></name><name xml:lang="ru"><surname>Кайс</surname><given-names>Кайс Абдулрахман Али</given-names></name></name-alternatives><bio xml:lang="en"><p>graduate student</p></bio><bio xml:lang="ru"><p>аспирант кафедры технологий строительства и конструкционных материалов, инженерная академия</p></bio><email>qaiseng@gmail.com</email><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0367-5375</contrib-id><contrib-id contrib-id-type="spin">6694-8297</contrib-id><name-alternatives><name xml:lang="en"><surname>Yermoshin</surname><given-names>Nikolay A.</given-names></name><name xml:lang="ru"><surname>Ермошин</surname><given-names>Николай Алексеевич</given-names></name></name-alternatives><bio xml:lang="en"><p>Doctor of Military Sciences, Professor of the Higher School of Industrial, Civil and Road Construction of the Institute of Civil Engineering</p></bio><bio xml:lang="ru"><p>доктор военных наук, профессор Высшей школы промышленно-гражданского и дорожного строительства Инженерно-строительного института</p></bio><email>ermonata@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Peter the Great St. Petersburg Polytechnic University</institution></aff><aff><institution xml:lang="ru">Санкт-Петербургский политехнический университет Петра Великого</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">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="2024-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2024</year></pub-date><volume>20</volume><issue>5</issue><issue-title xml:lang="en">VOL 20, NO5 (2024)</issue-title><issue-title xml:lang="ru">ТОМ 20, №5 (2024)</issue-title><fpage>418</fpage><lpage>432</lpage><history><date date-type="received" iso-8601-date="2025-01-31"><day>31</day><month>01</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2024, Ahmed A.R., Qais Q.A., Yermoshin N.A.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2024, Ахмед Р.А., Кайс К.А., Ермошин Н.А.</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="en">Ahmed A.R., Qais Q.A., Yermoshin N.A.</copyright-holder><copyright-holder xml:lang="ru">Ахмед Р.А., Кайс К.А., Ермошин Н.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/42699">https://journals.rudn.ru/structural-mechanics/article/view/42699</self-uri><abstract xml:lang="en"><p>Bridge structures are often subjected to extreme conditions such as rough weather, earthquakes, impacts from traffic accidents, and even blasts. Such extreme loads can cause damage to the anchorage zones as a result of high stress concentration and can lead to cable loss. Such extreme loads can cause dam-age to the anchorage zones as a result of a highstress concentration and can lead to cable loss. One of the main targets of this study is to develop an analytical method that increases our understanding of the behavior of long-span cable-supported bridges in the case of the failure of one or several cables,through this method, a formula can be deduced to calculate dynamic amplification factor (DAF) more accurately, which could be useful for academic research. In this study, a parallel-load bearing system is considered as a conceptual model of long-span cable-supported bridges. The objective is to investigate the structural robustness of long-span cablesupported bridges in a cable-loss scenario. The conceptual model consists of a beam suspended from cables (tension elements). A simplified model is intentionally selected to make the analytical approach easier. If examining the simplified model shows a certain phenomenon, a similar phenomenon in more sophisticated models can also be expected. The study considers multiple cable failures and employs an analytical approach, developing an approximation function for stress magnification factor in cable break scenarios, using least squares method. The proposed approximation function is accurate and less than 5% error-free in all tested systems, except for minor β values, and increasing β reduces stress magnifica-tion factor. The parameter β influences the calculation of the cable load. For systems with high β values, smaller design loads are necessary, allowing long-span cable-stayed bridges to be segmented into zones with varying β values. This approach enables the determination of minimum design loads for each zone, ultimately reducing cable design costs in cases of cable loss.</p></abstract><trans-abstract xml:lang="ru"><p>Мостовые сооружения часто подвергаются воздействию экстремальных условий, таких как непогода, землетрясения, дорожно-транспортные происшествия, а также взрывы. Экстремальные нагрузки могут привести к повреждению зон крепления в результате высокой концентрации напряжений и могут привести к повреждению стальных тросов. Основная цель исследования - разработка аналитического метода, расширяющего понимание поведения мостов с длинными пролетами на вантовых опорах в случае отказа одного или нескольких вант. С помощью этого метода можно вывести формулу для более точного расчета коэффициента динамического усиления. Система с параллельной нагрузки рассмотрена как концептуальная модель длиннопролетных мостов на вантовых опорах. Также исследована надежность конструкции мостов с длинными пролетами, опирающихся на ванты, в случае потери вантов. Концептуальная модель состоит из балки, подвешенной на тросах (натяжных элементах). Выбрана модель, упрощающая аналитический подход. Если изучение упрощенной модели показывает возможность ожидать аналогичного явления в более сложных моделях. Рассмотрены множественные отклонения кабеля. Использован аналитический подход в разработке функции аппроксимы для коэффициентов увеличения напряжения при обрыве кабеля с использованием метода наименьшего квадрата. Предложенная аппроксимирующая функция является точной и безошибочной менее чем на 5 % во всех протестированных системах, за исключением незначительных значений β, а увеличение β уменьшает коэффициент усиления напряжения. Параметры β влияют на расчёт нагрузки на кабель. Системы высоких значений β требуют меньших проектных нагрузок, которые позволяют сегментировать вантовый мост с большим пролетом на зоны различных значений β. Такой подход дает возможность определить минимальную проектную нагрузку на каждую зону, что в результате снижает затраты на монтаж кабеля при потере кабелей.</p></trans-abstract><kwd-group xml:lang="en"><kwd>bridge structures</kwd><kwd>progressive collapse</kwd><kwd>cable-stayed bridges</kwd><kwd>load conditions</kwd><kwd>analytical method</kwd><kwd>cable-loss scenario</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>мостовые конструкции</kwd><kwd>прогрессирующее обрушение</kwd><kwd>вантовые мосты</kwd><kwd>условия нагрузки</kwd><kwd>аналитический метод</kwd><kwd>сценарий обрыва кабеля</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Ahmed A.R., Ermoshin N. Assessment of the Cable-Stayed and Cable Damping System Used in the Russky Bridge and Determination of the Force Acting on the Bridge’s Cables. International Scientific Conference on Agricultural Machinery Industry “Interagromash. Cham, Springer Publ.; 2022;575:2719-2730. https://doi.org/10.1007/978-3-031-21219-2_304</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Fatollahzadeh A., Naghipour M., Abdollahzadeh G. Analysis of progressive collapse in cable-stayed bridges due to cable failure during earthquake. International Journal of Bridge Engineering. 2016;4(2):63-72.</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Das R., Pandey Soumya A.D., Mahesh M.J., Saini P., Anvesh S. Effect of dynamic unloading of cables in collapse progression through a cable stayed bridge. Asian journal of civil engineering. 2016;17(4):397-416. Available from: https://www.magiran.com/p1459145 (accessed: 17.03.2024).</mixed-citation></ref><ref id="B4"><label>4.</label><mixed-citation>Feng M., Ghosn M. Reliability-based progressive collapse analysis of highway bridges. Structural safety. 2016;63; 33-46. https://doi.org/10.1016/j.strusafe.2016.05.004</mixed-citation></ref><ref id="B5"><label>5.</label><mixed-citation>Kaiming B., Ren W.-X., Cheng P.-F., Hao H. Domino-type progressive collapse analysis of a multi-span simplysupported bridge: A case study. Engineering Structures. 2015;90:172-182. https://doi.org/10.1016/j.engstruct.2015.02.023</mixed-citation></ref><ref id="B6"><label>6.</label><mixed-citation>Ahmed R.A., Yermoshin N.A. Optimum design of cable-stayed bridges considering cable loss scenarios. Asian Journal of Civil Engineering. 2024;25(3):2801-2809. https://doi.org/10.1007/s42107-023-00946-1</mixed-citation></ref><ref id="B7"><label>7.</label><mixed-citation>Trong K., Iwasaki E. An approximate method of dynamic amplification factor for alternate load path in redundancy and progressive collapse linear static analysis for steel truss bridges. Case Studies in Structural Engineering. 2016;6:53-62. https://doi.org/10.1016/j.csse.2016.06.001</mixed-citation></ref><ref id="B8"><label>8.</label><mixed-citation>Uwe S. Avoiding disproportionate collapse of major bridges. Structural engineering international. 2009;19(3): 289-297. https://doi.org/10.2749/101686609788957838</mixed-citation></ref><ref id="B9"><label>9.</label><mixed-citation>Del Olmo C.M.M., Bengoechea A.C.A. Cable stayed bridges. Failure of a stay: Dynamic and pseudo-dynamic analysis of structural behaviour. Advances in Bridge Maintenance, Safety Management, and Life-Cycle Performance, Set of Book &amp; CD-ROM. CRC Press, 2015; p. 943-944.</mixed-citation></ref><ref id="B10"><label>10.</label><mixed-citation>Mozos C.M., Aparicio A.C. Parametric study on the dynamic response of cable stayed bridges to the sudden failure of a stay, Part I: Bending moment acting on the deck. Engineering Structures. 2010;32(10):3288-3300. https://doi.org/10.1016/j.engstruct.2010.07.003</mixed-citation></ref><ref id="B11"><label>11.</label><mixed-citation>Mozos C.M., Aparicio A.C. Parametric study on the dynamic response of cable stayed bridges to the sudden failure of a stay. Part II: Bending moment acting on the pylons and stress on the stays. Engineering Structures. 2010;32(10):3301-3312. https://doi.org/10.1016/j.engstruct.2010.07.002</mixed-citation></ref><ref id="B12"><label>12.</label><mixed-citation>Morin C.R., Fischer C.R. Kansas City Hyatt Hotel skyway collapse. Journal of Failure Analysis and Prevention. 2006;6:5-11. https://doi.org/10.1361/154770206X99271</mixed-citation></ref><ref id="B13"><label>13.</label><mixed-citation>Ahmed A.R., Yermoshin N.A. “Method for investigating the reliability of structural elements of cable-stayed supports’ anchorage: a case study of the Russky Bridge. Transportation Research Procedia. 2022;63:2887-2897. https://doi.org/10.1016/j.trpro.2022.06.336</mixed-citation></ref><ref id="B14"><label>14.</label><mixed-citation>Haberland M., Hass S., Starossek U. Robustness assessment of suspension bridges. Proceedings, 6th International Conference on Bridge Maintenance, Safety and Management (IABMAS 2012), Stresa, Lake Maggiore, Italy, July 8-12, 2012. p. 1617-1624.</mixed-citation></ref><ref id="B15"><label>15.</label><mixed-citation>Starossek U. Progressive collapse of structures. London: Thomas Telford; 2009.</mixed-citation></ref><ref id="B16"><label>16.</label><mixed-citation>Shoghijavan, Mohammad. Progressive collapse in long-span cable-supported bridges. Diss. epubli, 2020. https:// doi.org/10.15480/882.3016</mixed-citation></ref><ref id="B17"><label>17.</label><citation-alternatives><mixed-citation xml:lang="en">Ahmed R.A., Yermoshin N.A. Behavior and performance of cable bridges during sudden cable breakage. Society. 2023;4-2(31);20-26. (In Russ.) EDN: AYZJUN</mixed-citation><mixed-citation xml:lang="ru">Ахмед Р.А., Ермошин Н.А. Поведение и работоспособность вантовых мостов при внезапном обрыве кабеля. 2023. № 4-2 (31). C. 20-26. EDN: AYZJUN</mixed-citation></citation-alternatives></ref></ref-list></back></article>
