constructionСтроительство и реконструкцияBuilding and Reconstruction2073-7416Орловский государственный университет имени И.С. Тургенева10.33979/2073-7416-2023-108-4-47-56construction-629Research ArticleТЕОРИЯ ИНЖЕНЕРНЫХ СООРУЖЕНИЙ. СТРОИТЕЛЬНЫЕ КОНСТРУКЦИИTHEORY OF ENGINEERING STRUCTURES. BUILDING UNITSУЧЕТ ГИБКОСТИ ПРИ РАСЧЕТЕ ПРОЧНОСТИ ЦЕНТРАЛЬНО СЖАТЫХ ТРУБОБЕТОННЫХ КОЛОНН КВАДРАТНОГО СЕЧЕНИЯTAKING INTO ACCOUNT FLEXIBILITY WHEN CALCULATING THE STRENGTH OF CENTRALLY COMPRESSED SQUARE-SECTION TUBULAR CONCRETE COLUMNSКришанА. Л.KrishanA. L.

Кришан Анатолий Леонидович, доктор технических наук, профессор кафедры проектирования и строительства зданий

г. Магнитогорск

Krishan Anatoly L., doctor of technical sciences, professor of the department of design and construction of buildings

Magnitogorsk

kris_al@mail.ruРимшинВ. И.RimshinV. I.

Римшин Владимир Иванович, Член-корр. РААСН, доктор технических наук, профессор кафедры жилищно-коммунального комплекса

г. Москва

Rimshin Vladimir Iv., Corresponding member of the RAASN, doctor of technical sciences, professor of the department of housing and communal complex

Moscow

v.rimshin@niisf.ruАстафьеваМ. А.AstafievaM. A.

Астафьева Мария Анатольевна, кандидат технических наук, доцент кафедры проектирования и строительства зданий

г. Магнитогорск

Astafieva Maria An., candidate of technical sciences, associate professor of the department of design and construction of buildings

Magnitogorsk

skymanika@mail.ruСтупакА. А.StupakA. A.

Ступак Александра Алексеевна, аспирант кафедры проектирования и строительства зданий

г. Магнитогорск

Stupak Alexandra Al., postgraduate student of the department of design and construction of buildings

Magnitogorsk

aleksandra.stupak@mail.ruАнпиловС. М.AnpilovS. M.

Анпилов Сергей Михайлович, доктор технических наук, доцент, профессор кафедры железобетонных конструкций

г. Новосибирск

Anpilov Sergey M., doctor of technical sciences, associate professor, professor of the department of reinforced concrete structures

Novosibirsk

anpilovsm@gmail.comМагнитогорский государственный технический университет им. Г.И. Носова (МГТУ им. Г.И. Носова)Magnitogorsk State Technical University named after G.I. NosovМосковский государственный строительный университет (МГСУ)Moscow State University of Civil Engineering (MGSU)Новосибирский государственный архитектурно-строительный университет (НГАСУ)Novosibirsk State University of Architecture and Civil Engineering (NGASU)202326082023044756Copyright © Кришан А.Л., Римшин В.И., Астафьева М.А., Ступак А.А., Анпилов С.М., 20232023Кришан А.Л., Римшин В.И., Астафьева М.А., Ступак А.А., Анпилов С.М.Krishan A.L., Rimshin V.I., Astafieva M.A., Stupak A.A., Anpilov S.M.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://construction.elpub.ru/jour/article/view/629

В данной работе рассмотрена методика расчета несущей способности центрально сжатых трубобетонных колонн квадратного сечения. Методика основана на использовании нелинейной деформационной модели железобетона. Принятые диаграммы деформирования бетонного ядра и стальной трубы учитывают их сложное напряженное состояние. Предложенная методика учитывает переменную жесткость разных сечений по высоте сжатого стержня при оценке влияния его гибкости. Предельная нагрузка, соответствующая потери прочности или устойчивости элемента, определяется по одной методике с использованием одних и тех же формул. В результате чего отпадает необходимость в отдельной формуле для расчета критической силы. Дальнейшее сопоставление теоретических и опытных данных свидетельствует о приемлемости предложенной методики расчета для проектной практики.

The method of calculating the load-bearing capacity of centrally compressed tubular concrete columns of square section is considered. The technique is based on the use of a nonlinear deformation model of reinforced concrete. Accepted deformation diagrams of concrete core and steel pipe take into account their complex stress state. The proposed method takes into account the variable stiffness of different sections in height of the compressed rod when assessing the effect of its flexibility. The maximum load corresponding to the loss of strength or stability of the element is determined by the same method using the same formulas. As a result, there is no need for a separate formula for calculating the critical force. A comparison of theoretical and experimental data indicates the acceptability of the proposed calculation methodology for project practice.

трубобетонная колонна квадратного сечениясжатиегибкостьдеформационная модельнесущая способностьtubular concrete column of square sectioncompressionflexibilitydeformation modelbearing capacityReferencesGupta P., Singh, H. Numerical study of confinement in short concrete filled steel tube columns. Latin American Journal of Solids and Structures. 2014. Vol. 11. Pp. 1445-1462. doi:10.1590/S1679-78252014000800010.Gupta P., Singh, H. Numerical study of confinement in short concrete filled steel tube columns. Latin American Journal of Solids and Structures. 2014. Vol. 11. Pp. 1445-1462. doi:10.1590/S1679-78252014000800010.Huang C.S., Yeh Y.-K., Liu G.-Y., Hu H.-T., Tsai K.C., Weng Y.T., Wang S.H.,Wu M.-H. Axial Load Behavior of Stiffened Concrete-Filled Steel Columns. Journal of Structural Engineering-asce. 2002. Vol. 128. Pp. 1222–1230. doi:10.1061/(ASCE)0733-9445(2002)128:9(1222).Huang C.S., Yeh Y.-K., Liu G.-Y., Hu H.-T., Tsai K.C., Weng Y.T., Wang S.H.,Wu M.-H. Axial Load Behavior of Stiffened Concrete-Filled Steel Columns. Journal of Structural Engineering-asce. 2002. Vol. 128. Pp. 1222–1230. doi:10.1061/(ASCE)0733-9445(2002)128:9(1222).Giakoumelis G., La, D. Axial capacity of circular concrete-filled tube columns. Journal of Constructional Steel Research. 2004. Vol. 60. Pp. 1049-1068.Giakoumelis G., La, D. Axial capacity of circular concrete-filled tube columns. Journal of Constructional Steel Research. 2004. Vol. 60. Pp. 1049-1068.Lv J., Zhou, T., Li, K. Investigation and Application of a New Low-Carbon Material (Preplaced Aggregate Concrete) in Concrete-Filled Steel Tube Stub Columns. Sustainability. 2020. Vol. 12. P. 1768.Lv J., Zhou, T., Li, K. Investigation and Application of a New Low-Carbon Material (Preplaced Aggregate Concrete) in Concrete-Filled Steel Tube Stub Columns. Sustainability. 2020. Vol. 12. P. 1768.Schneider S.P. Axially Loaded Concrete-Filled Steel Tubes. Journal of Structural Engineering. 1998. Vol. 124. Pp. 1125–1138.Schneider S.P. Axially Loaded Concrete-Filled Steel Tubes. Journal of Structural Engineering. 1998. Vol. 124. Pp. 1125–1138.Yu Z.-W., Ding F.-X., Cai C. Experimental behavior of circular concrete-filled steel tube stub columns. Journal of Constructional Steel Research. 2007. Vol. 63. Pp. 165–174.Yu Z.-W., Ding F.-X., Cai C. Experimental behavior of circular concrete-filled steel tube stub columns. Journal of Constructional Steel Research. 2007. Vol. 63. Pp. 165–174.Zhang Q., Kamiński P., Deifalla A.F., Sufian M., Dyczko A., Ben Kahla N., Atig M. Compressive Strength of Steel Fiber-Reinforced Concrete Employing Supervised Machine Learning Techniques. Materials. 2022. Vol. 15. P. 4209.Zhang Q., Kamiński P., Deifalla A.F., Sufian M., Dyczko A., Ben Kahla N., Atig M. Compressive Strength of Steel Fiber-Reinforced Concrete Employing Supervised Machine Learning Techniques. Materials. 2022. Vol. 15. P. 4209.Ahmed M, Liang Q.Q, Patel V.I, Hadi M.N.S. Experimental and numerical studies of square concretefilled double steel tubular short columns under eccentric loading. Journal Engineering Structures. 2019. Vol. 197. P. 109419.Ahmed M, Liang Q.Q, Patel V.I, Hadi M.N.S. Experimental and numerical studies of square concretefilled double steel tubular short columns under eccentric loading. Journal Engineering Structures. 2019. Vol. 197. P. 109419.Auogh P., Sulong N.H.R., Ibrahim Z., Hsiao P-C. Nonlinear analysis of concrete-filled square doubleskin steel tubular columns under axial compression. Engineering Structures. 2020. Vol. 216. doi.org/10.1016/j.engstrukt.2020.110678.Auogh P., Sulong N.H.R., Ibrahim Z., Hsiao P-C. Nonlinear analysis of concrete-filled square doubleskin steel tubular columns under axial compression. Engineering Structures. 2020. Vol. 216. doi.org/10.1016/j.engstrukt.2020.110678.Cao B., Zhu L., Jiang X., Wang C. An Investigation of Compression Bearing Capacity of Concrete-Filled Rectangular Stainless Steel Tubular Columns under Axial Load and Eccentric Axial Load. Sustainability. 2022. Vol. 14. P. 8946. doi:10.3390/su14148946.Cao B., Zhu L., Jiang X., Wang C. An Investigation of Compression Bearing Capacity of Concrete-Filled Rectangular Stainless Steel Tubular Columns under Axial Load and Eccentric Axial Load. Sustainability. 2022. Vol. 14. P. 8946. doi:10.3390/su14148946.Du Y., Chen Z., Xiong M.-X. Experimental behavior and design method of rectangular concrete-filled tubular columns using Q460 high-strength steel. Journal Construction and Building Materials. 2016. Vol. 125. Pp. 856–872.Du Y., Chen Z., Xiong M.-X. Experimental behavior and design method of rectangular concrete-filled tubular columns using Q460 high-strength steel. Journal Construction and Building Materials. 2016. Vol. 125. Pp. 856–872.Krishan A.L., Troshkina E.A., Astafeva M.A. Strength of compressed concrete filled steel tube elements of circular and square cross- section. IOP Conference Series: Materials Science and Engineering. 2018. Vol. 451. No. 012053. doi:10.1088/1757-899X/451/1/012053.Krishan A.L., Troshkina E.A., Astafeva M.A. Strength of compressed concrete filled steel tube elements of circular and square cross- section. IOP Conference Series: Materials Science and Engineering. 2018. Vol. 451. No. 012053. doi:10.1088/1757-899X/451/1/012053.Zhu J-Y, Chan T-M. Experimental investigation on steel-tube-confined-concrete stub column with different cross-section shapes under uniaxial-compression. Journal of Constructional Steel Research. 2019. Vol. 162. P. 105729.Zhu J-Y, Chan T-M. Experimental investigation on steel-tube-confined-concrete stub column with different cross-section shapes under uniaxial-compression. Journal of Constructional Steel Research. 2019. Vol. 162. P. 105729.Wei Y, Zhang Y., Chai J., Wu G., Dong Z. Experimental investigation of rectangular concrete-filled fiber reinforced polymer (FRP)-steel composite tube columns for various corner radii. Composite Structures. 2020. Vol. 244. P. 112311. doi:10.1016/j.compstruct.2020.112311Wei Y, Zhang Y., Chai J., Wu G., Dong Z. Experimental investigation of rectangular concrete-filled fiber reinforced polymer (FRP)-steel composite tube columns for various corner radii. Composite Structures. 2020. Vol. 244. P. 112311. doi:10.1016/j.compstruct.2020.112311Goode C.D.,; Kuranovas A., Kvedaras A.K. Buckling of Slender Composite Concrete-Filled Steel Columns. Journal of Civil Engineering and Management. 2010. Vol. 16. Pp. 230–236.Goode C.D.,; Kuranovas A., Kvedaras A.K. Buckling of Slender Composite Concrete-Filled Steel Columns. Journal of Civil Engineering and Management. 2010. Vol. 16. Pp. 230–236.Huang Z., Li D., Uy B., Wang J. Behaviour and design of ultra- high- strength CFST members subjected to compression and bending. Journal of Constructional Steel Research. September 2020. doi:10.1016/j.jsr.2020.106351.Huang Z., Li D., Uy B., Wang J. Behaviour and design of ultra- high- strength CFST members subjected to compression and bending. Journal of Constructional Steel Research. September 2020. doi:10.1016/j.jsr.2020.106351.Le T.T, Asteris P.G and Lemonis M.E. Prediction of axial load capacity of rectangular concrete-filled steel tube columns using machine learning techniques. Engineering with Computers. 2021. doi:10.1007/s00366-021- 01461-0Le T.T, Asteris P.G and Lemonis M.E. Prediction of axial load capacity of rectangular concrete-filled steel tube columns using machine learning techniques. Engineering with Computers. 2021. doi:10.1007/s00366-021- 01461-0Shaker F.M.F., Ghanem G.M., Deifalla A.F.,; Hussei, I.S., Fawzy M.M. Influence of loading method and stiffening on the behavior of short and long CFST columns. Steel and Composite Structures. 2022. Vol. 44. Pp. 281–293.Shaker F.M.F., Ghanem G.M., Deifalla A.F.,; Hussei, I.S., Fawzy M.M. Influence of loading method and stiffening on the behavior of short and long CFST columns. Steel and Composite Structures. 2022. Vol. 44. Pp. 281–293.Uy B., Tao Z., Han L-H. Behaviour of short and slender concrete-filled stainless steel tubular columns. Journal of Constructional Steel Research. 2011. Vol. 67. Pp. 360-378.Uy B., Tao Z., Han L-H. Behaviour of short and slender concrete-filled stainless steel tubular columns. Journal of Constructional Steel Research. 2011. Vol. 67. Pp. 360-378.Ding F., Ying X., Zhou L., Yu Z. Unified calculation method and its application in determining the uniaxial mechanical properties of concrete. Frontiers of Architecture and Civil Engineering in China. 2011. Vol. 5. Pp. 381-393. doi:10.1007/s11709-011-0118-6.Ding F., Ying X., Zhou L., Yu Z. Unified calculation method and its application in determining the uniaxial mechanical properties of concrete. Frontiers of Architecture and Civil Engineering in China. 2011. Vol. 5. Pp. 381-393. doi:10.1007/s11709-011-0118-6.Кришан А.Л., Римшин В.И., Астафьева М.А. Сжатые трубобетонные элементы. Теория и практика. Москва: АСВ; 2020. 375 с.Krishan A.L., Rimshin V.I., Astafyeva M.A. Compressed pipe concrete elements. Theory and practice. Moscow: DIA; 2020. 375 p.

The authors declare that there are no conflicts of interest present.