Yıl: 2023 Cilt: 9 Sayı: 4 Sayfa Aralığı: 153 - 162 Metin Dili: İngilizce DOI: 10.20528/cjsmec.2023.04.004 İndeks Tarihi: 18-12-2023

On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section

Öz:
Recently, structural engineers have tended to design stronger and lighter structures due to economic reasons, technical developments in computer-aided design, and improvements in manufacturing. The demand for designing stronger and lighter structures has led to the compulsory considering structural efficiency and stability loss at the design level. Lateral-torsional buckling (LTB) is a major stability loss for web-tapered cantilevers with doubly symmetric I-section, which are aesthetic and structurally efficient. The elastic LTB loads of these cantilevers should be calculated at the design level since the LTB may happen before bending stress reaches yield. Studies related to the LTB of cantilevers are rare and require numerical solutions since the LTB mode shape of cantilevers is complex compared to simply supported beams. The present study introduces an analytical procedure based on the energy method for calculating elastic LTB of web-tapered cantilevers with doubly-symmetric I-section in two different forms. The analytical model considers different transverse load types, positions of loads, and web tapering degrees. The analytical solutions were validated with one-dimensional finite element analysis using a beam element. Excellent accord-ance between results was demonstrated. The general LTB behavior of web-tapered cantilevers with doubly symmetric I-section was clarified with detailed comments based on results obtained from the presented analytical model.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • Anderson JM, Trahair NS (1972). Stability of monosymmetric beams and cantilevers. Journal of Structural Division, 98(ST1), 269-86.
  • Andrade A, Camotim D (2005). Lateral–torsional buckling of singly symmetric tapered beams: Theory and applications. Journal of Engineering Mechanics, 131, 586–597.
  • Andrade A, Camotim D, Dinis PB (2007). Lateral-torsional buckling of singly symmetric web-tapered thin-walled I-beams: 1D model vs. shell FEA. Computers and Structures, 85, 1343–1359.
  • Andrade A, Camotim D, Providência e Costa P (2007). On the evaluation of elastic critical moments in doubly and singly symmetric I section cantilevers. Journal of Constructional Steel Research, 63, 894-908.
  • Asgarian B, Soltani M, Mohri, F (2013). Lateral-torsional buckling of tapered thin-walled beams with arbitrary cross-sections. Thin-Walled Structures, 62, 96-108.
  • Assadi M, Roeder CW (1985). Stability of continuously restrained cantilevers. Journal of Engineering Mechanics, 111(12), 1440–1456.
  • Aydin, R, Gunaydin A, Kirac N (2015). On the evaluation of critical lateral buckling loads of prismatic steel beams. Steel and Composite Structures, 18(3), 603-621.
  • Aydin R, Ozbasaran H, Kirac N, Gunaydin A (2013). Lateral torsional buckling of double angle and tee cantilevers: A parametric study. Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing, Civil-Comp Press, Stirlingshire, Scotland.
  • Belaid T, Ammari F, Adman R. (2018). Influence of load position on critical lateral torsional buckling moment of laterally restrained beam at tense flange. Asian Journal of Civil Engineering, 19, 839–48.
  • Benyamina AB, Meftah, S., Mohri F, Daya EM (2013). Analytical solutions attempt for lateral torsional buckling of doubly symmetric web-tapered I-beams. Thin-Walled Structures, 56, 1207-1219.
  • Bresser D, Ravenshorst GJP, Hoogenboom PCJ. (2020). General formulation of equivalent moment factor for elastic lateral torsional buckling of slender rectangular sections and I-sections. Engineering Structures, 207, 110-230.
  • Kim B, Li L, Edmonds A (2016). Analytical solutions of lateral-torsional buckling of castellated beams. International Journal of Structural Stability and Dynamics, 16, 155044.
  • Kitipornchai S, Dux PF, Richter NJ (1984). Buckling and bracing of cantilevers. Journal of the Structural Division, 110 (9), 2250-2262.
  • Kitipornchai S, Trahair NS (1972). Elastic stability of tapered I-beams. Journal of the Structural Division, 98(ST3), 713–728
  • Kitipornchai S, Trahair NS (1975). Elastic behaviour of tapered mono-symmetric I-beams. Journal of the Structural Division, 101(ST8), 1661–1678
  • Kováč M. (2012). Lateral-torsional buckling of web-tapered I-beams 1D and 3D FEM approach. Procedia Engineering, 40, 217–22.
  • Kucukler M, Gardner L. (2019). Design of web-tapered steel beams against lateral-torsional buckling through a stiffness reduction method. Engineering Structures, 190, 246–61.
  • Kus J (2015). Lateral-torsional buckling steel beams with simultaneously tapered flanges and web. Steel and Composite Structures, 19(4), 897–916.
  • LTBeamN (2015). Centre Technique Industriel de la Construction Metallique.
  • Mohammadi E, Hosseini SS, Rohanimanesh SM (2016). Elastic lateral-torsional buckling strength and torsional bracing stiffness requirement for monosymmetric I-beams. Thin-Walled Structures, 104, 116-125.
  • Mohri F, Bouzerira C, Potier-Ferry M (2008). Lateral buckling of thin-walled beam-column elements under combined axial and bending loads. Thin-Walled Structures, 46(3), 290–302.
  • Mohri F, Brouki A, Roth JC (2003). Theoretical and Numerical Stability Analyses of Unrestrained, Mono-Symmetric Thin-Walled Beams. Journal of Constructional Steel Research, 59(1), 63-90.
  • Mohri F, Damil N, Potier-Ferry M (2013). Buckling and lateral buckling interaction in thin-walled beam-column elements with mono-symmetric cross sections. Applied Mathematical Modelling, 37(5), 3526–3540.
  • Osmani A, Meftah SA (2018). Lateral buckling of tapered thin walled bi-symmetric beams under combined axial and bending loads with shear deformations allowed. Engineering Structures, 165, 76–87.
  • Ozbasaran H (2013). Finite differences approach for calculating elastic lateral torsional buckling moment of cantilever I sections. Anadolu University Journal of Science and Technology- A- Applied Science and Engineering, (2), 143–152.
  • Ozbasaran H (2014). A parametric study on the evaluation of lateral torsional buckling of European IPE and IPN beams. World Academy of Science, Engineering and Technology International Journal of Civil and Environmental Engineering, 8(7), 783-788.
  • Ozbasaran H (2019). Convergence of the Rayleigh–Ritz Method for buckling analysis of arbitrarily configured I-section beam–columns. Archive of Applied Mechanics, 89, 2397–414.
  • Ozbasaran H, Aydın R, Dogan M (2015). An alternative design procedure for lateral-torsional buckling of cantilever I-beams. Thin-Walled Structures, 90, 235-242.
  • Pham PV (2022). An innovated theory and closed form solutions for the elastic lateral torsional buckling analysis of steel beams/columns strengthened with symmetrically balanced GFRP laminates. Engineering Structures, 256, 114-046.
  • Saoula A, Meftah SA, Mohri F, Daya EM (2016). Lateral buckling of box beam elements under combined axial and bending loads. Journal of Constructional Steel Research, 116, 141-155.
  • Saoula A, Selim MM, Meftah SA, Benyamina AB, Tounsi A (2021). Simplified analytical method for lateral torsional buckling assessment of RHS beams with web openings. Structures, 34, 2848–60.
  • Torkamani MAM, Roberts ER (2009). Energy equations for elastic flexural-torsional buckling analysis of plane structures. Thin-Walled Structures, 47(4), 463-473.
  • Trahair NS (1993). Flexural-Torsional Buckling of Structures. CRC Press, London, UK.
  • Trahair NS (2017). Lateral buckling of tapered members. Engineering Structures, 151, 518–26.
  • Trinh DK, Nguyen DH, Bui HC, Nguyen MT (2023). Lateral torsional buckling of I-section simply supported beams with stepped height. Steel Construction, 16, 1-6.
  • Wang CM, Kitipornchai S (1986). On stability of monosymmetric cantilevers. Engineering Structures, 8, 168-180.
  • Xiao G, Ho S, Papangelis JP (2023). Semi analytical solutions for flexural-torsional buckling of thin-walled cantilever beams with doubly symmetric cross-sections. Structural Engineering and Mechanics, 87, 541-554.
  • Yilmaz T (2023). Rapid evaluation of lateral-torsional buckling of European standard I-section cantilevers. Mechanics Based Design of Structures and Machines.
  • Yilmaz T, Kirac N (2017). Analytical and parametric investigations on lateral torsional buckling of European IPE and IPN beams. International Journal of Steel Structures, 17, 695–709.
  • Yilmaz T, Kirac N, Anil Ö (2019). An alternative evaluation of the LTB behavior of mono-symmetric beam-columns. Steel and Composite Structures, 30, 471–81.
  • Yilmaz, T, Kirac N, Kilic T (2017). Lateral-torsional buckling of european wide flange I-section beams. Proceedings of the 2nd World Congress on Civil Structural and Environmental Engineering (CSEE’17).
  • Yuan W, Kim B, Chen C (2013). Lateral-torsional buckling of steel web tapered tee-section cantilevers, Journal of Constructional Steel Research, 87, 31–37.
  • Zhang L, Tong GS (2016). Lateral buckling of simply supported C- and Z-section purlins with top flange horizontally restrained. Thin-Walled Structures, 99, 155-167.
  • Zhang L, Tong GS (2008). Elastic flexural-torsional buckling of thin-walled cantilevers. Thin-Walled Structures, 46, 27–37.
  • Zhang WF, Liu YC, Hou GL, Chen KS, Ji J, Deng Y (2016). Lateral-torsional buckling analysis of cantilever beam with tip lateral elastic brace under uniform and concentrated load. International Journal of Steel Structures, 16, 1161–73.
APA Yilmaz T, SERTÇELİK M, SENGEL H (2023). On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section. , 153 - 162. 10.20528/cjsmec.2023.04.004
Chicago Yilmaz Tolga,SERTÇELİK MUSTAFA,SENGEL HASAN SELIM On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section. (2023): 153 - 162. 10.20528/cjsmec.2023.04.004
MLA Yilmaz Tolga,SERTÇELİK MUSTAFA,SENGEL HASAN SELIM On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section. , 2023, ss.153 - 162. 10.20528/cjsmec.2023.04.004
AMA Yilmaz T,SERTÇELİK M,SENGEL H On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section. . 2023; 153 - 162. 10.20528/cjsmec.2023.04.004
Vancouver Yilmaz T,SERTÇELİK M,SENGEL H On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section. . 2023; 153 - 162. 10.20528/cjsmec.2023.04.004
IEEE Yilmaz T,SERTÇELİK M,SENGEL H "On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section." , ss.153 - 162, 2023. 10.20528/cjsmec.2023.04.004
ISNAD Yilmaz, Tolga vd. "On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section". (2023), 153-162. https://doi.org/10.20528/cjsmec.2023.04.004
APA Yilmaz T, SERTÇELİK M, SENGEL H (2023). On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section. Challenge Journal of Structural Mechanics, 9(4), 153 - 162. 10.20528/cjsmec.2023.04.004
Chicago Yilmaz Tolga,SERTÇELİK MUSTAFA,SENGEL HASAN SELIM On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section. Challenge Journal of Structural Mechanics 9, no.4 (2023): 153 - 162. 10.20528/cjsmec.2023.04.004
MLA Yilmaz Tolga,SERTÇELİK MUSTAFA,SENGEL HASAN SELIM On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section. Challenge Journal of Structural Mechanics, vol.9, no.4, 2023, ss.153 - 162. 10.20528/cjsmec.2023.04.004
AMA Yilmaz T,SERTÇELİK M,SENGEL H On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section. Challenge Journal of Structural Mechanics. 2023; 9(4): 153 - 162. 10.20528/cjsmec.2023.04.004
Vancouver Yilmaz T,SERTÇELİK M,SENGEL H On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section. Challenge Journal of Structural Mechanics. 2023; 9(4): 153 - 162. 10.20528/cjsmec.2023.04.004
IEEE Yilmaz T,SERTÇELİK M,SENGEL H "On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section." Challenge Journal of Structural Mechanics, 9, ss.153 - 162, 2023. 10.20528/cjsmec.2023.04.004
ISNAD Yilmaz, Tolga vd. "On the evaluation of lateral-torsional buckling of web-tapered cantilevers with doubly symmetric I-section". Challenge Journal of Structural Mechanics 9/4 (2023), 153-162. https://doi.org/10.20528/cjsmec.2023.04.004