Rotation Capacity of I-Shaped Beams under Alternating Axial Forces Based on Buckling-Mode Transitions
Publication: Journal of Structural Engineering
Volume 146, Issue 6
Abstract
During earthquakes, I-shaped beams (I-beams) in a braced structure are subjected to the flexural moment synchronized with reversed axial forces transmitted from buckling restrained braces. A prior study used the modified width–thickness ratio to evaluate the rotation capacity of I-beams that failed by local buckling under alternating axial force. Generally speaking, I-beams in braced frames are designed with larger sections to resist severe stress conditions. The buckling mode might thereby be switched to web-shear buckling, leading to inaccurate estimation of the rotation capacity when using existing equations. For this study, a classification index of buckling mode is constructed considering axial force and plate interactions. Moreover, a novel index and formulas are proposed for evaluating the rotation capacity of I-beams under alternating axial forces, including buckling-mode transition effects.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research was funded by a JSPS KAKENHI Grant No.17J03340 (Principal Investigator: Dr. Atsushi Suzuki) and by the JST Program on Open Innovation Platform with Enterprises, Research Institute and Academia (Principal Investigator: Professor Dr. Yoshihiro Kimura). Loading tests were conducted by Dr. Teruaki Yamanishi at the Hiroshima Institute of Technology using the facilities of Tokyo Institute of Technology. A series of analyses was supported by Ms. Kanako Abe. The authors extend the deepest gratitude to them for their contributions.
References
Ahmed, S. E. 2013. “Ultimate shear resistance of plate girders part 2—Hoglund theory.” Int. J. Civ. Environ. Eng. 7 (12): 918–926.
AIJ (Architectural Institute of Japan). 1990. Ultimate strength and deformation capacity of buildings in seismic design (1990). [In Japanese.] Tokyo: Maruzen Publishing.
AIJ (Architectural Institute of Japan). 2010. Recommendation for limit state design of steel structures. [In Japanese.] Tokyo: Maruzen Publishing.
AIJ (Architectural Institute of Japan). 2014. Recommended provisions for seismic damping systems applied to steel structures. [In Japanese.] Tokyo: Maruzen Publishing.
AIJ (Architectural Institute of Japan). 2018. Recommendations for stability design of steel structures. [In Japanese.] Tokyo: Maruzen Publishing.
AISC. 2005. Seismic provisions for structural steel buildings. Chicago: AISC.
AISC. 2010. Seismic provisions for structural steel buildings. Chicago: AISC.
AISC. 2016. Specification for structural steel buildings. Chicago: AISC.
Alinia, M. M., M. Shakiba, and H. R. Habashi. 2009. “Shear failure characteristics of steel plate girders.” Thin Walled Struct. 47 (12): 1498–1506. https://doi.org/10.1016/j.tws.2009.06.002.
Anthimos, A., M. Marius, and G. Victor. 2012. “Prediction of available rotation capacity and ductility of wide-flange beams part 2 applications.” J. Constr. Steel Res. 68 (1): 176–191. https://doi.org/10.1016/j.jcsr.2011.08.007.
Araújo, M., L. Macedo, and J. M. Castro. 2017. “Evaluation of the rotation capacity limits of steel members defined in EC8-3.” J. Constr. Steel Res. 135 (Aug): 11–29. https://doi.org/10.1016/j.jcsr.2017.04.004.
Basler, K. 1961. “Strength of plate girders in shear.” J. Struct. Div. 87 (7): 151–180.
CEN (European Committee for Standardization). 2003. Design of structures for earthquake resistance—Part 1: General rules, seismic actions and rules for buildings. Eurocode 8. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2005. Design of steel structures—Part 1-1: General rules and rules for buildings. Eurocode 3. Brussels, Belgium: CEN.
Cheng, X., Y. Chen, and L. Pan. 2013. “Experimental study of steel beam-columns composed of slender H-sections under cyclic bending.” J. Constr. Steel Res. 88 (Sep): 279–288. https://doi.org/10.1016/j.jcsr.2013.05.020.
Elkady, A., and D. G. Lignos. 2018. “Full-scale testing of deep wide-flange steel columns under multiaxis cyclic loading.” J. Struct. Eng. 144 (2): 04017189. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001937.
Gioncu, V., M. Marius, and A. Anthimos. 2012. “Prediction of available rotation capacity and ductility of wide-flange beams: Part 1: DUCTROT-M computer program.” J. Constr. Steel Res. 69 (1): 8–19. https://doi.org/10.1016/j.jcsr.2011.06.014.
Glassman, D. J., and M. E. Garlock. 2016. “A compression model for ultimate postbuckling shear strength.” Thin Walled Struct. 102 (May): 258–272. https://doi.org/10.1016/j.tws.2016.01.016.
Hanna, M. T. 2015. “Failure loads of web panels loaded in pure shear.” J. Constr. Steel Res. 105 (Feb): 39–48. https://doi.org/10.1016/j.jcsr.2014.10.021.
Ikarashi, K., R. Suekuni, T. Shinohara, and T. Wang. 2011. “Evaluation of plastic deformation capacity of H-shaped steel beams with newly proposed limitation value of plate slenderness.” [In Japanese.] J. Struct. Constr. Eng. (Trans. AIJ) 76 (668): 1865–1872. https://doi.org/10.3130/aijs.76.1865.
Kasai, K., and E. P. Popov. 1986a. “Cyclic web buckling control for shear link beams.” J. Struct. Eng. 112 (3): 505–523. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:3(505).
Kasai, K., and E. P. Popov. 1986b. “General behavior of WF steel shear link beams.” J. Struct. Eng. 112 (2): 362–382. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:2(362).
Kato, B. 1989. “Rotation capacity of H-section members as determined by local buckling.” J. Constr. Steel Res. 13 (2–3): 95–109. https://doi.org/10.1016/0143-974X(89)90008-4.
Kimura, Y. 2011. “Effect of loading hysteretic program on plastic deformation capacity and cumulative plastic deformation capacity for H-shaped beam with local buckling.” [In Japanese.] J. Struct. Constr. Eng. (Trans. of AIJ) 76 (664): 1143–1151. https://doi.org/10.3130/aijs.76.1143.
Kimura, Y., A. Suzuki, and K. Kasai. 2019. “Estimation of plastic deformation capacity for I-shaped beams with local buckling under compressive and tensile forces.” Japan Archit. Rev. 2 (1): 26–41. https://doi.org/10.1002/2475-8876.12066.
Kimura Y., T. Yamanishi, and K. Kasai. 2013. “Cyclic hysteresis behavior and plastic deformation capacity for H-shaped beams on local buckling under compressive and tensile forces.” [In Japanese.] J. Struct. Constr. Eng. (Trans. AIJ) 78 (689): 1307–1316. https://doi.org/10.3130/aijs.78.1307.
Lee, C. S., J. S. Davidson, and C. H. Yoo. 1996. “Shear buckling coefficients of plate girder web panels.” Comput. Struct. 59 (5): 789–795. https://doi.org/10.1016/0045-7949(95)00325-8.
Lee, C. S., D. Lee, and C. H. Yoo. 2013. “Flexure and shear interaction in steel I-girders.” J. Struct. Eng. 139 (11): 1882–1894. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000746.
MacRae, G. A. 1999. “The seismic response of steel frames.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Canterbury.
Nakashima, M., K. Takanashi, and H. Kato. 1990. “Test of steel beam-columns subject to sidesway.” J. Struct. Eng. 116 (9): 2516–2531. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:9(2516).
Nowell, J. D., and C. Uang. 2008. “Cyclic behavior of steel wide-flange columns subjected to large drift.” J. Struct. Eng. 134 (8): 1334–1342. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:8(1334).
Ozkula, G., J. Harris, and U. Chia-Ming. 2017. “Observations from cyclic tests on deep, wide-flange beam-columns.” Eng. J. First Quarter 54: 45–59.
Shahabedding, T., and B. W. Schafer. 2014. “Role of local slenderness in the rotation capacity of structural steel members.” J. Constr. Steel Res. 95 (Apr): 32–43. https://doi.org/10.1016/j.jcsr.2013.11.016.
Shokouhian, M., and Y. Shi. 2014. “Classification of I-section flexural members based on member ductility.” J. Constr. Steel Res. 95 (Apr): 198–210. https://doi.org/10.1016/j.jcsr.2013.12.004.
Suzuki, A., Y. Kimura, and K. Kasai. 2019. “Rotation capacity of I-shaped beams collapsed with lateral-torsional buckling under reversed axial forces.” Japan Archit. Rev. 2 (4): 451–464. https://doi.org/10.1002/2475-8876.12108.
Suzuki, T., K. Ikarashi, and Y. Tsuneki. 2001. “A study of collapse mode and plastic deformation capacity of H-shaped steel beams under shear bending.” [In Japanese.] J. Struct. Constr. Eng. (Trans. AIJ) 66: 185–191. https://doi.org/10.3130/aijs.66.185.
Takahashi, S., S. Kishiki, and A. Wada. 2007. “Experimental studies and investigations regarding usage of buckling restrained brace in present structures.” [In Japanese.] In Proc., Architectural Research Meetings in Kanto Chapter, 233–236. Tokyo: Architectural Institute of Japan.
Torsten, H. 1971. “Simply supported long thin plate I-girders without web stiffeners subjected to distributed transverse load.” In Proc., IABSE Reports of the Working Commissions, 85–97. Zürich, Switzerland: International Association for Bridge and Structural Engineering.
Torsten, H. 1997. “Shear buckling resistance of steel and aluminium plate girders.” Thin Walled Struct. 29 (1): 13–30. https://doi.org/10.1016/S0263-8231(97)00012-8.
Wael, F. R. 2015. “Local buckling of welded steel I-beams considering flange–web interaction.” Thin Walled Struct. 97 (Dec): 241–249. https://doi.org/10.1016/j.tws.2015.09.026.
Yiyi, C., C. Xin, and N. D. A. Nethercot. 2013. “An overview study on cross-section classification of steel H-sections.” J. Constr. Steel Res. 80 (Jan): 386–393. https://doi.org/10.1016/j.jcsr.2012.10.006.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 146 • Issue 6 • June 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Mar 12, 2019
Accepted: Oct 22, 2019
Published online: Mar 25, 2020
Published in print: Jun 1, 2020
Discussion open until: Aug 25, 2020
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.