Story-Based Stability of Multistory Steel Semibraced and Unbraced Frames with Semirigid Connections
Publication: Journal of Structural Engineering
Volume 147, Issue 1
Abstract
A simplified method is proposed for evaluating the stability of multistory, steel, semibraced, and unbraced frames with semirigid connections. The proposed method decomposes a frame into individual stories and evaluates the lateral stiffness of each story via the story-based stability approach with explicit, closed-form solutions. Lateral sway instability occurs when the lateral stiffness of any story diminishes to zero, and the story for which this occurs can be considered the weakest story in the frame. The results of the proposed method are theoretically verified via comparison to the results of finite-element analyses. The use of the proposed decomposition method requires assuming the buckled shape of the frame, which is shown to provide satisfactory approximations of critical loads for engineering practice. Parametric studies are conducted to assess the sensitivity of the results to the corresponding buckling shape parameters. The assumption of asymmetric buckling, which is generally consistent with the sway buckling mode in semibraced frames, produces reliable results in the proposed decomposition method.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request. These include the scripts used to run the numerical examples, all finite-element validation models, and the ABAQUS input files used in the stochastic error analysis.
Acknowledgments
The authors wish to thank the National Science and Engineering Research Council of Canada (NSERC) (RGPIN-203154-2013) for the financial support of this work.
References
AISC. 2017. Steel constructional manual. Chicago: AISC.
Bahaz, A., S. Amara, J. P. Jaspart, and J. F. Demonceau. 2017. “Analysis of the behaviour of semi rigid steel end plate connections.” In Vol. 149 of Proc., MATEC Web Conf. 2nd Int. Congress on Materials and Structural Stability, 1–6. Les Ulis, France: EDP Sciences. https://doi.org/10.1051/matecconf/201814902058.
Bažant, Z. P., and Y. Xiang. 1997. “Postcritical imperfection-sensitive buckling and optimal bracing of large regular frames.” J. Struct. Eng. 123 (4): 513–522. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:4(513).
Bridge, R. Q., and D. J. Fraser. 1987. “Improved G-factor method for evaluating effective lengths of columns.” J. Struct. Eng. 113 (6): 1341–1356. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:6(1341).
CSA (Canadian Standards Association). 2014. Design of steel structures. CSA S16. Toronto: CSA.
Duan, L., and W. F. Chen. 1999. “Effective length factors of compression members.” In Structural engineering handbook. Boca Raton, FL: CRC Press LLC.
Georgios, E. M., and C. J. Gantes. 2006. “Buckling strength of multi-story sway, non-sway and partially-sway frames with semi-rigid connections.” J. Constr. Steel Res. 62 (9): 893–905. https://doi.org/10.1016/j.jcsr.2005.11.019.
Gil-Martín, L. M., and E. Hernández-Montes. 2012. “Unified buckling length coefficient for sway and non-sway structures.” Eng. Struct. 40 (Jul): 436–444. https://doi.org/10.1016/j.engstruct.2012.03.008.
Guevara-Perez, L. T. 2012. “‘Soft story’ and ‘weak story’ in earthquake resistant design: A multidisciplinary approach.” In Proc., 15th World Conf. on Earthquake Engineering 2012. Red Hook, NY: Curran Associates, Inc.
Gunaydin, A., and R. Aydin. 2019. “A simplified method for instability and second-order load effects of framed structures: Story-based approach.” Struct. Des. Tall Special Build. 28 (4): 1–23. https://doi.org/10.1002/tal.1655.
Hellesland, J. 2009. “Extended second order approximate analysis of frames with sway-braced column interaction.” J. Constr. Steel Res. 65 (5): 1075–1086. https://doi.org/10.1016/j.jcsr.2008.08.008.
Hellesland, J., and R. Bjorhovde. 1996. “Improved frame stability analysis with effective lengths.” J. Struct. Eng. 122 (11): 1275–1283. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:11(1275).
Kim, N-I., and D-H. Choi. 2015. “System buckling analysis for multi-story frames subjected to nonconservative forces.” Int. J. Steel Struct. 15 (2): 285–297. https://doi.org/10.1007/s13296-015-6003-8.
LeMessurier, W. 1977. “A practical method of second order analysis—Part 2. Rigid frames.” Eng. J. 14 (2): 49–67.
Li, Q., A. Zou, and H. Zhang. 2016. “A simplified method for stability analysis of multi-story frames considering vertical interactions between stories.” Adv. Struct. Eng. 19 (4): 599–610. https://doi.org/10.1177/1369433216630191.
Liu, Y., and L. Xu. 2005. “Storey-based stability analysis of multi-storey unbraced frames.” Struct. Eng. Mech. 19 (6): 679–705. https://doi.org/10.12989/sem.2005.19.6.679.
Lui, E. M. 1992. “A novel approach for factor determination.” Eng. J. 29 (4): 150–159.
Ma, T. 2020. “The storey-based stability of steel frames subjected to variable gravity and fire loading.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of Waterloo.
Ma, T., and L. Xu. 2019. “The stability of semi-braced steel frames containing members with stepped segments.” In Proc., SDSS 2019 Int. Colloquium on Ductility of Steel Structures, 727–734. Prague, Czech Republic: Czech Technical Univ. in Prague.
Ma, T., and L. Xu. 2020a. “Effects of column imperfections on capacity of steel frames in variable loading.” J. Constr. Steel Res. 165 (Feb): 105819. https://doi.org/10.1016/j.jcsr.2019.105819.
Ma, T., and L. Xu. 2020b. “Shear deformation effects on stability of unbraced steel frames in variable loading.” J. Constr. Steel Res. 164 (Jan): 105811. https://doi.org/10.1016/j.jcsr.2019.105811.
Meghezzi-Larafi, I., and A. Tati. 2016. “The effective length estimation of columns in semi-rigid jointed braced frames.” J. Appl. Eng. Sci. Technol. 2 (2): 91–97.
Monforton, G., and T. Wu. 1963. “Matrix analysis of semi-rigidly connected frames.” J. Struct. Div. 89 (6): 13–42.
Newmark, N. 1949. “A simple approximate formula for effective end-fixity of columns.” J. Aeronaut. Sci. 16 (2): 116. https://doi.org/10.2514/8.11738.
Webber, A., J. J. Orr, P. Shepherd, and K. Crothers. 2015. “The effective length of columns in multi-storey frames.” Eng. Struct. 102 (Nov): 132–143. https://doi.org/10.1016/j.engstruct.2015.07.039.
Xu, L. 2002. “The buckling loads of unbraced PR frames under non-proportional loading.” J. Constr. Steel Res. 58 (4): 443–465. https://doi.org/10.1016/S0143-974X(01)00065-7.
Xu, L. 2003. “A NLP approach for evaluating storey-buckling strengths of steel frames under variable loading.” Struct. Multidiscip. Optim. 25 (2): 141–150. https://doi.org/10.1007/s00158-002-0280-5.
Xu, L., and Y. Liu. 2002a. “Storey-based effective length factors for unbraced PR frames.” Eng. J. 39 (1): 13–29.
Xu, L., and Y. Liu. 2002b. “Story stability of semi-braced steel frames.” J. Constr. Steel Res. 58 (4): 467–491. https://doi.org/10.1016/S0143-974X(01)00063-3.
Xu, L., and X. H. Wang. 2007. “Stability of multi-storey unbraced steel frames subjected to variable loading.” J. Constr. Steel Res. 63 (11): 1506–1514. https://doi.org/10.1016/j.jcsr.2007.01.010.
Yura, J. A. 1971. “The effective length of columns in unbraced frames.” Eng. J. 8 (2): 37–42.
Yura, J. A., and T. A. Helwig. 2005. Bracing for stability. Chicago: AISC and Structural Stability Research Council.
Ziemian, R. 2010. Guide to stability design criteria for metal structures. New York: Wiley.
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© 2020 American Society of Civil Engineers.
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Received: Nov 21, 2019
Accepted: Aug 15, 2020
Published online: Oct 25, 2020
Published in print: Jan 1, 2021
Discussion open until: Mar 25, 2021
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