Technical Papers
Oct 25, 2020

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.

Get full access to this article

View all available purchase options and get full access to this article.

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 K 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.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 147Issue 1January 2021

History

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

Permissions

Request permissions for this article.

Authors

Affiliations

Terence Ma, Ph.D.
Dept. of Civil and Environmental Engineering, Univ. of Waterloo, 200 University Ave. West, Waterloo, ON, Canada N2L 3G1.
Lei Xu, Ph.D. [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of Waterloo, 200 University Ave. West, Waterloo, ON, Canada N2L 3G1 (corresponding author). Email: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share