Technical Papers
Mar 28, 2023

Proposed Stiffener Spacing Requirements for the Seismic Design of Short Links in Eccentrically Braced Steel Frames

Publication: Journal of Structural Engineering
Volume 149, Issue 6

Abstract

Links in eccentrically braced frames (EBFs) are designed with transverse web stiffeners to achieve the desired seismic performance targets established in current design standards. Prior studies have suggested that stiffener spacing requirements in the standards may be conservative. This paper proposes new stiffener spacing design requirements for short EBF links. The proposed limits were established on the basis of a methodology that combines a numerical solution of the classical problem of inelastic plate buckling of a thick plate under shear thrusts along with comparisons with available experimental data. The resultant design equation was verified through complementary continuum finite-element simulations of 18 wide-flange short links under symmetric cyclic loading. The finite-element simulations suggested that the proposed design equation reduce the stiffener requirements by about 35%, on average, relative to the current stiffener spacing requirements for short EBF links. Limitations and suggestions of future work are discussed.

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 that support the findings of this study are available from the corresponding author upon reasonable request, including the finite-element models used for validation and the finite-element models used in the parametric study section. Some or all data, models, or code generated or used during the study are available in a repository online in accordance with funder data retention policies, including the code used for the solution of inelastic plate buckling problem. The Jupyter Notebook code for the inelastic plate buckling problem can be publically accessed from https://github.com/NikolaosSkretas/pyInelasticPlateBuckling-pRitzMethod.

Acknowledgments

This work was partially supported by the Bodossakis Foundation through a scholarship granted to the first author. The authors thank Dr. Alexander Hartloper for his valuable help with the updated Voce-Chaboche (UVC) material model and Professor Taichiro Okazaki of Hokkaido University, Japan for providing part of the experimental data that are discussed in this paper.

References

AASHTO. 2014. AASHTO LRFD bridge design specifications. Washington, DC: AASHTO.
AISC. 2002. Seismic provisions for structural steel buildings. ANSI/AISC 341-02. Chicago: AISC.
AISC. 2016. Seismic provisions for structural steel buildings. ANSI/AISC 341-16. Chicago: AISC.
Arche, G. 2002. “Impact of higher strength steels on local buckling and overstrength of links in eccentrically braced frames.” M.S. thesis, Dept. of Civil, Architectural and Environmental Engineering, Univ. of Texas.
ASTM. 2016. Standard specification for general requirements for rolled structural steel bars, plates, shapes, and sheet piling. A992/A992M. West Conshohocken, PA: ASTM.
Azad, K. S., and C. Topkaya. 2017. “A review of research on steel eccentrically braced frames.” J. Constr. Steel Res. 128 (Jan): 53–73. https://doi.org/10.1016/j.jcsr.2016.07.032.
Bozkurt, M., and C. Topkaya. 2017. “Replaceable links with direct brace attachments for eccentrically braced frames.” Earthquake Eng. Struct. Dyn. 46 (13): 2121–2139. https://doi.org/10.1002/eqe.2896.
Bruneau, M., and G. MacRae. 2019. “Building structural systems in Christchurch’s post-earthquake reconstruction.” Earthquake Spectra 35 (4): 1953–1978. https://doi.org/10.1193/052818EQS126O.
CEN (European Committee for Standardization). 2005a. 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). 2005b. Hot rolled products of structural steels—Part 2: Technical delivery conditions for non-alloy structural steels. Brussels, Belgium: CEN.
Chao, S., K. Khandelwal, and S. El-Tawil. 2006. “Ductile web fracture initiation in steel shear links.” J. Struct. Eng. 132 (8): 1192–1200. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:8(1192).
Cravero, J., A. Elkady, and D. Lignos. 2020. “Experimental evaluation and numerical modeling of wide-flange steel columns subjected to constant and variable axial load coupled with lateral drift demands.” J. Struct. Eng. 146 (3): 04019222. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002499.
Dubina, D., A. Stratan, and F. Dinu. 2008. “Dual high-strength steel eccentrically braced frames with removable links.” Earthquake Eng. Struct. Dyn. 37 (15): 1703–1720. https://doi.org/10.1002/eqe.828.
Dusicka, P., A. Itani, and I. Buckle. 2010. “Cyclic behavior of shear links of various grades of plate steel.” J. Struct. Eng. 136 (4): 370–378. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000131.
ECCS (European Convention for Constructional Steelwork). 1985. Recommended testing procedures for assessing the behaviour of structural elements under cyclic loads. Brussels, Belgium: ECCS.
Engelhardt, M. D., and E. P. Popov. 1992. “Experimental performance of long links in eccentrically braced frames.” J. Struct. Eng. 118 (11): 3067–3088. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:11(3067).
Galvez, P. 2004. “Investigation of factors affecting web fractures in shear links.” M.S. thesis, Dept. of Civil, Architectural and Environmental Engineering, Univ. of Texas.
Gerard, G. 1948. “Critical shear stress of plates above the proportional limit.” J. Appl. Mech. 15 (1): 7–12. https://doi.org/10.1115/1.4009752.
Ghobarah, A., and T. Ramadan. 1994. “Bolted link-column joints in eccentrically braced frames.” Eng. Struct. 16 (1): 33–41. https://doi.org/10.1016/0141-0296(94)90102-3.
Hartloper, A. 2021. “Reduced-order models for simulating coupled geometric instabilities in steel beam-columns under inelastic cyclic straining.” Ph.D. thesis, School of Architecture, Civil and Environmental Engineering, École Polytechnique Fédérale de Lausanne.
Hartloper, A., A. de Castro e Sousa, and D. Lignos. 2021. “Constitutive modeling of structural steels: A nonlinear isotropic/kinematic hardening material model and its calibration.” J. Struct. Eng. 147 (4): 04021031. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002964.
Hencky, H. 1924. “Zur theorie plastischer deformationen und der hierdurch im material hervorgerufenen nachspannungen.” ZAMM 4 (4): 323–334. https://doi.org/10.1002/zamm.19240040405.
Hjelmstad, K. D., and E. P. Popov. 1983. “Cyclic behavior and design of link beams.” J. Struct. Eng. 109 (10): 2387–2403. https://doi.org/10.1061/(ASCE)0733-9445(1983)109:10(2387).
Inoue, T. 1996. “Analysis of plastic buckling of steel plates in shear based on the Tresca yield criterion.” Int. J. Solids Struct. 33 (26): 3903–3923. https://doi.org/10.1016/0020-7683(95)00222-7.
Ioan, A., A. Stratan, D. Dubină, M. Poljanšek, F. J. Molina, F. Taucer, P. Pegon, and G. Sabău. 2016. “Experimental validation of re-centring capability of eccentrically braced frames with removable links.” Eng. Struct. 113 (Mar): 335–346. https://doi.org/10.1016/j.engstruct.2016.01.038.
Itani, A., S. Elfass, and B. Douglas. 2003. “Behavior of built-up shear links under large cyclic displacement.” Eng. J. (New York) 40 (4): 221–234.
Ji, X., Y. Wang, Q. Ma, and T. Okazaki. 2016. “Cyclic behavior of very short steel shear links.” J. Struct. Eng. 142 (2): 04015114. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001375.
Ji, X., Y. Wang, Q. Ma, and T. Okazaki. 2017. “Cyclic behavior of replaceable steel coupling beams.” J. Struct. Eng. 143 (2): 04016169. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001661.
Kanno, R. 2016. “Advances in steel materials for innovative and elegant steel structures in Japan—A review.” Struct. Eng. Int. 26 (3): 242–253. https://doi.org/10.2749/101686616X14555428759361.
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).
Liu, X.-G., J.-S. Fan, Y.-F. Liu, Q.-R. Yue, and J.-G. Nie. 2017. “Experimental research of replaceable Q345GJ steel shear links considering cyclic buckling and plastic overstrength.” J. Constr. Steel Res. 134 (Jul): 160–179. https://doi.org/10.1016/j.jcsr.2017.03.018.
Lubliner, J. 1990. Plasticity theory. New York: Macmillan.
Malley, J. O., and E. P. Popov. 1984. “Shear links in eccentrically braced frames.” J. Struct. Eng. 110 (9): 2275–2295. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:9(2275).
Mansour, N., C. Christopoulos, and R. Tremblay. 2011. “Experimental validation of replaceable shear links for eccentrically braced steel frames.” J. Struct. Eng. 137 (10): 1141–1152. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000350.
McDaniel, C. C., C.-M. Uang, and F. Seible. 2003. “Cyclic testing of built-up steel shear links for the New Bay Bridge.” J. Struct. Eng. 129 (6): 801–809. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:6(801).
Mindlin, R. D. 1951. “Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates.” J. Appl. Mech. 18 (1): 31–38. https://doi.org/10.1115/1.4010217.
Okazaki, T., and M. Engelhardt. 2007. “Cyclic loading behavior of EBF links constructed of ASTM A992 steel.” J. Constr. Steel Res. 63 (6): 751–765. https://doi.org/10.1016/j.jcsr.2006.08.004.
Okazaki, T., M. D. Engelhardt, A. Drolias, E. Schell, J.-K. Hong, and C.-M. Uang. 2009. “Experimental investigation of link-to-column connections in eccentrically braced frames.” J. Constr. Steel Res. 65 (7): 1401–1412. https://doi.org/10.1016/j.jcsr.2009.02.003.
Ramberg, W., and W. Osgood. 1943. Description of stress-strain curves by three parameters. Washington, DC: National Advisory Committee for Aeronautics.
Richards, P. W., and C.-M. Uang. 2006. “Testing protocol for short links in eccentrically braced frames.” J. Struct. Eng. 132 (8): 1183–1191. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:8(1183).
Ricles, J. M., J. W. Fisher, L.-W. Lu, and E. J. Kaufmann. 2002. “Development of improved welded moment connections for earthquake-resistant design.” J. Constr. Steel Res. 58 (5): 565–604. https://doi.org/10.1016/S0143-974X(01)00095-5.
Ricles, J. M., and E. P. Popov. 1989. “Composite action in eccentrically braced frames.” J. Struct. Eng. 115 (5): 2046–2066. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:8(2046).
Ryu, H. 2005. “Effects of loading history on the behavior of links in seismic -resistant eccentrically braced frames.” M.S. thesis, Dept. of Civil, Architectural and Environmental Engineering, Univ. of Texas.
Sousa, A. C., Y. Suzuki, and D. Lignos. 2020. “Consistency in solving the inverse problem of the voce-chaboche constitutive model for plastic straining.” J. Eng. Mech. 146 (9): 04020097. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001839.
Stratan, A., D. Dubina, and F. Dinu. 2003. “Control of global performance of seismic resistant EBF with removable link.” In Proc., 4th Int. Specialty Conf. STESSA 2003—Behaviour of Steel Structures in Seismic Areas, edited by F. M. Mazzolani, 455–461. New York: Routledge.
Tan, K., and C. Christopoulos. 2016. “Development of replaceable cast steel links for eccentrically braced frames.” J. Struct. Eng. 142 (10): 04016079. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001550.
Temam, P. 1985. Mathematical problems in plasticity. Paris: Gauthier-Villars.
Volynkin, D., P. Dusicka, and G. C. Clifton. 2019. “Intermediate web stiffener spacing evaluation for shear links.” J. Struct. Eng. 145 (2): 04018257. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002244.
Wang, C. M., and T. M. Aung. 2007. “Plastic buckling analysis of thick plates using p-Ritz method.” Int. J. Solids Struct. 44 (18): 6239–6255. https://doi.org/10.1016/j.ijsolstr.2007.02.026.
Young, B. 1971. “Residual stresses in hot-rolled members.” In Proc., Int. Colloquium on Column Strength, International Association for Bridge and Structural Engineering, 25–38. Zurich, Switzerland: International Association for Bridge and Structural Engineering.
Ziemian, R. D. 2010. Guide to stability design criteria for metal structures. 6th ed. New York: Wiley.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 149Issue 6June 2023

History

Received: Jun 13, 2022
Accepted: Oct 27, 2022
Published online: Mar 28, 2023
Published in print: Jun 1, 2023
Discussion open until: Aug 28, 2023

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Ph.D. Candidate, Dept. of Civil Engineering, Univ. of Patras, Patras GR-265000, Greece. ORCID: https://orcid.org/0000-0002-4101-5263. Email: [email protected]
Theodore L. Karavasilis [email protected]
Associate Professor, Steel Structures, Dept. of Civil Engineering, Univ. of Patras, Patras GR-265000, Greece. Email: [email protected]
Associate Professor, Civil Engineering Institute, Resilient Steel Structures Laboratory École Polytechnique Fédérale de Lausanne, Lausanne CH-1015, Switzerland (corresponding author). ORCID: https://orcid.org/0000-0003-0682-4660. 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.

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