Strategies to Reduce and Quantify Seismic Damage in Controlled Rocking Masonry Walls
Publication: Journal of Structural Engineering
Volume 150, Issue 2
Abstract
Controlled rocking systems have been used in numerous structures around the world as a seismic force-resisting system. In a controlled rocking wall system, the wall is allowed to uplift from the foundation during seismic events, thus reducing the wall’s lateral stiffness and minimizing its corresponding seismic force demands. This rocking mechanism is often controlled using posttensioning (PT) tendons, resulting in negligible residual deformations compared to conventional walls (i.e., with fixed bases). For these reasons, promising strides have been taken to apply the concept of controlled rocking systems to masonry walls; however, several issues have been encountered when using PT tendons due to the brittle nature of the masonry material in compression. To address this, the current study aims to reduce damage and improve the performance of controlled rocking masonry walls (CRMWs) by omitting PT, instead relying on gravity loads and energy dissipation to control the seismic response. Three strategies to achieve this improved performance are proposed and investigated. The first strategy involves using externally mounted, replaceable energy dissipation devices; the second strategy introduces a steel base for the rocking wall; and the third strategy considers confinement plates in the rocking toe region of the wall. To assess these strategies, the study develops and validates a numerical model to capture the performance of previously tested CRMWs. The model is then used to develop and experimentally validate an index for masonry walls to quantify their damage based on numerical results. Next, a suite of 20 CRMWs is designed, 5 of which incorporate PT tendons while the remaining 15 walls omit PT and incorporate one or more of the proposed strategies to reduce damage. Numerical models of all of the archetype walls are subjected to reversed cyclic loading protocols, and the amount of damage incurred is compared across each archetype wall. The results demonstrate that the proposed modeling technique and damage index are effective at capturing the response and quantifying damage in CRMWs and that the proposed strategies result in a lower damage alternative to posttensioned CRMWs (PT-CRMWs).
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
Support for this project was provided through the Canadian Concrete Masonry Producers Association (CCMPA), the Canada Masonry Design Centre (CMDC), the Natural Sciences and Engineering Research Council (NSERC), and the Ontario Centres of Excellence (OCE).
References
ACI (American Concrete Institute). 2009. Requirements for design of a special unbonded post-tensioned precast shear wall satisfying ACI ITG-5.1 (ACI ITG-5.2-09) and commentary. Farmington Hills, MI: ACI.
ASTM. 2009. Standard test methods for cyclic (reversed) load test for shear resistance of vertical elements of the lateral force resisting systems for buildings. ASTM E2126. West Conshohocken, PA: ASTM.
Bažant, Z. P. 1984. “Size effect in blunt fracture: Concrete, rock, metal.” J. Eng. Mech. 110 (4): 518–535. https://doi.org/10.1061/(ASCE)0733-9399(1984)110:4(518).
CSA (Canadian Standards Association). 2014. Design of masonry structures. CSA S304-14. Mississauga, ON, Canada: CSA.
Dvorkin, E. N., D. Pantuso, and E. A. Repetto. 1995. “A formulation of the MITC4 shell element for finite strain elasto-plastic analysis.” Comput. Methods Appl. Mech. Eng. 125 (1–4): 17–40. https://doi.org/10.1016/0045-7825(95)00767-U.
East, M., M. Ezzeldin, and L. Wiebe. 2020. “Numerical modelling of a confinement system for controlled rocking masonry wall toes.” In Proc., 17th World Conf. on Earthquake Engineering, 17WCEE. Tokyo: Japan Association for Earthquake Engineering.
East, M., J. Li, M. Ezzeldin, and L. Wiebe. 2022. “Development of a flexural yielding energy dissipation device for controlled rocking systems.” J. Struct. Eng. 149 (1): 04022229. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003461.
East, M., A. Yassin, M. Ezzeldin, and L. Wiebe. 2023. “Development of controlled rocking masonry walls with energy dissipation accessible in a steel base.” J. Struct. Eng. 149 (5): 04023032. https://doi.org/10.1061/JSENDH.STENG-11944.
Eguchi, R. T., J. D. Goltz, C. E. Taylor, S. E. Chang, P. J. Flores, L. A. Johnson, H. A. Seligson, and N. C. Blais. 1998. “Direct economic losses in the Northridge earthquake: A three-year post-event perspective.” Earthquake Spectra 14 (2): 245–264. https://doi.org/10.1193/1.1585998.
El-Hashimy, T., M. Ezzeldin, M. Tait, and W. El-Dakhakhni. 2019. “Out-of-plane performance of reinforced masonry shear walls constructed with boundary elements.” J. Struct. Eng. 145 (8): 04019073. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002337.
El-Hashimy, T., M. Ezzeldin, M. Tait, and W. El-Dakhakhni. 2021. “Reinforced masonry shear wall blast response limits for ASCE 59 and CSA S850.” Eng. Struct. 239: 112183.
FEMA. 2018. Volume 5—Expected seismic performance of code-conforming buildings. Washington, DC: FEMA.
Guan, H., and Y.-C. Loo. 1997. “Flexural and shear failure analysis of reinforced concrete slabs and flat plates.” Adv. Struct. Eng. 1 (1): 71–85. https://doi.org/10.1177/136943329700100108.
Hallinan, P., and H. Guan. 2007. “Layered finite element analysis of one-way and two-way concrete walls with openings.” Adv. Struct. Eng. 10 (1): 55–72. https://doi.org/10.1260/136943307780150850.
Hassanli, R., M. A. ElGawady, and J. E. Mills. 2016. “Experimental investigation of in-plane cyclic response of unbonded posttensioned masonry walls.” J. Struct. Eng. 142 (5): 04015171. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001450.
Hassanli, R., M. A. ElGawady, and J. E. Mills. 2017. “In-plane flexural strength of unbonded post-tensioned concrete masonry walls.” Eng. Struct. 136 (Apr): 245–260. https://doi.org/10.1016/j.engstruct.2017.01.016.
Jafari, A., and R. Dugnani. 2018. “Estimation of load-induced damage and repair cost in post-tensioned concrete rocking walls.” J. Shanghai Jiaotong Univ. 23 (1): 122–131. https://doi.org/10.1007/s12204-018-1917-x.
Jirásek, M., and M. Bauer. 2012. “Numerical aspects of the crack band approach.” Comput. Struct. 110 (Nov): 60–78. https://doi.org/10.1016/j.compstruc.2012.06.006.
Kalliontzis, D., and A. E. Schultz. 2017. “Characterizing the in-plane rocking response of masonry walls with unbonded posttensioning.” J. Struct. Eng. 143 (9): 04017110. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001838.
Kim, T. H., K. M. Lee, Y. S. Chung, and H. M. Shin. 2005. “Seismic damage assessment of reinforced concrete bridge columns.” Eng. Struct. 27 (4): 576–592. https://doi.org/10.1016/j.engstruct.2004.11.016.
Koutras, A. A., and P. B. Shing. 2021. “Finite-element modeling of the seismic response of reinforced masonry wall structures.” Earthquake Eng. Struct. Dyn. 50 (4): 1125–1146. https://doi.org/10.1002/eqe.3388.
Laursen, P. T., and J. M. Ingham. 2004. “Structural testing of large-scale posttensioned concrete masonry walls.” J. Struct. Eng. 130 (10): 1497. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:10(1497).
Li, J. 2019. “Development of a flexural yielding energy dissipation device for controlled rocking masonry walls.” Master’s thesis, Dept. of Civil Engineering, McMaster Univ.
Lu, X., X. Lu, H. Guan, and L. Ye. 2013. “Collapse simulation of reinforced concrete high-rise building induced by extreme earthquakes.” Earthquake Eng. Struct. Dyn. 42 (5): 705–723. https://doi.org/10.1002/eqe.2240.
Lu, X., L. Xie, H. Guan, Y. Huang, and X. Lu. 2015. “A shear wall element for nonlinear seismic analysis of super-tall buildings using OpenSees.” Finite Elem. Anal. Des. 98 (Feb): 14–25. https://doi.org/10.1016/j.finel.2015.01.006.
Mazzoni, S., F. McKenna, M. H. Scott, and G. L. Fenves. 2006. “OpenSees command language manual.” Pac. Earthquake Eng. Res. Center 264 (1): 137–158.
MSJC (Masonry Standards Joint Committee). 2013. Building code requirements and specification for masonry structures. Longmont, CO: MSJC.
NIST. 2010. Evaluation of the FEMA P-695 methodology for quantification of building seismic performance factors. NIST GCR 10-917-8. Gaithersburg, MD: NIST.
Priestley, M., and D. Elder. 1983. “Stress-strain curves for unconfined and confined concrete masonry.” ACI J. Proc. 80 (3): 192–201. https://doi.org/10.14359/10834.
Rosenboom, O. A., and M. J. Kowalsky. 2004. “Reversed in-plane cyclic behavior of posttensioned clay brick masonry walls.” J. Struct. Eng. 130 (5): 787–798. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:5(787).
Yassin, A., M. Ezzeldin, T. Steele, and L. Wiebe. 2020. “Seismic collapse risk assessment of posttensioned controlled rocking masonry walls.” J. Struct. Eng. 146 (5): 04020060. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002599.
Yassin, A., M. Ezzeldin, and L. Wiebe. 2022a. “Experimental assessment of controlled rocking masonry shear walls without post-tensioning.” J. Struct. Eng. 148 (4): 04022018. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003307.
Yassin, A., M. Ezzeldin, and L. Wiebe. 2022b. “Experimental assessment of resilient controlled rocking masonry walls with replaceable energy dissipation.” J. Struct. Eng. 149 (3): 04022260. https://doi.org/10.1061/JSENDH.STENG-11258.
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© 2023 American Society of Civil Engineers.
History
Received: Jul 8, 2022
Accepted: Aug 4, 2023
Published online: Nov 16, 2023
Published in print: Feb 1, 2024
Discussion open until: Apr 16, 2024
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