Technical Papers
Nov 25, 2022

Seismic Collapse Risk Assessment of Low-Aspect-Ratio Reinforced Concrete Shear Walls Using the FEMA P695 Methodology

Publication: Journal of Structural Engineering
Volume 149, Issue 2

Abstract

Several recent research studies have demonstrated that the seismic performance of low-aspect-ratio reinforced concrete (RC) shear walls (i.e., defined herein as walls with height-to-length ratios less than 2) has not been yet adequately quantified to allow for robust risk assessment. This is mainly attributed to the complex nonlinear flexure/shear interaction behavior of such walls, along with their wide spectrum of possible design parameters, leading to major discrepancies in their seismic performance. Despite this unique behavior, most building codes and design standards do not assign distinctive seismic performance factors for such walls. To address this, the main objective of the current study is to propose seismic performance factors for low-aspect-ratio RC shear walls when different wall geometrical configurations and design parameters (e.g., aspect ratios, axial load levels, and seismic design categories) are adopted. These factors are evaluated against the acceptance criteria of the FEMA P695 methodology for Quantification of Building Seismic Performance Factors. In this respect, a numerical model was developed and experimentally validated to simulate the seismic response of 36 low-aspect-ratio RC shear wall archetypes. The model was utilized to perform nonlinear static and dynamic analyses, and collapse fragility curves were then generated to assess the collapse risk of such wall archetypes following the FEMA P695 methodology. According to the methodology, the proposed seismic performance factors were assessed by quantifying the ratio between the median collapse intensity and the intensity of the maximum considered earthquake (MCE). The results showed that R factors of 2.0 and 3.0 for special low-aspect-ratio RC walls with low and high axial load levels, respectively, can limit the probability of collapse under the MCE and are subsequently able to meet the FEMA P695 acceptance criteria.

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Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

The financial support for this project was provided through the Natural Sciences and Engineering Research Council (NSERC) of Canada, Grant No. RGPIN-2020-06611.

References

Abdullah, S. A., and J. W. Wallace. 2021. “Drift capacity at axial failure of RC structural walls and wall piers.” J. Struct. Eng. 147 (6): 1–15. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003009.
Abouyoussef, M., and M. Ezzeldin. 2022. “Fragility and economic evaluations of high-strength reinforced concrete shear walls in nuclear power plants.” J. Struct. Eng. https://doi.org/10.1061/JSENDH/STENG-11397.
ACI (American Concrete Institute). 2019. Building code requirements for structural concrete. ACI 318-19. Farmington Hills, MI: ACI.
Adorno-Bonilla, C. M. 2016. “Shear strength and displacement capacity of squat reinforced concrete shear walls.” Ph.D. dissertation, Dept. of Civil Engineering, Univ. of Puerto Rico Mayagüez.
Alarcon, C., M. A. Hube, and J. C. de la Llera. 2014. “Effect of axial loads in the seismic behavior of reinforced concrete walls with unconfined wall boundaries.” Eng. Struct. 73 (Aug): 13–23. https://doi.org/10.1016/j.engstruct.2014.04.047.
Aly, N., M. AlHamaydeh, and K. Galal. 2020. “Quantification of the impact of detailing on the performance and cost of RC shear wall buildings in regions with high uncertainty in seismicity hazards.” J. Earthquake Eng. 24 (3): 421–446. https://doi.org/10.1080/13632469.2018.1453406.
ASCE. 2016. Minimum design loads and associated criteria for buildings and other structures. ASCE 7-16. Reston, VA: ASCE.
Baker, J. W. 2015. “Efficient analytical fragility function fitting using dynamic structural analysis.” Earthquake Spectra 31 (1): 579–599. https://doi.org/10.1193/021113EQS025M.
Baker, J. W., and C. A. Cornell. 2006. “Spectral shape, epsilon and record selection.” Earthquake Eng. Struct. Dyn. 35 (9): 1077–1095. https://doi.org/10.1002/eqe.571.
Calabrese, A., J. P. Almeida, and R. Pinho. 2010. “Numerical issues in distributed inelasticity modeling of RC frame elements for seismic analysis.” Supplement, J. Earthquake Eng. 14 (S1): 38–68. https://doi.org/10.1080/13632461003651869.
Chang, G. A., and J. B. Mander. 1994. Seismic energy based fatigue damage analysis of bridge columns: Part 1—Evaluation of seismic capacity. NCEER Technical Rep. No. NCEER-94-0006. Buffalo, NY: State Univ. of New York.
Colotti, V. 1993. “Shear behavior of RC structural walls.” J. Struct. Eng. 119 (3): 728–746. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:3(728).
Dabaghi, M., G. Saad, and N. Allhassania. 2019. “Seismic collapse fragility analysis of reinforced concrete shear wall buildings.” Earthquake Spectra 35 (1): 383–404. https://doi.org/10.1193/121717EQS259M.
Ezzeldin, M., L. Wiebe, and W. El-Dakhakhni. 2016. “Seismic collapse risk assessment of reinforced masonry walls with boundary elements using the FEMA P695 methodology.” J. Struct. Eng. 142 (11): 4016108. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001579.
Ezzeldin, M., and W. El-Dakhakhni. 2020. “Metaresearching structural engineering using text mining: Trend identifications and knowledge gap discoveries.” J. Struct. Eng. 146 (5): 04020061. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002523.
FEMA. 2009. Quantification of building seismic performance factors. FEMA P695. Washington, DC: FEMA.
Filippou, F. C., E. P. Popov, and V. V. Bertero. 1983. Effects of bond deterioration on hysteretic behavior of reinforced concrete joints. Berkeley, CA: Univ. of California.
Fintel, M. 1995. “Performance of buildings with shear walls in earthquakes of the last thirty years.” PCI J. 40 (3): 62–80. https://doi.org/10.15554/pcij.05011995.62.80.
Geschwindner, L. F. 2002. “A practical look at frame analysis, stability and leaning columns.” AISC Eng. J. 39 (4): 167–181.
Gogus, A. 2010. “Structural wall systems—Nonlinear modeling and collapse assessment of shear walls and slab-column frames.” Ph.D. dissertation, Dept. of Civil Engineering, Univ. of California.
Gogus, A., and J. W. Wallace. 2015. “Seismic safety evaluation of reinforced concrete walls through FEMA P695 methodology.” J. Struct. Eng. 141 (10): 1–17. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001221.
Gulec, C. K., and A. S. Whittaker. 2009. Performance-based assessment and design of squat reinforced concrete shear walls. Buffalo, NY: Multidisciplinary Center for Earthquake Engineering Research.
Gulec, C. K., and A. S. Whittaker. 2011. “Empirical equations for peak shear strength of low aspect ratio reinforced concrete walls.” ACI Struct. J. 108 (1): 80–89.
Hirosawa, M. 1975. Past experimental results on reinforced concrete shear walls and analysis on them. [In Japanese.]. Tokyo: Building Research Institute, Ministry of Construction.
Huang, C. C., and M. S. Sheu. 1988. “Experimental and theoretical study on aseismic behaviors of low-rise RC shear walls.” In Proc., 9th World Conf. on Earthquake Engineering. Tokyo: International Association for Earthquake Engineering.
Kazaz, I. 2013. “Analytical study on plastic hinge length of structural walls.” J. Struct. Eng. 139 (11): 1938–1950. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000770.
Kim, T., and Y. Chu. 2018. “Assessment of Korean seismic design practice for low-rise reinforced concrete wall-frame buildings.” J. Asian Archit. Build. Eng. 17 (3): 473–480. https://doi.org/10.3130/jaabe.17.473.
Koliou, M., A. Filiatrault, D. J. Kelly, and J. Lawson. 2016. “Buildings with rigid walls and flexible roof diaphragms. I: Evaluation of current US seismic provisions.” J. Struct. Eng. 142 (3): 04015166. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001438.
Kolozvari, K. 2013. “Analytical modeling of cyclic shear—Flexure interaction in reinforced concrete structural walls.” Ph.D. dissertation, Dept. of Civil Engineering, Univ. of California.
Kolozvari, K., C. Arteta, M. Fischinger, S. Gavridou, M. Hube, T. Isakovic, L. Lowes, K. Orakcal, J. Vasquez, and J. W. Wallace. 2018a. “Comparative study of state-of-the-art macroscopic models for planar reinforced concrete walls.” ACI Struct. J. 115 (6): 1637–1657. https://doi.org/10.14359/51710835.
Kolozvari, K., K. Orakcal, and J. W. Wallace. 2015a. “Modeling of cyclic shear-flexure interaction in reinforced concrete structural walls. I: Theory.” J. Struct. Eng. 141 (5): 04014135. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001059.
Kolozvari, K., K. Orakcal, and J. W. Wallace. 2015b. Shear-flexure interaction modeling for reinforced concrete structural walls and columns under reversed cyclic loading. PEER Rep. No. 2015/12. Berkeley, CA: Pacific Earthquake Engineering Research Center.
Kolozvari, K., K. Orakcal, and J. W. Wallace. 2018b. “New OpenSees models for simulating nonlinear flexural and coupled shear-flexural behavior of RC walls and columns.” Comput. Struct. 196 (Mar): 246–262. https://doi.org/10.1016/j.compstruc.2017.10.010.
Kolozvari, K., T. A. Tran, K. Orakcal, and J. W. Wallace. 2015c. “Modeling of cyclic shear-flexure interaction in reinforced concrete structural walls. II: Experimental validation.” J. Struct. Eng. 141 (5): 04014136. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001083.
Krolicki, J., J. Maffei, and G. M. Calvi. 2011. “Shear strength of reinforced concrete walls subjected to cyclic loading.” J. Earthquake Eng. 15 (Jun): 30–71. https://doi.org/10.1080/13632469.2011.562049.
Kuang, J. S., and Y. B. Ho. 2008. “Seismic behavior and ductility of squat reinforced concrete shear walls with nonseismic detailing.” ACI Struct. J. 105 (2): 225–231.
Lee, J., and J. Kim. 2015. “Seismic response modification factors of reinforced concrete staggered wall structures.” Mag. Concr. Res. 67 (20): 1070–1083. https://doi.org/10.1680/macr.14.00036.
Lefas, I. D., M. D. Kotsovos, and N. N. Ambraseys. 1990. “Behavior of reinforced concrete structural walls: Strength, deformation characteristics, and failure mechanism.” ACI Struct. J. 87 (1): 23–31.
Lu, X., and H. Wu. 2017. “Seismic collapse assessment of self-centering hybrid precast walls and conventional reinforced concrete walls.” Struct. Concr. 18 (6): 938–949. https://doi.org/10.1002/suco.201600174.
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 (Jun): 14–25. https://doi.org/10.1016/j.finel.2015.01.006.
Luna, B. N., J. P. Riveria, S. Epackachi, and A. S. Whittaker. 2018. Seismic response of low aspect ratio reinforced concrete walls for buildings and safety-related nuclear applications. Buffalo, NY: Multidisciplinary Center for Earthquake Engineering Research.
Luna, B. N., and A. S. Whittaker. 2019. “Peak strength of shear-critical reinforced concrete walls.” ACI Struct. J. 116 (2): 257–266. https://doi.org/10.14359/51712280.
Massone, L. M., K. Orakcal, and J. W. Wallace. 2009. “Modeling of squat structural walls controlled by shear.” ACI Struct. J. 106 (5): 646–655.
Massone, L. M., B. L. Sayre, and J. W. Wallace. 2017. “Load—Deformation responses of slender structural steel reinforced concrete walls.” Eng. Struct. 140 (Jun): 77–88. https://doi.org/10.1016/j.engstruct.2017.02.050.
Mattock, A. H., L. Johal, and H. C. Chow. 1975. “Shear transfer in reinforced concrete with moment or tension acting across the shear plane.” PCI J. 20 (4): 76–93. https://doi.org/10.15554/pcij.07011975.76.93.
Mattock, A. H., W. K. Li, and T. C. Wang. 1976. “Shear transfer in lightweight concrete.” PCI J. 21 (1): 20–39. https://doi.org/10.15554/pcij.01011976.20.39.
Menegotto, M., and P. E. Pinto. 1973. “Method of analysis for cyclically loaded R.C. plane frames including changes in geometry and non-elastic behavior of elements under combined normal force and bending.” In Proc., IABSE Symp. on Resistance and Ultimate Deformability of Structures Acted on by Well Defined Loads, 15–22. Zurich, Switzerland: International Association for Bridge and Structural Engineering.
Mohammadi-Doostdar, H. 1994. “Behaviour and design of earthquake resistant low-rise shear walls.” Ph.D. dissertation, Dept. of Civil Engineering, Univ. of Ottawa.
Mulas, M. G., D. Coronelli, and L. Martinelli. 2007. “Multi-scale modelling approach for the pushover analysis of existing RC shear walls—Part II: Experimental verification.” Earthquake Eng. Struct. Dyn. 36 (9): 1189–1207. https://doi.org/10.1002/eqe.676.
Nazari, Y. R., and M. Saatcioglu. 2017. “Seismic vulnerability assessment of concrete shear wall buildings through fragility analysis.” J. Build. Eng. 12 (Feb): 202–209. https://doi.org/10.1016/j.jobe.2017.06.006.
NBCC (National Building Code of Canada). 2015. National building code of Canada. Ottawa: NBCC.
NIST. 2010. Evaluation of the FEMA P-695 methodology for quantification of building seismic performance factors. Gaithersburg, MD: NIST.
Orakcal, K., J. P. Conte, and J. W. Wallace. 2004. “Flexural modeling of reinforced concrete walls—Model attributes.” ACI Struct. J. 101 (5): 688–698.
Orakcal, K., L. M. Massone, and D. Ulugtekin. 2019. “A hysteretic constitutive model for reinforced concrete panel elements.” Int. J. Concr. Struct. Mater. 13 (1): 1–23. https://doi.org/10.1186/s40069-019-0365-9.
Orakcal, K., L. M. Massone, and J. W. Wallace. 2006. Analytical modeling of reinforced concrete walls for predicting flexural and coupled-shear-flexural responses. Berkeley, CA: Pacific Earthquake Engineering Research Center.
Orakcal, K., D. Ulugtekin, and L. M. Massone. 2012. “Constitutive modeling of reinforced concrete panel behavior under cyclic loading.” In Proc., 15th World Conf. on Earthquake Engineering, 1–10. Lisbon, Portugal: Sociedade Portuguesa de Engenharia Sismica.
Orakcal, K., and J. W. Wallace. 2006. “Flexural modeling of reinforced concrete walls—Experimental verification.” ACI Struct. J. 103 (2): 196–206.
Paulay, T., and M. J. N. Priestley. 1992. “Structural walls.” In Seismic design of reinforced concrete and masonry buildings, 362–499. New York: Wiley.
PEER and ATC (Pacific Earthquake Engineering Research Center and Applied Technology Council). 2010. Modeling and acceptance criteria for seismic design and analysis of tall buildings. Richmond, CA: PEER.
Pozo, J. D., M. A. Hube, and Y. C. Kurama. 2020. “Quantitative assessment of nonlinear macro-models for global behavior and design of planar RC walls.” Eng. Struct. 224: 111190.
Rama Rao, G. V., N. Gopalakrishnan, K. P. Jaya, K. Muthumani, G. R. Reddy, and Y. M. Parulekar. 2016. “Studies on nonlinear behavior of shear walls of medium aspect ratio under monotonic and cyclic loading.” J. Perform. Constr. Facil. 30 (1): 1–14. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000724.
Razvi, S., and M. Saatcioglu. 1999. “Confinement model for high-strength concrete.” J. Struct. Eng. 125 (3): 281–289. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:3(281).
Salonikios, T. N. 2007. “Analytical prediction of the inelastic response of RC walls with low aspect ratio.” J. Struct. Eng. 133 (Jun): 844–854. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:6(844).
Salonikios, T. N., A. J. Kappos, I. A. Tegos, and G. G. Penelis. 1999. “Cyclic load behavior of low-slenderness reinforced concrete walls: Design basis and test results.” ACI Struct. J. 96 (4): 649–660.
Salonikios, T. N., A. J. Kappos, I. A. Tegos, and G. G. Penelis. 2000. “Cyclic load behavior of low-slenderness reinforced concrete walls: Failure modes, strength and deformation analysis, and design implications.” ACI Struct. J. 97 (1): 132–142.
Shayanfar, M. A., and M. M. Javidan. 2017. “Progressive collapse-resisting mechanisms and robustness of RC frame–shear wall structures.” J. Perform. Constr. Facil. 31 (5): 1–12. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001012.
SLDRCE (State Key Laboratory of Disaster Reduction in Civil Engineering Research Institute of Structural Engineering & Disaster Reduction). 2008. SLDRCE database on static tests of structural members and joint assemblies. Shanghai, China: Tongji Univ.
Standards New Zealand. 2004. Structural design actions. NZS 1170.5:2004. Wellington, NZ: Standards New Zealand.
Terzioglu, T., K. Orakcal, and L. M. Massone. 2018. “Cyclic lateral load behavior of squat reinforced concrete walls.” Eng. Struct. 160 (Apr): 147–160. https://doi.org/10.1016/j.engstruct.2018.01.024.
Thomsen, J. H., and J. W. Wallace. 2004. “Displacement-based design of slender reinforced concrete structural walls—Experimental verification.” J. Struct. Eng. 130 (4): 618–630. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:4(618).
Tran, T. A., and J. W. Wallace. 2015. “Cyclic testing of moderate-aspect-ratio reinforced concrete structural walls.” ACI Struct. J. 112 (6): 653–666. https://doi.org/10.14359/51687907.
Vamvatsikos, D., and C. A. Cornell. 2002. “Incremental dynamic analysis.” Earthquake Eng. Struct. Dyn. 31 (3): 491–514. https://doi.org/10.1002/eqe.141.
Vulcano, A., and V. Colotti. 1988. “Analytical modeling of R/C structural walls.” In Proc., Ninth World Conf. on Earthquake Engineering, 41–46. Tokyo: International Association for Earthquake Engineering.
Wallace, J. W., K. J. Elwood, and L. M. Massone. 2008. “Investigation of the axial load capacity for lightly reinforced wall piers.” J. Struct. Eng. 134 (9): 1548–1557. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:9(1548).
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.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 149Issue 2February 2023

History

Received: Feb 16, 2022
Accepted: Jul 15, 2022
Published online: Nov 25, 2022
Published in print: Feb 1, 2023
Discussion open until: Apr 25, 2023

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Ph.D. Candidate, Dept. of Civil Engineering, McMaster Univ., Hamilton, ON, Canada L8S 4L7; On Leave, Ain Shams Univ., Cairo, Egypt. ORCID: https://orcid.org/0000-0001-7295-467X. Email: [email protected]
Assistant Professor, Dept. of Civil Engineering, McMaster Univ., Hamilton, ON, Canada L8S 4L7 (corresponding author). ORCID: https://orcid.org/0000-0001-6104-1031. Email: [email protected]

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Cited by

  • Performance of Medium-Rise Buildings with Reinforced Concrete Shear Walls Designed for High Seismic Hazard, Materials, 10.3390/ma16051859, 16, 5, (1859), (2023).
  • Analysis of Reinforced Concrete Shear Walls with Different End Configurations for Seismic Design, Journal of Structural Engineering, 10.1061/JSENDH.STENG-11954, 149, 6, (2023).
  • Fragility and Economic Evaluations of High-Strength Reinforced Concrete Shear Walls in Nuclear Power Plants, Journal of Structural Engineering, 10.1061/JSENDH.STENG-11397, 149, 5, (2023).

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