Title:
Review of Seismic Response and Strength Requirements of Reinforced Concrete Squat Walls
Author(s):
Ahmed Arafa
Publication:
Structural Journal
Volume:
118
Issue:
4
Appears on pages(s):
17-30
Keywords:
reinforced concrete; shear distortion; shear strength; sliding shear; squat walls
DOI:
10.14359/51732641
Date:
7/1/2021
Abstract:
A large proportion of reinforced concrete (RC) shear walls constructed in North America are classified as squat walls with height-to-length ratios typically less than 2.0. The safety of this wall category depends on the designer’s ability to successfully predict how such a structural element behaves under seismic loading and reasonably predict the ultimate strength and failure mode. Extensive work was done by different research groups around the globe to investigate the behavior of RC squat walls. The focus was given on a broad spectrum of topics with the aim of codifying prescriptive design recommendations. In this paper, the up-to-date research pertaining to RC squat walls has been collected and introduced in the form of failure modes and the most effective parameters. The main characteristics of load-lateral displacement hysteretic response have been discussed. The collected literature serves as a threshold to examine the accuracy of shear equations that are being used in North American design codes. The examination included other equations and formulas that are available in the literature. The paper concludes by briefly summarizing future challenges and possible solutions through collaborative and individual research efforts.
Related References:
ACI Committee 318, 2014, “Building Code Requirements for Structural Concrete (ACI 318-14) and Commentary (ACI 318R-14),” American Concrete Institute, Farmington Hills, MI, 503 pp.
Athanasopoulou, A., and Parra-Montesinos, G., 2013, “Experimental Study on the Seismic Behavior of High- Performance Fiber-Reinforced Concrete Low-Rise Walls,” ACI Structural Journal, V. 110, No. 5, Sept.-Oct., pp. 767-778.
Baek, J.-W., and Park, H.-G., 2015, “Shear-Friction Strength of RC Walls with 550 MPa Bars,” Proceedings, Tenth Pacific Conference on Earthquake Engineering Building an Earthquake-Resilient Pacific, Sydney, Australia, 9 pp.
Baek, J. W.; Park, H. G.; Lee, J. H.; and Bang, C. J., 2017b, “Cyclic Loading Test for Walls of Aspect Ratio 1.0 and 0.5 with Grade 550 MPa Shear Reinforcing Bars,” ACI Structural Journal, V. 114, No. 4, July-Aug., pp. 969-982. doi: 10.14359/51689680
Baek, J. W.; Park, H. G.; Lee, J. H.; and Shin, H. M., 2018, “Shear-Friction Strength of Low-Rise Walls with 550 MPa (80 ksi) Reinforcing Bars under Cyclic Loading,” ACI Structural Journal, V. 115, No. 1, Jan., pp. 65-78.
Baek, J. W.; Park, H. G.; Shin, H. M.; and Yim, S. J., 2017a, “Cyclic Loading Test for Reinforced Concrete Walls (Aspect Ratio 2.0) with Grade 550 MPa (80 ksi) Shear Reinforcing Bars,” ACI Structural Journal, V. 114, No. 3, May-June, pp. 673-686. doi: 10.14359/51689437
Barda, F.; Hanson, J. M.; and Corley, W. G., 1977, “Shear Strength of Low-Rise Walls with Boundary Elements,” Reinforced Concrete Structures in Seismic Zones, SP-53, American Concrete Institute, Farmington Hills, MI, pp. 149-202.
Beekhuis, W. J., 1971, “An Experimental Study of Squat Shear Walls,” ME Report, Department of Civil Engineering, University of Canterbury, Christchurch, New Zealand, 132 pp.
Bimschas, M., 2010, “Displacement-Based Seismic Assessment of Existing Bridges in Regions of Moderate Seismicity,” PhD thesis, Institute of Structural Engineering, Swiss Federal Institute of Technology Zurich, Zurich, Switzerland.
Birkeland, P. W., and Birkeland, H. W., 1966, “Connections in Precast Concrete Construction,” ACI Journal Proceedings, V. 63, No. 3, Mar., pp. 345-368.
Blandon, C. A.; Arteta, C. A.; Bonett, R. L.; Carrillo, J.; Beyer, K.; and Almeida, J. P., 2018, “Response of Thin Lightly-Reinforced Concrete Walls under Cyclic Loading,” Engineering Structures, V. 176, pp. 175-187. doi: 10.1016/j.engstruct.2018.08.089
Brueggen, B. L., 2009, “Performance of T-Shaped Reinforced Concrete Structural Walls under Multi-directional Loading,” PhD thesis, University of Minnesota, Minneapolis, MN, 482 pp.
Cardenas, A. E.; Russell, H. G.; and Corley, W. G., 1980, “Strength of Low-Rise Structural Walls,” Reinforced Concrete Structures Subjected to Wind and Earthquake Forces, SP-63, American Concrete Institute, Farmington Hills, MI, pp. 221-242.
Carrillo, J., and Alcocer, S. M., 2013, “Shear Strength of Reinforced Concrete Walls for Seismic Design of Low-Rise Housing,” ACI Structural Journal, V. 110, No. 3, May-June, pp. 415-426.
Carrillo, J.; Lizarazo, J. M.; and Bonett, R., 2015, “Effect of Lightweight and Low-Strength Concrete on Seismic Performance of Thin Lightly-Reinforced Shear Walls,” Engineering Structures, V. 93, pp. 61-69. doi: 10.1016/j.engstruct.2015.03.022
Chen, X.-L.; Fu, J.-P.; Hao, X.; Yang, H.; and Zhang, D.-Y., 2019, “Seismic Behavior of Reinforced Concrete Squat Walls with High Strength Reinforcements: An Experimental Study,” Structural Concrete, V. 20, No. 3, pp. 911-931. doi: 10.1002/suco.201800181
Cheng, M. Y.; Hung, S. C.; Lequesne, R. D.; and Lepage, A., 2016, “Earthquake-Resistant Squat Walls Reinforced with High-Strength Steel,” ACI Structural Journal, V. 113, No. 5, Sept.-Oct., pp. 1065-1076. doi: 10.14359/51688825
Chiou, Y. J.; Mo, Y. L.; Hsiao, F. P.; Liou, Y. W.; and Sheu, M. S., 2004, “Behavior of High Seismic Performance Walls,” Proceedings, Thirteenth World Conference on Earthquake Engineering (WCEE), Vancouver, BC, Canada, Aug. 1-6.
CSA A23.3, 2014, “Design of Concrete Structures Standard,” Canadian Standards Association, Mississauga, ON, Canada, 240 pp.
Dabbagh, H., 2005, “Strength and Ductility of High-Strength Concrete Shear Walls under Reversed Cyclic Loading,” PhD thesis, School of Civil and Environmental Engineering, University of New South Wales, Sydney, Australia, 423 pp.
Doostdar, H. M., 1994, “Behaviour and Design of Earthquake Resistant Low-Rise Shear Walls,” PhD thesis, University of Ottawa, ON, Canada, 250 pp.
Dragan, D.; Plumier, A.; and Degée, H., 2018, “Experimental Study Regarding Shear Behavior of Concrete Walls Reinforced by Multiple Steel Profiles,” High Tech Concrete: Where Technology and Engineering Meet, D. Hordijk, and M. Luković, eds., Springer, Berlin, Germany, pp. 1077-1084.
Emamy Farvashany, F.; Foster, S. J.; and Rangan, B. V., 2008, “Strength and Deformation of High-Strength Concrete Shearwalls,” ACI Structural Journal, V. 105, No. 1, Jan.-Feb., pp. 21-29.
Ganesan, N.; Indira, P.; and Seena, P., 2015, “Reverse Cyclic Tests on High Performance Cement Concrete Shear Walls with Barbells,” Advances in Structural Engineering, V. Matsagar, ed. Springer, Berlin, Germany, pp. 2309-2321.
Gulec, C. K., and Whittaker, A. S., 2009, “Performance-Based Assessment and Design of Squat Reinforced Concrete Shear Walls,” Technical Report MCEER-09-0010, State University of New York at Buffalo, Buffalo, NY, 291 pp.
Gulec, C. K., and Whittaker, A. S., 2011, “Empirical Equations for Peak Shear Strength of Low Aspect Ratio Reinforced Concrete Walls,” ACI Structural Journal, V. 108, No. 1, Jan.-Feb., pp. 80-89.
Gupta, A., and Rangan, B. V., 1996, “Studies on Reinforced Concrete Structural Walls,” Research Report No. 2/96, School of Civil Engineering, Curtin University of Technology, Perth, Australia, 165 pp.
Habibi, F.; Sheikh, S. A.; Vecchio, F.; and Panesar, D. K., 2018, “Effects of Alkali-Silica Reaction on Concrete Squat Shear Walls,” ACI Structural Journal, V. 115, No. 5, Sept., pp. 1329-1339. doi: 10.14359/51702238
Hidalgo, P. A.; Ledezma, C. H.; and Jordan, R. M., 2002, “Seismic Behavior of Squat Reinforced Concrete Shear Walls,” Earthquake Spectra, V. 18, No. 2, pp. 287-308. doi: 10.1193/1.1490353
Hube, M.; Santa María, H.; and López, M., 2017, “Experimental Campaign of Thin Reinforced Concrete Shear Walls for Low-Rise Constructions,” Proceedings, Sixteenth World Conference on Earthquake Engineering, Santiago, Chile, Jan. 9-13.
Hube, M. A.; María, H. S.; Arroyo, O.; Vargas, A.; Almeida, J.; and López, M., 2020, “Seismic Performance of Squat Thin Reinforced Concrete Walls for Low-Rise Constructions,” Earthquake Spectra, V. 36, No. 3, pp. 1074-1095. doi: 10.1177/8755293020906841
Hwang, S. J.; Fang, W. H.; Lee, H. J.; and Yu, H.-W., 2001, “Analytical Model for Predicting Shear Strength of Squat Walls,” Journal of Structural Engineering, ASCE, V. 127, No. 1, pp. 43-50. doi: 10.1061/(ASCE)0733-9445(2001)127:1(43)
Iliya, R., and Bertero, V. V., 1980, “Effects of Amount and Arrangement of Wall-Panel Reinforcement on Hysteretic Behavior of Reinforced Concrete Walls,” Report No UCB/EERC-80/04, Earthquake Engineering Research Center, University of California, Berkeley, Berkeley, CA.
Kassem, W., 2015, “Shear Strength of Squat Walls: A Strut-and-Tie Model and Closed-Form Design Formula,” Engineering Structures, V. 84, pp. 430-438. doi: 10.1016/j.engstruct.2014.11.027
Kim, J., and Park, H., 2019, “Cyclic Test on Squat RC Shear Walls with Thick Flanges,” Proceedings, The 2019 World Congress on Advances in Structural Engineering and Mechanics (ASEM19), Jeju Island, Korea.
Kuang, J. S., and Ho, Y. B., 2008, “Seismic Behavior and Ductility of Squat Reinforced Concrete Shear Walls with Nonseismic Detailing,” ACI Structural Journal, V. 105, No. 2, Mar.-Apr., pp. 225-231.
Lefas, L. D.; Kotsovos, M. D.; and Ambraseys, N. N., 1990, “Behavior of Reinforced Concrete Structural Walls: Strength, Deformation Characteristics, and Failure Mechanism,” ACI Structural Journal, V. 87, No. 1, Jan.-Feb., pp. 23-31.
Li, B.; Pan, Z.; and Xiang, W., 2015, “Experimental Evaluation of Seismic Performance of Squat RC Structural Walls with Limited Ductility Reinforcing Details,” Journal of Earthquake Engineering, V. 19, No. 2, pp. 313-331. doi: 10.1080/13632469.2014.962669
Liao, W.-I.; Zhong, J.; Lin, C. C.; Mo, Y. L.; and Loh, C.-H., 2004, “Experimental Studies of High Seismic Performance Shear Walls,” Proceedings, Thirteenth World Conference on Earthquake Engineering (WCEE), Vancouver, BC, Canada, Aug. 1-6.
Looi, D. T. W.; Su, R. K. L.; Cheng, B.; and Tsang, H. H., 2017, “Effects of Axial Load on Seismic Performance of Reinforced Concrete Walls with Short Shear Span,” Engineering Structures, V. 151, pp. 312-326. doi: 10.1016/j.engstruct.2017.08.030
Lopes, M. S., 2001a, “Experimental Shear-Dominated Response of RC Walls: Part I: Objectives, Methodology and Results,” Engineering Structures, V. 23, No. 3, pp. 229-239. doi: 10.1016/S0141-0296(00)00041-9
Lopes, M. S., 2001b, “Experimental Shear-Dominated Response of RC Walls. Part II: Discussion of Results and Design Implications,” Engineering Structures, V. 23, No. 5, pp. 564-574. doi: 10.1016/S0141-0296(00)00042-0
Luna, B. N.; Rivera, J. P.; and Whittaker, A. S., 2015, “Seismic Behavior of Low-Aspect-Ratio Reinforced Concrete Shear Walls,” ACI Structural Journal, V. 112, No. 5, Sept.-Oct., pp. 593-604. doi: 10.14359/51687709
Ma, J., and Li, B., 2018, “Experimental and Analytical Studies on H-Shaped Reinforced Concrete Squat Walls,” ACI Structural Journal, V. 115, No. 2, Mar., pp. 425-438. doi: 10.14359/51701144
Ma, J., and Li, B., 2019, “Seismic Behavior of L-Shaped RC Squat Walls under Various Lateral Loading Directions,” Journal of Earthquake Engineering, V. 23, No. 3, pp. 422-443. doi: 10.1080/13632469.2017.1326424
Maier, J., and Thürlimann, B., 1985, “Bruchversuche an Stahlbetonscheiben,” Institut für Baustatik und Konstruktion, Eidgen√ssische Technische Hochschule (ETH) Zürich, Zürich, Switzerland, 130 pp.
Mast, R. F., 1968, “Auxiliary Reinforcement in Concrete Connections,” Journal of the Structural Division, V. 94, No. 6, pp. 1485-1504. doi: 10.1061/JSDEAG.0001977
Mattock, A. H., 1974, “Shear Transfer in Concrete Having Reinforcement at an Angle to the Shear Plane,” Shear in Reinforced Concrete, SP-42, American Concrete Institute, Farmington Hills, MI, pp. 17-42.
Mattock, A. H., 1981, “Cyclic Shear Transfer and Type of Interface,” Journal of the Structural Division, V. 107, No. 10, pp. 1945-1964. doi: 10.1061/JSDEAG.0005795
Mattock, A. H.; Johal, L.; and Chow, H. C., 1975, “Shear Transfer in Reinforced Concrete with Moment or Tension Acting across the Shear Plane,” PCI Journal, V. 20, No. 4, pp. 76-93. doi: 10.15554/pcij.07011975.76.93
Mestyanek, J. M., 1986, “The Earthquake Resistance of Reinforced Concrete Structural Walls of Limited Ductility,” MS thesis, University of Canterbury, Christchurch, New Zealand.
Oesterle, R. G.; Fiorato, A. E.; Aristizabal-Ochoa, J. D.; and Corley, W. G., 1980, “Hysteretic Response of Reinforced Concrete Structural Walls,” Reinforced Concrete Structures Subjected to Wind and Earthquake Forces, SP-63, American Concrete Institute, Farmington Hills, MI, pp. 243-273.
Orakcal, K.; Massone, L. M.; and Wallace, J. W., 2009, “Shear Strength of Lightly Reinforced Wall Piers and Spandrels,” ACI Structural Journal, V. 106, No. 4, July-Aug., pp. 455-465.
Park, H. G.; Baek, J. W.; Lee, J. H.; and Shin, H. M., 2015, “Cyclic Loading Tests for Shear Strength of Low-Rise Reinforced Concrete Walls with Grade 550 MPa Bars,” ACI Structural Journal, V. 112, No. 3, May-June, pp. 299-310. doi: 10.14359/51687406
Park, R., and Paulay, T., 1975, Reinforced Concrete Structures, John Wiley and Sons, New York.
Paulay, T., 1972, “Some Aspects of Shear Wall Design,” Bulletin of the New Zealand Society for Earthquake Engineering, V. 5, No. 3.
Paulay, T.; Priestley, M. J. N.; and Synge, A. J., 1982, “Ductility in Earthquake Resisting Squat Shearwalls,” ACI Journal Proceedings, V. 79, No. 4, July-Aug., pp. 257-269.
Peng, Y.; Wu, H.; and Zhuge, Y., 2015, “Strength and Drift Capacity of Squat Recycled Concrete Shear Walls under Cyclic Loading,” Engineering Structures, V. 100, pp. 356-368. doi: 10.1016/j.engstruct.2015.06.025
Pilakoutas, K., and Elnashai, A., 1995, “Cyclic Behavior of RC Cantilever Walls, Part I: Experimental Results,” ACI Structural Journal, V. 92, No. 3, May-June, pp. 271-281.
Qiao, Q.; Cao, W.; Qian, Z.; Li, X.; Zhang, W.; and Liu, W., 2017, “Cyclic Behavior of Low Rise Concrete Shear Walls Containing Recycled Coarse and Fine Aggregates,” Materials (Basel), V. 10, No. 12, p. 1400 doi: 10.3390/ma10121400
Saatcioglu, M., 1991, “Hysteretic Shear Response of Low-Rise Walls,” Proceedings, International Workshop on Concrete Shear in Earthquake, The National Science Foundation, University of Houston, TX, pp. 105-114.
Salonikios, T. N.; Kappos, A. J.; Tegos, I. A.; and Penelis, G. G., 1999, “Cyclic Load Behavior of Low-Slenderness Reinforced Concrete Walls: Design Basis and Test Results,” ACI Structural Journal, V. 96, No. 4, July-Aug., pp. 649-660.
Salonikios, T. N.; Kappos, A. J.; Tegos, I. A.; and Penelis, G. G., 2000, “Cyclic Load Behavior of Low-Slenderness Reinforced Concrete Walls: Failure Modes, Strength and Deformation Analysis, and Design Implications,” ACI Structural Journal, V. 97, No. 1, pp. 132-141.
Sánchez-Alejandre, A., and Alcocer, S. M., 2010, “Shear Strength of Squat Reinforced Concrete Walls Subjected to Earthquake Loading—Trends and Models,” Engineering Structures, V. 32, No. 8, pp. 2466-2476. doi: 10.1016/j.engstruct.2010.04.022
Schuler, H., and Trost, B., 2016, “Sliding Shear Resistance of Squat Walls under Reverse Loading: Mechanical Model and Parametric Study,” ACI Structural Journal, V. 113, No. 4, July-Aug., pp. 711-721. doi: 10.14359/51688748
Shaingchin, S.; Lukkunaprasit, P.; and Wood, S. L., 2007, “Influence of Diagonal Web Reinforcement on Cyclic Behavior of Structural Walls,” Engineering Structures, V. 29, No. 4, pp. 498-510. doi: 10.1016/j.engstruct.2006.05.016
Sittipunt, C., and Wood, S. L., 1995, “Influence of Web Reinforcement on the Cyclic Response of Structural Walls,” ACI Structural Journal, V. 92, No. 6, Nov.-Dec., pp. 745-756.
Sittipunt, C.; Wood, S. L.; Lukkunaprasit, P.; and Pattararattanakul, P., 2001, “Cyclic Behavior of Reinforced Concrete Structural Walls with Diagonal Web Reinforcement,” ACI Structural Journal, V. 98, No. 4, July-Aug., pp. 554-562.
Takahashi, S.; Yoshida, K.; Ichinose, T.; Sanada, Y.; Matsumoto, K.; Fukuyama, H.; and Suwada, H., 2013, “Flexural Drift Capacity of Reinforced Concrete Wall with Limited Confinement,” ACI Structural Journal, V. 110, No. 1, Jan.-Feb., pp. 95-104.
Terzioglu, T.; Orakcal, K.; and Massone, L. M., 2018, “Cyclic Lateral Load Behavior of Squat Reinforced Concrete Walls,” Engineering Structures, V. 160, pp. 147-160. doi: 10.1016/j.engstruct.2018.01.024
Whyte, C. A., and Stojadinovic, B., 2014, “Effect of Ground Motion Sequence on Response of Squat Reinforced Concrete Shear Walls,” Journal of Structural Engineering, ASCE, V. 140, No. 8, p. 04014004. doi: 10.1061/(ASCE)ST.1943-541X.0000912
Wiradinata, S., 1985, “Behaviour of Squat Walls Subjected to Load Reversals,” MS thesis, Department of Civil Engineering, University of Toronto, Toronto, ON, Canada.
Wood, S. L., 1990, “Shear Strength of Low-Rise Reinforced Concrete Walls,” ACI Structural Journal, V. 87, No. 1, Jan.-Feb., pp. 99-107.
Woods, J.; Cruz-Noguez, C.; Lau, D.; and Khabra, J., 2015, “Seismic Strengthening of Reinforced Concrete Squat Walls Using Externally Bonded CFRP Sheets,” Proceedings, CSCE 2015 Regina Conference “Building on Our Growth Opportunities,” Regina, SK, Canada.
Yang, W.; Zheng, S.-S.; Zhang, D.; Sun, L.; and Gan, C.-L., 2016, “Seismic Behaviors of Squat Reinforced Concrete Shear Walls under Freeze-Thaw Cycles: A Pilot Experimental Study,” Engineering Structures, V. 124, pp. 49-63. doi: 10.1016/j.engstruct.2016.06.013
Zhang, J. W.; Zheng, W. B.; Cao, W. L.; Dong, H. Y.; and Li, W. D., 2019, “Seismic Behavior of Low-Rise Concrete Shear Wall with Single Layer of Web Reinforcement and Inclined Rebars: Restoring Force Model,” KSCE Journal of Civil Engineering, V. 23, No. 3, pp. 1302-1319. doi: 10.1007/s12205-019-1264-y
Zhong, J. X.; Mo, Y. L.; and Liao, W. I., 2009, “Reversed Cyclic Behavior of Reinforced Concrete Shear Walls with Diagonal Steel Grids,” Shear and Torsion in Concrete Structures, SP-265, American Concrete Institute, Farmington Hills, MI, pp. 47-72