Modeling of Shear Strength for Squat Reinforced Concrete Walls with Boundary Elements

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Title: Modeling of Shear Strength for Squat Reinforced Concrete Walls with Boundary Elements

Author(s): Ju-Hyung Kim, Yail J. Kim, and Hong-Gun Park

Publication: Structural Journal

Volume: 120

Issue: 6

Appears on pages(s): 99-112

Keywords: boundary elements; capacity prediction; modeling; seismic design; shear strength; squat walls

DOI: 10.14359/51739090

Date: 11/1/2023

Abstract:
This paper presents mechanics-based modeling methodologies to predict the shear strength of squat walls incorporating boundary elements. Developed with the intention of surmounting the limitations of empirical models that are prevalent in the structural engineering community, these approaches are composed of an iterative analytical method and simplified design equations. Conforming to experimental observations, a failure criterion is established to determine the web crushing and shear compression of each wall component. Upon validating the methodologies against 123 test data compiled from the literature, detailed responses of the wall system are examined to comprehend the behavior of the web and the compression and tension boundary elements subjected to lateral loading. Model outcomes indicate that the overall strength of the squat walls is distributed to the web and the boundary elements by 58% and 42%, respectively, signifying that the contribution of the boundary elements should not be ignored, unlike the case of most customary models. In contrast to the provision of published design specifications, both horizontal and vertical reinforcing bars affect the shear strength of the web concrete. The growth of compressive principal strains, which dominate the failure of the members, is a function of the reinforcement ratio. According to statistical evaluations, the proposed models outperform existing models in terms of capacity prediction. The effects of major parameters are articulated from a practical standpoint.

Related References:

1. Zhang, X.; Shan, W.; Zhang, Z.; and Li, B., “AE Monitoring of Reinforced Concrete Squat Wall Subjected to Cyclic Loading with Information Entropy-Based Analysis,” Engineering Structures, V. 165, June 2018, pp. 359-367. doi: 10.1016/j.engstruct.2018.03.059

2. ACI Committee 318, “Building Code Requirements for Structural Concrete (ACI 318-19) and Commentary (ACI 318R-19) (Reapproved 2022),” American Concrete Institute, Farmington Hills, MI, 2019, 624 pp.

3. Sánchez-Alejandre, A., and Alcocer, S. M., “Shear Strength of Squat Reinforced Concrete Walls Subjected to Earthquake Loading – Trends and Models,” Engineering Structures, V. 32, No. 8, Aug. 2010, pp. 2466-2476. doi: 10.1016/j.engstruct.2010.04.022

4. Terzioglu, T.; Orakcal, K.; and Massone, L. M., “Cyclic Lateral Load Behavior of Squat Reinforced Concrete Walls,” Engineering Structures, V. 160, Apr. 2018, pp. 147-160. doi: 10.1016/j.engstruct.2018.01.024

5. Kim, J.-H., and Park, H.-G., “Shear Strength of Flanged Squat Walls with 690 MPa Reinforcing Bars,” ACI Structural Journal, V. 119, No. 2, Mar. 2022, pp. 209-220.

6. Paulay, T., “Seismic Design in Reinforced Concrete: The State of the Art in New Zealand,” Bulletin of the New Zealand Society for Earthquake Engineering, V. 21, No. 3, Sept. 1988, pp. 208-232. doi: 10.5459/bnzsee.21.3.208-232

7. Zhou, Y.; Zheng, S.; Chen, L.; Long, L.; and Wang, B., “Experimental Investigation into the Seismic Behavior of Squat Reinforced Concrete Walls Subjected to Acid Rain Erosion,” Journal of Building Engineering, V. 44, Dec. 2021, Article No. 102899. doi: 10.1016/j.jobe.2021.102899

8. Rosso, A.; Almeida, J. P.; and Beyer, K., “Stability of Thin Reinforced Concrete Walls under Cyclic Loads: State-of-the-Art and New Experimental Findings,” Bulletin of Earthquake Engineering, V. 14, No. 2, Feb. 2016, pp. 455-484. doi: 10.1007/s10518-015-9827-x

9. Brueggen, B. L., “Performance of T-Shaped Reinforced Concrete Structural Walls under Multi-Dimensional Loading,” PhD dissertation, University of Minnesota, Minneapolis, MN, 2009, pp. 259-267.

10. Liu, X.; Burgueño, R.; Egleston, E.; and Hines, E. M., “Inelastic Web Crushing Performance Limits of High-Strength-Concrete Structural Wall – Single Wall Test Program,” Report No. CEE-RR-2009/03, Michigan State University, East Lansing, MI, 2009, 281 pp.

11. Teng, S., and Chandra, J., “Cyclic Shear Behavior of High-Strength Concrete Structural Walls,” ACI Structural Journal, V. 113, No. 6, Nov.-Dec. 2016, pp. 1335-1345. doi: 10.14359/51689158

12. Kim, J.-H., and Park, H.-G., “Shear and Shear-Friction Strengths of Squat Walls with Flanges,” ACI Structural Journal, V. 117, No. 6, Nov. 2020, pp. 269-280. doi: 10.14359/51728075

13. Barda, F.; Hanson, J. M.; and Corley, W. G., “Shear Strength of Low-Rise Walls with Boundary Elements,” Reinforced Concrete Structures in Seismic Zones, SP-53, American Concrete Institute, Farmington Hills, MI, 1977, pp. 149-202.

14. Wood, S. L., “Shear Strength of Low-Rise Reinforced Concrete Walls,” ACI Structural Journal, V. 87, No. 1, Jan.-Feb. 1990, pp. 99-107.

15. ASCE/SEI 43-05, “Seismic Design Criteria for Structures, Systems, and Components in Nuclear Facilities,” American Society of Civil Engineers, Reston, VA, 2005.

16. Moehle, J., Seismic Design of Reinforced Concrete Buildings, McGraw-Hill Education, New York, 2015, 760 pp.

17. Kassem, W., “Shear Strength of Squat Walls: A Strut-and-Tie Model and Closed-Form Design Formula,” Engineering Structures, V. 84, Feb. 2015, pp. 430-438. doi: 10.1016/j.engstruct.2014.11.027

18. Luna, B. N., and Whittaker, A. S., “Peak Strength of Shear-Critical Reinforced Concrete Walls,” ACI Structural Journal, V. 116, No. 2, Mar. 2019, pp. 257-266. doi: 10.14359/51712280

19. Gulec, C. K., and Whittaker, A. S., “Empirical Equations for Peak Shear Strength of Low Aspect Ratio Reinforced Concrete Walls,” ACI Structural Journal, V. 108, No. 1, Jan.-Feb. 2011, pp. 80-89.

20. Vecchio, F. J., and Collins, M. P., “The Modified Compression-Field Theory for Reinforced Concrete Elements Subjected to Shear,” ACI Journal Proceedings, V. 83, No. 2, Mar.-Apr. 1986, pp. 219-231.

21. Kaufmann, W., and Marti, P., “Structural Concrete: Cracked Membrane Model,” Journal of Structural Engineering, ASCE, V. 124, No. 12, Dec. 1998, pp. 1467-1475. doi: 10.1061/(ASCE)0733-9445(1998)124:12(1467)

22. Muttoni, A.; Schwartz, J.; and Thürlimann, B., “Stress Fields for Simple Structures,” Design of Concrete Structures with Stress Fields, Springer Science & Business Media, Berlin, Germany, 1996, pp. 46-50.

23. Nawy, E. G., Reinforced Concrete: A Fundamental Approach, Pearson, Upper Saddle River, NJ, 2009.

24. Antebi, J.; Utku, S.; and Hansen, R. J., “The Response of Shear Walls to Dynamic Loads,” Department of Civil and Sanitary Engineering, Massachusetts Institute of Technology, Cambridge, MA, 1960.

25. Hirosawa, M., “Past Experimental Results on Reinforced Concrete Shear Walls and Analysis on Them,” Building Research Institute, Ministry of Construction, Tokyo, Japan, 1975, 277 pp. (in Japanese)

26. Synge, A. J., “Ductility of Squat Shear Walls,” Report No. 80-8. Department of Civil Engineering, University of Canterbury, Christchurch, New Zealand, 1980, 142 pp.

27. Ogata, K., and Kabeyasawa, T., “Experimental Study on the Hysteretic Behavior of Reinforced Concrete Shear Walls under the Loading of Different Moment-to-Shear Ratios,” Transactions of the Japan Concrete Institute, V. 6, 1984, pp. 717-724.

28. AIJ, “Load-Deflection Characteristics of Nuclear Reactor Building Structures: Parts 8-9-10,” Summaries of Technical Papers, Structural Division, Architectural Institute of Japan, Tokyo, Japan, 1985, 58 pp. (in Japanese)

29. AIJ, “Load-Deflection Characteristics of Nuclear Reactor Building Structures: Parts 37-38-39-40,” Summaries of Technical Papers of Annual Meeting B, Structures I, Architectural Institute of Japan, Tokyo, Japan, 1985. (in Japanese)

30. Maier, J., and Thürlimann, B., “Bruchversuche an Stahlbetonscheiben,” Institut für Baustatik und Konstruktion, Eidgenössische Technische Hochschule (ETH) Zürich, Zürich, Switzerland, 1985, 130 pp. (in German)

31. Wiradinata, S., “Behavior of Squat Walls Subjected to Load Reversals,” MS thesis, Department of Civil Engineering, University of Toronto, Toronto, ON, Canada, 1985, 171 pp.

32. Kabeyasawa, T., and Somaki, T., “Reinforcement Details for Reinforced Concrete Shear Walls with Thick Panel,” Transactions of the Japan Concrete Institute, V. 7, 1985, pp. 369-372. (in Japanese)

33. AIJ, “Load-Deflection Characteristics of Nuclear Reactor Building Structures: Parts 21-22,” Summaries of Technical Papers, Structural Division, Architectural Institute of Japan, Tokyo, Japan, 1986, 59 pp. (in Japanese)

34. AIJ, “Load-Deflection Characteristics of Nuclear Reactor Building Structures: Parts 59-60-61,” Summaries of Technical Papers of Annual Meeting B, Structures I, Architectural Institute of Japan, Tokyo, Japan, 1986. (in Japanese)

35. AIJ, “Load-Deflection Characteristics of Nuclear Reactor Building Structures: Parts 62-63,” Summaries of Technical Papers of Annual Meeting B, Structures I, Architectural Institute of Japan, Tokyo, Japan, 1986. (in Japanese)

36. Pilette, C. F., “Behavior of Earthquake Resistant Squat Shear Walls,” MS thesis, Department of Civil Engineering, University of Ottawa, Ottawa, ON, Canada, 1987, 177 pp.

37. Saito, H.; Kikuchi, R.; Kanechika, M.; and Okamoto, K., “Experimental Study of the Effect of Concrete Strength on Shear Wall Behavior,” Proceedings, Tenth International Conference on Structural Mechanics in Reactor Technology (SMiRT 10), Anaheim, CA, 1989, pp. 227-232.

38. Sato, S.; Ogata, Y.; Yoshizaki, S.; Kanata, K.; Yamaguchi, T.; Nakayama, T.; Inada, Y.; and Kadoriku, J., “Behavior of Shear Wall Using Various Yield Strength of Rebar, Part 1: An Experimental Study,” Proceedings, Tenth International Conference on Structural Mechanics in Reactor Technology (SMiRT 10), Anaheim, CA, 1989, pp. 233-238.

39. Rothe, D., “Untersuchugen zum Nichtlinearen Verhalten von Stahlbeton Wandschieben unter Erdebenbeanspruchung,” PhD dissertation, Fachbereich Konstruktiver Ingenieurbau der Technischen Hochschule Darmstadt, Darmstadt, Germany, 1992, 161 pp. (in German)

40. Mohammadi-Doostdar, H., “Behaviour and Design of Earthquake Resistant Low-Rise Shear Walls,” PhD thesis, University of Ottawa, Ottawa, ON, Canada, 1994, 234 pp.

41. Seki, M.; Kobayashi, J.; Shibata, A.; Kubo, T.; Taira, T.; and Akino, K., “Restoring Force Verification Test on RC Shear Wall,” Proceedings, Thirteenth International Conference on Structural Mechanics in Reactor Technology (SMiRT 13), Porto Alegre, RS, Brazil, 1995, pp. 39-44.

42. Mo, Y. L., and Chan, J., “Behavior of Reinforced-Concrete-Framed Shear Walls,” Nuclear Engineering and Design, V. 166, No. 1, Oct. 1996, pp. 55-68. doi: 10.1016/0029-5493(96)01244-7

43. Hidalgo, P. A.; Jordan, R. M.; and Martinez, M. P., “An Analytical Model to Predict the Inelastic Seismic Behavior of Shear-Wall, Reinforced Concrete Structures,” Engineering Structures, V. 24, No. 1, Jan. 2002, pp. 85-98. doi: 10.1016/S0141-0296(01)00061-X

44. Salonikios, T. N.; Kappos, A. J.; Tegos, I. A.; and Penelis, G. G., “Cyclic Load Behavior of Low-Slenderness Reinforced Concrete Walls: Design Basis and Test Results,” ACI Structural Journal, V. 96, No. 4, July-Aug. 1999, pp. 649-661.

45. Gao, X., “Framed Shear Walls under Cyclic Loading,” PhD dissertation, University of Houston, Houston, TX, 1999, 285 pp.

46. Bouchon, M.; Orbovic, N.; and Foure, B., “Tests on Reinforced Concrete Low-Rise Shear Walls under Static Cyclic Loading,” Proceedings, Thirteenth World Conference on Earthquake Engineering (13 WCEE), Vancouver, BC, Canada, 2004, Paper No. 257, 10 pp.

47. Park, H.-G.; Baek, J.-W.; Lee, J.-H.; and Shin, H.-M., “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 2015, pp. 299-310. doi: 10.14359/51687406

48. Luna, B. N.; Rivera, J. P.; and Whittaker, A. S., “Seismic Behavior of Low-Aspect-Ratio Reinforced Concrete Shear Walls,” ACI Structural Journal, V. 112, No. 5, Sept.-Oct. 2015, pp. 593-604. doi: 10.14359/51687709

49. Kim, S., and Wallace, J. W., “Reliability of Structural Wall Shear Design for Tall Reinforced-Concrete Core Wall Buildings,” Engineering Structures, V. 252, Feb. 2022, Article No. 113492. doi: 10.1016/j.engstruct.2021.113492

50. Bentz, E. C.; Vecchio, F. J.; and Collins, M. P., “Simplified Modified Compression Field Theory for Calculating Shear Strength of Reinforced Concrete Elements,” ACI Structural Journal, V. 103, No. 4, July-Aug. 2006, pp. 614-624.


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