Seismic Behavior of Low-rise Concrete Shear Wall with Single Layer of Web Reinforcement and Inclined Rebars: Restoring Force Model

  • Jian-Wei Zhang
  • Wen-Bin Zheng
  • Wan-Lin Cao
  • Hong-Ying Dong
  • Wan-Di Li
Structural Engineering


In order to study the restoring force model of low-rise concrete shear wall with single layer of web reinforcement and inclined rebars, a series of specimens were investigated by quasi-static tests. Based on the fitting of experimental data and theoretical analysis, the restoring force model considering four characteristic points (crack point, yield point, peak point and failure point) and degradation of unloading stiffness was established. The hysteretic rule of restoring force model was determined by analyzing characteristic of hysteresis curve for cyclic loading tests. The results show that skeleton curves and hysteresis curves calculated by the restoring force model are in good agreement with the test curves, which can provide reference for the elastic-plastic dynamic analysis of low-rise concrete shear walls with single layer of web reinforcements and inclined rebars. Shaking table tests of two low-rise concrete shear walls were also conducted to investigate dynamic performance and the seismic damage mechanism of low-rise concrete shear wall with single layer of web reinforcement and inclined rebars. Research on dynamic nonlinear simplified model of SAP2000 shows that the proposed restoring force model can be used to analyze the elastic and elastic-plastic dynamic response for the low-rise concrete shear wall with single layer of web reinforcement and inclined rebars.


single layer of web reinforcement low-rise RC shear wall inclined rebars restoring force model seismic damage mechanism 


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  1. 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, Vol. 110, No. 5, pp. 767–777, DOI: 10.1080/14786435.2013.817694.Google Scholar
  2. Benjamin, J. R. and Williams, H. A. (1957). “The behavior of onestorey reinforced concrete shear walls.” Journal of the Structural Division, Vol. 1254, pp. 9–49.Google Scholar
  3. Beyer, K., Dazio, A., and Nigel Priestley, M. J. (2011). “Shear deformations of slender reinforced concrete walls under seismic loading.” ACI Structural Journal, Vol. 108, No. 2, pp. 167–177.Google Scholar
  4. Bohl, A. and Adebar, P. (2011). “Plastic hinge lengths in high-rise concrete shear walls.” ACI Structural Journal, Vol. 108, No. 2, pp. 148–157.Google Scholar
  5. Cao, W. L., Wu, D. Y., Yang, X. M., and Sun, T. B. (2008). “Experimental study on seismic performance of low-rise RC shear walls with bidirectional single row of steel bars.” World Earthquake Engineering, Vol. 24, No. 4, pp. 72–79, DOI: 10.1109/CLEOE-EQEC.2009.5194697 [in Chinese].Google Scholar
  6. Carrillo, J. and Alcocer, S. M. (2012). “Seismic performance of concrete walls for housing subjected to shaking table excitations.” Engineering Structures, Vol. 41, No. 3, pp. 98–107, DOI:0.1016/j.engstruct.2012.03.025.CrossRefGoogle Scholar
  7. Carrillo, J., Lizarazo, J. M., and Bonett, R. (2015). “Effect of lightweight and low-strength concrete on seismic performance of thin lightlyreinforced shear walls.” Engineering Structures, Vol. 93, pp. 61–69, DOI: 10.1016/j.engstruct.2015.03.022.CrossRefGoogle Scholar
  8. Clough, R. W. and Johnston, S. B. (1966) “Effect of stiffness degradation on earthquake ductility requirements.” Proceedings of the 2nd Japan Earthquake Engineering Symposium, Tokyo: JSCE, pp. 37–44.Google Scholar
  9. Eberhard, M. O. and Meigs, B. E. (2012). “Earthquake-resisting system selection statistics for reinforced concrete buildings.” Earthquake Spectra, Vol. 11, No. 1, pp. 19–36, DOI: 10.1193/1.1585801.CrossRefGoogle Scholar
  10. Fintel, M. (1974). “Ductile shear walls in earthquake resistant multistory buildings.” ACI journal, Proceedings, Vol. 71, No. 6, pp. 296–365, DOI: 10.14359/17695.Google Scholar
  11. GB50010 (2010). Code for design of concrete structures, China Architecture & Building Press, Beijing, China [in Chinese].Google Scholar
  12. GB50011 (2010). Code for seismic design of building, China Architecture & Building Press, Beijing, China [in Chinese].Google Scholar
  13. Guo, Z. H. (2004) Principle and analysis of reinforced concrete, Tsinghua University Press, Beijing [in Chinese].Google Scholar
  14. Guo, Z. X., Tong, Y. S., and Qian, G. F. (1998) “Study on the deformation behavior and restoring force model of squat shear wall.” Journal of Xian University of Architecture & Technology, Vol. 30, No. 1, pp. 25–28, DOI: 10.15986/j.1006-7930.1998.01.007 [in Chinese].Google Scholar
  15. Hidalgo, P. A., Jordan, R. M., and Martinez, M. P. (2002). “An analytical model to predict the inelastic seismic behavior of shear-wall, reinforced concrete structures.” Engineering Structures, Vol. 24, No. 1, pp. 85–98, DOI: 10.1016/s0141-0296(01)00061-x.CrossRefGoogle Scholar
  16. JGJ 101-96 (1997). Specification of testing methods for earthquake resistant building, China Ministry of Construction, Beijing [in Chinese].Google Scholar
  17. Kou, J. L., Liang, X. W., and Deng, M. K. (2013). “Experimental and theoretical study of restoring force model of fiber reinforced concrete shear walls.” Civil Engineering Journal, Vol. 46, No. 10, pp. 58–70, DOI: 10.15951/j.tmgcxb.2013.10.019 [in Chinese].Google Scholar
  18. Lequesne, R., Parra-Montesinos, G., and Wight, J. (2016). “Seismic response of fiber-reinforced concrete coupled walls.” ACI Structural Journal, Vol. 113, No. 3, pp. 435–445, DOI: 10.14359/51688822.CrossRefGoogle Scholar
  19. Li, H. N. and Li, B. (2004). “Experimental study on seismic restoring performance of reinforced concrete shear walls.” Journal of Building Structures, Vol. 25, No. 5, pp. 35–42, DOI: 10.1007/BF02911033 [in Chinese].Google Scholar
  20. Li, X. L. and Li, Q. N. (2014). “Research on the restoring force model of RC short-pier shear wall.” Earthquake Engineering & Engineering Dynamics, Vol. 34, No. 5, pp. 100–107, DOI: 10.13197/j.eeev.2014.05.100.lixl.014 [in Chinese].MathSciNetGoogle Scholar
  21. Lu, Y. Q. and Huang, L. (2014). “Experimental data-based calculation method for ultimate displacement of flexure dominated RC walls with concealed columns.” Journal of Building Structures, Vol. 35, No. 2, pp. 80–88, DOI: 10.14006/j.jzjgxb.2014.02.012 [in Chinese].Google Scholar
  22. Ma, K. Z., Liang, X. W., Xiang, L., and Deng, M. K. (2011). “Restoring force model of steel reinforced concrete shear walls.” Engineering Mechanics, Vol. 28, No. 8, pp. 119–123, DOI: 10.1111/j.1759-6831.2010.00113.x [in Chinese].Google Scholar
  23. Magenes, G. and Calvi, G. M. (2015). “In-plane seismic response of brick masonry walls.” Earthquake Engineering & Structural Dynamics, Vol. 26, No. 11, pp. 1091–1112, DOI:10.1002/(sici)1096–9845(199711)26:11<1091::aid-eqe693>;2–6.CrossRefGoogle Scholar
  24. Oesterle, R. G., Aristizabal-Ochoa, J. D., Shiu, K.N., and Corley, W. G. (1984). “Web crushing of reinforced concrete structural walls”. ACI Structural Journal, Vol. 81, No. 3, pp. 231–241, DOI: 10.1016/0022-3115(84)90073-4.Google Scholar
  25. Oesterle, R. G., Fiorato, A. E., and Johal, L. S. (1976). Earthquake resistant structural walls-tests of isolated walls, Report No. NSF/ RA-760815, PB-271 467, Research and Development Laboratories, Portland Cement Association, Skokie, IL, USA.Google Scholar
  26. Park, Y. J., Reinhorn, A. M., and Kunnath, S. K. (1987). IDARC: Inelastic damage analysis of reinforced concrete – Frame-shear wall structures, Technical Report NCEER-87-0008, National Center for Earthquake Engineering Research, State University of New York at Buffalo, Buffalo, NY, USA.Google Scholar
  27. Paulay, T. (1977). “Ductility of reinforced concrete shear walls for seismic areas, reinforced concrete structures in seismic zones.” ACI, Farmington Hills, Mich, Vol. 53, pp. 127–147.Google Scholar
  28. Paulay, T. and Priestley, M. J. N. (1992). Seismic design of reinforced concrete and masonry buildings, John Wiley & Sons, Inc., New York, NY, USA.CrossRefGoogle Scholar
  29. Penzien, J. (1962). “Dynamic response of elastic-plastic frames.” Journal of Structural Division, ASCE, Vol. 88, No. ST7, pp. 1322–1340.Google Scholar
  30. Peter, L. and Hugo, B. (1994). “Dynamic modeling and design of earthquake-resistant walls.” Earthquake Engineering & Structural Dynamics, Vol. 23, No. 12, pp. 1331–1350.CrossRefGoogle Scholar
  31. Qian, J. R, Cheng, L. R., and Zhou, D. L. (2002). “Behavior of axially loaded concrete columns confined with ordinary hoops.” Journal of Tsinghua University, Vol. 42, No. 10, pp. 1369–1373, DOI: 10.3321/j.issn:1000-0054.2002.10.026 [in Chinese].Google Scholar
  32. Su, Q. W, Xu, H., Wu, H., Zhang, Y., and Liu, G. (2013). “Research on inter-story displacement angle of brick masonry structures.” Civil Engineering Journal, Vol. 46, No. S1, pp. 111–116, DOI: 10.15951/j.tmgcxb.2013.s1.041 [in Chinese].Google Scholar
  33. Xiang, L. I. and Liang, X. (2010). “Study on restoring force model of high-performance concrete shear walls.” Journal of Earthquake Engineering & Engineering Vibration, Vol. 30, No. 5, pp. 42–48, DOI: 10.1017/S0004972710001772 [in Chinese].Google Scholar
  34. Zhang, J. W., Cao, W. L., and Yin, W. S. (2009a). “Study on seismic performance of mid-rise RC shear wall with single row of steel bars and simplified boundary elements.” Civil Engineering Journal, Vol. 42, No. 12, pp. 99–104, DOI: 10.1007/978-3-540-85168-4_52 [in Chinese].Google Scholar
  35. Zhang, J. W., Dong, H. Y., Cao, W. L., Yu, C., and Chi, Y. Z. (2016a). “Shaking table tests of low-rise shear walls made of recycled aggregate concrete.” Structural Engineering International, Vol. 26, No. 1, pp. 62–73, DOI: 10.2749/101686616X14480232444441.CrossRefGoogle Scholar
  36. Zhang, J. W., Li, W. D., Cao, W. L., Cai, C., and Wu, M. J. (2017). “Experimental study on the influence of different inclined reinforcements collocation on seismic performance of low-rise concrete shear wall with single row of steel bars.” Journal of Harbin Institute of Technology, Vol. 49, No. 6, pp. 28–34, DOI: 10.11918/j.issn.0367-6234.201512108 [in Chinese].Google Scholar
  37. Zhang, S., Lu, X. L., and Zhang, H. M. (2009b) “Experimental and analytical studies on resilience models of RC shear walls.” Journal of Shenyang Jianzhu University, Vol. 42, No. 4, pp. 10–16, DOI: 10.1007/978-3-540-85168-4_52 [in Chinese].Google Scholar
  38. Zhang, J. W., Yang, X. M., Cao, W. L., and Hu, J. M. (2016b). “Seismic performance of low-rise shear wall with single layer of web reinforcement and inclined steel bars.” Engineering Mechanics, Vol. 33, No. S1, pp. 125–132, DOI: 10.6052/j.issn.1000-4750.2015.04.S007 [in Chinese].Google Scholar
  39. Zhang, J. W., Zheng, W. B., Yu, C., and Cao, W. L. (2018). “Shaking table test of reinforced concrete coupled shear walls with single layer of web reinforcement and inclined steel bars.” Advances in Structural Engineering, Vol. 21, No. 15, pp. 2282–2298, DOI: 10.1177/1369433218772350.CrossRefGoogle Scholar

Copyright information

© Korean Society of Civil Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Jian-Wei Zhang
    • 1
  • Wen-Bin Zheng
    • 1
  • Wan-Lin Cao
    • 1
  • Hong-Ying Dong
    • 1
  • Wan-Di Li
    • 1
  1. 1.College of Architecture and Civil EngineeringBeijing University of TechnologyBeijingChina

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