Three-Parameter Kinematic Theory for Shear-Dominated Reinforced Concrete Walls
Publication: Journal of Structural Engineering
Volume 142, Issue 7
Abstract
This paper is aimed at addressing the need for physically accurate and computationally effective models for predicting the response of shear-dominated reinforced concrete walls. The presented theory is based on a three-degree-of-freedom kinematic model for the deformation patterns in walls with aspect ratios smaller than approximately 3. In the kinematic model, the wall is divided into two parts—a rigid block and a fan of struts—by a diagonal crack. The mechanisms of shear resistance across this crack are modeled with nonlinear springs to capture the prepeak and postpeak shear behavior of the member. The base section of the wall is also modeled to account for yielding of the reinforcement and crushing of the concrete. It is shown that this approach captures well the global and local deformations measured in a test specimen with detailed instrumentation. A more comprehensive validation of the theory is performed with 34 wall tests from the literature. The obtained peak load experimental-to-predicted ratios have an average of 1.03 with a coefficient of variation of 11.6%, while these values for the drift capacity are 0.99 and 16.4%.
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Acknowledgments
The research presented in this paper is part of a project funded by the Swiss Federal Roads Office (FEDRO) under project number AGB2008/001. This financial support is gratefully acknowledged. The authors would also like to thank the data providers and the SERIES Project [funded by the European Community’s Seventh Framework Programme (FP7/2007-2013) under grant agreement n° 227887] for giving access to the Data. The NEES network is also acknowledged for the data they have collected and made available to researchers.
References
AASHTO. (2007). AASHTO LRFD bridge design specifications, 4th Ed., Washington, DC, 1526.
ACI (American Concrete Institute). (2011). “Building code requirements for structural concrete (ACI 318-11) and commentary.” Farmington Hills, MI, 503.
ASCE. (2007). “Seismic rehabilitation of existing buildings.” ASCE/SEI 41–06, Reston, VA, 411.
Bentz, E. C., Vecchio, F. J., and Collins, M. P. (2006). “Simplified modified compression field theory for calculating shear strength of reinforced concrete elements.” ACI Struct. J., 103(4), 614–624.
Bimschas, M. (2010). “Displacement-based seismic assessment of existing bridges in regions of moderate seismicity.”, Swiss Federal Institute of Technology ETH, Zurich, Switzerland.
Biskinis, D., and Fardis, M. N. (2010). “Flexure-controlled ultimate deformations of members with continuous or lap-spliced bars.” Struct. Concr., 11(2), 93–108.
Blaauwendraad, J., and Hoogenboom, P. C. J. (1996). “Stringer panel model for structural concrete design.” ACI Struct. J., 93(3), 1–11.
CEB-FIP. (1990). “CEB-FIP model code 1990.” Comité Euro-International du Béton, Lausanne, Switzerland, 437.
CEN (European Committee for Standardization). (2005). “Design of structures for earthquake resistance. 3: Assessment and retrofitting of buildings.” Brussels, Belgium.
Gulec, C., and Whittaker, A. (2009). “Performance based assessment and design of squat concrete shear walls.”, Univ. at Buffalo, Buffalo, NY.
Hannewald, P., Bimschas, M., and Dazio, A. (2013). “Quasi-static cyclic tests on RC bridge piers with detailing deficiencies.”, Swiss Federal Institute of Technology ETH, Zurich, Switzerland.
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.” Eng. Struct., 24(1), 85–98.
Hirosawa, M. (1975). “Past experimental results on reinforced concrete shear walls and analysis on them.” Building Research Institute, Ministry of Construction, Tsukuba, Japan (in Japaness).
Lefas, I., Kotsovos, M., and Ambraseys, N. (1990). “Behavior of reinforced concrete structural walls: Strength, deformation characteristics, and failure mechanism.” ACI Struct. J., 87(1), 23–31.
Li, B., Maekawa, K., and Okamura, H. (1989). “Contact density model for stress transfer across cracks in concrete.” J. Faculty Eng., 40(1), 9–52.
Lu, X., Zhou, Y., Yang, J., Qian, J., Song, C., and Wang, Y. (2010). “Shear wall database.” Network for Earthquake Engineering Simulation.
Luna, B. N., Rivera, J. P., and Whittaker, A. S. (2015). “Seismic behavior of low-aspect-ratio reinforced concrete shear walls.” ACI Struct. J., 112(5), 593–603.
Maier, J., and Thürlimann, B. (1985). “Bruchversuche an Stahlbetonscheiben.”, Swiss Federal Institute of Technology ETH, Zurich, Switzerland.
Mander, J. B., Priestley, M. J. N., and Park, R. (1988). “Theoretical stress-strain model for confined concrete.” J. Struct. Eng., 1804–1826.
Martinelli, L. (2008). “Modeling shear-flexure interaction in reinforced concrete elements subjected to cyclic lateral loading.” ACI Struct. J., 105(6), 675–684.
Mihaylov, B. I., Bentz, E. C., and Collins, M. P. (2010). “Behavior of large deep beam subjected to monotonic and reversed cyclic shear.” ACI Struct. J., 107(6), 726–734.
Mihaylov, B. I., Bentz, E. C., and Collins, M. P. (2013). “Two-parameter kinematic theory for shear behavior of deep beams.” ACI Struct. J., 110(3), 447–456.
Mihaylov, B. I., Hannewald, P., and Beyer, K. (2015). “Three-parameter kinematic theory for shear-dominated reinforced concrete walls: Implementation.” Zenodo, Geneva, Switzerland.
Oh, Y.-H., Han, S. W., and Lee, L.-H. (2002). “Effect of boundary element details on the seismic deformation capacity of structural walls.” Earthquake Eng. Struct. Dyn., 31(8), 1583–1602.
Panagiotou, M., Restrepo, J. I., Schoettler, M., and Kim, G. (2012). “Nonlinear cyclic truss model for reinforced concrete walls.” ACI Struct. J., 109(2), 205–214.
Paulay, T. (1971). “Coupling beams of reinforced concrete shear walls.” J. Struct. Div., 97(ST3), 843–862.
Perus, I., et al. (2013). “Enrichment of the distributed database with existing data.” 〈http://www.series.upatras.gr/sites/default/files/Deliverable_D2_7_v1_1.pdf〉 (Sep. 24, 2015).
Pilakoutas, K., and Elnashai, A. (1995). “Cyclic behaviour of reinforced concrete cantilever walls. I: Experimental results.” ACI Struct. J., 92(3), 271–281.
Popovics, S. (1970). “A review of stress-strain relationships for concrete.” ACI J., 67(3), 243–248.
Priestley, M. J. N., Calvi, G. M., and Kowalsky, M. J. (2007). Displacement-based seismic design of structures, IUSS Press, Pavia, Italy, 721.
SERIES database. (2013). “RC column, beam and wall database.” 〈http://www.dap.series.upatras.gr/〉 (Sep. 24, 2015).
Tran, T. A., and Wallace, J. W. (2012). “Experimental study of nonlinear flexural and shear deformations of reinforced concrete structural walls.” Proc., 15 World Conf. on Earthquake Engineering (WCEE), Lisbon, Portugal.
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression-field theory for reinforced concrete elements subjected to shear.” ACI Struct. J., 83(2), 219–231.
Wiradinata, S. (1985). “Behaviour of squat walls subjected to load reversals.” M.S thesis, Dept. of Civil Engineering, Univ. of Toronto, Toronto.
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Published In
Journal of Structural Engineering
Volume 142 • Issue 7 • July 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Nov 19, 2014
Accepted: Dec 10, 2015
Published online: Mar 9, 2016
Published in print: Jul 1, 2016
Discussion open until: Aug 9, 2016
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