Abstract
In this research, we investigate the seismic fragility of in-plane-loaded rectangular RC structural walls used as the main load-bearing elements for low- and medium-rise-reinforced concrete structures designed for the seismic conditions of Bucharest (Romania). The first step of the study involves the validation of the numerical modelling by using experimental data. Subsequently, the response of 81 structural walls subjected to in-plane loading is evaluated. Next, the seismic fragility of low- and medium-rise rectangular RC structural walls is evaluated using the results of all the numerical analyses. The results of the fragility analysis show that the median value of the maximum inter-story drift decreases with an increase in the structural wall thickness, while the variability of the results is similar. However, the out-of-plane displacements of the structural wall appear to increase with the thickness of the structural wall.
Similar content being viewed by others
References
Alarcon, C., Hube, M. A., & de la Llera, J. C. (2014). Effect of axial loads in the seismic behavior of reinforced concrete walls with unconfined wall boundaries. Engineering Structures,73, 13–23.
Beyer, K., Hube, M., Constantin, R., Niroomandi, A., Pampanin, S., Dhakal, R., Sritharan, S., & Wallace, J.W. (2017). Reinforced concrete wall response under uni- and bi-directional loading. In Proceedings of the 16th world conference on earthquake engineering, Santiago, Chile, Paper No. 2373.
CEN (2004). Eurocode 8: Design of structures for earthquake resistance—Part 1: General rules, seismic actions and rules for buildings. Belgium: European Standard EN 1998-1. Brussels.
Constantin, R., & Beyer, K. (2016). Behaviour of U-shaped RC walls under quasi-static cyclic diagonal loading. Engineering Structures,106, 36–52.
CR 2-1-1.1. (2013). Design code for RC structural wall buildings. Bucharest: Ministry of Regional Development and Public Administration.
Dashti, F. (2017). Out-of-plane instability of rectangular reinforced concrete walls under uni-directional loading. PhD Thesis, University of Canterbury, Christchurch, New Zealand.
Dashti, F., Dhakal, R. P., & Pampanin, S. (2018). Evolution of out-of-plane deformation and subsequent instability in rectangular RC walls under in-plane cyclic loading: experimental observation. Earthquake Engineering and Structural Dynamics,47(15), 2944–2964.
Fardis, M. N., Papailia, A., & Tsionis, G. (2012). Seismic fragility of RC framed and wall-frame buildings designed to the EN-Eurocodes. Bulletin of Earthquake Engineering,10(6), 1767–1793.
Federal Emergency Management Agency (2012). Multi-hazard loss estimation methodology. Earthquake model—HAZUS MH 2.1. Technical manual, Washington, USA.
Ghobarah, A. (2004). On drift limits associated with different damage levels. In: P. Fajfar & H. Krawinkler (Eds.), Proceedings of international workshop on performance-based seismic design (pp. 321–332), Bled, Slovenia, 28 June–1 July 2004. PEER Report 2004/05, Pacific Earthquake Engineering Research Center, College of Engineering, University of California, Berkeley.
Goodsir, W.J. (1985). The design of coupled frame-wall structures for seismic actions. PhD Thesis, University of Canterbury, Christchurch, New Zealand.
Hoult, R. D., Goldsworthy, H. M., & Lumantarna, E. (2018). Plastic hinge analysis for lightly reinforced and unconfined concrete structural walls. Bulletin of Earthquake Engineering,16(10), 4825–4860.
Hoult, R. D., Goldsworthy, H. M., & Lumantarna, E. (2019). Fragility functions for RC shear wall buildings in Australia. Earthquake Spectra,35(1), 333–360.
Hrynyk, T.D. (2013). Behavior and modeling of reinforced concrete slabs and shells under Static and dynamic loads. PhD Thesis, University of Toronto, Toronto, Canada.
Hrynyk, T. D., & Vecchio, F. (2015). Capturing out-of-plane shear failures in the analysis of reinforced concrete shells. Journal of Structural Engineering,141(12), 04015058.
Hrynyk, T.D., & Vecchio, F. (2019). VecTor4 user’s manual. Vector Analysis Group, http://www.vectoranalysisgroup.com/software.html.
Huang, X., Kwon, O. S., Bentz, E., & Tcherner, J. (2018). Method for evaluation of concrete containment structure subjected to earthquake excitation and internal pressure increase. Earthquake Engineering and Structural Dynamics,47(6), 1544–1565.
Hube, M. A., Marihuén, A., & de la Llera, J. C. (2014). Seismic behavior of slender reinforced concrete walls. Engineering Structures,80, 377–388.
Kabeyasawa, T., Kato, S., Sato, M., Kabeyasawa, T., Fukuyama, H., Tani, M., Kim, Y., & Hosokawa, Y. (2014). Effects of bidirectional lateral loading on the strength and deformability of reinforced concrete walls with/without boundary columns. Proceedings of the 10th U.S. National Congress on Earthquake Engineering, Anchorage, Alaska, US.
Krolicki, J., Maffei, J., & Calvi, G. M. (2011). Shear strength of reinforced concrete walls subjected to cyclic loading. Journal of Earthquake Engineering,15(S1), 30–71.
Lowes, L. N., Lehman, D. E., Birely, A. C., Kuchma, D. A., Marley, K. P., & Hart, C. R. (2012). Earthquake response of slender planar concrete walls with modern detailing. Engineering Structures,43, 31–47.
Moehle, J.P., Ghodsi, T., Hooper, J.D., Fields, D.C., & Gedhada, R. (2011). Seismic design of cast-in-place concrete special structural walls and coupling beams: a guide for practicing engineers. NEHRP Seismic Design Technical Brief No. 6, National Institute of Standards and Technology, Gaithersburg, Maryland, US.
NSR-10 (2010). Colombian code for earthquake-resistant construction, NSR-10. Committee 100, Colombian Association of Earthquake Engineering, AIS, Colombia.
Oesterle, R., Fiorato, A., Johal, L., Carpenter, J., Russell, H., & Corley, W. (1976). Earthquake resistant structural walls: tests of isolated walls. Skokie: Research and Development Construction Technology Laboratories, Portland Cement Association.
P100-1/2013. (2013). Code for seismic design—Part I—Design prescriptions for buildings. Bucharest: Ministry of Regional Development and Public Administration.
Pavel, F. (2019). Simplified seismic collapse evaluation of code-conforming reinforced concrete structures in Bucharest, Romania. Iranian Journal of Science and Technology, Transactions of Civil Engineering,43(4), 859–864.
Pavel, F., Calotescu, I., Stanescu, A., & Badiu, A. (2018). Life-cycle and seismic fragility assessment of code-conforming reinforced concrete and steel structures in Bucharest, Romania. International Journal of Disaster Risk Science,9(2), 263–274.
Polak, M. A., & Vecchio, F. J. (1993). Nonlinear analysis of reinforced concrete shells. Toronto: Department of Civil Engineering, University of Toronto (Publication No. 93–03).
Rosso, A., Almeida, J. P., & Beyer, K. (2016). Stability of thin reinforced concrete walls under cyclic loads: state-of-the-art and new experimental findings. Bulletin of Earthquake Engineering,14(2), 455–484.
Sasani, M., & der Kiureghian, A. (2001). Seismic fragility of RC structural walls: displacement approach. Journal of Structural Engineering,127(2), 22416.
Sasani, M., der Kiureghian, A., & Bertero, V. V. (2002). Seismic fragility of short period reinforced concrete structural walls under near-source ground motions. Structural Safety,24(2–4), 123–138.
Sengupta, P., & Li, B. (2016). Seismic fragility assessment of lightly reinforced concrete structural walls. Journal of Earthquake Engineering,20(5), 809–840.
Terzioglu, T., Orakcal, K., & Massone, L. M. (2018). Cyclic lateral load behavior of squat reinforced concrete walls. Engineering Structures,160, 147–160.
Vecchio, F. (2000a). Disturbed stress field model for reinforced concrete: formulation. Journal of Structural Engineering,126(9), 1070–1077.
Vecchio, F. (2000b). Disturbed stress field model for reinforced concrete: implementation. Journal of Structural Engineering,127(1), 12–20.
Wallace, J. W. (2012). Behavior, design, and modeling of structural walls and coupling beams—lessons from recent laboratory tests and earthquakes. International Journal of Concrete Structures and Materials,6(1), 3–18.
Wallace, J. W., Massone, L. M., Bonelli, P., Deagovich, J., Lagos, R., Lüders, C., et al. (2012). Damage and implications for seismic design of RC structural wall buildings. Earthquake Spectra,28(S1), S281–S299.
Wong, P., Vecchio, F., & Trommels, H. (2013). Vector2 and FormWorks user manual. Toronto: Department of Civil Engineering, University of Toronto.
Acknowledgements
The author wishes to thank Dr. Trevor Hrynyk for providing the VecTor4 software used in the analyses performed in this paper, as well as for its guidance for performing the numerical analyses with the same code. In addition, wishes to thank Dr. Farhad Dashti for providing the load–displacement data for the three wall specimens analysed in Sect. 2 of the paper. The constructive comments from one anonymous Reviewer are appreciated as they have led to a much-improved revised manuscript.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Pavel, F. Investigation on the seismic fragility of in-plane loaded low- and medium-rise rectangular RC structural walls. Asian J Civ Eng 21, 775–783 (2020). https://doi.org/10.1007/s42107-020-00238-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42107-020-00238-y