Abstract
This study aimed to quantitatively develop realistic quasi-static loading protocols for simulating bidirectional cyclic actions and axial load variation on building columns in a way that is representative of an actual response during earthquake ground excitation. A case-study building was subjected to a suite of 15 ground motions that were scaled to design basis earthquake (DBE) and maximum considered earthquake (MCE) levels of a typical region of low-to-moderate seismicity. The results showed that the displacement path of a building column under earthquake actions is generally in the form of elliptical loops of various orientations due to the phase difference in the sinusoidal displacements in the two orthogonal axes of the column. Accordingly, this work proposes a bidirectional lateral loading protocol that simplifies and generalizes the displacement path of the column in the form of elliptical loops of four different orientations. Similarly, the patterns of axial load variation in columns were also studied in detail, which led to the development of separate axial load variation protocols for external and internal columns of a building, which can be applied in tandem with the bidirectional lateral loading protocol. The paper concludes with a brief overview of the results of two reinforced concrete (RC) column specimens, which were experimentally tested using the proposed bidirectional loading protocol.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
Financial support from the Bushfire and Natural Hazards Cooperative Research Centre (BNHCRC) and technical assistance for experimental testing provided by the Smart Structures Laboratory staff at Swinburne University of Technology, Australia, are gratefully acknowledged.
References
Al-Janabi, M. A. Q., and C. Topkaya. 2020. “Nonsymmetrical loading protocols for shear links in eccentrically braced frames.” Earthquake Eng. Struct. Dyn. 49 (1): 74–94. https://doi.org/10.1002/eqe.3230.
Bousias, S. N., G. Verzeletti, M. N. Fardis, and E. Gutierrez. 1995. “Load-path effects in column biaxial bending with axial force.” J. Eng. Mech. 121 (5): 596–605. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:5(596).
Clark, P., K. Frank, H. Krawinkler, and R. Shaw. 1997. Protocol for fabrication, inspection, testing, and documentation of beam–column connection tests and other experimental specimens. Sacramento, CA: SAC Joint Venture.
Elkady, A., and D. G. Lignos. 2017. “Development of bidirectional cyclic lateral loading protocols for experimental testing of steel wide-flange columns.” In Proc., 3rd Huixian Int. Forum on Earthquake Engineering for Young Researchers. Urbana, IL: Univ. of Illinois at Urbana-Champaign.
ElMandooh Galal, K., and A. Ghobarah. 2003. “Flexural and shear hysteretic behaviour of reinforced concrete columns with variable axial load.” Eng. Struct. 25 (11): 1353–1367. https://doi.org/10.1016/S0141-0296(03)00111-1.
Esmaeily, A., and Y. Xiao. 2004. “Behavior of reinforced concrete columns under variable axial loads: Analysis.” ACI Struct. J. 102 (5): 736–744.
Gatto, K., and C. Uang. 2003. “Effects of loading protocol on the cyclic response of woodframe shearwalls.” J. Struct. Eng. 129 (10): 1384–1393. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:10(1384).
Ishida, T., Y. Shimada, and S. Yamada. 2013. “Cyclic loading test on rhs columns under bi-directional horizontal forces.” In Proc., 10th Int. Conf. on Urban Earthquake Engineering. Tokyo: Tokyo Institute of Technology.
Krawinkler, H. 1996. “Cycling loading histories for seismic experimentation on structural components.” Earthquake Spectra 12 (1): 1–12. https://doi.org/10.1193/1.1585865.
Krawinkler, H. 2009. “Loading histories for cyclic tests in support of performance assessment of structural components.” In Proc., 3rd Int. Conf. on Advances in Experimental Structural Engineering. San Francisco: Pacific Earthquake Engineering Research Center.
Krawinkler, H., F. Parisi, L. Ibarra, A. Ayoub, and R. Medina. 2000. Development of a testing protocol for woodframe structures. Richmond, VA: Consortium of Universities for Research in Earthquake Engineering.
LeBorgne, M. R., and W. M. Ghannoum. 2014. “Analytical element for simulating lateral-strength degradation in reinforced concrete columns and other frame members.” J. Struct. Eng. 140 (7): 04014038. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000925.
Matsuishi, M., and T. Endo. 1968. “Fatigue of metals subjected to varying stress-fatigue lives under random loading.” In Proc., Kyushu District Meeting. Fukuoka, Japan: Japanese Society for Experimental Mechanics.
McKenna, F., G. L. Fenves, M. H. Scott, and B. Jeremie. 2000. “Open system for earthquake engineering simulation, OpenSees.” Accessed February 1, 2018. http://opensees.berkeley.edu.
Menegon, S. J., H.-H. Tsang, E. Lumantarna, N. T. K. Lam, J. L. Wilson, and E. F. Gad. 2019. “Framework for seismic vulnerability assessment of reinforced concrete buildings in Australia.” Aust. J. Struct. Eng. 20 (2): 143–158. https://doi.org/10.1080/13287982.2019.1611034.
Menegon, S. J., J. L. Wilson, N. T. K. Lam, and E. F. Gad. 2017. “RC walls in Australia: Reconnaissance survey of industry and literature review of experimental testing.” Aust. J. Struct. Eng. 18 (1): 24–40. https://doi.org/10.1080/13287982.2017.1315207.
Mergos, P. E., and K. Beyer. 2014. “Loading protocols for European regions of low to moderate seismicity.” Bull. Earthquake Eng. 12 (6): 2507–2530. https://doi.org/10.1007/s10518-014-9603-3.
Newell, J. D., and C. M. Uang. 2006. Cyclic behavior of steel columns with combined high axial load and drift demand. San Diego: Dept. of Structural Engineering, Univ. of California.
Newell, J. D., and C. M. Uang. 2008. “Cyclic behavior of steel wide-flange columns subjected to large drift.” J. Struct. Eng. 134 (8): 1334–1342. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:8(1334).
Palmer, K., C. Roeder, D. Lehman, T. Okazaki, and C. Shield. 2013. “Experimental performance of steel braced frames subjected to bidirectional loading.” J. Struct. Eng. 139 (8): 1274–1284. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000624.
PEER (Pacific Earthquake Engineering Research). 2013. Pacific earthquake engineering research (PEER) centre ground motion database. Berkeley, CA: PEER.
Raza, S., S. J. Menegon, H.-H Tsang, and J. L. Wilson. 2020a. “Axial load variation of columns in symmetrical RC buildings subject to bidirectional lateral actions in regions of low to moderate seismicity.” J. Earthquake Eng. 1–29. https://doi.org/10.1080/13632469.2020.1772151.
Raza, S., S. J. Menegon, H.-H. Tsang, and J. L. Wilson. 2020b. “Collapse performance of limited ductile high-strength RC columns under unidirectional cyclic actions.” J. Struct. Eng. 146 (10): 04020201. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002772.
Raza, S., S. J. Menegon, H.-H. Tsang, and J. L. Wilson. 2020c. “Force-displacement behavior of limited ductile high-strength RC columns under bidirectional earthquake actions.” Eng. Struct. 208 (Apr): 110278. https://doi.org/10.1016/j.engstruct.2020.110278.
Raza, S., H.-H. Tsang, and J. L. Wilson. 2018. “Unified models for post-peak failure drifts of normal- and high-strength RC columns.” Mag. Concr. Res. 70 (21): 1081–1101. https://doi.org/10.1680/jmacr.17.00375.
Richards, P. W., and C.-M. Uang. 2006. “Testing protocol for short links in eccentrically braced frames.” J. Struct. Eng. 132 (8): 1183–1191. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:8(1183).
Rodrigues, H., A. Furtado, and A. Arêde. 2016. “Behavior of rectangular reinforced-concrete columns under biaxial cyclic loading and variable axial loads.” J. Struct. Eng. 142 (1): 04015085. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001345.
Rodrigues, H., H. Varum, A. Arêde, and A. G. Costa. 2013. “Behaviour of reinforced concrete column under biaxial cyclic loading—State of the art.” Int. J. Adv. Struct. Eng. 5 (1): 4–12. https://doi.org/10.1186/2008-6695-5-4.
Saadeghvaziri, M. A. 1997. “Nonlinear response and modelling of RC columns subjected to varying axial load.” Eng. Struct. 19 (6): 417–424. https://doi.org/10.1016/S0141-0296(96)00086-7.
Standards Australia. 2018a. Concrete structures. AS 3600-2018. Sydney, NSW: Standards Australia.
Standards Australia. 2018b. Structural design actions. Part 4: Earthquake actions in Australia. AS 1170.4-2018. Sydney, NSW: Standards Australia.
Suzuki, Y., and D. G. Lignos. 2020. “Development of collapse-consistent loading protocols for experimental testing of steel columns.” Earthquake Eng. Struct. Dyn. 49 (2): 114–131. https://doi.org/10.1002/eqe.3225.
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Published In
Journal of Structural Engineering
Volume 147 • Issue 7 • July 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: May 25, 2020
Accepted: Feb 22, 2021
Published online: Apr 16, 2021
Published in print: Jul 1, 2021
Discussion open until: Sep 16, 2021
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