Resistance of Flat-Plate Buildings against Progressive Collapse. I: Modeling of Slab-Column Connections
Publication: Journal of Structural Engineering
Volume 141, Issue 12
Abstract
A macromodel for slab-column connections is created for use in the system-level progressive collapse analyses of reinforced concrete flat-plate structures. The proposed model jointly uses shell and connector elements to simulate the complex behavior of slabs. Shell elements are used to simulate the flexural response of slab and the load redistribution over floor slabs. The connector elements, which permit simulating separation of slab from column on a punching failure, are defined with nonlinear responses for primary bending moment and torsion. A deformation-based punching failure criterion is defined for connector elements to simulate the punching failure at a slab-column connection and failure propagation. Parameters defining concrete tension stiffening behavior under static loading, including the peak tensile stress and the tensile strain when stress degrades to zero, are calibrated from two experiments. To ensure applicability, the proposed model is validated by 24 large-scale tests conducted on isolated slab-column connection specimens subjected to concentric gravity loading, torsional loading, and uneven gravity loading.
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Acknowledgments
This paper is based on work supported by the National Science Foundation under Grant Nos. 1100877 and 1100146. The authors gratefully acknowledge the financial support from the National Science Foundation. The opinions, findings, and conclusions or recommendations expressed in this paper are those of the authors and do not necessarily reflect the views of the sponsor.
References
ABAQUS 6.10 [Computer software]. Waltham, MA, Dassault Systémes.
ACI (American Concrete Institute). (2011). “Building code requirements for structural concrete and commentary.”, Farmington Hills, MI.
Akiyama, H., and Hawkins, N. M. (1984). “Response of flat plate concrete structures to seismic and wind forces.”, Univ. of Washington, WA.
Bao, Y., Kunnath, S. K., El-Tawil, S., and Lew, H. S. (2008). “Macromodel-based simulation of progressive collapse: RC frame structures.” J. Struct. Eng., 1079–1091.
Broms, C. E. (2000). “Elimination of flat plate punching failure mode.” ACI Struct. J., 97(1), 94–101.
Cook, R. D., Malkus, D. S., Plesha, M. E., and Witt, R. J. (2001). Concept and applications of finite element analysis, 4th Ed., Wiley, New York.
Coronelli, D. (2010). “Grid model for flat-slab structures.” ACI Struct. J., 107(6), 645–653.
Criswell, M. E. (1974). “Static and dynamic response of reinforced concrete slab-column connections.”, 721–746.
DoD (Department of Defense). (2009). “Design of building to resist progressive collapse.”, Washington, DC.
Elstner, R. C., and Hognestad, E. (1956). “Shearing strength of reinforced concrete slabs.” ACI J., 53(1), 29–58.
Gardner, N. J., and Shao, X. (1996). “Punching shear of continuous flat reinforced concrete slabs.” ACI Struct. J., 93(2), 218–228.
Guandalini, S., Burdet, O. L., and Muttoni, A. (2009). “Punching tests of slabs with low reinforcement ratios.” ACI Struct. J., 106(1), 87–95.
Hawkins, N. M., Bao, A. B., and Yamazaki, J. (1989). “Moment transfer from concrete slabs to columns.” ACI Struct. J., 86(6), 705–716.
Hognestad, E. (1951). “A study of combined bending and axial load in reinforced concrete members.”, Univ. of Illinois Engineering Experimental Station.
Hsu, T. T. C. (1968a). “Torsion of structural concrete-behavior of reinforced concrete rectangular members.”, 261–306.
Hsu, T. T. C. (1968b). “Torsion of structural concrete-plain concrete rectangular sections.”, 203–238.
Kaklauskas, G., and Ghaboussi, J. (2001). “Stress-strain relations for cracked tensile concrete from RC beam tests.” J. Struct. Eng., 64–73.
Kang, T. H.-K., Wallace, J. W., and Elwood, K. J. (2009). “Nonlinear modeling of flat-plate systems.” J. Struct. Eng., 147–158.
Kanoh, Y., and Yoshizaki, S. (1979). “Strength of slab-column connections transferring shear and moment.” ACI Struct. J., 76(2), 461–478.
Khandelwal, K., El-Tawil, S., Kunnath, S. K., and Lew, H. S. (2008). “Macromodel-based simulation of progressive collapse: Steel frame structures.” J. Struct. Eng., 1070–1078.
Lee, J., and Fenves, G. L. (1998). “Plastic-damage model for cyclic loading of concrete structures.” J. Eng. Mech., 892–900.
Lips, S., Ruiz, M. F., and Muttoni, A. (2012). “Experimental investigation on punching strength and deformation capacity of shear-reinforced slabs.” ACI Struct. J., 109(6), 889–900.
Loo, Y.-C., and Guan, H. (1997). “Cracking and punching shear failure analysis of RC flat plates.” J. Struct. Eng., 1321–1330.
Lubliner, J., Oliver, J., Oller, S., and Oñate, E. (1989). “A plastic-damage model for concrete.” Int. J. Solids Struct., 25(3), 299–326.
Luo, Y. H., Durrani, A. J., and Conte, J. P. (1995). “Equivalent frame analysis of flat plate buildings for seismic loading.” J. Struct. Eng., 2137–2155.
Marzouk, H. M., and Chen, Z. (1993). “Finite element analysis of high-strength concrete slabs.” ACI Mater. J., 90(5), 505–513.
Massicotte, B., Elwi, A. E., and MacGregor, J. G. (1990). “Tension stiffening model for planar reinforced concrete members.” J. Struct. Eng., 3039–3058.
Mercan, B., Schultz, A. E., and Stolarski, H. K. (2010). “Finite element modeling of prestressed concrete spandrel beams.” Eng. Struct., 32(9), 2804–2813.
Moe, J. (1961). “Shearing strength of reinforced concrete slabs and footings under concentrated loads.”, Portland Cement Association, Skokie, IL.
Morrison, D. G., Hirasawa, I., and Sozen, M. A. (1983). “Lateral-load tests of R/C slab-column connections.” J. Struct. Eng., 2698–2714.
Muttoni, A. (2008). “Punching shear strength of reinforced concrete slabs without transverse reinforcement.” ACI Struct. J., 105(4), 440–450.
Parisch, H. (1979). “A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration.” Comput. Meth. Appl. Mech. Eng., 20(3), 323–350.
Polak, M. A. (1998). “Modeling punching shear of reinforced concrete slabs using layered finite elements.” ACI Struct. J., 95(1), 71–80.
Robertson, I. N. (1997). “Analysis of flat slab structures subjected to combined lateral and gravity loads.” ACI Struct. J., 94(6), 723–729.
Sherif, A. G., and Dilger, W. H. (1996). “Critical review of the CSA A23.3-94 punching shear strength provisions for interior columns.” Can. J. Civ. Eng., 23(5), 998–1011.
Sheu, M. S., and Hawkins, N. M. (1980). “Grid model for predicting the monotonic and hysteretic behavior of slab-column connections transferring moments.”, 79–111.
Stramandinoli, R. S. B., and LaRovere, H. L. (2008). “An efficient tension-stiffening model for nonlinear analysis of reinforced concrete members.” Eng. Struct., 30(7), 2069–2080.
Tian, Y. (2007). “Behavior and modeling of reinforced concrete slab-column connections.” Ph.D. dissertation, Univ. of Texas at Austin, Austin, TX.
Tian, Y., Chen, J., Said, A., and Zhao, J. (2012). “Nonlinear modeling of flat-plate structures using grid beam elements.” Comput. Concr., 10(5), 489–505.
Tian, Y., Jirsa, J. O., and Bayrak, O. (2008a). “Strength evaluation of interior slab-column connections.” ACI Struct. J., 105(6), 692–700.
Tian, Y., Jirsa, J. O., and Bayrak, O. (2009). “Nonlinear modeling of slab-column connections under cyclic loading.” ACI Struct. J., 106(1), 30–38.
Tian, Y., Jirsa, J. O., Bayrak, O., Widiantoand Argudo, J. F. (2008b). “Behavior of slab-column connections of existing flat-plate structures.” ACI Struct. J., 105(5), 561–569.
Wang, W., and Teng, S. (2008). “Finite-element analysis of reinforced concrete flat plate structures by layered shell element.” J. Struct. Eng., 1862–1872.
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© 2015 American Society of Civil Engineers.
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Received: May 27, 2014
Accepted: Jan 26, 2015
Published online: Mar 18, 2015
Discussion open until: Aug 18, 2015
Published in print: Dec 1, 2015
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