Nonlinear Modeling of Flat-Plate Systems
Publication: Journal of Structural Engineering
Volume 135, Issue 2
Abstract
Analytical and experimental studies were undertaken to assess and improve modeling techniques for capturing the nonlinear behavior of flat-plate systems using results from shake table tests of two, approximately one-third scale, two-story reinforced concrete and posttensioned concrete slab–column frames. The modeling approach selected accounts for slab flexural yielding, slab flexural yielding due to unbalanced moment transfer, and loss of slab-to-column moment transfer capacity due to punching shear failure. For punching shear failure, a limit state model based on gravity shear ratio and lateral interstory drift was implemented into a computational platform (OpenSees). Comparisons of measured and predicted responses indicate that the proposed model was capable of reproducing the experimental results well for an isolated connection test, as well as the two shake table test specimens.
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Acknowledgments
The work presented in this paper was sponsored by Phase IV of the Joint CUREE-Kajima Research Program. The writers would like to thank UCLA Ph.D. student Changsoon Rha for his early assistance in developing the OpenSees models for the test specimens. The views expressed are those of the writers, and do not necessarily represent those of the sponsor.
References
Allen, F. H., and Darvall, P. LeP. (1977). “Lateral load equivalent frame.” ACI J., 74(7), 294–299.
American Concrete Institute (ACI). (1999). “Shear reinforcement for slabs.” ACI 421.1R-99, ACI-ASCE Committee 421, Farmington Hills, Mich.
American Concrete Institute (ACI). (2005). “Building code requirements for reinforced concrete.” ACI 318-05, Farmington Hills, Mich.
Arias, A. (1970). “A measure of earthquake intensity.” Seismic design for nuclear power plant, R. J. Hansen, ed., MIT Press, Cambridge, Mass., 438–483.
Aschheim, M., and Moehle, J. P. (1995). “Four-story flat-slab building in Sherman Oaks.” Preliminary Building Rep. to ATC-33 Case Study, Berkeley, Calif.
Computer and Structures, Inc. (1999). ETABS linear and nonlinear static and dynamic analysis and design of building systems, user’s manual, Vol. 1–2, 1st Ed., Berkeley, Calif.
Computer and Structures, Inc. (2000). SAP2000 three dimensional static and dynamic finite element analysis and design of structures, Analysis Ref., Ver. 7.4, Berkeley, Calif.
Dovich, L., and Wight, J. K. (1994). “Lateral response of nonseismically detailed reinforced concrete flat slab structures.” Rep. No. 400/U423/94-30, Univ. of Michigan, Ann Arbor, Mich.
Elwood, K. J. (2002). “Shake table tests and analytical studies on the gravity load collapse of reinforced concrete frames.” Ph.D. thesis, Univ. of California, Berkeley, Calif.
Federal Emergency Management Agency (FEMA). (1997). “Commentary on the guidelines for the seismic rehabilitation of buildings.” FEMA-274, Washington, D.C.
Federal Emergency Management Agency (FEMA). (2000). “Pre-standard and commentary for the seismic rehabilitation of buildings.” FEMA-356, Washington, D.C.
Filippou, F. C., D’Ambrisi, A., and Issa, A. (1992). “Nonlinear static and dynamic analysis of RC subassemblages.” Rep. No. UCB/EERC-92/08, Earthquake Engineering Research Center, Univ. of California Berkeley, Calif.
Hueste, M. B. D., and Wight, J. K. (1997). “Evaluation of a four-story reinforced concrete building damaged during the Northridge Earthquake.” Earthquake Spectra, 13(3), 387–414.
Hueste, M. B. D., and Wight, J. K. (1999). “Nonlinear punching shear failure model for interior slab-column connections.” J. Struct. Eng., 125(9), 997–1008.
International Code Council. (2006). “International building code 2006.” IBC-2006, Falls Church, Va.
Kang, T. H.-K. (2004). “Shake table tests and analytical studies of reinforced and post-tensioned concrete flat plate frames” Ph.D. thesis, Univ. of California, Los Angeles.
Kang, T. H.-K., and Wallace, J. W. (2005). “Dynamic responses of flat plate systems with shear reinforcement.” ACI Struct. J., 102(5), 763–773.
Kang, T. H.-K., and Wallace, J. W. (2006). “Punching of reinforced and post-tensioned concrete slab-column connections.” ACI Struct. J., 103(4), 531–540.
Kang, T. H.-K., and Wallace, J. W. (2008). “Stresses in unbonded tendons of post-tensioned flat plate systems under dynamic excitation.” PTI J., 6(1), 45–59.
Luo, Y. H., Durrani, A. J., and Conte, J. P. (1994). “Equivalent frame analysis of flat plate building for seismic loading.” J. Struct. Eng., 120(7), 2137–2155.
McKenna, F., and Fenves, G. (2001). The OpenSees command language manual: Version 1.2, Pacific Earthquake Engineering Research Center, ⟨http://opensees.berkeley.edu⟩ (Dec. 31, 2006), Univ. of California, Berkeley, Calif.
Megally, S., and Ghali, A. (1994). “Design considerations for slab-column connections in seismic zones.” ACI Struct. J., 91(30), 303–314.
Moehle, J. P., and Diebold, J. W. (1984). “Experimental study of the seismic response of a two-story flat-plate structure.” Rep. No. UCB/EERC 84/08, Earthquake Engineering Research Center, Univ. of California, Berkeley, Calif.
Pan, A., and Moehle, J. P. (1989). “Lateral displacement ductility of reinforced concrete flat plates.” ACI Struct. J., 86(3), 250–258.
Park, R., and Gamble, W. L. (2000). Reinforced concrete slabs, 2nd Ed., Wiley, New York.
Pecknold, D. A. (1975). “Slab effective width for equivalent frame analysis.” ACI J., 72(4), 135–137.
Robertson, I., and Johnson, G. (2006). “Cyclic lateral loading of nonductile slab-column connections.” ACI Struct. J., 103(3), 356–364.
Robertson, I. N., Kawai, T., Lee, J., and Enomoto, B. (2002). “Cyclic testing of slab-column connections with shear reinforcement.” ACI Struct. J., 99(5), 605–613.
Scott, B. D., Park, R., and Priestley, M. J. M. (1982). “Stress-strain behavior of concrete confined by overlapping hoops at low and high strain rates.” ACI Struct., 79(1), 13–27.
Spacone, E., Filippou, F. C., and Taucer, F. F. (1996). “Fiber beam-column model for nonlinear analysis of R/C Frames. Part I: Formulation.” Earthquake Eng. Struct. Dyn., 25(7), 711–725.
Takeda, T., Sozen, M. A., and Nielson, N. N. (1970). “Reinforced concrete response to simulated earthquakes.” ASCE J. Struct. Div., 96(12), 2557–2573.
Tang, X., and Goel, S. C. (1988). “DRAIN-2DM technical notes and user’s guide.” Research Rep. No. UMCE 88-1, Univ. of Michigan, Ann Arbor, Mich.
Wallace, J. W. (2007). “Modeling issues for tall reinforced concrete core wall buildings.” Proc., 2007 Annual Meeting, Los Angeles Tall Buildings Structural Design Council, Los Angeles, Calif., 88–102.
Yassin, M. H. M. (1994). “Nonlinear analysis of prestressed concrete structures under monotonic and cyclic loads.” Ph.D. thesis, Univ. of California, Berkeley, Calif.
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© 2009 ASCE.
History
Received: Aug 16, 2006
Accepted: Jul 23, 2008
Published online: Feb 1, 2009
Published in print: Feb 2009
Notes
Note. Associate Editor: Li Bing
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