Statistics of Single-Degree-of-Freedom Estimate of Displacement for Pushover Analysis of Buildings
Publication: Journal of Structural Engineering
Volume 129, Issue 4
Abstract
Investigated is the basic premise that the roof displacement of a multistory building can be determined from the deformation of a single-degree-of-freedom (SDF) system. The responses of both systems are determined rigorously by nonlinear response history analysis, without introducing any of the approximations underlying the simplified methods for estimating the deformation of a SDF system (see, e.g., FEMA-273 or ATC-40 guidelines). The statistics of the SDF system estimate of roof displacement are presented for a variety of generic frames and six SAC buildings subjected to ground motion ensembles. Data obtained for generic frames indicate that the first “mode” SDF system overestimates the median roof displacement for systems subjected to large ductility demand μ, but underestimates for small μ. The bias and dispersion tend to increase for longer period system for every value of μ. Similar data for SAC buildings demonstrate that the bias and dispersion on the SDF estimate of roof displacement increases when P-delta effects (due to gravity loads) are included. The modal pushover analysis procedure has the advantage of reducing the dispersion in the roof displacement and the underestimation of the median roof displacement for elastic or nearly elastic cases at the expense of increasing slightly the overestimate of roof displacement of buildings responding far into the inelastic range.
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References
Applied Technology Council (ATC). (1996). “Seismic evaluation and retrofit of concrete buildings.” Rep. No. ATC-40, Redwood City, Calif.
Benjamin, J. R., and Cornell, C. A. (1970). Probability, statistics, and decision for civil engineers, McGraw-Hill, New York.
Building Seismic Safety Council (BSSC). (1997). NEHRP guidelines for the seismic rehabilitation of buildings, FEMA-273 and Commentary FEMA-274, Federal Emergency Management Agency, Washington, D.C.
Chintanapakdee, C., and Chopra, A. K. (2003). “Evaluation of modal pushover analyses for generic frames.” Earthquake Eng. Struct. Dyn., 32(3), 417–442.
Chopra, A. K. (2001). Dynamics of structures: theory and applications to earthquake engineering, 2nd Ed., Prentice Hall, Englewood Cliffs, N.J.
Chopra, A. K., and Goel, R. K.(2002). “A modal pushover analysis procedure for estimating seismic demands for buildings.” Earthquake Eng. Struct. Dyn., 31(3), 561–582.
Chopra, A. K., Goel, R. K., and Chintanapakdee, C. (2001). “Statistics of SDF-system estimate of roof displacement for pushover analysis of buildings.” PEER Rep. No. 2001/16, Pacific Earthquake, Engineering Research Center, Univ. of Calif., Berkeley, Calif.
Collins, K. R., Wen, Y. K., and Foutch, D. A.(1996). “Dual-level seismic design: a reliability-based methodology.” Earthquake Eng. Struct. Dyn., 25(12), 1433–1467.
Goel, R. K., and Chopra, A. K.(1997). “Period formulas for moment-resisting frame buildings.” J. Struct. Eng., 23(11), 1454–1461.
Gupta, A., and Krawinkler, H. (1999). “Seismic demands for performance evaluation of steel moment resisting frame structures (SAC Task 5.4.3).” Rep. No. 132, John A. Blume Earthquake Engineering Center, Stanford Univ., Stanford, Calif.
Gupta, A., and Krawinkler, H.(2000). “Estimation of seismic drift demand for frame structures.” Earthquake Eng. Struct. Dyn., 29(9), 1287–1305.
Miranda, E. (1991). “Evaluation and upgrading of existing buildings.” Ph.D. dissertation, Univ. of California, Berkeley, Calif.
Miranda, E. (1997). “Estimation of maximum interstory-drift demands in displacement based design.” Seismic design methodologies for the next generation of codes, P. Fajfar and H. Krawinkler, eds., Balkema, Rotterdam, The Netherlands, 253–264.
Miranda, E.(1999). “Approximate seismic lateral deformation demands in multistory buildings.” J. Struct. Eng., 125(4), 417–425.
Somerville, P., Smith, N., Punyamurthula, S., and Sun, J. (1997). “Development of ground motion time histories for Phase 2 of the FEMA/SAC steel project.” SAC Background Document Rep. No. SAC/BD-9/04, SAC Joint Venture, Sacramento, Calif.
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Copyright © 2003 American Society of Civil Engineers.
History
Received: Dec 14, 2001
Accepted: May 22, 2002
Published online: Mar 14, 2003
Published in print: Apr 2003
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