Investigated in this report is the basic premise that the roof displacement of a multistory building can be determined from the deformation of an SDF system. For this purpose, the response of both systems is determined rigorously by nonlinear response history analysis, without introducing any of the approximations underlyi ng the simplified methods for estimating the deformation of an 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 building frames and six SAC buildings subjected to ground motion ensembles.
Two sets of structural systems and ground motions are considered. The first set is generic one-bay frames of six different heights: 3, 6, 9, 12, 15, and 18 stories designed for ductility factor 1, 1.5, 2, 4, and 6 μ = subjected to 20 large-magnitude, small-distance records. The second set is six “SAC” buildings—9- and 20-story model buildings designed according to Los Angeles, Seattle, and Boston codes—subjected to 20 ground motion records representing 2% probability of exceedance in 50 years.
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