| by C.-M. Uang and A. Maarouf
 September 1996, 167 pp.
 Click on the link below for the full text: 
 Abstract
 
      
    Displacement amplification factor (DAF) for seismic design of multistory buildings has been 
    investigated. Expressed in terms of the seismic force reduction factor (FRF), which is better 
    known as the R, factor in Uniform Building Code (UBC) and R factor in NEHRP Recommended 
    Provisions, it was observed that the DAF/FRF ratios used in UBC and NEHRP are much smaller 
    than those used in the Mexican Code and Eurocode.
 Four buildings (two steel and two reinforced concrete structures) which have been instrumented 
    by the California Division of Mines and Geology were studied to investigate if the DAF used 
    in UBC or NEHRP significantly underestimates maximum (inelastic) deformations. Building response 
    recorded during the 1989 Loma Prieta earthquake was used to calibrate mathematical models of 
    these buildings. Dynamic analyses were performed to investigate the relationship between the 
    DAF and FRF; an assemble of California historical earthquake records was used as input ground 
    motions. The effects of structural overstrength, types of collapse mechanism, stiffness 
    degradation, damping, fundamental period, and earthquake characteristics (impulse versus 
    "standard" type earthquakes, strong motion duration, earthquake predominant period) on the 
    DAF were investigated. The reliability of using a DAF as derived from either single-degree-of-
    freedom (SDOF) systems or shear building models (i.e., "stick" models) for practical design 
    was also studied.
 
 The results have indicated that neither SDOF systems nor shear building models provides reliable 
    prediction of DAF for multistory buildings. It was found that the DAF/FRF ratio is practically 
    independent of the structure's fundamental period as long as it is longer than 0.3 of the 
    earthquake predominant period. The DAF/FRF ratio for estimating roof drift does not appear to 
    be affected by the type of failure mechanism and stiffness degradation. Nevertheless, this is 
    not true for estimating story drift; the DAF/FRF ratio can be significantly higher than 1.0 for 
    stiffness degrading systems with a soft story. Although the DAF required to estimate roof drift 
    is slightly less than FRF, the DAF for estimating story drift can be significantly higher than 
    FRF. For simplicity, it is recommended that a DAF which is equal to FRF be used for design purposes.
 
 
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