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Earthquakes and Structures
  Volume 2, Number 1, March 2011 , pages 65-88
DOI: https://doi.org/10.12989/eas.2011.2.1.065
 


Modal strength reduction factors for seismic design of plane steel frames
George A. Papagiannopoulos and Dimitri E. Beskos

 
Abstract
    A new method for the seismic design of plane steel moment resisting frames is developed. This method determines the design base shear of a plane steel frame through modal synthesis and spectrum analysis utilizing different values of the strength reduction (behavior) factor for the modes considered instead of a single common value of that factor for all these modes as it is the case with current seismic codes. The values of these modal strength reduction factors are derived with the aid of a) design equations that provide equivalent linear modal damping ratios for steel moment resisting frames as functions of period, allowable interstorey drift and damage levels and b) the damping reduction factor that modifies elastic acceleration spectra for high levels of damping. Thus, a new performance-based design method is established. The direct dependence of the modal strength reduction factor on desired interstorey drift and damage levels permits the control of deformations without their determination and secures that deformations will not exceed these levels. By means of certain seismic design examples presented herein, it is demonstrated that the use of different values for the strength reduction factor per mode instead of a single common value for all modes, leads to more accurate results in a more rational way than the codebased ones.
 
Key Words
    modal strength reduction (behavior) factor; equivalent linear modal damping ratios; damping reduction factors; interstorey drift; damage; seismic design; steel moment resisting frames.
 
Address
George A. Papagiannopoulos: Dept. of Civil Engineering, University of Patras, 26500 Rio-Patras, Greece
Dimitri E. Beskos: Dept. of Civil Engineering, University of Patras, 26500 Rio-Patras, Greece
Office of Theoretical and Applied Mechanics, Academy of Athens, 4 Soranou Efessiou str. 11527 Athens, Greece
 

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