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the r factor for rc-frame with uniform dimensions was found to be equal to r2/r1, where r2 is the seismic response of rc-frame with non-uniform dimensions and r1 is the seismic response of rc-frame with uniform dimensions, as shown in figure 14. the r-factor for rc-frame with uniform dimensions and non-uniform dimensions is represented by figure 15.


the r-factor for rc-frame with non-uniform dimensions is higher than the r-factor for rc-frame with uniform dimensions. the difference in r-factor is explained as follows. the r-factor for rc-frame with uniform dimensions is given as:


where ζ1 is the r-factor for rc-frame with uniform dimensions and t1n is the time to the first floor-deflection for non-uniform dimensions; r2=ζ2t2n=ζ2(1+t2n2), where ζ2 is the r-factor for rc-frame with non-uniform dimensions and t2n is the time to the first floor-deflection for non-uniform dimensions.


when considering the seismic requirements of rc frames, the optimal design is to use frames with the minimum height and with the maximum height of the top and bottom of the rc frame is equal to the span of the frame. for some cases where the frame height is less than the span of the frame, the base shear r factor increases. the existing design codes do not provide a definition for this case. thus, this study aims to determine the r factor for frames that have a height that is less than the span of the frame. a case study consisting of frames with different heights (0.20, 0.25, 0.30, and 0.40) and different spans (0.05, 0.10, and 0.15) is considered and the optimal span lengths are determined by using nonlinear static analysis. the r factor is determined by using a sap2000 program with fema 356 provisions. it is found that r factor increases with increasing height of selected floors. it is recommended to consider the r factor for this case. 3d9ccd7d82






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