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Influence of fundamental mode shapes on equivalent static wind loads of tall buildings

LI Yonggui;LI Qiusheng;School of Civil Engineering,Hunan University of Science and Technology;Dept.of Architecture and Civil Engineering,City University of Hong Kong;  
In the Chinese load code,the background component factor and the resonant component factor are the main parameters for calculating the dynamic response factor.Simplified formula is used to calculate the background component factor with the fundamental mode shape in the load code adopted.In this paper,the calculation results of the simplified formula and the detailed formula were compared.Then based on different fundamental mode shapes,the results of dynamic response factors and equivalent static wind loads were compared also.Numerical example shows that using the fundamental mode shape in the code,the results by the two formulas are consistent.Compared with the results by using some other fundamental mode shapes,the dynamic response factors calculated by the fundamental mode shape in the code are different.Furthermore,the error of the base shear force may reach to more than 5%.Based on the index-type model expressions,the coefficients k and a1 of the simplified formula were fitted by the nonlinear least-squares method,with witch the calculating results of the simplified formula are basically consistent to that of the detailed formula.
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