Abstract
A new method of combining modal responses in the response spectrum method of analysis was recently presented by Gupta and Cordero, which is designated here as Gupta's method. It is shown that the response spectrum method in conjunction with Gupta's method of modal combination gives results which are very close to those obtained from the time-history analysis. Further, Gupta's method gives results which are more accurate than other methods of modal combination discussed here, viz., SRSS, Kennedy's and Hadjian's. In Gupta's method response in any mode is split into two parts, the damped periodic part and the rigid part, which are mutually uncorrelated. This is done using a rigid response factor. A simple expression for the rigid response coefficient is presented. The key frequencies in the expression can be evaluated from the motion response spectrum. There is good agreement between the proposed expression and the numerically obtained rigid response coefficient.
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