First Mode Procedure in Response Spectrum Method

Abstract eng:
The response spectrum method, as usually applied, provides the maximum positive values of individual response, but the critical combination of these responses may be characterized by negative values and may even not involve any of these maxima. In the present study the combination of these responses has been evaluated according to the three following procedures: 1) “first mode method”, which gives the signs of the first mode to the maximum positive values of individual responses; 2) “diagonal method”, which assumes all positive the maximum values of individual responses; 3) “rectangular envelope”, which assumes every possible combination of the signs of the seismic responses (e.g. for column biaxial bending and axial load eight combinations are considered). The results show that the “first mode procedure” leads to the lowest quantity of reinforcement, i.e. it is favourable from an economic point of view; furthermore it is simple and very reliable.

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