Modal analysis and response spectra are use to develop an approximate method for earthquake analysis of unsymmetrical multistoried buildings modeled as shear-flexible cantilever beams. The beam has constant mass per unit length and a linear variation of elastic shearing resistance along its length. Existing modal solutions are used and response spectra for two horizontal earthquake components are included in the analysis. Solutions for a typical building are presented and compared with an exact form of solution.
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Gibson et al. (1972) studied this question.
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