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Incremental Dynamic Analysis (IDA) is an emerging structural analysis method that offers thorough seismic demand and limit-state capacity prediction capability by using a series of nonlinear dynamic analyses under a suite of multiply scaled ground motion records. Incremental Dynamic Analysis procedure is adopted here for the analysis of sample building. A suite of 7 selected ground motion time histories used to analyze RC Shell Structure for performing IDA. The seismic performance of the RC Shell Strucutre is quantified in terms of yield and collapse capacities in terms of various ground motion indices, which are derived from IDA curves. The yield capacity of the structure is defined as the level of Intensity at which the IDA curve leaves the linear path. Similarly, the collapse capacity is defined as the IM level at which the IDA curve becomes horizontal. Fragility curves defined as the probability of exceeding a damage level (yielding/collapse) at various levels of IM are then plotted for these two damage levels. The fragility curves for yielding and collapse damage levels are developed by statistically interpreting the results of the time-history analyses.