Structural damage under seismic force is quantified by the calculation of damage index (DI), a coefficient which represents the degree of damage of the structure, and typically ranges from 0 to 1, with the value of 1 representing collapse. Based on a few specified damage models, a new original deterministic declaration of the DI is presented. Damage Index spectral functions are performed by an extensive parametric study using different earthquakes and different structures modelled as SDOF systems. A detailed analysis of the dynamic properties of reinforced concrete (RC) frame structures, as well as post elastic parameters of vertical structural elements using a large number of available experiments is also carried out, thus relating the parameters of real buildings and seismic loads defined by peak ground acceleration to the DI coefficients of structures. The results are seismic damage spectrum functions of RC frame structures.
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