Abstract：In order to predict cumulative damage and residual capacity of reinforced concrete
columns (RC) under and after cyclic loading, a simplified numerical method based on lateral load-
deformation relations of RC columns under monotonic and cyclic loading is suggested. In the
simplified method, a multi-scale concrete damage model, which is a quantitative expression of
damage factor of concrete effective module and concrete strain, is proposed by using the
consistent method and the Weibull statistical analysis. The lateral load-deformation relation of
RC columns under monotonic loading is obtained through a non-linear numerical analysis. Secondly,
according to the analysis of longitudinal bar plastic accumulated damage, a new damage model for
compression-bending columns is proposed. The parameters are determined by means of experimental
results obtained from the existing work. The degradation law of secant stiffness and resistance
capacity is presented. At last, based on the above-mentioned work, the cumulated strain of
concrete and longitudinal reinforcement in the columns are obtained, as well as the concrete
effective elastic module. Then the numerical method for estimating residual bearing capacity and
deformation of RC columns after cyclic loading is presented. A nonlinear damage analysis program
is developed to validate the calculating results of the columns after cyclic loading tests. The
results show that the relative errors of both the simulation and tests are controlled within the
scope of engineering errors, which verifies the reliability and applicability of the numerical
analytical method.
