Estimation of Residual Crack Widths in Post-Yield Response Range

Abstract

Crack width calculation is one of the serviceability requirements in the structural concrete elements. Estimation of maximum crack widths under service loading, when response remains in linear range, is well studied in the literature. However, when an RC building is subjected to extreme loading such as an earthquake, peak response of RC members is usually in the post-yield region. The applicability of available crack width formulation in post-yield response range has not been studied in the literature. Additionally, the relationship between maximum crack width that occurs at peak response, and residual crack width that occurs at the end of loading, is not available in published the literature. Such relationship is useful to trace the peak loading experienced by the member from its condition, observed at the zero force condition. In the present study, the available crack width formulae are reviewed thoroughly and validated in pre- and post-yield response ranges by reproducing observed experimental responses. The simulated experimental responses are also used to develop a relationship between residual and maximum crack widths. The effect of cyclic loading on the residual crack width is also presented in the present paper.