Title: The Moment-Curvature Relationship of Reinforced Concrete
Author(s): Domingo J. Carreira and Kuang-Han Chu
Publication: Journal Proceedings
Appears on pages(s): 191-198
Keywords: cracking (fracturing); deflection; moment-curvature relationship;
reinforced concrete; strains; stresses; stress-strain diagram.
Presents a general method to compute the location of the zero strain surface and the curvature-versus-moment relationship. The method consists of solving a nonlinear second degree equation. Concrete nonlinear stress-strain diagrams in compression and tension showing ascending and descending branches are used to evaluate the effects of the reinforcement ratio and cracking on the curvature-versus-moment relationship. The agreement between the theoretical results and the experimental data is remarkably good. Limitations in the experimental data to determine the curvature are discussed in terms of the gage length, its location with respect to the plane of the reinforcement, and the elapsed time between loading and strain measurement.