A novel approach to residual stiffness analysis of flexural concrete elements with composite reinforcement

Abstract

This study introduces a simplified tension-stiffening approach for the flexural stiffness analysis. It employs a new testing layout designed with the purpose to form multiple cracks in a small laboratory specimen. The proposed analytical model is based on the following assumptions: smeared crack approach; linear strain distribution within the section depth; elastic behaviour of reinforcement and compressive concrete; a rectangular distribution of stresses in the tensile concrete. The latter assumption enables obtaining a closed-form solution of the tension-stiffening problem. The achieved solution requires neither iterative calculations nor description of the loading history. The proposed methodology is acceptable for estimating residual stiffness of elements with various combinations of reinforcement. The application of the proposed technique is illustrated experimentally. Several composite reinforcement schemes are considered. The specimens are subjected to monotonic and cyclic loading patterns.