Title: Simplified Equation Based on Compatibility-Aided Truss Model for Shear Strength of Reinforced Concrete Beams

Author(s): Jung-Yoon Lee and Jinyoung Kim

Publication: Structural Journal

Volume: 113

Issue: 6

Appears on pages(s): 1301-1312

Keywords: ACI-DAfStb Database; compatibility-aided truss model; reinforced concrete beams; shear crack angle; shear strength calculation

DOI: 10.14359/51689251

Date: 11/1/2016

Abstract:
Because the post-cracking behavior of a reinforced concrete (RC) member subjected to shear was first simulated by a truss model theory at the turn of the twentieth century by Ritter and Mörsh, efforts have been made to predict both shear strength and deformation using the equilibrium and compatibility conditions and material constitutive relationships. These research efforts resulted in the development of various types of truss model, and one of them is compatibility-aided truss models. Although compatibility-aided truss models allow accurate estimation of the actual strength, identifying many variables makes the overall calculation quite complex. Alternatively, the shear strength at the yielding of shear reinforcement can be relatively easily calculated. This paper presents a simplified equation for the shear-strength calculation of RC beams based on compatibility-aided truss model. The proposed equation uses the conditions at the yielding of shear reinforcement to minimize the number of variables, thereby simplifying the calculations. The proposed equation is evaluated by comparing the results using ACI and Eurocode standards. According to the comparison results with the actual shear strength of the specimens obtained from the 941 ACI-DAfStb Database, the proposed equation demonstrates the most desirable results with the lowest coefficient of variation.