Tension‐Stiffness Model for Reinforced Concrete Bars

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Abstract
An analytical formulation for modeling the tension‐stiffness phenomenon in cracked reinforced concrete bars is presented. It is assumed that the bond stress‐slip relationship is bilinear, and remains linear throughout the bar in the initial stages of the cracking. At the later stages, the bond stress becomes constant. Unlike in the reinforced concrete models currently in use, it is shown that the tension‐stiffness phenomenon is a function of the parameters of the problem, viz., the area parameter, the bond parameter, and the strength parameter. A simplified model is also presented in which the bond parameter is eliminated. Results from the present model are compared with those from some test results. Various implications related to the assumptions and the conclusions are reviewed. The experimental results show a marked reduction in the tensile capacity of concrete at higher deformations that cannot be explained by the proposed relationships. A possible solution is to use a variable concrete tensile streng...

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