Simple model for reinforcing bar anchorages under cyclic excitations

A simple and computationally attractive model of the hysteretic response of reinforcing bar anchorages under severe cyclic excitations is presented. The model is based on a piecewise linear approximation of the bond stress distribution function along the bar anchorage length. Only three intermediate points located between the ends of the bar suffice to yield results which match the finite element solution of the problem. The bond stress value at these intermediate points is established by iteratively satisfying the equilibrium and compatibility equations of the bond problem. The proposed model is used to calculate the response of the bottom reinforcing bars of an interior beam-column joint subjected to deformation reversals of increasing magnitude as well as the response of a single reinforcing bar subjected to cyclic push-pull. The results are compared with the finite element solution of the studied cases.