Limit state model for R.C. bridge joints under seismic loading

Most of the available models of monolithic reinforced concrete joints under seismic action focus on estimation of cracking and ultimate shear strengths. Very few studies have been directed towards developing expressions for the associated joint deformations at the milestone response points so as to compose a limit-state model for joints that would be compatible with the emerging framework of deformation based seismic assessment and design methods. This objective is pursued in the present paper with particular emphasis on monolithic bridge joints. Deformation capacity at yielding and failure of joints is derived by establishing equilibrium and geometric compatibility of smeared stresses and strains, and satisfying material constitutive relationships. Expressions and model parameters are calibrated with the database of published bridge joint tests assembled from International literature, using statistical evaluation. From the mean values of the design parameters simplified equations for shear strength and ultimate shear strain of bridge joints are proposed.