Two-Parameter Kinematic Theory for Shear Behavior of Deep Beams

This paper presents a kinematic model for deep beams capable of describing the deformed shape of such members in terms of just two primary parameters. The kinematic model is combined with equilibrium equations and stress-strain relationships to form a theory to predict the shear strength and deformations patterns of deep beams at shear failure. These deformation patterns include crack widths, maximum deflections, and the complete displacement field for the beam. The kinematic theory predicts the components of shear strength of deep beams and how they vary with a/d ratio. These components indicate a significant size effect for the shear strength of deep beams even for members with transverse reinforcement. The theory has been validated against a large number of experimental results.