Layer Model of Bending‐Shear Failure in RC Plates and Beams

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Abstract
An analytical model of the progressive bending‐shear failure of reinforced concrete (RC) beams and plates is proposed and validated by comparison to experiments. The model uses the transverse shear deformation associated with the Mindlin or Timoshenko hypotheses. The transverse normal strain is determined from an equilibrium condition. The model can be used in the analysis of the static limit load and dynamic transient phenomena in these structures. The transverse equilibrium condition and the compatibility of strains are approximately satisified when the shear force and conjugate transverse shear deformation vary moderately along the beam axis. The assumed stress field is a generalized continuum counterpart of the strut‐and‐tie model of the limit shear strength theory of RC beams. The present model is independent of actual material laws of the materials involved, provided the material law of concrete includes the inelastic volumetric tension to account for smeared cracks. The model is validated by comparison to static tests of RC beams and a dynamic impact test of a circular RC plate.

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