A fiber-section model for nonlinear analysis of shear-critical reinforced concrete frames is developed. The model incorporates a new procedure for the computation of an exact shear strain profile and corresponding shear stress distribution over the cross section. Longitudinal axial strains are evaluated based on the plane section assumption, whereas transverse strains are determined from equilibrium in the vertical direction, following classical beam assumptions. Axial-shear interaction at the fiber level is based on a smeared-crack orthotropic constitutive model, which uses equivalent uniaxial material models for concrete and steel in the crack and reinforcement directions, respectively. Shear strain components at the crack, arising from deviations between principal and crack directions, are related to shear stresses by means of a shear stiffness term that fully satisfies compatibility and equilibrium conditions. The procedure was implemented into a force-based element and applied to monotonic and cyclic analysis of lightly reinforced beams, shear-critical frames, and columns.
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Kagermanov et al. (2017) studied this question.
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