Reinforced concrete structures are prone to fail by an interaction of bending, shear and axial forces. This paper investigates the effect of combined loadings which can lead to a complex failure mechanism.
A non-linear force based Timoshenko beam element is formulated with the consideration of the concretes orthotropic constitutive relation in which the directions of orthotropy are the principal directions of total strain. The structural tangent stiffness matrix is formulated which relates the increments of load to corresponding increments of displacement. Simplified cyclic uni-axial constitutive relationships are developed for cracked concrete in compression and tension. This model includes the softening effect of the concrete due to lateral tensile strain. Shear mechanism at each concrete fiber of a cross-section is modeled by assuming the strain field of the section as given by the superposition of the classical plane section hypothesis for the longitudinal strain field with a uniform distribution over the cross-section for the shear strain field. To establish the validity of the proposed model, correlation studies with experimental evidence have been conducted.
- Geosyntec Authors: Ravi Mullapudi
- All Authors: Ashraf Ayoub, Ravi Mullapudi
- Title: Constitutive Behavior of Reinforced Concrete Beam-Columns under Cyclic Loading
- Event or Publication: Studies and Researches: Annual Review of Structural Concrete
- Practice Areas: Structural Assessment
- Date: 2013