A Fiber Beam Element with Axial, Bending and Shear Interaction for Seismic Analysis of RC Structures

Abstract eng:
Inelastic failure of reinforced concrete (RC) structures under seismic loadings can be due either to loss of flexural, shear or bond capacity. Specifically, the effect of combined loadings can lead to a complex failure mechanism that plays a vital role in concrete mechanics. This paper describes the formulation of an inelastic nonlinear beam element with axial, bending, and shear force interaction. The element considers shear deformation and is based on the section discretization into fibers with hysteretic material models for the constituent materials. The steel material constitutive law follows the Menegotto-Pinto model. The concrete material model uses an orthotropic constitutive relation in which the directions of orthotropy are the principal directions of total strain. These directions will change during the loading history, in accordance with the well-known rotating crack model. The concrete model accounts for the biaxial state of stress in the directions of orthotropy, in addition to degradation under reversed cyclic loading. Shear deformations are coupled with bending effects. Transverse strains are internal variables determined by imposing equilibrium at each fiber between the concrete and the vertical steel stirrups. Element forces are obtained by performing equilibrium based numerical integration on section axial, flexural, and shear behavior along the length of the element. In order to establish the validity of the proposed model correlation studies were conducted between analytical results and experimental tests of columns tested under cyclic loading. A structural analysis of a shear sensitive bridge pier subjected to ground input motion is also presented.

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