Biaxial column element for nonlinear dynamic analysis of space-frame reinforced concrete structures

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Abstract
A new Finite Element is proposed for flexure-dominated reinforced concrete columns subjected to cyclic biaxial bending with axial load, and its implementation into a Program for nonlinear static or dynamic analysis of structures in three-dimensions, is described. The Element tangent flexibility matrix is constructed at each time-step by Gauss-Lobatto integration of the section tangent flexibility matrix along the member. The tangent flexibility matrix of the cross-section relates the increments of the normal stress resultants N, My, Mz, to the increments of the section deformation measures, ε0, φy, φz, and is constructed on the basis of the Bounding Surface of the cross-section, defined as the locus of points in the space N-My-Mz which correspond to ultimate strength. The model produces realistic predictions for the experimental behavior of members subjected to arbitrary loading paths in the space N-My-Mz.

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