A unified approach for analysis of slender reinforced concrete columns with one-element-per-member modeling method

Marcos Antonio Campos Rodrigues , Sara de Jesus Bulhosa , Rodrigo Bird Burgos , Luiz Fernando Martha

Abstract

The design of slender reinforced concrete columns using the Finite Element Method (FEM) typically requires a full nonlinear analysis. Such analysis demands refined discretization, and the element formulation must account for both geometric and material nonlinearities, implemented within a robust solver using incrementaliterative methods. In this context, this paper proposes a one-element formulation for the design of slender reinforced concrete columns, based on analytical interpolation functions associated with the moment-curvature relationship and the Two Cycles Iterative Method. The results demonstrate that the proposed formulation can efficiently capture the P- o effect and accurately compute the bending moment distribution along slender columns using a single element per member, eliminating the need for structural discretization and complex nonlinear solution schemes.

Key Words

analytical interpolation functions; moment-curvature relationship; one-element formulation; slender reinforced concrete columns; two cycles iterative method

Address

Marcos Antonio Campos Rodrigues — Department of Civil Engineering, Federal University of Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, Vitória, ES 29075-910, Brazil
Sara de Jesus Bulhosa — Department of Civil Engineering, Federal University of Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, Vitória, ES 29075-910, Brazil
Rodrigo Bird Burgos — Department of Structures and Foundations, Rio de Janeiro State University, St. São Francisco Xavier, 524, Maracanã Rio de Janeiro, RJ 20550-900, Brazil
Luiz Fernando Martha — Department of Civil and Environmental Engineering, Pontifical Catholic University of Rio de Janeiro, St. Marques de São Vicente, 225, Gávea, Rio de Janeiro, RJ 22451-900, Brazil

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