A novel hybrid beam element for nonlinear analysis of prestressed concrete girders

Abstract

The interaction between prestressing reinforcement and concrete material in pretensioned and post-tensioned, fully or partially prestressed concrete analysis can be accommodated totally in one-dimensional finite element mixed formulation systematically. The beam element formulation presented in this paper facilitates the nonlinear material, finite deformation as well as the cohesive behavior between prestressing tendons and concrete girders in an effective and straight forward algorithm.

The spatial L2 beam element has been enriched to incorporate the additional two degrees of freedom of the reinforcement slip/gap on the nodes of the one-dimensional mesh, corresponding to the top and bottom groups of strands/tendons prescribed in the beam section’s overlay two-dimensional mesh. The overlay mesh of the interior/exterior prestressing reinforcements gives the opportunity to extract beam section indices via a few two dimensional, e.g. Q4, elements.

The ultimate limit state of several prestressed concrete designs has been studied for unidirectional and hysteresis modes and verified using three-dimensional solid elements. The results obtained demonstrate the accuracy, stability and efficacy of the algorithm for the analysis of multi-degrees of freedom prestressed concrete structures.

Graphical abstract

Keywords

prestressed concrete / reinforcement / finite element / beam element / nonlinear analysis

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