Análise não linear via elementos finitos de vigas de concreto com protensão não aderente

Abstract

This work aims to present a finite element model for nonlinear material and geometric analysis of prestressed concrete beams with internal and external unbonded tendons. The beam theory of Euler-Bernoulli-Navier was used for the development of the plane frame finite element formulation. The geometric nonlinearity was found over the total Lagrangian formulation. The tendons was modeled using truss elements from the cable discretization in straight sections. The layer method was used for integration of the internal forces and the tangent stiffness matrix in cross section, and integration over the element was made by the Gaussian quadrature. The constitutive law adopted for concrete in compression was the Eurocode 2 (2004) and Zupan e Saje (2005), although other curves have been implemented for comparison. The reinforcement steel was modeled as perfect elastic-plastic with linear hardening. The model adopted for the prestressing steel was the Menegotto and Pinto (1973) model. The frictional losses of the chordae with the sheath were discarded due to the presence of grease between the two materials. At the end, the quality of the formulation for the simulation of prestressed beams with unbonded tendons is evaluated by comparison with experimental results for short-term loads.