Abstract

One of the major concerns in designing of prestressed beams in ultra-high performance fiber- reinforced concrete (UHPFRC) is improvement of their ductility fracture due to the nature of the materials used in their manufacture. This can induce plastic behaviours which it is necessary to take into account by designing of such structures, especially when they are of large spans. In the present work, it is proposed an analytical model in large deformation of a rigid plastic prestressed UHPFRC beam embedded at one end and having at other end rolled support. She is approached by a local uniform load and external moments to supports. The proposed non-linear model can find exact analytical solutions for the determination of the local arrows and the associated charge by the technique of Lagrange multiplier which allows finding the stationary points of differentiable function of one or several variables under constraints. The results of this work can be useful in designing and calculation of long span prestressed structures with plastic rigid behavior.

Highlights

  • Ultra-High Performance Fiber Reinforced Concrete (UHPFRC) is a new material which the mechanical characteristics are far superior to those of traditional concrete

  • The first application of the UHPFRC to the prestressed beams was made at the end of the 1990s on elements of conventional form with sizes considerably smaller than reinforced concrete elements, in order to replace the corroded steel beams in the aggressive environment of Cattenom and Civaux nuclear cooling towers in France (Resplendino, 2004; Acker and Behloul, 2004)

  • Due to the nature of the materials involved in their manufacture the UHPFRC can induce plastic behaviours which is obvious for taking into account for long span prestressed beam designing

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Summary

Introduction

Ultra-High Performance Fiber Reinforced Concrete (UHPFRC) is a new material which the mechanical characteristics are far superior to those of traditional concrete. Number of studies have been carried out to characterize the behaviour of this material under preload (AFGC, 2002; Curbach et al, 2008; Pansuk et al, 2008) for prestressed beam sizing. Due to the nature of the materials involved in their manufacture the UHPFRC can induce plastic behaviours which is obvious for taking into account for long span prestressed beam designing. Data concerning the problems in large deformation of the prestressed high performance concretes are rare in the technical literature. One of the main concerns in the designing of UHPFRC beams prestressed by fiber reinforcements is the lack of ductility due to their linear elastic behaviour up to failure. Ductility is required to support large inelastic deformations before fracture

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