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Comparison and optimization of different methods of evaluation of displacements in cracked reinforced concrete beams

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Abstract

The evaluation of deflections of reinforced concrete beams is strongly affected by the cracking of concrete; in order to develop a correct calculation of deflections, it is necessary to define an adequate tension stiffening model and exact, prediction of the values of cracking moment and of Young's modulus of elasticity. In this paper, the different models of tension stiffening and the semi-empirical correlations for evaluating the modulus of rupture and the Young's modulus are synthetically described and compared with each other. The analytical deflections computed by means of different models are compared with the experimental results obtained by different authors, and an optimization analysis is developed in order to improve the CEB and ACI models.

Résumé

La fissuration du béton gêne considérablement l'évaluation des flèches de poutres de béton armé; pour effectuer un calcul satisfaisant, il convient de définir un modèle adapté de rigidité en traction, et de prévoir avec exactitude les valeurs du moment de fléchssisement et du module d'élasticité. Dans cet article, on expose de façon synthétique les différents modèles de rigidité en traction et les corrélations semi-empiriques pour évaluer le module de rupture et le module d'élasticité, et on les compare entre eux. On met en rapport les flèches calculées à partir de divers modèles analytiques et les résultats expérimentaux obtenus par différents auteurs; une méthode d'optimisation a été mise au point dans le but d'améliorer les modèles du CEB et de l'ACI.

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Cosenza, E., Greco, C. Comparison and optimization of different methods of evaluation of displacements in cracked reinforced concrete beams. Materials and Structures 23, 196–203 (1990). https://doi.org/10.1007/BF02473018

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