Analytical Calculation Model for Predicting Cracking Behavior of Reinforced Concrete Ties
Publication: Journal of Structural Engineering
Volume 146, Issue 2
Abstract
This paper formulates an analytical calculation model for predicting the cracking behavior of reinforced concrete ties to provide more consistent crack width calculation methods for large-scale concrete structures in which large bar diameters and covers are used. The calculation model was derived based on the physical behavior of reinforced concrete ties reported from experiments and finite-element analyses in the literature. The derivations led to a second order differential equation for the slip that accounts for the three-dimensional effects of internal cracking by using a proper bond-slip law. The second order differential equation for the slip was solved completely analytically, resulting in a closed-form solution in the case of lightly loaded members and in a non-closed-form solution in the case of heavily loaded members. Finally, the paper provides a solution strategy to facilitate a practical and applicable method for predicting the complete cracking response. Comparison with experimental and finite-element results in the literature demonstrated the ability of the calculation model to predict crack widths and crack spacing consistently and on the conservative side regardless of the bar diameter and cover.
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Acknowledgments
The work presented in this paper is part of an ongoing Ph.D. study funded by the Norwegian Public Roads Administration as a part of the Coastal Highway Route E39 project.
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Published In
Journal of Structural Engineering
Volume 146 • Issue 2 • February 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Apr 16, 2018
Accepted: Jun 17, 2019
Published online: Dec 12, 2019
Published in print: Feb 1, 2020
Discussion open until: May 12, 2020
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