Closed-Form Solution for Curling Responses in Rigid Pavements
Publication: Journal of Engineering Mechanics
Volume 145, Issue 2
Abstract
Closed-form expressions for calculating stresses and displacements of partially restrained concrete pavement caused by a linear temperature gradient are presented. Translational and rotational linear elastic springs along the slab edges defined the partial restraint. In addition to plate theory behavior, the model assumes linear elastic concrete and an infinitely long slab resting on a Winkler foundation. The solutions of curling stresses and displacements were validated using the finite-element (FE) method and quantified the effect of semirigid connections, slab and foundation material properties, and slab thickness and width on them. Rotational and translational restraints, which can be related to joint condition in concrete pavement, had significant influence on the magnitude and location of maximum curling stresses and deflections. In addition, Westergaard analysis, a particular case of the proposed solution when there is no restriction along the slab’s edges, resulted into the largest deflections at the center of the slab and the lowest maximum curling stresses. Adjustment factors that convert the theoretical findings from an infinitely long slab to a square slab are proposed.
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Acknowledgments
The authors would like to acknowledge the financial support provided by the Federal Aviation Administration, especially to Dr. Navneet Garg. This project was conducted in cooperation with the Illinois Center for Transportation. The contents of this paper reflect the view of the authors, who are responsible for the facts and the accuracy of the data presented herein. The contents do not necessarily reflect the official views or policies of the Illinois Center for Transportation or the Federal Aviation Administration. This paper does not constitute a standard, specification, or regulation.
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©2018 American Society of Civil Engineers.
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Received: Feb 23, 2018
Accepted: Aug 10, 2018
Published online: Nov 29, 2018
Published in print: Feb 1, 2019
Discussion open until: Apr 29, 2019
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