Abstract
ABSTRACT A theoretical closed-form nine-slab thick-plate model for analyzing the thermal warping effects in concrete pavements is developed in this paper. It provides the thermal stresses and deformations of a system of nine jointed rectangular slabs resting on a Winkler foundation. It can be used to analyze the effects of nonlinear temperature distribution across the slab thickness and the effects of joints on concrete pavement warping stress. Based on symmetry, only one-quarter of the nine-slab system needs to be considered in the analysis. The quarter nine-slab model consists of 4 slabs which are analyzed separately with appropriate boundary conditions. Each of these 4 slabs is represented by a suitable number of elemental slabs. An elemental slab consists of three guided supported edge and an edge with unknown rotation and shear force. A guided supported edge is one having zero shear force, zero twist moment, and zero normal rotation. Each elemental slab is solved using the thick-plate theory and the solutions of elemental slabs are combined to give the solutions of the 4 slabs of the quarter nine-slab model. The correctness of the proposed solutions is verified using finite element solutions.
Published Version
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