Three-Dimensional Stability of Prestressed Arches

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Abstract
An analytical study of the nonlinear three-dimensional finite deformation, buckling, and postbuckling behavior of prestressed arches is conducted by formulating the problem as a two-point nonlinear boundary-value problem. The prestressed arches studied are different from traditional arches in that they are made by first buckling shallow straight members and then attaching them to their supports. An algorithm based on a shooting method is successfully administered to the system of governing nonlinear differential equations of the prestressed arches. The three-dimensional stability analysis of the prestressed arches led to a boundary-value problem with four missing initial conditions, so that the numerical work was found to be a formidable task.

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