Bending Analysis of Curved Orthotropic Plate and Its Application in Curved Bridges on Slope

摘要

Based on the Kirchhoff's thin plate hypothesis and static equilibrium of element, the governing differential equations of curved orthotropic plate in polar coordinates which is subjected to normal and tangential surface load are derived. According to the governing differential equations and boundary conditions, analytical solutions of displacements and internal forces for a simple supported curved plate on slope (longitudinal gradient is β) under vertical uniform distribution load are obtained. With the computer program based on the formula, the results of the displacements and internal forces for the bridge under given conditions are achieved. The results showed that the bending behavior was not affected by the tangential components when β is small. The differential equations for bending analysis and their solutions represent a new way for describing a simple supported curved bridge on slope.