Abstract
To demonstrate the attractive features of rapid convergence, high accuracy, and computational efficiency, the differential quadrature method (DQM) is used to perform the in-plane stress analysis for rectangular plates under distributed edge loads. Two ways are used. One is based on the displacements; thus, two second-order partial differential equations are solved simultaneously by the DQM. The other is based on the Airy stress functions; thus, a fourth-order partial differential equation is solved by the modified DQM. The equivalent boundary conditions are derived if the method of Airy stress function is used. Numerical results show that the DQM can yield accurate results with relatively small number of grid points. Although the DQM has no difficulty in applying the boundary conditions if the second-order partial differential equations are solved, however, it is recommended that the shear stress condition at a plate corner should not be used.
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