Abstract

Both the exact closed-form solution and a numerical solution by the differential quadrature method (D.Q.M.) are obtained to predict the out-of-plane static behavior of a curved beam subjected to torque, based on the curved-beam version of the classical (Bernoulli-Euler) and shear deformable (Bresse-Timoshenko) beam theories. Deflections, twist angles, angles of rotation, bending moments and twisting moments are calculated for the case of a circular are of circular cross section with clamped and simply supported boundary conditions, and the results obtained by both methods (exact and D.Q.M.) are compared. It is found that the D.Q.M. gives good accuracy for only a limited number of grid points.

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