Kj. Kang et al., STATIC ANALYSIS OF A CURVED SHAFT SUBJECTED TO END TORQUES, International journal of solids and structures, 33(11), 1996, pp. 1587-1596
Both the exact closed-form solution and a numerical solution by the di
fferential quadrature method (DQM) are obtained to predict the out-of-
plane static behavior of a curved shaft subjected to end torques, base
d on the curved-beam versions of the classical (Bernoulli-Euler) and.
shear deformable (Bresse Timoshenko) beam theories. Deflections, twist
angles, bending moments, and twisting moments are calculated for the
cases of a circular are of circular cross section with clamped and sim
ply supported boundary conditions, and results obtained by the two met
hods compared. The DQM gives good accuracy even when only a limited nu
mber of grid points is used.