Torsion of Prismatical Bars
A very typical problem of classical elasticity consists in the consideration of a prismatical (cylindrical) bar free of stresses on its lateral surface and loaded on its ends by suitably distributed forces which can be reduced to a torque twisting the cylinder about the axis. The Saint Venant theory of torsion is based on the assumption that the cylindrical “slices” are subject to simple rotation and do not deform in the plane perpendicular to the axis and that the axial displacement of the bar is independent of the coordinate x3 = z, u3 = u3 (x1, x2) and represents the so-called “warping” of the cross-section.
KeywordsLateral Surface Axial Displacement Torsional Rigidity Classical Elasticity Warping Function
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