Torsion of Noncircular Cylinders
Consider a cylindrical body of length L, the ends of which are subject to distributions of traction that are statically equivalent to equal and opposite torques ±T = ±Tê3. The lateral surface of the cylinder is traction-free. It is assumed that there is an axis that passes through the center of twist of each cross section of the cylinder (i.e., an axis on which the displacement perpendicular to the axis is zero) and this is defined to be the X3-axis (see Figure 8.1). Let δ be the cross section of the cylinder and let ∂δ be its boundary. The cross section δ is, in general, noncircular.
KeywordsUnit Length Circular Cylinder Elliptical Cylinder Solid Cylinder Torsional Rigidity
Unable to display preview. Download preview PDF.