Abstract
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.
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© 2002 Springer Science+Business Media New York
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Slaughter, W.S. (2002). Torsion of Noncircular Cylinders. In: The Linearized Theory of Elasticity. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0093-2_8
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DOI: https://doi.org/10.1007/978-1-4612-0093-2_8
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6608-2
Online ISBN: 978-1-4612-0093-2
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