The stress field for the torsion of a rod of circular cross-section is given by: where

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The stress field for the torsion of a rod of circular cross-section is given by:

0x = 0 = 0 = txy = 0, txz = -,  =  , Tyz =

where α is a constant and the z-axis coincides with the axis of the rod. Evaluate the strain energy density for this case, and determine the total strain energy in a rod with section radius R and length L.

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