Slide
4
For
a linear elastic material, using Hookes law, we can write
the shear stress as tau is equal to G times gamma, where, G is the
Shear Modulus. The shear strain on a small area of material situated
at a distance rho from the center, was found in slide 3 to be: gamma
is equal to rho phi over L. Thus, using Hooke's law, tau is equal
to G rho phi over L. The torque, T, is calculated by integrating
over the cross section the product of shear stress, tau , and the
distance, rho, from the center of the shaft .
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