Slide
14
We
have reviewed a number of topics in the theory of torsion of circular
shafts. Torsion refers to loading of a shaft by a moment parallel
to the shaft. This moment is called a torque. The strain in torsion
is found by geometric considerations. Knowing strain we found stress
using Hooke's law. Integrating the stress over the cross sectional
area of the shaft, we derived the relation between shear strain,
twist and torque. This relation involves the polar moment of inertia.
Thinking of the shaft as a torsional spring we found the spring
constant in terms of the geometry and shear modulus of the shaft.
Stresses in solid and hollow shafts are discussed, and brittle and
ductile failure explored.
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