Twist Angle

From the static image, a radial line located on the cross section at a distance x from the fixed end of the shaft will rotate through an angle φ(x). The angle is called angle of twist. It depends on the position x and will vary along the shaft as shown.

β = ρ dφ(x) / dx

The shear strain within the shaft varies linearly along any radial line, from zero at the axis of the shaft to a maximum at its outer boundary.

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This material is based upon work supported by the National Science Foundation under Grant No. 0633602. Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).

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