What is the radius of gyration of thin ring by its diameter?
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Radius of gyration or gyradius of a body about an axis of rotation is defined as the radial distance of a point ,from the axis of rotation at which, if whole mass of the body is assumed to be concentrated, its moment of inertia about the given axis would be the same as with its actual distribution of mass.
The radius of gyration is used to compare how various structural shapes will behave under compression along an axis. It is used to predict buckling in a compression beam or member.
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