This equation computes the Radius of Gyration (RG) of a solid cylinder about the `x_c` axis, the axis parallel to the x-axis and through the center of the solid cylinder.

The Radius of Gyration about a given axis  can be expressed in terms of the moment of inertia as:

`r^2 = I_"axis"/m`

This equation is computing specifically the radius of gyration about the axis through the center parallel to the x-axis defined in the picture.  Because of symmetry of the cylinder, the radius of gyration about the `z_c`-axis is the same for the radius of gyration about the point c on the aaxis (`r_"xc"`). ¹

Inputs

Where the input to the calculation of the Radius of Gyration (RG) is:

• r = the radius of the solid cylinder
• h - the height of the solid cylinder

author: Carol

See Also

Cylinder (solid) - Radius of Gyration about x-axis

Cylinder (solid) - Radius of Gyration about y-axis

Cylinder - Mass Moment of Inertia About z-axis

1. ^ Fundamentals of Engineering. 8th edition, 2nd Revision.  National Council of Examiners for Engineering and Surveying (NCEES) - 2001. ISBN 978-1-932613-59-9.  pg 61