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Parallel Axis Theorem

Area Moment of Inertia | Radius of Gyration
For Area Moments of Inertia
Parallel Axis
: the cross-sectional area.
: the perpendicuar distance between the centroidal axis and the parallel axis.
For Area Radius of Gyration
Parallel Axis
: the Radius of Gyration about an axis Parallel to the Centroidal axis.
: the Radius of Gyration about the Centroidal axis.
: the perpendicuar distance between the centroidal axis and the parallel axis.
For Mass Moments of Inertia
Parallel Axis
: the mass of the body.
: the perpendicuar distance between the centroidal axis and the parallel axis.
For Mass Radius of Gyration
Parallel Axis
: the Radius of Gyration about an axis Parallel to the Centroidal axis.
: the Radius of Gyration about the Centroidal axis.
: the perpendicuar distance between the centroidal axis and the parallel axis.
 
Area Moment of Inertia | Radius of Gyration