Radius of Gyration

| Definition | Transfer of Axis | Area Moment of Inertia |
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| The Radius of Gyration kx of an Area (A) about an axis (x) is defined as: | |||
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equ. (1) | ||
kx
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equ. (2) | ||
| Where Ix is the Moment of Inertia about the axis (x), and A is the area. If no axis is specified the centroidal axis is assumed. | |||
| Using the Perpendicular Axis Theorem and equ. (1) from above it can be shown that: | |||
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equ. (3) | ||
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The Radius of Gyration kxx of a Mass (m) about an axis (x) is defined as: |
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|
equ. (4) | ||
k
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equ. (5) | ||
| Where I is the Moment of Inertia about the axis (x), and m is the mass. | |||
| If no axis is specified the centroidal axis is assumed. | |||
| Radius of Gyration Definition and Concept | |||
| Definition | Transfer of Axis | Area Moment of Inertia |














