May 3, 2023 · The parallel axis theorem relates the moment of inertia of a shape about an arbitrary axis to its moment of inertia about a parallel centroidal axis.

The parallel axis theorem provides a convenient relationship between the moment of inertia I S around an arbitrary point S and the moment of inertia I R about the center of mass R.

Jul 23, 2025 · In this article, we will understand the meaning of the parallel axis theorem, its history, proof, limitations and applications of parallel axis theorem.

Jul 28, 2023 · The parallel axis theorem gives a relationship between the moment of inertia of a rigid body about an arbitrary axis and the moment of inertia about an axis passing through the center of …

The parallel axis theorem is the method to find the moment of inertia of the object about any axis parallel to the axis passing through the centroid. This theorem is applicable for the mass moment of …

Oct 16, 2024 · But, if you observe closely, these control surfaces are hinged about an axis that does not pass through their centre of mass. Here is exactly where you need the Parallel Axis Theorem as an …

In summary, the parallel axis theorem is essential for calculating moments of inertia when the axis of rotation is not through the center of mass. It allows for the determination of rotational dynamics in …

Dec 2, 2025 · The Parallel Axis Theorem is used to interpret the moment of inertia (I) for any axis parallel to the axis through the center line used to calculate the moment of inertia by using the …

There are two great uses for the parallel axis theorem: 1. Finding the inertia of a complex object with multiple parts. 2. Rotating an object about an axis other than through the center of mass (y’)

Thumbing through an old edition of a Mechanics of Materials textbook, I found the below great demonstration of how the Parallel Axis Theorem can be used to come up with section properties for …