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.

May 3, 2023 · This equation says that you find the moment of inertia of a shape about any axis by adding A d 2 to the parallel centroidal moment of inertia. You can consider the A d 2 term as …

This equation says that you find the moment of inertia of a shape about any axis by adding A d 2 to the parallel centroidal moment of inertia. You can consider the A d 2 term as ‘correction …

Jul 28, 2023 · The theorem states, “ The moment of inertia of a body about an arbitrary axis is equal to the sum of its moment of inertia about a parallel axis passing through its 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 …

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 …

To begin with, the parallel axis theorem is equal to the inertia about the center of mass (I cm) plus the distance between the axes of rotation squared times the mass.

In general, the moment of inertia of an arbitrary shape about the x -axis can be calculated as follows: For the shape shown in the figure below, the x’ -axis parallel to the x -axis passes …

In many cases, the moment of inertia about an axis, particularly an axis passing through the centroid of a common shape, is known (or relatively easier to calculate) and the moment of …

Jan 15, 2024 · Using the parallel axis theorem, I = IG + Ad2. Note: The moment of inertia of a simple rectangle about its centroidal axis (I G) is given by bd 3 /12.