Last Updated on September 8, 2026 by Maged kamel
Video for the parallel axes theorem for the Moment of Inertia.
An introduction to the parallel axes theorem. The video explains how to find the Moment of Inertia about an external Y-axis by adding the Moment of Inertia about the CG to the Product of the Area and the square of the distance from the CG to that external axis.
Similarly, the Product of the Area about two external axes equals the Product of the Area at the CG plus the Area by the x distance times the y distance from the CG to these axes. The polar Moment of Inertia at the intersection of any two axes is equal to the polar Moment of Area at the same point for any other two orthogonal axes passing through the same point.
Timestamps
- 0:00 – The proof of the parallel axes theorem for Iy.
- 3:23- Part a, the proof of the parallel axes theorem for Ixy.
- 5:11- Part b, the proof of the parallel axes theorem for Ixy.
- 6:30- The polar Moment of Inertia, parallel axes theorem.
- 8:22- The radius of gyration Kx and Ky.
The video timestamps are shown.
You can download the video content from the following link.
The first video link: 1-video for introducing the Moment of Inertia.
The related post is Post 2-Parallel axes theorem for Iy, polar Moment of Inertia.
A newly added video: Video 3 for Ix for a rectangular section.