9-Video for Mohr’s circle of inertia case-3.

Last Updated on September 2, 2026 by Maged kamel

Video for Mohr’s circle of inertia case-3.

The video illustrates the data for case 3 of Mohr’s circle of inertia, where Ix<Iy and Ixy is negative. How can we draw Mohr’s circle of inertia and get the values for Iu max and Iv minimum, as well as the direction of the principal axes?

Timestamps

  • 0:00 -What are the cases for which Ix is bigger than Iy and Ixy is negative?
  • 1:53 -What is the value of cos 2θP to get a maximum value of Ix?
  • 3:38 – What is the value of cos 2θP to get a minimum value of Ix?
  • 4:33 – What is the value of cos 2θP to get a maximum value of Iy?
  • 5:19 – What is the value of cos 2θP to get a minimum value of Iy?
  • 5:50 -The difference between the normal view and Mohr circle direction. 7:33 – How to draw Mohr’s circle of inertia for case 3?
  • 8:56 – How to find the center point and the value of R? 9:53 – How to find the mirror points?
  • 10:49 – How to get the normal view directions from Mohr’s circle of inertia?
  • 11:27 – Mohr’s circle in the case where x is a horizontal axis.

Download the PDF file for the video by clicking the following link.

For additional details about the data included. Refer to posts 10-Easy Approach to Mohr’s circle of inertia-third case and 10a-Mohr’s circle of inertia-third case-part 2.

This links to a valuable resource for moment of inertia: a calculator. This tool can streamline the calculation of moments of inertia for various shapes, making it easier for engineers and students to perform accurate assessments on their projects.