Mohr Circle (Continued) — Lesson 2

This lesson covers the concept of Mohr's Circle in 3D. It explains the derivation of relations and the process of eliminating variables from these relations. The lesson further elaborates on the simplification of these relations and how they form the basis for drawing the Mohr Circle. It also discusses the concept of principle stresses and how they are used to plot normal and shear stresses. The lesson concludes with an illustrative example of determining the stress on a plane with given direction cosines. The example demonstrates the application of the derived relations and the use of Mohr's Circle in solving real-world problems.

Video Highlights

00:44 - Introduction to Mohr circle in 3D and derivation of relations.
07:23 - Explanation of the basis for drawing the Mohr circle.
25:48 - Explanation of how to draw the Mohr circle in 3 dimensions.
26:15 - Explanation of how to find out the stresses on a plane.
23:41 - How to draw the Mohr circle space in 3 dimensions.
52:09 - How to find out the normal stress acting on a plane.

Key Takeaways

- Mohr's Circle in 3D is a graphical representation of the state of stress at a point.
- The derivation of relations and elimination of variables from these relations is a crucial step in understanding Mohr's Circle.
- Principle stresses are used to plot normal and shear stresses.
- The simplification of relations forms the basis for drawing the Mohr Circle.