engineering core courses

Solid Mechanics I
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Solid Mechanics I
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C7: Stress Transformation
7.1 Equations of Plane-Stress Transformation
- Theory - Example
7.2 Principal σ and τmax in-plane
- Theory - Example
7.3 Mohr’s Circle
- Theory - Example - Question 1 - Question 2
7.4 3D Mohr's Circle and τabs-max
- Theory - Example - Question 1 - Question 2

C7.3 Mohr’s Circle

We now finally come to the infamous Mohr’s circle! It’s something you’ll definitely be using for future Solid Mechanics/Design courses, so pay attention!

Mohr’s circle is basically a tool that maps all possible stress transformations in a circle. Once constructed, you can easily use it to obtain σ1, σ2, τmax in-plane, θp, θs or any stress from any angle of transformation.

Here’s how you construct it:


Mohr's circle construction steps

C7.3 Mohr’s Circle

We now finally come to the infamous Mohr’s circle! It’s something you’ll definitely be using for future Solid Mechanics/Design courses, so pay attention!

Mohr’s circle is basically a tool that maps all possible stress transformations in a circle. Once constructed, you can easily use it to obtain σ1, σ2, τmax in-plane, θp, θs or any stress from any angle of transformation.

Here’s how you construct it:


Mohr's circle construction steps
Mohr's circle construction steps

You can also obtain θp, θs or stresses based on other θ (e.g. θ = 30o) from the Mohr’s circle. Let’s look at an example on how we can do this.

Mohr's circle construction steps

You can also obtain θp, θs or stresses based on other θ (e.g. θ = 30o) from the Mohr’s circle. Let’s look at an example on how we can do this.

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