Chapter 7: Stress Transformation

Chapter overview

In Chapter 2 to Chapter 5, we looked at the various types of stresses: axial, torsion, bending and transverse shear. In Chapter 6, we looked at all these stresses acting to give a combined state-of-stress.

Here in Chapter 7, we will be looking at “transforming” this state-of-stress. Don’t worry, we don’t need Optimus Prime to do it, but just some equations and tools:

• C7.1 Equations of Plane-Stress Transformation - general equations to help transform the state-of-stress
• C7.2 Principal σ and τ_{max in-plane} - transforming to obtain the maximum stress
• C7.3 Mohr’s Circle - the easy and smart way to do stress transformation
• C7.4 3D Mohr's Circle and τ_abs-max - including the 3rd dimension in our Mohr’s circle