In this post, I will go over the third example in our mechanics of materials course covering strain transformation. The goal of this example is to calculate the maximum in-plane shear strain and associated orientation for a differential plane strain element.
The engineering problem statement states,
The differential element shown in the figure below experiences a state of plane strain.
Strain in the normal x direction = -400 x 10^-6
Strain in the normal y direction = 200 x 10^-6
Shear strain in the x-y direction = 100 x 10^-6
Find the maximum in-plane shear strain and the associated orientation of the element.