In this post, I will go over the third example in our mechanics of materials course covering stress transformation. The goal of this example is to calculate the maximum in-plane shear stress and associated orientation for a differential plane stress element.
The engineering problem statement states,
The differential element shown in the figure below experiences a state of plane stress.
Stress in the normal x direction = -25 MPa
Stress in the normal y direction = 100 MPa
Shear stress in the x-y direction = 50 MPa
Find the maximum in-plane shear stress at this point, orientation, and associated average normal stress.