For the plane stress case in Exercise 3.5, demonstrate the invariant nature of the principal stresses and maximum shear stresses by showing that:

Data from exercise 3.5

A two-dimensional state of plane stress in the x, y-plane is defined by σ_z = τ _yz = τ _zx = 0. Using general principal value theory, show that for this case the in-plane principal stresses and maximum shear stress are given by:

Transcribed Image Text:

- 12 and Tmax 01,2 = 1/4 41 - 17-12