Max Shear Stress in 3D Stress State?

[xJJx]

Hi, there's no particular question I need help on - just a few things I need clarifying. To determine the max shear stress, I know max shear stress = (max normal stress - min normal stress)/2, but are these equations true for a 3D stress state? (please look at attached image)
Thank you

 

[xJJx]

Okay. That gives some perspective. How about your alumni association - see if there are any local chapters operating in Canada. Maybe you can connect with some people through LinkedIn. I'm just kicking some ideas around.

loool huh

 

[Chestermiller]

Hi, there's no particular question I need help on - just a few things I need clarifying. To determine the max shear stress, I know max shear stress = (max normal stress - min normal stress)/2, but are these equations true for a 3D stress state? (please look at attached image)
Thank you

Do you mean the difference between the maximum and minimum normal stress, or the difference between the maximum and minimum principal stress?

 

[scottdave]

loool huh

Whoops, I thought I was posting on another thread

 

[xJJx]

Whoops, I thought I was posting on another thread

haha, it's okay

 

[xJJx]

Do you mean the difference between the maximum and minimum normal stress, or the difference between the maximum and minimum principal stress?

The equation to determine max shear stress is: (max principle stress - min principle stress)/2

 

[Chestermiller]

OK. Do you know how to determine the shear stress and normal stress on a plane of arbitrary orientation, given the magnitudes of the three principal stresses and assuming that they are aligned with the x, y, and z Cartesian coordinate directions?