Max Shear Stress in 3D Stress State?

AI Thread Summary
To determine the maximum shear stress in a 3D stress state, the formula used is (max principal stress - min principal stress)/2. There is clarification needed on whether this refers to normal stress or principal stress. The discussion also touches on calculating shear and normal stress on an arbitrary plane using the three principal stresses aligned with Cartesian coordinates. Participants express some confusion about the thread's focus, indicating a mix-up in posting. The conversation emphasizes the importance of understanding stress states in three dimensions for accurate calculations.
xJJx
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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
 

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scottdave said:
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
 
xJJx said:
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?
 
xJJx said:
loool huh
Whoops, I thought I was posting on another thread
 
scottdave said:
Whoops, I thought I was posting on another thread
haha, it's okay
 
Chestermiller said:
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
 
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?
 
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