Transformation of Stress (Mech. Materials)

AI Thread Summary
The discussion centers on understanding why the stress in the x-direction, σ(x), is zero in a stress transformation problem related to mechanical materials. The user indicates they are familiar with stress transformation but are confused about the condition σ(x) = 0. It is clarified that this is because the x-direction corresponds to the thickness of a pipe, which is in contact with air on both surfaces, leading to negligible stress. The conclusion emphasizes the importance of recognizing boundary conditions in stress analysis.
Litcyb
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Homework Statement



Question is attached

Homework Equations



σ(x) = 0
σ(y)= P/A
t(xy)= Tc/j

The Attempt at a Solution


I know how to do the stress transformation, but my only issue is noticing why σ(x)= 0, I can't see it, can someone help me.
 

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Litcyb said:

Homework Statement



Question is attached

Homework Equations



σ(x) = 0
σ(y)= P/A
t(xy)= Tc/j

The Attempt at a Solution


I know how to do the stress transformation, but my only issue is noticing why σ(x)= 0, I can't see it, can someone help me.
I assume that x is the thickness direction. Is that correct? If so, then the stress in the x direction is zero, because both surfaces of the pipe are in contact with the air (and the wall thickness is small compared to the lateral dimensions of the pipe).

Chet
 
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