Engineering Why are the radial and the axial stress in a rotating thin ring null?

AI Thread Summary
In a rotating thin ring, the radial and axial stresses are null due to the uniform compressional stress from atmospheric pressure. This compressional stress remains consistent throughout the ring's thickness because of its thinness. The discussion emphasizes that these stresses do not vary, leading to a state where they effectively cancel out. Understanding this concept is crucial for analyzing stress in rotating structures. The explanation highlights the importance of considering material thickness in stress analysis.
Amaelle
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Homework Statement
look at the image
Relevant Equations
centrifugal forces
Greetings, while studying the stress in the rotating thing ring
1646663324590.png


and find out the last equation that says
1646663393862.png

I would like to understand why?
Thank you!
 
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The radial and axial stresses acting on the surface of the ring are just the compressional stress from atmospheric pressure. Since the ring is very thin, these persist throughout the thickness of the ring.
 
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Chestermiller said:
The radial and axial stresses acting on the surface of the ring are just the compressional stress from atmospheric pressure. Since the ring is very thin, these persist throughout the thickness of the ring.
thanks a million!
 
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