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

In summary, the radial stress in a rotating thin ring is null due to the balance of the centrifugal and radial forces in the circular shape of the ring. The axial stress is also null due to the perpendicular direction of these forces. However, external forces or a non-perfectly circular shape can cause non-null radial and axial stress. The speed of rotation does not directly affect the stress, but it can cause changes in the ring's shape and lead to non-uniform stress. The radial and axial stress are not always equal in magnitude due to these factors.
  • #1
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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  • #2
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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  • #3
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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