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

Click For 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
Messages
309
Reaction score
54
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!
 
Physics news on Phys.org
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.
 
  • Love
  • Informative
Likes berkeman and Amaelle
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!
 
I have a question that I couldn’t fully understand its logic. The professor asked us to calculate the shear resistance and moment about the X and Y axis, using the given cross-section and the values of compressive and tensile stresses. I understand how to get the moment, but I’m confused about how to find the shear resistance from these stresses. Could you explain or clarify the method?

Similar threads

  • · Replies 11 ·
Replies
11
Views
4K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
4K