Help with assumption (thick walled theory)

[ladil123]

Hello!

I have a solid cylindrical shaft with a mounted ring on it.
My ring is subjected to a point load, I have with this load and the geometry of the ring used a special beam theory called Winkler Bedding. By using that theory I get the deflection of my "beam". This deflection is the deflection of the ring.

Now for my question:
Can I use this deflection as a radial mismatch between the shaft and the ring so that I can derive the hoop stress ?
this gives me pretty good results, with a applied force of 200 kN for a certain geometry I should get around 100 MPa in hoop stress. This I know from testing and experience.
Now with my assumption that the deflection as a radial mismatch I get 100 MPa from my derived equations

Does anybody know if my assumption is correct or is it completely wrong?

 

[Achy47]

Hello there!

Your assumption may be partially correct, but there are a few factors that need to be considered before using the deflection as a radial mismatch to derive the hoop stress. First, the Winkler Bedding theory assumes that the load is evenly distributed along the length of the beam, which may not be the case for your mounted ring. Additionally, the Winkler Bedding theory does not take into account the effects of shear stress, which can significantly affect the hoop stress in your ring.

Furthermore, the geometry and material properties of your shaft and ring also play a significant role in determining the hoop stress. It is important to consider these factors and possibly conduct further testing or analysis to accurately determine the hoop stress in your system.

In summary, while your assumption may provide a rough estimate of the hoop stress, it is not a reliable method for accurate calculations. It is always best to consider all factors and conduct thorough analysis to ensure the accuracy of your results.