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Help with assumption (thick walled theory)

  1. Feb 27, 2009 #1

    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 missmatch I get 100 MPa from my derived equations

    Does anybody know if my assumption is correct or is it completly wrong?
  2. jcsd
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