Ring girder stress analysis

  1. I could use some guidance as to how I would analyse the stresses in a ring girder similar to the one shown in the attached picture. I have found the stress in the columns that support the ring but I do not know how to find the maximum stress in the ring. The best I have been able to come up with is that the stress = reaction force from column / cross-sectional area of the ring, (σ=F/A) However I am sure that there is more to it than this.

    Another thing that I want to consider is the transverse force from the friction at the slide bearing / rocker. I believe this will cause a moment where the columns are welded to the ring.

    Thank you
     

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  3. SteamKing

    SteamKing 8,279
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    It's not clear what loads are imposed on the ring girder.

    Is the ring girder some sort of support, like for a pipeline perhaps?

    In any event, curved girders require a slightly different analysis technique than that used for straight beams.

    http://courses.washington.edu/me354a/Curved Beams.pdf

    Google 'curved beams' to find similar pages.
     
  4. Thank you for the link.

    The ring girder is holding up a large pipeline filled with water. The most significant loading on the ring girder will be from the weight of the contents of the pipe and a possible moment caused by the friction resisting the columns tendency to slide laterally. (as the pipeline expands and contracts due to temp. change and Poisson's effect)

    I found these equations in the link that was provided. They seem to be what I'm looking for however I cannot find what should be used for the bending moment 'M' in the equations.

    σ=(Mc_i)/(Aer_i) and σ=(Mc_o)/(Aer_o)
     
  5. SteamKing

    SteamKing 8,279
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    I think M is a pure bending moment and is as shown on p.2 of the linked document. Most of these curved beam problems use a load suspended from a hook as an example, where the pull of the load is trying to open up the eye of the hook.

    This link:

    http://nptel.ac.in/courses/105106049/lecnotes/mainch10.html

    shows a little more development on applying a pure moment and an end load to a curved beam. I haven't found a similar set of notes about a distributed loading, however.
     
  6. SteamKing

    SteamKing 8,279
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