Stress in expanded and contracted c-rings

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Calculating stress in expanded c-rings can be challenging, as standard references like Roark's do not provide a suitable equation. There is a suggestion to consider the circlip as a curved beam subjected to forces from pliers. This approach may help in deriving the necessary calculations for stress analysis. Further insights or alternative methods for calculating stress in c-rings are sought. Additional resources or equations would be beneficial for accurate stress assessment.
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I am trying to find information on how to calculate the stress when expanding a c-ring. I looked in Roark's and searched on the internet and have not found a suitable equation. Can anyone point me in the right direction? Thanks in advance.
 
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Can you not consider the circlip as a curved beam, loaded by the plier forces?
 
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