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Mohr's circle formula

  1. Jun 24, 2016 #1

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  2. jcsd
  3. Jun 25, 2016 #2

    haruspex

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    I don't think the above equation is supposed to follow from a simple manipulation of one side to produce the other. Rather, this equation is the result of some sequence of steps. Note that you have misquoted it: on the left hand side it should be σxy, not minus.
    See if https://en.m.wikipedia.org/wiki/Mohr's_circle helps.
     
  4. Jun 25, 2016 #3
    can you show me the proof ? the link doesn't provide the proof
     
  5. Jun 25, 2016 #4

    haruspex

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    It has what looks to me as a claimed proof. At "Equation of the Mohr Circle" it obtains expressions for σn and τn as functions of θ. Then it eliminates θ between these two equations to obtain a relationship between σn and τn. This produces the equation you queried.
     
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