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Local compliance with Castigliano's theorem

  1. Feb 10, 2016 #1
    According to Castigliano's theorem, the local compliance of an elastic structure, e.g. a cantilever, can be determined by integrating the products of stress intensity factor weight functions over the length of said structure. However, if I do that for a double cantilever beam using simple beam theory it yields an incorrect answer but I get the right one if I change the limits of the integration. Anyone have an explanation to that?

    I've attached a hand written note demonstrating the details.
     

    Attached Files:

  2. jcsd
  3. Feb 10, 2016 #2
    I just wrote a better looking mathcad sheet!
     

    Attached Files:

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