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Castigliano's Second Theorem

  1. Mar 12, 2014 #1
    1. The problem statement, all variables and given/known data
    The problem is attached


    2. Relevant equations
    Any help on setting up the problem would be appreciated


    3. The attempt at a solution
    U = 1/2*[(M^2)L]/[GIp]
    This equation gives the energy
    Using Castigliano's 2nd Theorem I need to find the partial derivative of U with respect to P
    Not sure how to go about this with the beam given
     

    Attached Files:

  2. jcsd
  3. Mar 12, 2014 #2
    Thinking of the plane in which the bent beam lies as having x and y axes, can you formulate expressions for M as Mx and My in the sections parallel to Ox and Oy? How would you interpret the expression GIp for the 2 parts of the bent?
     
  4. Mar 12, 2014 #3
    Not sure what you mean by Ox and Oy
    G is the same for both parts of the beam but not sure for Ip


     
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