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Solid mechanics, castiglianos second theorem

  1. Nov 25, 2009 #1
    http://img237.imageshack.us/i/lahaka.jpg/
    http://img237.imageshack.us/i/lahaka.jpg/
    So... I need to determine the deflection of the beam under applied force P due to flexural deformation using castiglianos second theorem.

    Simply, delta = dU / dP

    How do I determine the strain energy U for the given system?
     
    Last edited by a moderator: Apr 24, 2017
  2. jcsd
  3. Nov 25, 2009 #2
    first calculate M and V ...from there calculate U using formulae...
    as in one using moment is...
    U=integral(0 to L) (M^2/2*E*L) dl....
    similarly go wid V..
    den differentiate...to get final displacement...
     
  4. Dec 2, 2009 #3
    Thank you for the reply.

    Now i'm stuck on a different problem. I want to determine the support reactions for given structure using the same theorem (see attachment). Axial deformations are considered negligible. This is what i got so far, but now I'm a bit clueless on how to continue. Be gentle, I'm lacking some necessary literature =)
     

    Attached Files:

  5. Dec 2, 2009 #4
    well i can solve it...
    but there is some kind of policy that for new problm u have to make a new thread...
    :smile:
     
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