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Deriving the 3 point bending Deflection equation using FEM

  1. Mar 25, 2012 #1
    The question is:
    Determine the deflection and rotation for a simple supported beam using FEM . The bending rigidity for the beam is EI.

    Im struggling to derive the 3 point bending deflection equation of -PL^3/48EI Using FEM.

    I can get the built in beam deflection equation of -PL^3/192EI using the following method:
    20120325_141918.jpg
    jpg image hosting
    But when i do it for a simply supported beam i am struggling to figure out which way to go. So far i have gotten this far.
    20120325_141822.jpg
    png image hosting


    I think my problem is i do not know how to deal with the slope acting at the two supports, Any help would be appreciated.
     
    Last edited: Mar 25, 2012
  2. jcsd
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