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Direct Integration Method for Deflection

  1. Sep 25, 2010 #1
    1. The problem statement, all variables and given/known data
    I'm given a 4m long beam that is fixed to a wall at the left end and is free on the other end. There is an external 50KN*m clockwise moment acting on the free end. I need to know the slope and deflection of the free end.


    2. Relevant equations
    d2y/dx2=M/EI



    3. The attempt at a solution
    I know that the reaction moment at the fixed support is 50KN*m. There are no x or y direction components, so all I have to work with are the moments. When I pass a section through the beam, how do I get my equation together from there?

    The answers are supposed to be .0174rad and 34.8 mm
     
  2. jcsd
  3. Sep 27, 2010 #2
    Presumably, you know E and I, or the product EI.
    Let x=0 at the fixed support, and x=4 at the free end. Can you write down the function for M at x?
     
  4. Sep 28, 2010 #3
    I figured it out, thanks
     
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