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Deflection by Moment Area Method

  1. Oct 30, 2014 #1
    1. The problem statement, all variables and given/known data
    The problem is a cantilive beam of length L with a triangular uniform load or W. The solution is to find the slope and deflection at the end by moment area method. My solution is not matching the text book solution of wl^3/8EI and 11wL^4/120EI

    2. Relevant equations
    First Moment Theorem - Slope equal to the area under the M/EI diagram
    Second Moment Therorem - Deflection is equal to the moment of the moment area about the point you want the deflection.



    3. The attempt at a solution
    see uploaded file
     

    Attached Files:

  2. jcsd
  3. Nov 1, 2014 #2

    SteamKing

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    I think the reason your moment-area calculations aren't working is that your bending moment expression is incorrect.

    I would draw the shear force diagram and develop the bending moment diagram from it.
     
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