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Deflection of a beam question

  1. Mar 24, 2015 #1
    1. The problem statement, all variables and given/known data
    For the simply supported steel beam [E = 200 GPa; I = 129 × 10^6 mm4], use the double-integration method to determine the deflection vB at B. Assume L = 4 m, P = 60 kN, and w= 40 kN/m.

    Can someone please help, when I insert x=2m into the equation i derived for M, and then insert M into equation 1, I do not get the correct answer (-8.27 mm).

    2. Relevant equations
    E.I.y''=M (eq. 1)
    M=F.d (eq. 2)
    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Mar 24, 2015 #2

    SteamKing

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    Check your equation for the bending moment in the beam. I would split the problem up into calculating the BM due to the central point load plus the BM due to the distributed load.

    In order to avoid confusion, draw the shear and bending moment diagrams for this beam. Because the beam is symmetrically loaded, these can almost be done by inspection.
     
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