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Need help finding an equivalent spring constant

  1. Apr 14, 2013 #1
    1. The problem statement, all variables and given/known data

    I have a attached a photo of the problem I'm trying to solve.

    I defined x1 as displacement of the bar at the k1 spring, and did so similarly for x2 & k2.

    It is known k1=k2 as the bar lies flat in equilibrium before the force is applied.+

    By taking the moment about F, I found x2=x1*L1/L2

    So far i have F=Ke*X=k1*x1+k2*x1*(L1/L2)
    where Ke is the equivalent spring constant.
    I'm stuck finding a relation between X and x1.

    I'd like to thank any who can help in advance
     

    Attached Files:

    Last edited: Apr 14, 2013
  2. jcsd
  3. Apr 14, 2013 #2
    k1 is not necessarily equal to k2 before the force is applied (unless the bar has weight, which, in this problem it doesn't). Your displacement X at the load application location is related to x1 and x2 by a simple geometry problem.
     
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