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How to find beam spring stiffness coefficient?

  1. Sep 13, 2015 #1
    The problem is attached.
    2015-09-13 22.58.08.jpg
  2. jcsd
  3. Sep 13, 2015 #2
    I think you can solve it generally using the relationships:
    Ktotal =F/Δtotal
    Δtotal = ½(Δ1 + Δ2)

    assuming the mass is located at mid-span.
    Last edited: Sep 13, 2015
  4. Sep 13, 2015 #3


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    The statement "If K1 = K2, Ktotal = K1 + K2" implies that there is no flexibility in the beam. The post title suggest that you want the stiffness to reflect the stiffness of the beam as well. Which is it?
  5. Sep 15, 2015 #4
  6. Sep 15, 2015 #5
    I'll disagree on this. The parallel springs formula assumes that both springs displace the same. Here, however, the springs will displace differently to maintain equilibrium. Therefore, a unique formula needs to be derived.
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