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Calculating the critical load for a system

  1. Sep 24, 2013 #1
    Dear all,

    I am stuck with a problem where I must show that the lowest critical load converges to a certain value if the number of elements increases(see figure) I can assume a certain set of numerical values for the beam properties.

    attachment.php?attachmentid=62141&stc=1&d=1380044252.jpg


    For 2 elements(1rotational spring) I have calculated(with the potential energy equation) that the lowest critical load is 2k/L and for 3 elements(2 rotational springs) the minimum critical load is k/L. However I cannot do the calculations for more elements because the degree of freedom increases. How can I tackle this problem??
     

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  2. jcsd
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