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Derive Euler–Bernoulli equation from Navier-Cauchy equations

  1. Sep 11, 2015 #1
    Hello

    Is it possible to derive the Euler–Bernoulli equation:
    [tex]\frac{d^2}{dx^2} \left(EI \frac{d^2w}{dx^2} \right) = q [/tex]
    from Navier-Cauchy equations:
    [tex]\left( \lambda + \mu \right)\nabla\left(\nabla \cdot \textbf{u} \right) + \mu \nabla^2\textbf{u} + \textbf{F} = 0[/tex]

    I don't really know where to start because the Navier-Cauchy equations are 3 equations but the Euler–Bernoulli equation is just 1 equation.
     
  2. jcsd
  3. Sep 16, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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