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Fishing rod mechanics and curvature calculations

  1. Nov 17, 2009 #1
    i am trying to make a piece of stainless steel of varying thickness bend in such a way that it creates a cam profile in much the same way a fishing rod works.

    for example if the thick end has a 5mm by 10mm cross section and the thin end is 1mm by 10mm crosssection and the change in thickness is uniform down the length then a certain profile will be induced when the beam is bent if the thick end is fixed.

    if the transition from 5mm to 1 mm is not uniform i.e. the first 100mm of the beam is 5mm and the last 100mm is 1mm then a different profile would be induced when bent about the thick end.

    i need a method of calculating what rate of change in thickness i need to give a certain profile?

    can anyone help?

    thanks
     
  2. jcsd
  3. Nov 18, 2009 #2
    Finite Element Analysis!!

    Hmm deriving the variation of cross section from the deformed geometry is sorta reverse of what the usual trend is. But it can surely be done with a sound understanding of the subject.
     
  4. Nov 18, 2009 #3
    are you asking for more detail or saying you dont have the knowledge in this area?!
     
  5. Nov 18, 2009 #4

    minger

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    Science Advisor

    From what I understand, the deflection in a beam is a 4th order ordinary differential equation. I would assume that if you assume a function for the displacement, then you can integrate (or maybe derivate) to obtain a function for the moment of inertia.
     
  6. Nov 18, 2009 #5
    I am telling you the easiest way out. Just crunch in numbers in a software & wollaa.(hit & trial method)

    Exactly. I just thought that would be a bit too much maths.

    there you go...
    http://www.efunda.com/formulae/solid_mechanics/beams/theory.cfm
     
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