Recent content by willmac8

  1. W

    Bending of a long, thin elastic rod or wire (finding shape & height)

    Solved! After further research, I've discovered a more accurate answer to this problem, and I also put together some VB.NET code that will find the form of this curve (well, a bunch of {x, y} points along the curve). I found a new paper that was one of the keys to figuring this out: "An...
  2. W

    Bending of a long, thin elastic rod or wire (finding shape & height)

    I don't believe that formula was in his book...he only posted it to his blog today after I had posed the question to him (the book came out last June). He had figured out the circle relation earlier though (here), so that was likely in his book.
  3. W

    Bending of a long, thin elastic rod or wire (finding shape & height)

    Seriously...I told him it was surely worthy of publishing somewhere, no?
  4. W

    Bending of a long, thin elastic rod or wire (finding shape & height)

    Oh wow: http://thegeometryofbending.blogspot.se/2014/01/these-saw-blade-curves-seen-in-two.html I had e-mailed the guy, Mårten, about my inquiry, and he wrote me back with the above formula, h=\sqrt{(\frac{2L}{5})^2-(\frac{d-\frac{L}{5}}{2})^2} with d being the distance between the two...
  5. W

    Bending of a long, thin elastic rod or wire (finding shape & height)

    I did look into elastica, but again, I haven't been able to find a straightforward way to derive or numerically solve for height yet, let alone plot the actual shape of the curve. I did find a few more relevant resources though: http://myweb.lsbu.ac.uk/~gossga/thesisFinal.pdf...
  6. W

    Bending of a long, thin elastic rod or wire (finding shape & height)

    Hi all, I'm trying to do something that might be impossible, but seems to me should have a solution: Finding the height (or displacement) of a long, thin rod or wire under horizontal compression forces at the ends (pinned, not clamped) causing it to bend into a stable arch-like shape given...