Recent content by willmac8

  1. W

    Finding shape and height of an elastic rod under axial compression with pinned ends

    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

    Finding shape and height of an elastic rod under axial compression with pinned ends

    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

    Finding shape and height of an elastic rod under axial compression with pinned ends

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

    Finding shape and height of an elastic rod under axial compression with pinned ends

    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

    Finding shape and height of an elastic rod under axial compression with pinned ends

    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

    Finding shape and height of an elastic rod under axial compression with pinned ends

    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...