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19-Tanzanite
November 6, 2013
Question

One catenary problem - continued (again!)

  • November 6, 2013
  • 3 replies
  • 25281 views

For some reason when I try to post a reply to Fred here: http://communities.ptc.com/message/225402#225402 it seems to wipe out all the other posts in that thread. Hence I’ve started this continuation.

Fred said:

Fred.PNG

I agree. It would only be correct if Fx were the tension in the cable, but then some other equations would be wrong (though your equation above still has mismatched units Fred!).

Alan

3 replies

19-Tanzanite
November 6, 2013

I should have added that the "this equation" to which Fred is referring is:

units.PNG

Alan

24-Ruby IV
November 6, 2013

Sorry

g*G

And second!

Where ara the sheet and the Animation

19-Tanzanite
November 6, 2013

Valery Ochkov wrote:

Where ara the sheet and the Animation

See attached.

Alan

23-Emerald I
November 6, 2013

Not tension, only the horizontal component:

Sorry, my image didn't come thru well. alpha is the angle of the tangent to the chain at the weight,

tangent of aplha is equal to the slope (dy/dx) AND the ratio of vertical tension to horizontal tension. If the weight G is shared equally (only at the midpoint) then the math follows.equations.JPG

23-Emerald I
November 6, 2013

I'll leave the animation to others; but I think this is the full solution.

24-Ruby IV
November 7, 2013

Fred Kohlhepp wrote:

I'll leave the animation to others; but I think this is the full solution.

Thanks, Fred!

But see

CatFred.png

23-Emerald I
November 7, 2013