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Re: [brenta] Common KNs in real world falls:
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brenta
Feb 14, 2010, 9:02 PM
Views: 4735
Registered: Aug 25, 2006
Posts: 50
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brenta wrote: y is the total amount by which the entire rope lengthens. I finally got to play a bit more with this problem. The above quote is (rather obviously) incorrect. The total stretch is s2+y: s2 on the belayer's side and y on the climber's side. With octave's help, I got the following graph for the force at the top anchor as a function of the fall factor: It is not terribly different from those based on Attaway's formulation, but it does show crossings. Reassuringly, for mu=0 my solution coincides with Wexler's. The graph was obtained for k=20 kN. Of course, the assumption that a rope behaves like an ideal spring is rather crude and masks some interesting effects.
(This post was edited by brenta on Feb 15, 2010, 3:31 AM)
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Post edited by brenta
() on Feb 15, 2010, 3:31 AM
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