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That's some complex math.
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Very.
Very.
In the words of the late Peter Donzelli, who was a Certified Arborist and an engineering professor:
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Many people have asked me to try my hand at this calculation.
As much as I have tried, I don’t yet understand it to my own
satisfaction, and don’t want to pass off bad information.
. . . [T]he initial rope tension and stretch (engineers would talk
about rope stiffness, the ability to resist stretch) . . . is the key
to solving for the forces in a speedline. Problem is that it now
becomes more complicated than just vector diagrams; there are
differential equations involved. Just as important, though are
some experiments to validate the equations.
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Bearing that in mind here are two articles on setting up a speedline:
http://www.treebuzz.com/pdf/speedline_variations_1.pdf
and
http://www.treebuzz.com/pdf/speedline_variations2.pdf
Here are some links to past discussion:
http://www.treebuzz.com/forum/showflat.php?Cat=0&Number=23165&page=0&fpart=3&vc=1
and
http://www.treebuzz.com/forum/showflat.p...h=true#Post8017
See also the ISA's Art and Science of Practical Rigging workbook and DVD, although that doesn't really address the issue of the forces involved.
If the tree is at all suspect, back it up with a second line.