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I'm looking for some info on the decrease in rope strength when knotted; running bowline, cow hitch, ...
and,
Is there any formula or general rules to determine the amount of strength loss due to rope abrasion/damage.
I'm looking for creative ways to convey this info to a group of @ 20, most climb. 2 part talk on rope strength and the weight of tree parts. we will be looking at the green log weight chart.
Thanks!
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A running bowline should be stronger than a bowline per se. The reason is that in a running bowline the knot only bears about half the load. The weakest point more likely is where the load bearing rope crosses with the eye of the bowline - that forms a kind of girth hitch.
Not sure I've ever seen actual test numbers on the strength of a cow hitch, but it's basically a girth hitch with only one strand bearing the load instead of two strands as would be the case in a true girth hitch. If you look at slings in catalogs (Sherrill, Wesspur, Petzl, etc.) you'll see that a girth hitch is not as strong as a basket hitch but I don't know that I've ever seen actual numbers that express the strength of a girth hitch in terms of the single strand strength of the material it's implemented with, but that shouldn't be difficult to determine if the max load is given for the girth hitch and you know the material and size that is used.
I know what a spider leg is; I know what a prusik is; but I'm not quite sure what you're looking for when you say, "...beneath the prussic of a spider leg?"
There is no formula or hard rules to determine the amount of strength loss in a rope due to damage. The problem here is how to describe (mathematically, etc.) the amount of damage, or a damage factor to plug into the formula if one did exist.