i don't remember a specific chart on this, many knot tests etc. at
Pro Assoc. of Climbing Instructors (PACI ) if Mark Gommers alias agent.Smith made a .pdf seen, the password = thankyou , quite simply..
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But hear goes..
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Webbing/flat rope on a tight bight of krab etc.
For me has an advantage, in it lays flat; does not stand tall on the deformation/curve.
As a deformed axis, round rope height on this arc is telling you how hard line is leveraged to using fewer fibers, as compressed inner fibers can't pull.... And if outer arc fibers are pulling(tensioned) and inner arc fibers seated to krab are compressed; i maintain in the gradient slide from tension to compressed there MUST be region of neuter/neither/twilight between full light/dark of tension and compression. Of this stack, ONLY the fewer tensioned fibers are pulling load. Flexible supports (rope, web, chain, cable etc.) are tension only supports. By extension if tight bight on pulley, these outer tensioneds become the cranking leveraged arm distance giving leverage over pivot of slip bushing or bearing, rather than track of outer sheave I'd think.
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Flat rope/webbing by contrast doesn't sit tall, does not have any real 'dimension' on this deformed axis of tight bight curve around the krab.
i also think,
that a girth/choke type sling grab secures by cutting across the structural column of the loaded Standing Part to 'weaken' knot by throwing off the geometry efficiency, specifically changing the angle of the column from pure inline. This reduction in efficiency is mostly falling cosine. i read cosine as the remaining support column percentage of a rope tension. So that pure inline cosine 1.0 means all of line tension is to support column. By this measure, a knot of 70% strength/efficiency shows approximate deformity of 45degrees (who's cosine is .707).
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i think venerable ABoK offers some answer across the (p)ages.
At one point he does offer a Round Turn on a small mount to spread out wear.
Lesson#1720 offers this tidbit "... If a spar is small a round turn is preferable to a single turn. It makes a stronger knot and dissipates the wear."
But then more generally in lesson#1669 offers :
"...If the rope is weak and the hoist is heavy, a round tum on the standing part adds
materially to the strength of the knot"
i pretend all loads are heavy compared to rope, as to weigh and measure all knots against this precept.
Knot sage knudeKnoggin offers tho, can't do both; can't have cake and eat it too..
If use strategy #1720, don't get even more strength by adding in strategy#1669 to the build.
(i think Round Turn on host spreads out wear, and leaves less force in Working End to deform Standing Part that is column of support against loadings proper. In extreme example 5 turns on host and Bowline around Standing Part support column is said t be 'Tensionless Hitch' as no appreciable side tension across Standing Part support column , per att_frict.pdf benchmark chart shows Working End /Bitter End would be 1/250th of Standing Part that Working End is trying to bend.. But think that Round Turn around Standing Part support column might be best in trade of no Round Turn on host mount).
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For me, i have named this as because #1669 needs force to grip Standing Part. This force is reduced if preceded by Round Turn around the host support or load.
>>i think gripping the rope more, serves to pull away more for a less flat teepee
as the securing leg is now pulling more like a stronger splice along Standing Part rope column, rather than simply cutting across the support column like simple girth/choke.
Sometimes can VISIBLY witness, Girth cutting more across Standing for flatter teepee, seating tighter towards/into krab. While Round Turn of more extended Chinese finger trap lacing style securing pulls away from krab, to more pointed teepee, less deformed from pure inline, pulling ALONG Standing Part column more like a splice as opposed to girth cutting ACROSS said support column at 'Samson Angle' across temple columns of support.
If can pull more along column properly, look for more strength. If second leg not only pulls along column rather than across, and can be made to conspire to carry part of the load, i think can look for even more strength to this model! (friction hitch grab distanced out on Standing Part giving closest perhaps to model of dual support leg eye splice, lower loading per leg giving less impact of loss from deformity, that itself is minimized, Purcell Prussik anyone?!).
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In wider flat rope, that we will say for here is the opposite profile/geometry of round rope
>>just as the opposite geometry of flat performs better on the krab arc
>>and this opposite geometry of flat takes weakest round rope structure of Overhand Knot and makes it a star in joining flat webbing as 'Water Knot'
>>AND as a Whatknot can misalign in round but again can be a star in flat rope (doesn't reposition as easily)
We can see alas, more deformity to weaken (i believe) in Round Turn on Standing Part in flat rope/webbing. Might make neat full Windsor tie triangle knot that is pretty, but still violation of pristine manufactured column(s) structure.
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EXCEPT, perhaps the slender dyneema slings offered, for stacked 2 high (like laying across krab) is closer to round profile/geometry as is now about ~ as thick as wide. And major dyneema is the slender slick strands surrounded by polyester for grip handing. i'd think any dyneema would be a bit buffered from deformity in that build. An extended series can make spacer to more visibly flag if a leg passes inside of gate(where can look like on krab rite and then shear off under load)
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Not sure age of pic(my blue towel era around Y2K), but this 'boot' strategy worked fine fer me. Visualize imbuing some dynamic absorption if rest of build is tight stable braid on likewise unforgiving support.
Will warn tho, perhaps not one of my better accepted notions...
>>and if sling is allowed to be free ranging more evens out wear
i say 'builds' cuz that is what i think we are doing, carving a structure from easier to work rope (pliable at room temp until 'forged' to less pliable by loading) rather than from wood or metal. But still creating structure against loadings.
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Note: in trade, as we talk about more column strength from tension going to support column cosine, via softening angle, demands lower tensions applied on cross-axis to grab host as a reduction in tension for same load AND lower sine multiplier to calc side force grip by. Perhaps a consideration as grip against slide might be only anti slide on otherwise unguarded angle or movement.