i do cartoon/exaggerate the amount of taper to emphasize.
i have used this most in tree, but learned on ground after figuring out Dent's schematics.
>>then took upstairs for all kinds of stuff!
When Beranek and Dent show Tapered Hinge in larger than life stuff the taper is very slight by comparison across that longer range, as already has a lot of distance multiplier.
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The shortened hinge against side lean conversely will put more stress on the lesser hinge.
>>more fiber pull from less leverage to control side lean
In shortening hinge against side lean, the tension control and the Center of gravity positions don't change
>>BUT the position of the pivot of compressed fiber changes to closer to the tension for less leverage, BUT any time change 1st class pivot like this are also giving more distance and lean to the load side as well. So more loading distance and angle controlled by less leverage.
thus 'Pivotal Change' in our language for similair compounding changes in systems and then situations, even of speach.
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Have tried to map where the forces flow too.
Certain species, dead, frozen, diseased, cat facing etc. could keep system from taking all the produced forces without the container coming apart.
>>certain frozen, diseased, species etc. might not take the tensions as well(frozend, dead etc. less elastic), but ok with compressions (frozend,dead mite lose elasticity factorbut maintain compression strength, where dutch could come in then)
>>>>LOTS of materials don't take tensions well, compression very much more stable (if can only otherwise crumble)
>>>>wood and steel are specific examples that take tensions better than most materials
>>Just like can map load of force in rope correctly, but lesser rope might not take it.
Fair to say must know local species, temp reactions etc. and how to read tree and previous cuts that day to determine some factors, including how you are dancing with it that day!
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in playing around in tree, clearing some waiting for groundies;
Have learned a lot with 020, hand saw on 3-5" verticals.
>>could make small faces, backcut some and pull bodyweight at different forward angles to witness the resistance of tapered and dutchmens pulled at different angle
>>sometimes not to failure, push back open and modify backcut/face etc. play again, eyes wide open
This was the small end of the scale compared to where phenomenon first reported by Dent and Beranek.
Then, in tree, once figured out differences in pull angle, wood grain etc.
>>all models worked consistently, except where unusually brittle, diseased, 'cat faces'(scrambled grain even seen in bark from wound etc.).
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i do recommend not to use in root swell so much, where grain is shifting etc.
>>burned in both my remaining brain cells is
Beranek, in poster cutting 7' diameter 150' with 090 and a cast on foot . And shows root swell stopped there, so is choice of cutting area. Chains over/under cut to prevent splitting. Standing on springboards too!
Anytime i started feeling like i was good, i'd stand in front of the poster and be humbled; and just go out to do my best! When training guys to climb, they'd start thinking they had and were it all. Stand them in front of poster shut all that sheit up!
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Somehow i just always thought he knew what he was talking about!
Ne'er count out a man that done dangerous work his whole life,
there is a reason that ornery ol'cuss is still alive!!