That is pretty good distillation of many things into common sense rule.
In an assumed round; stopping right before center, leaves the hinge at center, widest part; no sweat. If there was a lil back lean, let's say no side leans; i'd sneak that hinge patch to just the other side of center/halfway (giving up some hinge length-cuz not needed as much to leverage support agaisnst side lean); so as to put that pivot of the hinge just a'lil further back under the back lean; just what ever few degrees i could gain to advantage in this trickier circumstance of pulling against a rear leaning tree.
If the tree isn't perfectly round, and has side lean away fron target; then i turn on all that other stuff and in the odd pattern/shape of the stump plot the same longest across hinge i can, that Eric's placing hinge at center of round naturally gives; even though i have a different shape to deal with than round.
C.o.B. (Center of Balance) to pivot part of hinge angle/distance; gives the loading charachteristics. On the other side of that pivot; hardest pulled hinge fiber distance/shape to pivot gives support charachteristics. It is like a see-saw lever with the pivot in the middle, only with about a 90o bend at the pivot, the shortenged length on the horizontal leg is made up by wood fiber, used as lines to have enough power to hold against the lean, by tying the tree down to the stump. so the strenght of these fibers and their leveraged positioning must match the length and weight pulls on the other side of the pivot balance.
In the
Hinge Forensics Thread ; my whole point was identifying, appreciating the most severely 'marked' parts of the hinge. The most compressed as pivot, the most stretched as holding support; even though i 'read' those parts of an old stump to approximate lean and fall; the real point was the angle of pulls of lean and fall change the way the hinge works within the same hinge! You only have the area of the stump to make those mechanical adjustments in; you can gain more leverage of support by placing the pivot maximized; then putting the holding force of the most stretched wood fibers as far as possible from the pivot. So that whatever strength the most stretched fiber path in hinge has, place further from pivot part of hinge; gives that strenght more leverage.
Like the same man picking up the longest wrench to crank with has more power to task; anything else is less, a compromise, and his SWL against any task he meets isn't as high; so he can't as totally overwhelm the task, and have reserve in case of miss-calculation.
Orrrrrrrrrrrrr sometin'like that,
:alien: