Daniel
Carpal tunnel level member
- Location
- Suburban Philadelphia (Wayne)
do you have any science at all to support the idea that a making the hinge 30% thincker would only give it 30% additional strength? data.. measurements from fracturing tree hinges????On a tapered hinge resisting side lean - if you made the whole hinge 30% thicker than standard 10%dia thickness then the hinge would be initially 30% stronger (1st power of thickness). If you then cut it to taper 13%dia
(10% + 30% of 10%dia) down to standard you get less than 30% strength increase, without running the math on the geometry I'd estimate +20% strength increase.
e.g. numbers 10% thick hinge on 24" dbh = 2.4" thick, +30% = 3.12" thick
Step1 moments of inertia - simple
Step 2 - calculate normal forces, moments and shear forces - bit harder
Step 3 - calculate and combine stresses into max localized values i.e. compare to yield strength - hard
Step1to3 - do this parametrically with dbh, log length density weight lean angle to learn something e.g. factor of safety
this is all independent of the topic of hinge failure mechanism except as applies to yield strength
So far an interesting side note is that shear stress is max midway as opposed the moment generated normal stress which is max at the edges. Shear is quadratic distribution not linear too.
and that;s not what I AM talking about.. a fat tapered hinge would leave 20-30% hinge thickness on the tension side.. that's 2-3X thickness where it counts...










