Persistent orthographic tree diagnostics
Notch width · rail paths · holding edge
Lean plane · stump gap · contact
Back cut · remaining wood · +Z corridor
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Notch width · rail paths · holding edge
Lean plane · stump gap · contact
Back cut · remaining wood · +Z corridor
Face-cut validation
Educational reference: 30% of trunk diameter sits within the OSHA Logging eTool’s 25–33% face-notch depth range. Exact geometry varies; this is not a universal prescription. OSHA eTool source ↗
Physics model · motion onset
The model divides the tapered trunk into 64 volume slices, then adds modeled limb and crown mass. Their combined center of mass determines the horizontal lever arm acting around the remaining hinge.
Gravity always points down. Lean and crown bias move the center of mass farther toward the fall corridor, increasing the moment at the stump. With the same cuts and wood condition, a larger forward lean should reach motion onset sooner.
The green hinge is the uncut band that bends and guides rotation. This preset targets hinge thickness near 10% of tree width at the cut. In a plunge plan, the yellow band is the bored slot; after motion onset the chain finishes through the rear trigger instead of depicting it as splintered wood.
Each incremental cut removes cells from a 96 × 96 stump section. The solver compares gravity demand with reduced section and trigger capacity, refines the threshold by bisection, and integrates hinge damage, stump contact, butt separation, and ground impact. Straight-through motion stops and withdraws the saw; plunge-trigger motion completes the locked cutting path.
Model boundary: this is an educational rotating-body and idealized-fiber simulation, not a felling prediction. Real behavior also depends on wind, moisture, grain direction, knots, decay, root and soil condition, hidden defects, cut quality, and the flexible response of the crown. Reference values and terminology: OSHA felling hinge, OSHA special techniques, USDA FPL black locust data, and the FPL Wood Handbook.