This page now separates ideal lossless reduction arithmetic from a qualitative handwheel, pinion, quadrant and pawl topology. The former pawl-holding rating, safety-margin framing and weapon or actuator-sizing claims are removed.
Ideal Lossless Reduction Comparison
Compare a declared output torque, declared input comparison value and declared ideal ratio. Results are algebraic identities only and do not predict a real drive or catch.
Equation Used
- The declared ratio i is positive and dimensionless.
- The torque mapping is ideal and lossless with no friction, compliance, backlash or inertia.
- The declared input comparison is only a user-entered arithmetic reference.
- The qualitative animation is not dimensioned from the entered ratio or torque values.
- Pawl engagement is shown only as topology; no holding force or torque is calculated.
- Efficiency, self-locking, loads, strength, materials, tolerances, wear, speed, life, ratings, selection and safe operation are excluded.
Replaces the unsupported pawl-holding rating and safety-margin framing with explicit ideal lossless ratio arithmetic and removes weapon, actuator-sizing, capacity, materials, tolerance and service claims.
A pinion can drive a quadrant while a separate pawl indexes or retains position
European patent EP0020002B1 documents a pinion-driven quadrant combined with a pawl and spring. US2016436 documents a lever catch dog engaging a toothed quadrant and a release linkage.
The animation shows only a qualitative connected topology; the numeric worksheet is a separate ideal ratio ledger.
Use only as an ideal reduction comparison
The worksheet maps declared torque through a declared ideal ratio and compares the resulting ideal input with a user-entered arithmetic reference.
It cannot design, rate, select, motorize, operate or troubleshoot a drive or catch.
Ideal lossless torque-ratio identities
Delta is signed arithmetic only, not a safety margin.
A transparent ideal example
For declared Tout=400 N m, Tin,comparison=3 N m and i=60, the ideal input is 6.667 N m, the ideal required ratio is 133.3:1, the ideal output at the comparison input is 180.0 N m and delta is -3.667 N m.
Ideal torque multiplication is not a component rating
A real system depends on efficiency, gear geometry, bearings, backlash, compliance, inertia, tooth and pawl contact, materials and load history. None is represented here.
The former pawl-holding rating, safety-margin language, weapon operation, actuator sizing, self-locking, materials, tolerance, performance, selection and service claims are removed.
Ideal reduction-ledger questions
Does a positive delta prove the mechanism is safe?
No.
Is ideal output at the comparison input a pawl rating?
No.
Does the page include efficiency?
No.
Does the animation use the entered torques as forces?
No.
Ideal gear and quadrant-catch references
- MIT OpenCourseWare, Gear Trains Transcript: overall ratio multiplication and explicitly idealized output-torque calculation.
- European Patent EP0020002B1: pinion-driven quadrant with pawl and spring topology.
- US Patent 2,016,436, Lever Catch: toothed quadrant, dog and release linkage topology.
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