Gears & Gear Trains
Every gears & gear trains calculator on CalcEngines — each with its formula, a worked example, the standard it follows and the assumptions it makes.
9 calculators in this section
- Bevel Gear Geometry CalculatorPitch cone angles for any shaft angle, outer and mean cone distances, the face width limit on both published rules with the 11 per cent disagreement shown, the mounting distances a bevel pair is actually assembled to, and what a long face does to the tooth at the small end.
- Gear Contact Ratio and Backlash CalculatorTransverse contact ratio from the tip and base circles and the line of action, banded against published guidance; and the backlash a centre-distance offset and a tooth thinning produce — exact, not linearised — with the catalogue band and the thermal change.
- Gear Module and Diametral Pitch CalculatorModule, diametral pitch and circular pitch converted exactly in any direction, with the ISO 54 module series, the standard diametral pitch series, the tooth proportions each implies, and the near-miss table that shows why a 2 mm module gear and a 12 DP gear do not mesh.
- Gear Profile Shift CalculatorThe operating pressure angle, the centre distance modification coefficient and the tip shortening coefficient computed side by side — because they are three different numbers, and the centre distance does not grow by the sum of the shifts.
- Gear Tooth Bending Stress CalculatorThe Lewis bending estimate with the Barth velocity factor, both published readings of the form factor, the permissible load it implies, and the Hertz contact pressure that usually governs instead — with an explicit list of what Lewis omits and what AGMA 2001 and ISO 6336 add.
- Helical Gear Geometry and Thrust CalculatorNormal against transverse module and pressure angle, centre distance, the axial thrust F_t·tan β that goes into the bearings, and the overlap ratio that makes a helical pair quiet — with the bearing types that can and cannot take the thrust.
- Rack and Pinion CalculatorTravel per revolution, steps per millimetre, thrust and backlash for a rack and pinion drive — with the backlash set where it really is set, by the pinion's height above the rack, and the rack's own pitch error put beside the resolution so the two are not confused.
- Spur Gear Geometry CalculatorEvery dimension a spur gear drawing needs — pitch, tip, root and base diameters, centre distance, tooth thickness and depths — plus the undercut limit computed rather than quoted, and the span and over-pins measurements that let you check a gear you did not cut.
- Worm Gear Ratio and Efficiency CalculatorRatio, lead angle, sliding velocity and efficiency for a worm pair — with the heat that low efficiency implies, the thermal rating that heat forces, and the reason self-locking must never be the only thing holding a load.