CALCULATORS / MECHANISMS

Gears and gear trains

Rigid involute-gear kinematics; qualified stress approximations.

tooth counts, input speed and torque, efficiency → ratio, output speed and torque

module, tooth count, pressure angle, face width → pitch, root and tip dimensions

sun, ring and planet teeth, held member, input member → ratio, member speeds, geometry feasibility

target ratio, allowed stages and tooth counts → feasible tooth combinations, stage ratios

modules, tooth counts, internal or external mesh → nominal shaft spacing

pitch diameter, tooth count or diametral pitch → module, tooth size, compatible dimensions

normal module, helix angle, teeth, torque → pitch geometry, axial and radial forces

shaft angle, ratio, module → pitch-cone angles, nominal envelope

starts, wheel teeth, lead angle, friction → ratio, conditional efficiency, self-lock screening

pinion pitch diameter, RPM, torque, efficiency → linear speed, travel per turn, rack force

torque, module, face width, geometry factor → tooth stress estimate, required width

mesh backlash, ratios, pitch radii → angular and linear lost motion

sun, ring, planet teeth, planet count → spacing and phasing checks, adjacent clearance

ratios, gear sizes, shaft layout, wall margins → packaging envelope, shaft positions