# Mechanical Transmission and Machine-Element Sizing

Screen a gear, belt/pulley, chain/sprocket, torque, or spring-rate calculation by matching the transmission type to the known quantities. Treat every result as preliminary, not a certified design.

> Canonical page: https://elysiatools.com/en/hubs/mechanical-transmission-and-machine-element-sizing

- **Keywords:** gear ratio and module, belt pulley speed ratio, chain sprocket ratio, torque calculation, spring rate sizing

## Frequently asked questions

### Who is this workflow for?

It is for students, educators, designers, technicians, and prototyping teams who need a quick, traceable screening calculation for a machine element before a fuller engineering review.

### Which gear tool should I use first?

Use gear-ratio-calculator when the driver and driven tooth counts are known, optionally with driver rpm. Use gear-module-calculator when the known geometry is pitch diameter plus tooth count, or circular pitch.

### How do I choose between the belt and chain tools?

Choose belt-pulley-speed-ratio when the transmission is described by pulley diameters. Choose chain-sprocket-ratio when it is described by sprocket tooth counts; provide driver speed and chain pitch only if the corresponding speed result is needed.

### Can these results approve a component or certify a design?

No. The calculators provide preliminary idealized values. Friction, material, fatigue, safety factors, tolerances, heat, duty cycle, interfaces, and applicable standards require review by a qualified engineer before selection, fabrication, or certification.

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