AutoEngCalc - Engineering Calculators

Gear Train Optimization

Optimize simple and compound gear trains for desired ratio, torque multiplication, speed reduction. Automatic stage calculation with efficiency and tooth count constraints.

Overall Ratio
25 : 1
3 stages • Efficiency 97%

Gear Train Optimizer

Featured: Ratio • Stages • Torque • Efficiency

Stages vs Ratio

Optimal distribution

Key Formulas
Overall Ratio = Input RPM / Output RPM
Stages ≈ log(Ratio) / log(Avg Stage Ratio)
Output Torque ≈ Input Torque × Ratio × η_total
η_total = η_pair ^ (pairs)

Enter input/output speeds to optimize

Gear Train Guidelines

Stage Ratio

Ideal per stage: 3:1 to 5:1

Max practical: 10:1

Equal stages best for efficiency

Efficiency

Spur gears: 98–99% per mesh

Helical: 97–98%

More stages = lower total η

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