Engineering & mechanics

Compound gear train table

Track stage ratios, speed and rotation direction through a compound external gear train.

Compound gear train table
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Your inputs

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Up to 25 MB per file, 50,000 data rows, 200 columns and 2 million data cells. Fully blank rows and columns are ignored before row, column and cell limits are checked. Individual tools may have smaller result or chart limits.

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A clear answer. Here’s how.

Each row supplies whole driver/driven tooth counts from 1–1 million. The next driver is assumed rigidly coupled to the preceding driven shaft. External meshes reverse direction at each stage; ratio and RPM propagate cumulatively. Supports up to 20 stages. Idlers, internal gears, differential/planetary constraints, efficiency and strength are excluded.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

CSV: Driver,Driven
Driver,Driven
20,60
15,45
Input speed (RPM)
1200

Example result

Example result
StageDriver teethDriven teethStage reductionCumulative reductionOutput RPMDirection
1206033400Opposite to input
2154539133.333333333Same as input

External gears at every stage. Each next-stage driver is rigidly coupled to the prior driven shaft; idlers and planetary trains are not inferred.