Helical Gear Geometry and Forces Calculator
Calculate matched parallel-axis helical gear reference geometry and ideal tangential/radial/axial force magnitudes.
YOUR CALCULATION
Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Use normal-system geometry and ideal force resolution for a matched opposite-hand external helical pair on parallel axes.
mt=mn/cosβ; tanαt=tanαn/cosβ; d=mt z; Ft=2(P/ω)/d; Fr=Ft tanαt; Fa=Ft tanβ
Worked example
At zero helix angle, transverse module equals normal module and ideal axial thrust is zero.
Assumptions and input details
Reference pitch geometry and force magnitudes only, same normal module/angle and helix magnitude for the pair. No tooth strength, contact ratio, interference, efficiency, bearing load direction, face-width or physical gear selection.
Unit definitions
Unit selection is independent of language. Each selector contains only units for its physical quantity. Calculations use defined base units internally.
SI prefixes are explicit: for example, milli means one thousandth, micro one millionth and kilo one thousand. Changing a unit changes the interpretation of the entered number.
One revolution is 2π radians or 360 degrees. One minute is 60 seconds, so 1 rpm = 2π/60 rad/s. Rotational frequency in hertz counts revolutions per second.
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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