Mechanical & Civil Engineering
Helical Gear Geometry & Axial Force Calculator
Compute the normal module and axial (thrust) force generated by a helical gear from its helix angle.
Your inputs
Change any value to update the result instantly.
Normal module
2.8191 mm
Axial (thrust) force
364 N
Helix angle
20 deg
Transverse module
3 mm
What this calculator does
Helical Gear Geometry & Axial Force Calculator: Applies the standard machine-element relationship used in design textbooks so the capacity, rating or geometry can be worked out step by step.
What your result means
The headline figure is the capacity, rating or geometric result for the element you described. Compare it with the manufacturer's rating and your required service factor.
Formula and working
mn = mt·cos(ψ); Fa = Wt·tan(ψ)
- 1
Collect the inputs
Transverse module = 3 mm; Helix angle = 20 deg; Tangential force = 1,000 N
- 2
Apply the formula
mn = mt·cos(ψ); Fa = Wt·tan(ψ)
- 3
Result
Normal module = 2.8191 mm
Frequently asked questions
Symbols and assumptions
- mt
- Transverse module (mm)
- psi
- Helix angle (deg)
- Wt
- Tangential force (N)
- • Standard textbook geometry and steady operating conditions are assumed; shock, misalignment and wear factors are not applied automatically.
- • Material and surface-finish allowances must be chosen by the user for their actual component.
Sources and review
Reviewed 2026-09-22 · Next review 2027-09-22
- • This is an educational estimate for learning and checking, not a design deliverable.
- • Real design must follow the governing code or standard for your jurisdiction and be reviewed and signed off by a qualified engineer.
- • Safety factors, load combinations and material certification are the responsibility of the designer, not of this page.
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
Report a mistake or request an improvement
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