Documentation/Modules/Bevel Gear Screening

Bevel Gear Screening

Bevel geometry and strength screening

Standards catalog

Validation: indicative · Method band: formula

Open calculator

Indicative method: Lewis/Hertz-style bevel screening (indicative)

Assumptions

  • Linear elastic material behavior unless noted otherwise.
  • User is responsible for load combinations and load factors per the selected design code.
  • Design standard (US/EU/ISO) sets unit defaults and screening check labels — not a full code worksheet.

Limitations

  • Not a full AGMA/ISO bevel worksheet — professional screening only.

Engineering checks

CheckINDUSEUISO
Bending strength safety factorimplementedimplementedimplementedimplemented
Contact (pitting) strength safety factorimplementedimplementedimplementedimplemented
Scuffing safety factorplannedplannedplannedplanned
Bending fatigue safety factorimplementedimplementedimplementedimplemented
Contact fatigue safety factorimplementedimplementedimplementedimplemented
Micropitting safety factorplannedplannedplannedplanned

Bevel Gear Screening (bevel-gears)

Purpose

Screen straight and spiral bevel gear sets for geometry, pitch cone dimensions, and bending/contact strength using adapted spur gear rating methods. Provides preliminary sizing before detailed Gleason/Klingelnberg analysis.

Physics & theory

Bevel gears transmit power between intersecting axes, typically at 90°. Pitch cone geometry relates pinion and gear tooth counts through shaft angle . Mean cone distance and mean module define the virtual spur gear equivalent used for strength screening.

Tangential force acts at the mean pitch circle on the pitch cone. Bending and contact stresses use ISO 6336–style factors applied to the virtual cylindrical gear dimensions. Face width is limited by cone length and should not exceed without detailed analysis.

Governing equations

Numerical method

Virtual spur gear transformation followed by gear rating checks shared with the spur gear module. Cone geometry computed from tooth counts and shaft angle; strength factors applied at mean section.

Inputs

ParameterDescription
pinionTeeth, gearTeethTooth counts
Shaft angle Usually 90°
module, faceWidthMean module and face width
power, speedOperating conditions
Material allowablesBending and contact limits

Outputs

  • Pitch cone angles, mean diameters, cone distance, tangential force, bending/contact utilization.

Design codes & checks

  • Indicative: Lewis/ISO-style bending and contact screening
  • ISO: ISO 10300 bevel gear load capacity (reference)
  • US: AGMA 2003 bevel gear rating (reference)

Assumptions & limitations

  • Straight or zerol bevel screening; spiral angle effects simplified.
  • Virtual gear method — not full bevel-specific ISO 10300 factor set.
  • Assumes proper mounting and lapping; no deflection under load.
  • No scuffing or lapping contact pattern analysis.

Verification

References

  1. ISO 10300-1:2014. Calculation of load capacity of bevel gears.
  2. AGMA 2003-D19. Rating the Pitting Resistance and Bending Strength of Generated Straight Bevel, Zerol Bevel and Spiral Bevel Gear Teeth.
  3. Shigley, J. E., & Budynas, R. G. Mechanical Engineering Design, 11th ed.
  4. Maitra, G. M. Handbook of Gear Design, 2nd ed. McGraw-Hill.
  5. Beer, F. P., et al. Mechanics of Materials, 8th ed. McGraw-Hill — foundational stress and deformation theory.
Maintainer note: Bevel gear strength screening.