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Documentation/Modules/4.2 Gear Design

4.2 Gear Design

Spur and helical gear calculations

Standards catalog

Validation: beta · Method band: formula

Open calculator

Indicative method: Lewis bending and simplified Hertzian contact (indicative)

Assumptions

  • Linear elastic material behavior unless noted otherwise.
  • User is responsible for load combinations and load factors per the selected design code.

Limitations

  • Indicative scuffing and bending fatigue screening added; full AGMA/ISO factors not included.

Engineering checks

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

4.2 Gear Design (gears) — beta

Purpose: Spur gear pair sizing — Lewis bending and simplified Hertzian contact.

Method: Closed-form / empirical

  • Torque:
T = \dfrac{60P}{2\pi n} $$[^bending-and-contact-implemented-indicative-agma-] - **Lewis bending:**

\sigma_b = \dfrac{F_t}{b,m,Y}

- Contact (simplified): Hertz-style $\sigma_c \propto \sqrt{F_t E' (1/R_1 + 1/R_2)}$ **Design codes:** Bending and contact **implemented** (Indicative, AGMA 2101, DIN 3990, ISO 6336-2/3). **Planned:** scuffing, bending/contact fatigue, micropitting. **UI:** Legacy three-column; unit profile; benchmarked. **Gaps:** No profile shift, helix angle, or gear mesh FEA; scuffing/fatigue checks catalogued as planned only. --- [^bending-and-contact-implemented-indicative-agma-]: Bending and contact **implemented** (Indicative, AGMA 2101, DIN 3990, ISO 6336-2/3). **Planned:** scuffing, bending/contact fatigue, micropitting.
Maintainer note: Established equation set with moderate assumptions.