Bending Moment
Mechanical
Bending Moment is a core engineering term. Definition, usage notes, and a practical example.
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Contact Ratio Calculator
Calculates e_alpha (profile) and e_beta (overlap) with ISO/DIN full-depth assumptions and returns total contact ratio.
Contact Ratio Calculator
Computes e_alpha (profile) and e_beta (overlap) for ISO/DIN standard full-depth (ha* ~ 1, hf* ~ 1.25). For beta = 0, helix contribution is zero.
Profile contact ratio e_alpha1.573
Overlap ratio e_beta1.442
Total contact ratio e3.014
Transverse module m_t [mm]2.071
Transverse pressure angle α_t [deg]20.65
Center distance a [mm]74.54
In the e_alpha formula, base pitch p_b = π·m_t·cos(α_t) is used. e_beta = b*sin(β)/(π·mn); for beta = 0, e_beta = 0. ha* = 1 (standard addendum). Root safety should be checked separately for hf* ~ 1.25.
Standard Documentation
Gear Contact RatioScope: What does this tool calculate?
Gear Contact Ratio performs the core engineering calculation for this tool type and presents results in a traceable format.
Assumptions and Units
- SI units are the baseline; input unit consistency must be verified by the user.
- The calculation path is deterministic (same inputs = same outputs).
- If default material/environment values are used, replace them with project-specific values.
Limits / Boundaries
- This tool is intended for preliminary sizing and technical checks, not final design approval.
- When inputs are outside expected ranges, validate input quality before interpreting outputs.
Reference Standard
- ISO / DIN / VDI references and common engineering handbooks
Validation Example
Validation example
| Input | Expected Output |
|---|---|
| Input set: Unit-consistent project values | Expected output: Tool result is in the same order as standard references |
Note: In real projects, run at least one manual check or reference-table comparison.
Version and Update
- Version
- v0.1.0
- Last updated
- 2026-03-04
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