Gear Profile Shift Coefficient Calculator
Calculate profile shift coefficients for involute gear design. Optimize gear strength, prevent undercut, and adjust center distance with precision.
Gear Parameters
Gear module (pitch diameter ÷ number of teeth)
Number of teeth on the gear
Standard pressure angle (typically 20°)
Profile shift coefficient (positive or negative)
Calculation Results
Enter gear parameters and click "Calculate Profile Shift" to see results
Engineering Disclaimer
These calculations are for design reference and educational purposes. Always consult gear design standards (AGMA, ISO) and professional engineering validation for actual manufacturing.
Understanding Gear Profile Shift Coefficient
In involute gear design, the profile shift coefficient plays a key role in improving gear performance. It adjusts the position of the cutting tool relative to the gear blank, which directly affects tooth thickness, strength, and undercut prevention.
A well-chosen profile shift can increase load capacity and extend gear life. Positive shift moves the tooth profile outward, while negative shift moves it inward, each serving different design purposes.
This calculator helps you determine the optimal profile shift coefficient for your gear design requirements.
Why Profile Shift Is Used
Profile shift is commonly applied to optimize several gear design aspects:
- Prevent Undercut: Small gears with few teeth can develop weak tooth roots - positive shift prevents this
- Increase Strength: Profile shift can improve tooth root strength and contact ratio
- Adjust Center Distance: Modify the distance between gear centers without changing gear sizes
- Balance Load Distribution: Optimize contact patterns between mating gears
The choice between positive and negative shift depends on your specific design requirements and constraints.
Formula Used in the Calculator
Profile Shift Coefficient Formula
x = (d_actual − d_standard) ÷ (2 × module)
Where:
- x = Profile shift coefficient
- d_actual = Corrected pitch diameter
- d_standard = Standard pitch diameter (z × m)
- module = Gear module (m)
This formula allows quick determination of the profile shift coefficient without complex gear geometry calculations.
Example Calculation
Gear Parameters
| Parameter | Value |
|---|---|
| Module (m) | 2 mm |
| Number of Teeth (z) | 20 |
| Standard Pitch Diameter | 40 mm |
| Actual Pitch Diameter | 42 mm |
| Profile Shift Coefficient | +0.5 |
Interpretation
A positive profile shift coefficient of +0.5 indicates the gear has been shifted outward by half a module. This improves tooth strength and prevents undercut in small gears.
Final Thoughts
The Gear Profile Shift Coefficient Calculator removes guesswork from gear correction. It delivers fast, accurate results while remaining easy enough for beginners and precise enough for professionals.
Remember that while this tool provides accurate mathematical calculations, real-world gear design involves additional factors like material properties, manufacturing tolerances, and application-specific requirements. Always consult engineering standards and professional expertise for critical applications.