KEVOS® MAKEOS · Manufacturing
Grinding Equivalent Diameter and G-Ratio
What is the equivalent wheel diameter for this cylindrical grind, and what G-ratio was achieved?
Equivalent wheel diameter for external, internal or surface grinding, the geometric contact length for a depth of cut, and the grinding ratio (G-ratio) from metal removed and wheel worn.
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How this tool works
Inputs, units and where to find them
| Input | Unit | Typical source |
|---|---|---|
| Grinding | choice | Grinding configuration. |
| Wheel diameter | mm | Current wheel diameter. |
| Work diameter | mm | Work diameter (ignored for surface grinding). |
| Depth of cut | mm | Depth of cut per pass. |
| Work material removed (0 = skip G-ratio) | mm³ | Volume of work material removed during the test. |
| Wheel volume worn | mm³ | Volume of wheel worn in the same period (from wheel diameter loss). |
Method and formulas
- External: De = ds dw ÷ (dw + ds); internal: De = ds dw ÷ (dw − ds); surface: De = ds.
- Contact length lg = √(ae De).
- G-ratio = work volume removed ÷ wheel volume worn.
- Example: a 400 mm wheel on 50 mm work has De = 44.444 mm and a contact length of 0.94281 mm.
Limitations
- Geometric contact length; real contact is longer due to wheel and work deflection.
- Example values are illustrations. Replace them with values for your actual task.
Typical uses
- Compare grinding conditions between external and internal work
- Track wheel wear performance
- Estimate contact length for burn risk
Who it is for
- Grinding machinists
- Manufacturing engineers
What you get
- Equivalent wheel diameter
- Geometric contact length
- G-ratio
Interpreting the result
- Larger equivalent diameters (internal grinding) mean longer contact, more heat and more burn risk.
References
- Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 1199–1268. Topic reference; no source tables or recommended settings are reproduced.
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