Quick Answer
Calculate ISO 10360-2 Volumetric Maximum Permissible Error (e_MPE) for Coordinate Measuring Machines
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Find Engineering Solutions →Result Interpretation
ISO 10360-2 Volumetric Maximum Permissible Error (e_MPE) for Coordinate Measuring Machines calculator computes Volumetric maximum permissible error in mm using the defined engineering formula and the input values provided. Volumetric maximum permissible error is expressed in mm. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Maximum permissible error along X-axis = 1.2
- Maximum permissible error along Y-axis = 1.2
- Maximum permissible error along Z-axis = 1.2
- Maximum permissible error in XY-plane squareness = 0.6
- Maximum permissible error in YZ-plane squareness = 0.6
- Maximum permissible error in ZX-plane squareness = 0.6
Expected Result:
- Volumetric maximum permissible error = 2.3237900077245
Engineering Interpretation:
Under the given input conditions, the calculated result is: Volumetric maximum permissible error = 2.3237900077245 mm.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.
Formula / Method
volumetric maximum permissible error = sqrt(pow(maximum permissible error along x-axis, 2) + pow(maximum permissible error along y-axis, 2) + pow(maximum permissible error along z-axis, 2) + pow(maximum permissible error in xy-plane squareness, 2) + pow(maximum permissible error in yz-plane squareness, 2) + pow(maximum permissible error in zx-plane squareness, 2))Formula family: formula_metrology_cmm_volumetric_maximum_permissible_error_e_mpe_calculator_per_iso_10360_
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| Lx | Maximum permissible error along X-axis | INPUT | Maximum permissible error along X-axis |
| Ly | Maximum permissible error along Y-axis | INPUT | Maximum permissible error along Y-axis |
| Lz | Maximum permissible error along Z-axis | INPUT | Maximum permissible error along Z-axis |
| Lxy | Maximum permissible error in XY-plane squareness | INPUT | Maximum permissible error in XY-plane squareness |
| Lyz | Maximum permissible error in YZ-plane squareness | INPUT | Maximum permissible error in YZ-plane squareness |
| Lzx | Maximum permissible error in ZX-plane squareness | INPUT | Maximum permissible error in ZX-plane squareness |
| result | Volumetric maximum permissible error | OUTPUT | Volumetric maximum permissible error |
Calculation Steps
- Enter the maximum permissible error along x-axis in mm.
- Enter the maximum permissible error along y-axis in mm.
- Enter the maximum permissible error along z-axis in mm.
- Enter the maximum permissible error in xy-plane squareness in mm.
- Enter the maximum permissible error in yz-plane squareness in mm.
- Enter the maximum permissible error in zx-plane squareness in mm.
- Step 1: Compute volumetric maximum permissible error.
- Read the volumetric maximum permissible error (mm) from the results.
Engineering Summary
Calculate ISO 10360-2 Volumetric Maximum Permissible Error (e_MPE) for Coordinate Measuring Machines
Frequently Asked Questions
What does this calculator calculate?
The ISO 10360-2 Volumetric Maximum Permissible Error (e_MPE) for Coordinate Measuring Machines calculator estimates Volumetric maximum permissible error based on the input parameters you provide
Why is maximum permissible error along x-axis important in this calculation?
maximum permissible error along x-axis is used directly in the calculation of volumetric maximum permissible error. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter maximum permissible error along x-axis in mm, the calculator uses it in the engineering formula to compute the output
How should I interpret the result volumetric maximum permissible error?
The calculator outputs volumetric maximum permissible error in mm. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Maximum permissible error along X-axis (mm), Maximum permissible error along Y-axis (mm), Maximum permissible error along Z-axis (mm), Maximum permissible error in XY-plane squareness (mm), Maximum permissible error in YZ-plane squareness (mm), Maximum permissible error in ZX-plane squareness (mm). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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