True Position Formula:
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True Position is a GD&T (Geometric Dimensioning and Tolerancing) tolerance that controls the variation in the location of a feature from its exact theoretical position. It's calculated as twice the distance between the measured and theoretical positions.
The calculator uses the True Position formula:
Where:
Explanation: The formula calculates the radial deviation from the theoretical position and doubles it to get the true position value.
Details: True Position is critical in manufacturing for ensuring proper fit and function of assembled parts. It's widely used in automotive, aerospace, and precision engineering industries.
Tips: Enter all position values in inches. The calculator accepts decimal values for precise measurements. Ensure all fields are filled with valid numbers.
Q1: What units does True Position use?
A: True Position is typically measured in inches or millimeters, matching the units of your drawing or specification.
Q2: How is True Position different from linear dimensions?
A: True Position considers the combined deviation in both X and Y directions, providing a more comprehensive tolerance zone.
Q3: What's the significance of the multiplier 2 in the formula?
A: The multiplier 2 converts the radial deviation to a diameter value, which is the conventional way to specify position tolerance.
Q4: Can True Position be calculated for 3D coordinates?
A: Yes, the formula can be extended to 3D by adding the Z-axis component: \( TP = 2 \times \sqrt{(x-x_0)^2 + (y-y_0)^2 + (z-z_0)^2} \)
Q5: How does True Position relate to MMC/LMC?
A: When used with Maximum Material Condition (MMC) or Least Material Condition (LMC), True Position tolerance can vary based on the actual size of the feature.