Wafer Tumbler Lock: Illustration and Single-offset Comparison

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A wafer-tumbler lock uses spring-biased flat wafers whose correct key positions clear the plug-to-shell boundary. This calculator is only a one-offset tolerance calculation.

Wafer Tumbler Lock Interactive Calculator

Enter a signed wafer-offset index and tolerance. Results are a one-dimensional comparison—not a key code, lock-opening guide, jam-angle prediction, torque model or security assessment.

0°

Heuristic over-limit angle score
--
Absolute offset magnitude
--
Signed tolerance margin
--
Tolerance utilization
--

Equation Used

error=|e|; margin=T−|e|; tolerance used=100|e|/T; heuristic angle score=0 when |e|<=T, otherwise 25|e| degrees.
Offset sign is discarded by the error calculation. Negative margin and more than 100% used indicate the entered magnitude exceeds the entered tolerance. The degree-valued score is an arbitrary display rule, not a physical wafer rotation or jam angle.
  • Only one signed offset and one positive tolerance are entered.
  • Alignment error is the absolute offset magnitude.
  • Margin is an arithmetic difference and tolerance used is a ratio.
  • The angle-like score is zero within tolerance and 25 degrees per millimetre of absolute offset outside tolerance.
  • Wafer count, key bitting, spring force, plug/shell geometry, clearances, friction, torque, wear, manufacturing uncertainty, lock operation and security resistance are omitted.
Same mechanism and inputs as the interactive calculator.

Wafer and Plug-to-Shell Boundary

U.S. Patent 6,959,569 describes wafer-shaped tumblers sliding in channels between a plug and shell; correct key positioning removes interference so the plug can rotate. This page does not model a specific lock or key.

What This Calculator Represents

Compare the magnitude of an entered offset with a chosen tolerance. The margin and percentage describe that comparison; the additional angle-like score follows the displayed arbitrary rule.

One-Offset Tolerance calculation

error=|e|
margin=T−|e|
used=100|e|/T
score=0 if |e|≤T; otherwise 25|e| degrees

The degree-valued score is heuristic and is not a physical jam angle.

Worked Comparison Example

For e=+0.20 mm and T=0.10 mm, error is 0.20 mm, margin is −0.10 mm, utilization is 200%, and the calculator's heuristic score is 5.0 degrees.

Assumptions and Limits

  • Calculated: absolute offset, signed margin, tolerance utilization and an arbitrary illustrative score.
  • Illustrated: one generic wafer crossing or clearing a boundary.
  • Not calculated: a key, lock operation, interference force, torque, wear, tolerances across an assembly or security performance.

Frequently Asked Questions

Does the calculator reveal a key code?

No.

Is the angle score a physical wafer angle?

No.

What does negative margin mean?

The entered offset magnitude exceeds the entered tolerance.

Does offset sign affect the outputs?

Only the input display; the arithmetic uses absolute value.

Are spring force and torque included?

No.

Does this assess lock security?

No.

References

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