Cp/Cpk Formula For Unilateral Tolerance:
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Cp/Cpk (Process Capability Index) for unilateral tolerance measures how well a process meets a one-sided specification limit. It indicates whether a process can consistently produce output within the required tolerance limit.
The calculator uses the unilateral tolerance formula:
Where:
Explanation: The formula calculates how many standard deviations the process mean is from the tolerance limit, providing a measure of process capability.
Details: Cp/Cpk values help manufacturers assess process capability, identify improvement opportunities, and ensure products meet quality standards. Higher values indicate better process capability.
Tips: Enter the tolerance limit, process mean, and standard deviation (σ). All values must use consistent units, and σ must be greater than zero.
Q1: What is a good Cpk value?
A: Generally, Cpk ≥ 1.33 indicates a capable process. Cpk ≥ 2.0 is considered excellent.
Q2: When should unilateral tolerance be used?
A: Use unilateral tolerance when there's only one specification limit (e.g., maximum impurity level, minimum strength requirement).
Q3: How is this different from bilateral tolerance?
A: Bilateral tolerance has both upper and lower limits, while unilateral has only one limit.
Q4: What if my Cpk value is less than 1?
A: Cpk < 1 indicates the process is not capable of meeting the specification limit consistently.
Q5: Can Cpk be negative?
A: Yes, Cpk can be negative if the process mean is beyond the tolerance limit, indicating the process is not meeting requirements.