Cpk Formula for One-Sided Specification:
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The Cpk (Process Capability Index) for one-sided specification measures how well a process meets a single specification limit (in this case, lower specification limit for steel). It indicates the process capability relative to the lower specification boundary.
The calculator uses the one-sided Cpk formula:
Where:
Explanation: The formula calculates how many standard deviations fit between the process mean and the specification limit.
Details: Cpk is crucial in quality control for steel manufacturing, helping to ensure products meet minimum strength or composition requirements. Higher Cpk values indicate better process capability.
Tips: Enter the process mean, lower specification limit, and standard deviation. All values must use consistent units. Standard deviation must be greater than zero.
Q1: What is a good Cpk value for steel production?
A: Generally, Cpk ≥ 1.33 is acceptable, with ≥ 1.67 preferred for critical applications.
Q2: How is this different from two-sided Cpk?
A: One-sided Cpk evaluates capability against a single limit, while two-sided considers both upper and lower limits.
Q3: When should one-sided Cpk be used?
A: When only one specification limit is relevant (e.g., minimum yield strength in steel).
Q4: What if my Cpk is negative?
A: A negative Cpk indicates the process mean is below the LSL, meaning non-conforming product.
Q5: How many samples are needed for reliable Cpk?
A: Typically ≥ 30 measurements for stable estimates, though more may be needed for highly variable processes.