Weibull Analysis Calculator
Calculate reliability, hazard rate, and B-life from Weibull distribution parameters
Weibull Analysis Calculator
β < 1: infant mortality | β = 1: random | β > 1: wear-out
Time at which 63.2% of units have failed
Guide to Weibull Distribution
What is Weibull Analysis?
The Weibull distribution is the most widely used distribution in reliability engineering. Unlike the simpler exponential distribution (constant failure rate), Weibull can model increasing, decreasing, or constant failure rates — making it suitable for real-world components.
R(t) = e^(-(t/η)^β)Shape Parameter (β) Interpretation
Typical β Values by Component
| Component | β Range | Failure Mode |
|---|---|---|
| Electronics (ICs) | 0.5 – 1.0 | Infant mortality → random |
| Bearings | 1.5 – 2.5 | Fatigue wear-out |
| Belts / Seals | 2.0 – 3.0 | Degradation wear-out |
| Gears | 2.0 – 5.0 | Tooth fatigue |
| Corrosion | 3.0 – 6.0 | Progressive degradation |
FAQ
How do I get β and η from field data?
Plot failure times on Weibull probability paper (or use Maximum Likelihood Estimation). The slope gives β and the interception gives η. Minimum recommended data: 20+ failure times for reliable parameter estimates.
What is B10 life?
B10 life is the time at which 10% of units have failed (R = 90%). It is the most common reliability warranty specification. B1 life (1% failure) is used for safety-critical components.