sci.Weibull-failure-reliability Calculator
Calculates Weibull probability of failure F(t) = 1 − exp(−(t/η)^β) and reliability R(t) = 1 − F(t) from shape β and scale η parameters. β < 1 = early failure (infant mortality); β = 1 = random failure (exponential); β > 3 = wear-out failure — bearing fatigue follows Weibull with β ≈ 1.5–3.5.
Inputs
- T Hr
- Duration of the process. Make sure units match the rate inputs (seconds, minutes, or hours).
- Eta Hr
- Reference formula or conversion factor shown for context.
- Beta
- Reference formula or conversion factor shown for context.
Results
- reliability R(t)
- Reference formula or conversion factor shown for context.
- unreliability F(t) — cumulative failure %
- The value at the specified point or condition.
- hazard (instantaneous failure) rate h(t)
- The value at the specified point or condition.
- MTTF (approximate)
- The value at the specified point or condition.
- R(t) = e^(−(t/η)^β)
- Reference formula or conversion factor shown for context.
- β interpretation
- Qualitative summary of what the computed numbers mean in practical terms.
weibull reliability rate failure characteristic