Data Input
Preset
Failure Time Data
Comma-separated (max 20 pts)
Unit: hours / days / cycles (arbitrary)
Time Unit
Estimation Results
Enter data and run analysis.
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Shape Parameter β
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Scale Parameter η
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B10 Life
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MTTF
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B50 Life (Median)
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R(η) = 63.2% Point
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Failure Mode
Theory
Weibull distribution PDF, CDF, and reliability function:
$$f(t)=\frac{\beta}{\eta}\left(\frac{t}{\eta}\right)^{\beta-1}\exp\!\left[-\left(\frac{t}{\eta}\right)^\beta\right]$$ $$F(t)=1-\exp\!\left[-\left(\frac{t}{\eta}\right)^\beta\right],\quad R(t)=\exp\!\left[-\left(\frac{t}{\eta}\right)^\beta\right]$$Hazard rate: $\lambda(t)=\dfrac{\beta}{\eta}\!\left(\dfrac{t}{\eta}\right)^{\beta-1}$
MTTF: $\eta\,\Gamma\!\left(1+\dfrac{1}{\beta}\right)$, Median rank: $F_i=\dfrac{i-0.3}{n+0.4}$
CAE Integration: Statistical processing of FEM fatigue analysis results / Accelerated life test data analysis / Rolling bearing L10 life calculation (ISO 281) / Applicable as failure rate input for FMEA and RBD.