To calculate the Weibull Modulus (\(WM\)):
\[ WM = \frac{\ln(-\ln(1 - F))}{\ln\left(\frac{\eta}{\beta}\right)} \]
Where:
The Weibull modulus is a parameter that describes the variability of material strength or life data in reliability engineering. It is derived from the Weibull distribution, which is a probability distribution used to model the time until the first failure of a piece of equipment or a material. A higher Weibull modulus indicates less variability and more reliability of the material or product.
Let's assume the following values:
Using the formula:
\[ WM = \frac{\ln(-\ln(1 - 0.2))}{\ln\left(\frac{1000}{200}\right)} \approx -0.932 \]
The Weibull Modulus is approximately -0.932.
