Weibull Modulus Calculator

Calculate Weibull Modulus





Formula

To calculate the Weibull Modulus (\(WM\)):

\[ WM = \frac{\ln(-\ln(1 - F))}{\ln\left(\frac{\eta}{\beta}\right)} \]

Where:

What is Weibull Modulus?

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.

Example Calculation

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.