Enter the characteristic life, failure probability, and shape parameter into the calculator to determine the Weibull modulus. This calculator helps in reliability engineering to assess the life data analysis of products.
Weibull Modulus Formula
The following formula is used to calculate the Weibull modulus.
WM = ln(-ln(1 - F)) / ln(η / β)
Variables:
- WM is the Weibull modulus
- F is the failure probability
- η (eta) is the characteristic life
- β (beta) is the shape parameter
To calculate the Weibull modulus, take the natural logarithm of the negative natural logarithm of one minus the failure probability, and divide it by the natural logarithm of the characteristic life divided by the shape parameter.
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.
How to Calculate Weibull Modulus?
The following steps outline how to calculate the Weibull Modulus.
- First, determine the characteristic life (η) of the product.
- Next, determine the failure probability (F) of the product.
- Next, determine the shape parameter (β) of the Weibull distribution.
- Next, gather the formula from above = WM = ln(-ln(1 – F)) / ln(η / β).
- Finally, calculate the Weibull Modulus (WM).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Characteristic life (η) = 1000 hours
Failure probability (F) = 0.63
Shape parameter (β) = 500 hours
