The image above represents probability of glass fracturing. To calculate probability of glass fracturing, three essential parameters are needed and these parameters are Scaling Factor (σo), Fracture Strength of Glass (σ) and Weibull Distribution Modulus (m).
The formula for calculating probability of glass fracturing:
P = 1 – exp[-(σ / σo)m]
Where:
P = Probability of Glass Fracturing
σo = Scaling Factor
σ = Fracture Strength of Glass
m = Weibull Distribution Modulus
Let’s solve an example;
Find the probability of glass fracturing when the scaling factor is 24, the fracture strength of glass is 10 and the weibull distribution modulus is 8.
This implies that;
σo = Scaling Factor = 24
σ = Fracture Strength of Glass = 10
m = Weibull Distribution Modulus = 8
P = 1 – exp[-(σ / σo)m]
So, P = 1 – exp [-(10 / 24)8]
P = 1 – exp [-(0.416)8]
P = 1 – exp [-0.0009]
That is, P = 1 – 0.999
P = 0.0009
Therefore, the probability of glass fracturing is 0.0009.
Read more:Â How to Calculate and Solve for Batch Calculation Factor | Glass Making Technology
How to Calculate the Probability of Glass Fracturing | Weibull Statistics Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the probability of glass fracturing.
To get the answer and workings of the probability of glass fracturing using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
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You can also try the demo version via https://www.nickzom.org/calculator
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Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Glass Making Technology under Materials and Metallurgical
Now, Click on Probability of Glass Fracturing under Glass Making Technology
The screenshot below displays the page or activity to enter your values, to get the answer for the probability of glass fracturing according to the respective parameters which is the Scaling Factor (σo), Fracture Strength of Glass (σ) and Weibull Distribution Modulus (m).
Now, enter the value appropriately and accordingly for the parameter as required by the Scaling Factor (σo) is 24, Fracture Strength of Glass (σ) is 10 and Weibull Distribution Modulus (m) is 8.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the probability of glass fracturing and presents the formula, workings and steps too.
