The critical fibre strength for composite is illustrated by the image below. To calculate critical fibre strength for composite, three essential parameters are needed and these parameters are **Stress in Matrix at Fibre Failure (Ïƒ’ _{m}), Fibre Critical Tensile Strength (Ïƒ*_{f})** and

**Volume Fraction of the Fibre (V**

_{f}).**The formula for calculating critical fibre strength for composite:**

Ïƒ*_{a}Â = Ïƒ’_{m}(1 – V_{f}) + Ïƒ*_{f}V_{f}

Where:

Ïƒ*_{a}Â = Critical Fibre Strength for Composite

Ïƒ’_{m}Â = Stress in Matrix at Fibre Failure

Ïƒ*_{f}Â = Fibre Critical Tensile Strength

V_{f}Â = Volume Fraction of the Fibre

Let’s solve an example;

Find the critical fibre strength for composite when the stress in matrix at fibre failure is 12, the fibre critical tensile strength is 10 and the volume fraction of the fibre is 9.

This implies that;

Ïƒ’_{m} = Stress in Matrix at Fibre Failure = 12

Ïƒ*_{f} = Fibre Critical Tensile Strength = 10

V_{f} = Volume Fraction of the Fibre = 9

Ïƒ*_{a}Â = Ïƒ’_{m}(1 – V_{f}) + Ïƒ*_{f}V_{f}

Ïƒ*_{a} = 12(1 – 9) + (10)(9)

That is, Ïƒ*_{a} = 12(-8) + (90)

Ïƒ*_{a} = (-96) + (90)

Ïƒ*_{a} = -6

Therefore, theÂ **critical fibre strength for compositeÂ **isÂ **-6 Pa.**

Read more:Â How to Calculate and Solve for Critical Fibre Length | Composites

**How to Calculate Critical Fibre Strength for Composite Using Nickzom Calculator**

Nickzom Calculator â€“Â **The Calculator Encyclopedia** is capable of calculating the critical fibre strength for composite.

To get the answer and workings of the critical fibre strength for composite using the **Nickzom Calculator â€“ The Calculator Encyclopedia.Â **First, you need to obtain the app.

You can get this app via any of these means:

**Web**Â â€“Â https://www.nickzom.org/calculator-plus

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To get access to theÂ **professionalÂ **version via web, you need toÂ **register**Â andÂ **subscribeÂ **to have utter access to all functionalities.

You can also try theÂ **demoÂ **version viaÂ https://www.nickzom.org/calculator

**Android (Paid)**Â â€“Â https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)**Â â€“Â https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)**Â â€“Â https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to theÂ **Calculator Map,Â **then click onÂ **Materials and MetallurgicalÂ **underÂ **Engineering****.**

Now, Click on **Composites****Â **underÂ **Materials and Metallurgical**

Now, Click onÂ **Critical Fibre Strength for Composite**Â under **Composites**

The screenshot below displays the page or activity to enter your values, to get the answer for the critical fibre strength for composite according to the respective parameter which is the **Stress in Matrix at Fibre Failure (Ïƒ’ _{m}), Fibre Critical Tensile Strength (Ïƒ*_{f})** and

**Volume Fraction of the Fibre (V**

_{f}).Now, enter the values appropriately and accordingly for the parameters as required by the **Stress in Matrix at Fibre Failure (Ïƒ’ _{m})** is

**12**,

**Fibre Critical Tensile Strength (Ïƒ***is

_{f})Â**10**Â and

**Volume Fraction of the Fibre (V**is

_{f})**9**.

Finally, Click on Calculate

As you can see fromÂ the screenshot above,Â **Nickzom Calculator**â€“ The Calculator Encyclopedia solves for the critical fibre strength for composite and presents the formula, workings and steps too.