The randomly oriented composite modulus of elasticity is illustrated by the image below. To calculate randomly oriented composite modulus of elasticity, five essential parameters are needed and these parameters are **Fibre Efficiency Parameter (K), Elastic Modulus of the Fibre (E _{f}), Elastic Modulus of the Matrix (E_{m}), Volume Fraction of the Fibre (V_{f})** and

**Volume Fraction of the Matrix (V**

_{m}).**The formula for calculating randomly oriented composite modulus of elasticity:**

E = KE_{f}V_{f}Â + E_{m}V_{m}

Where:

E = Randomly Oriented Composite Modulus of Elasticity

K = Fibre Efficiency Parameter

E_{f}Â = Elastic Modulus of the Fibre

E_{m}Â = Elastic Modulus of the Matrix

V_{f}Â = Volume Fraction of the Fibre

V_{m}Â = Volume Fraction of the Matrix

Let’s solve an example;

Find the randomly oriented composite modulus of elasticity when the fibre efficiency parameter is 14, the elastic modulus of the fibre is 10, the elastic modulus of the matrix is 16, the volume fraction of the fibre is 12 and the volume fraction of the matrix is 8.

This implies that;

K = Fibre Efficiency Parameter = 14

E_{f} = Elastic Modulus of the Fibre = 10

E_{m} = Elastic Modulus of the Matrix = 16

V_{f} = Volume Fraction of the Fibre = 12

V_{m} = Volume Fraction of the Matrix = 8

E = KE_{f}V_{f}Â + E_{m}V_{m}

E = (14)(10)(12) + (16)(8)

Then, E = (1680) + (128)

E = 1808

Therefore, theÂ **randomly oriented composite modulus of elasticity** isÂ **1808 Pa.**

Read more:Â How to Calculate and Solve for Ratio of Load of Fibre to Matrix | Composites

**How to Calculate Randomly Oriented Composite Modulus of Elasticity With Nickzom Calculator**

Nickzom Calculator â€“ **The Calculator Encyclopedia** is capable of calculating the randomly oriented composite modulus of elasticity.

To get the answer and workings of the randomly oriented composite modulus of elasticity 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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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 **Randomly Oriented Composite Modulus of Elasticity**Â under **Composites**

The screenshot below displays the page or activity to enter your values, to get the answer for the randomly oriented composite modulus of elasticity according to the respective parameter which is the **Fibre Efficiency Parameter (K), Elastic Modulus of the Fibre (E _{f}), Elastic Modulus of the Matrix (E_{m}), Volume Fraction of the Fibre (V_{f})** and

**Volume Fraction of the Matrix (V**

_{m}).Now, enter the values appropriately and accordingly for the parameters as required by the **Fibre Efficiency Parameter (K)** is **14**,** Elastic Modulus of the Fibre (E _{f})** is

**10**,

**Elastic Modulus of the Matrix (E**is

_{m})**16**,

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

_{f})Â**12**and

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

_{m})**8**.

Finally, Click on Calculate

As you can see fromÂ the screenshot above,Â **Nickzom Calculator**â€“ The Calculator Encyclopedia can calculate randomly oriented composite modulus of elasticity and presents the formula, workings and steps too.