The image above represents modulus of elasticity.

To compute for the relationship between modulus of elasticity on volume fraction porosity, two essential parameters are needed and these are **Modulus of Elasticity of Non Porous Material (E _{o})** and

**Volume Fraction Porosity (P).**

The formula for calculating the modulus of elasticity:

E = E_{o}(1 – 1.9P + 0.9P²)

Where:

E = Modulus of Elasticity

E_{o} = Modulus of Elasticity of Non Porous Material.

P = Volume Fraction Porosity

Let’s solve an example;

Find the modulus of elasticity when the modulus of elasticity of non porous material is 12 and volume fraction porosity is 22.

This implies that;

E_{o} = Modulus of Elasticity of Non Porous Material = 12

P = Volume Fraction Porosity = 22

E = E_{o}(1 – 1.9P + 0.9P²)

E = (12)(1 – 1.9(22) + 0.9(22)²)

E = (12)(1 – (41.8) + 0.9(484))

E = (12)(1 – (41.8) + (435.6))

E = (12)(394.8)

E = 4737.6

Therefore, the **modulus of elasticity **is **4737.6 Pa.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the modulus of elasticity.

To get the answer and workings of the modulus of elasticity using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

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You can also try the **demo **version via https://www.nickzom.org/calculator

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Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Materials & Metallurgical**** **under **Engineering****.**

Now, Click on **Ceramics**** **under **Material & Metallurgical**

Now, Click on **Relationship Between Modulus of Elasticity on Volume Fraction Porosity**** **under **Ceramics**

The screenshot below displays the page or activity to enter your values, to get the answer for the modulus of elasticity according to the respective parameters which are the **Modulus of Elasticity of Non Porous Material (E _{o})** and

**Volume Fraction Porosity (P).**

Now, enter the values appropriately and accordingly for the parameters as required by the **Modulus of Elasticity of Non Porous Material (E _{o})** is

**12**and

**Volume Fraction Porosity (P)**is

**22**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator**– The Calculator Encyclopedia solves for the modulus of elasticity and presents the formula, workings and steps too.