The image above represents Flexural strength with relation to volume.

To compute for flexural strength with relation to volume, three essential parameters are needed and these parameters are **Initial Stress (σ _{o}), Constant (n)** and

**Volume fraction porosity (P).**

The formula for calculating flexural strength with relation to volume:

σ_{fs} = σ_{o }exp (-nP)

Where:

σ_{fs} = Flexural Strength

σ_{o} = Initial Stress

n = Constant

P = Volume Fraction Porosity

Let’s solve an example;

Find the flexural strength when the initial stress is 11, the constant is 8 and the volume fraction porosity is 22.

This implies that;

σ_{o} = Initial Stress = 11

n = Constant = 8

P = Volume Fraction Porosity = 22

σ_{fs} = σ_{o }exp (-nP)

σ_{fr} = (11)exp(-(8)(22))

σ_{fr} = (11)exp(-176)

σ_{fr} = (11)(3.665e-77)

σ_{fr} = 4.032e-76

Therefore, the **flexural strength **is **4.032e-76 Pa.**

**Calculating the Initial Stress when the Flexural Strength, the Constant and the Volume Fraction Porosity is Given.**

σ_{o} = ^{σfr} / _{exp (-nP)}

Where;

σ_{o} = Initial Stress

σ_{fs} = Flexural Strength

n = Constant

P = Volume Fraction Porosity

Let’s solve an example;

Find the initial stress when the flexural strength is 20, the constant is 10 and the volume fraction porosity is 8.

This implies that;

σ_{fs} = Flexural Strength = 20

n = Constant = 10

P = Volume Fraction Porosity = 8

σ_{o} = ^{σfr} / _{exp (-nP)}

σ_{o} = ^{20} / _{exp (-10 x 8)}

σ_{o} = ^{20} / _{exp (-80)}

σ_{o} = ^{20} / _{– 5.54e+34}

σ_{o} = – 3.61e-34

Therefore, the **initial stress **is **3.61e-34.**

**Calculating the Constant when the Flexural Strength, the Initial Stress and the Volume Fraction Porosity is Given.**

n = – (In ^{σfr} / _{σo}) x ^{1} / _{P}

Where;

n = Constant

σ_{fs} = Flexural Strength

σ_{o} = Initial Stress

P = Volume Fraction Porosity

Let’s solve an example;

Find the constant when the flexural strength is 30, the initial stress is 10 and volume fraction porosity is 20.

This implies that;

σ_{fs} = Flexural Strength = 30

σ_{o} = Initial Stress = 10

P = Volume Fraction Porosity = 20

n = – (In ^{σfr} / _{σo}) x ^{1} / _{P}

n = – (In ^{30} / _{10}) x ^{1} / _{20}

n = – (In 3) x 0.05

n = – 1.098 x 0.05

n = – 0.0549

Therefore, the **constant **is **– 0.0549.**

**Calculating the Volume Fraction Porosity when the Flexural Strength, the Initial Stress and Constant is Given.**

P = – (In ^{σfr} / _{σo}) x ^{1} / _{n}

Where;

P = Volume Fraction Porosity

σ_{fs} = Flexural Strength

σ_{o} = Initial Stress

n = Constant

Let’s solve an example;

Find the volume fraction porosity when the flexural strength is 40, the initial stress is 2 and the constant is 12.

This implies that;

σ_{fs} = Flexural Strength = 40

σ_{o} = Initial Stress = 2

n = Constant = 12

P = – (In ^{σfr} / _{σo}) x ^{1} / _{n}

P = – (In ^{40} / _{2}) x ^{1} / _{12}

P = – (In 20) x 0.05

P = – 2.99 x 0.05

P = – 0.1495

Therefore, the **volume fraction porosity **is **– 0.1495.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the flexural strength.

To get the answer and workings of the flexural strength 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

To get access to the **professional **version via web, you need to **register** and **subscribe **for** NGN 1,500 **per** annum** to have utter access to all functionalities.

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

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

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

**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 & Metallurgical**** **under **Engineering****.**

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

Now, Click on **Flexural Strength**** **under **Ceramics**

The screenshot below displays the page or activity to enter your values, to get the answer for the flexural strength according to the respective parameters which are the **Initial Stress (σ _{o}), Constant (n)** and

**Volume fraction porosity (P).**

Now, enter the values appropriately and accordingly for the parameters as required by the **Initial Stress (σ _{o})** is

**8**,

**Constant (n)**is

**11**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 flexural strength and presents the formula, workings and steps too.