The image above represents modulus of rupture.

To compute for modulus of rupture, three essential parameters are needed and these parameters are **Bending Moment (M), Distance (c) **and **Moment of Inertia (I).
**

The formula for calculating modulus of rapture:

σ = ^{Mc} / _{I}

Where:

σ = Modulus of Rupture

M = Bending Moment

c = Distance

I = Moment of Inertia

Let’s solve an example;

Find the modulus of rupture when the bending moment is 22, the distance is 10 and the moment of inertia is 14.

This implies that;

M = Bending Moment = 22

c = Distance = 10

I = Moment of Inertia = 14

σ = ^{Mc} / _{I}

σ = ^{22(10)} / _{14}

σ = ^{220} / _{14}

σ = 15.71

Therefore, the **modulus of rupture **is **15.71 Pa.**

**Calculating the Bending Moment when the Modulus of Rupture, the Distance and the Moment of Inertia is Given.**

M = ^{σ x I} / _{c}

Where;

M = Bending Moment

σ = Modulus of Rupture

c = Distance

I = Moment of Inertia

Let’s solve an example;

Find the bending moment when the modulus of rupture is 22, the distance is 8 and the moment of inertia is 2.

This implies that;

σ = Modulus of Rupture = 22

c = Distance = 8

I = Moment of Inertia = 2

M = ^{σ x I} / _{c}

M = ^{22 x 2} / _{8}

M = ^{44} / _{8}

M = 5.5

Therefore, the **bending moment **is **5.5.**

**Calculating the Distance when the Modulus of Rupture, the Bending Moment and the Moment of Inertia is Given.**

c = ^{σ x I} / _{M}

Where;

c = Distance

σ = Modulus of Rupture

M = Bending Moment

I = Moment of Inertia

Let’s solve an example;

Find the distance when the modulus of rupture is 12, the bending moment is 4 and the moment of inertia is 16.

This implies that;

σ = Modulus of Rupture = 12

M = Bending Moment = 4

I = Moment of Inertia = 16

c = ^{σ x I} / _{M}

c = ^{12 x 16} / _{4}

c = ^{192} / _{4}

c = 48

Therefore, the **distance **is **48.**

**Calculating the Moment of Inertia when the Modulus of Rupture, the Bending Moment and the Distance is Given.**

I = ^{Mc} / _{σ}

Where;

I = Moment of Inertia

σ = Modulus of Rupture

M = Bending Moment

c = Distance

Let’s solve an example;

Find the moment of inertia when the modulus of rupture is 30, the bending moment is 10 and the distance is 3.

This implies that;

σ = Modulus of Rupture = 30

M = Bending Moment = 10

c = Distance = 3

I = ^{Mc} / _{σ}

I = ^{10 x 3} / _{30}

I = ^{30} / _{30}

I = 1

Therefore, the **moment of inertia **is **1.**

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

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

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

Now, Click on **Fracture Mechanics **under **Materials and Metallurgical**

Now, Click on **Modulus of Rupture **under **Fracture Mechanics**

The screenshot below displays the page or activity to enter your values, to get the answer for the modulus of rupture according to the respective parameters which is the **Bending Moment (M), Distance (c) **and **Moment of Inertia (I).**

Now, enter the value appropriately and accordingly for the parameter as required by the **Bending Moment (M)** is **22**,** Distance (c)** is **10 **and **Moment of Inertia (I)** is **14**.

Finally, Click on Calculate

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