The image above represents resiliency.

To compute for resiliency, two essential parameters are needed and these parameters are **Maximum Stress (σ _{max})** and

**Young’s Modulus of Elasticity (E).**

The formula for calculating resiliency:

R = ^{σmax²} / _{2E}

Where:

R = Resiliency

σ_{max} = Maximum Stress

E = Young’s Modulus of Elasticity

Let’s solve an example;

Find the resiliency when the maximum stress is 32 and the young’s modulud of elasticity is 12.

This implies that;

σ_{max} = Maximum Stress = 32

E = Young’s Modulus of Elasticity = 12

R = ^{σmax²} / _{2E}

R = ^{32²} / _{2(12)}

R = ^{1024} / _{24}

R = 42.67

Therefore, the **resiliency **is **42.67 Pa.**

**Calculating the Maximum Stress when the Resiliency and the Young’s Modulus of Elasticity is Given.**

σ_{max} = **√**R x 2E

Where;

σ_{max} = Maximum Stress

R = Resiliency

E = Young’s Modulus of Elasticity

Let’s solve an example;

Find the maximum stress when the resiliency is 15 and the young’s modulus of elasticity is 3.

This implies that;

R = Resiliency = 15

E = Young’s Modulus of Elasticity = 3

σ_{max} = **√**R x 2E

σ_{max} = **√**15 x 2 x 3

σ_{max} = **√**90

σ_{max} = 9.48

Therefore, the **maximum stress **is **9.48.**

**Calculating the Young’s Modulus of Elasticity when the Resiliency and the Maximum Stress is Given.**

E = ^{σmax²} / _{R X 2}

Where;

E = Young’s Modulus of Elasticity

R = Resiliency

σ_{max} = Maximum Stress

Let’s solve an example;

Find the young’s modulus of elasticity when the resiliency is 18 and the maximum stress is 48.

This implies that;

R = Resiliency = 18

σ_{max} = Maximum Stress = 48

E = ^{σmax²} / _{R X 2}

E = ^{48²} / _{18 X 2}

E = ^{2304} / _{36}

E = 64

Therefore, the **young’s modulus of elasticity **is **64.**

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

To get the answer and workings of the resiliency 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 2,000 **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 and Metallurgical **under **Engineering****.**

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

Now, Click on **Resiliency **under **Fracture Mechanics**

The screenshot below displays the page or activity to enter your values, to get the answer for the resiliency according to the respective parameters which is the **Maximum Stress (σ _{max})** and

**Young’s Modulus of Elasticity (E).**

Now, enter the value appropriately and accordingly for the parameter as required by the **Maximum Stress (σ _{max}) **is

**32**and

**Young’s Modulus of Elasticity (E)**is

**12**.

Finally, Click on Calculate

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