# How to Calculate and Solve for Deflection of Coil of Spring | Material Selection

**Last Updated on May 7, 2024**

The image above represents deflection of coil of spring. To calculate deflection of coil of spring, two essential parameters are needed and these parameters are **Total Spring Deflection (σ _{s})** and

**Number of Effective Spring Coils (N**

_{c}).**The formula for calculating deflection of coil of spring:**

σ_{c} = ^{σs}/_{Nc}

Where:

σ_{c} = Deflection of Coil of Spring (Nc)

σ_{s} = Total Spring Deflection

N_{c} = Number of Effective Spring Coils

Let’s solve an example;

Find the deflection of coil of spring when the total spring deflection is 24 and the number of effective spring coils is 12.

This implies that;

σ_{s} = Total Spring Deflection = 24

N_{c} = Number of Effective Spring Coils = 12

σ_{c} = ^{σs }/ _{Nc}

That is, σ_{c} = ^{24}/_{12}

σ_{c} = 2

Therefore, the **deflection of coil of spring **is **2 m.**

**Calculating the Total Spring Deflection when the Deflection of Coil of Spring and the Number of Effective Spring Coils are Given**

σ_{s} = σ_{c} x N_{c}

Where;

σ_{s} = Total Spring Deflection

σ_{c} = Deflection of Coil of Spring (Nc)

N_{c} = Number of Effective Spring Coils

Let’s solve an example;

Find the total spring deflection when the deflection of coil of spring is 10 and the number of effective spring coils is 5.

This implies that;

σ_{c} = Deflection of Coil of Spring (Nc) = 10

N_{c} = Number of Effective Spring Coils = 5

σ_{s} = σ_{c} x N_{c}

Then, σ_{s} = 10 x 5

σ_{s} = 50

Therefore, the **total spring deflection **is **50.**

Read more: How to Calculate and Solve for Tensile Strength of Alloy of Spring | Material Selection

**Calculating the Number of Effective Spring Coils when the Deflection of Coil of Spring and the Total Spring Deflection are Given**

N_{c} = ^{σs} / _{σc}

Where;

N_{c} = Number of Effective Spring Coils

σ_{c} = Deflection of Coil of Spring (Nc)

σ_{s} = Total Spring Deflection

Let’s solve an example;

Find the number of effective spring coils when the deflection of coil of spring is 2 and the total spring deflection is 20.

This implies that;

σ_{c} = Deflection of Coil of Spring (Nc) = 2

σ_{s} = Total Spring Deflection = 20

N_{c} = ^{σs} / _{σc}

That is, N_{c} = ^{20} / _{2}

N_{c} = 10

Therefore, the **number of effective spring coils **is **10.**

Read more: How to Calculate and Solve for Deflection of Coil of Spring | Material Selection

**How to Calculate Deflection of Coil of Spring in Material Selection With Nickzom Calculator**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the deflection of coil of spring

To get the answer and workings of the deflection of coil of spring 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 **Material Selection**** **under **Materials and Metallurgical**

Now, Click on **Deflection of Coil of Spring **under **Material Selection**

The screenshot below displays the page or activity to enter your values, to get the answer for the deflection of coil of spring according to the respective parameter which is the **Total Spring Deflection (σ _{s})** and

**Number of Effective Spring Coils (N**

_{c}).Now, enter the values appropriately and accordingly for the parameters as required by the **Total Spring Deflection (σ _{s}) **is

**24**and

**Number of Effective Spring Coils (N**is

_{c})**12**.

Finally, Click on Calculate

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