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

July 23, 2021 Loveth Idoko

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 = ^σ_s/_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 = ^σ_s/ _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.

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

N_c = ^σ_s / _{σ_c}

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 = ^σ_s / _{σ_c}
That is, N_c = ²⁰ / ₂
N_c = 10

Therefore, the number of effective spring coils is 10.

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_c) is 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.