How to Calculate and Solve for Deflection of Coil of Spring | Material Selection
Last Updated on July 23, 2021
The image above represents deflection of coil of spring.
To compute for deflection of coil of spring, four essential parameters are needed and these parameters are Force (F), Centre to Centre Diameter of Spring (D), Cross-section Diameter of Spring (d) and Shear Modulus (G).
The formula for calculating deflection of coil of spring:
σc = 8FD³/d4G
Where:
σc = Deflection of Coil of Spring (G)
F = Force
D = Centre to Centre Diameter of Spring
d = Cross-section Diameter of Spring
G = Shear Modulus
Let’s solve an example;
Find the deflection of coil of spring when the force is 8, the centre to centre diameter of spring is 2, the cross-section diameter of spring is 4 and the shear modulus is 6.
This implies that;
F = Force = 8
D = Centre to Centre Diameter of Spring = 2
d = Cross-section Diameter of Spring = 4
G = Shear Modulus = 6
σc = 8FD³/d4G
σc = 8(8)(2)³/(4)4(6)
σc = 8(8)(8)/(256)(6)
σc = 512/1536
σc = 0.33
Therefore, the deflection of coil of spring is 0.33 m.
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 Force (F), Centre to Centre Diameter of Spring (D), Cross-section Diameter of Spring (d) and Shear Modulus (G).
Now, enter the values appropriately and accordingly for the parameters as required by the Force (F) is 8, Centre to Centre Diameter of Spring (D) is 2, Cross-section Diameter of Spring (d) is 4 and Shear Modulus (G) is 6.
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.