Diameter of Spring Wire given Deflection in Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Spring Wire = ((8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of Rigidity of Spring Wire*Deflection of Spring))^(1/4)
d = ((8*P*(D^3)*Na)/(G*δ))^(1/4)
This formula uses 6 Variables
Variables Used
Diameter of Spring Wire - (Measured in Meter) - Diameter of Spring Wire is the diameter of the wire of which a spring is made.
Axial Spring Force - (Measured in Newton) - Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.
Mean Coil Diameter of Spring - (Measured in Meter) - The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.
Active Coils in Spring - Active Coils in Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the spring. All of the coils that aren't on the ends of a spring.
Modulus of Rigidity of Spring Wire - (Measured in Pascal) - Modulus of rigidity of spring wire is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how much the length of a spring changes when force is applied or released.
STEP 1: Convert Input(s) to Base Unit
Axial Spring Force: 138.2 Newton --> 138.2 Newton No Conversion Required
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 Meter (Check conversion ​here)
Active Coils in Spring: 10 --> No Conversion Required
Modulus of Rigidity of Spring Wire: 86400 Newton per Square Millimeter --> 86400000000 Pascal (Check conversion ​here)
Deflection of Spring: 23.32125 Millimeter --> 0.02332125 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = ((8*P*(D^3)*Na)/(G*δ))^(1/4) --> ((8*138.2*(0.036^3)*10)/(86400000000*0.02332125))^(1/4)
Evaluating ... ...
d = 0.004
STEP 3: Convert Result to Output's Unit
0.004 Meter -->4 Millimeter (Check conversion ​here)
FINAL ANSWER
4 Millimeter <-- Diameter of Spring Wire
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
Verifier Image
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1900+ more calculators!

Stress and Deflections in Springs Calculators

Diameter of Spring Wire given Resultant Stress in Spring
​ LaTeX ​ Go Diameter of Spring Wire = ((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3)
Mean Coil Diameter given Resultant Stress in Spring
​ LaTeX ​ Go Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Axial Spring Force)
Force acting on Spring given Resultant Stress
​ LaTeX ​ Go Axial Spring Force = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring)
Resultant Stress in Spring
​ LaTeX ​ Go Shear Stress in Spring = Wahl Factor of Spring*(8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Diameter of Spring Wire^3)

Diameter of Spring Wire given Deflection in Spring Formula

​LaTeX ​Go
Diameter of Spring Wire = ((8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of Rigidity of Spring Wire*Deflection of Spring))^(1/4)
d = ((8*P*(D^3)*Na)/(G*δ))^(1/4)

Define a Mechanical Spring?

A metal wire spring that functions in a spring mechanism that compresses, extends,rotates, slides, pulls and exerts force when an equal or greater force is applied. A spring mechanism can exert pressure, rotational force or pulling strength in a variety of ways.

How to Calculate Diameter of Spring Wire given Deflection in Spring?

Diameter of Spring Wire given Deflection in Spring calculator uses Diameter of Spring Wire = ((8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of Rigidity of Spring Wire*Deflection of Spring))^(1/4) to calculate the Diameter of Spring Wire, Diameter of Spring Wire given Deflection in Spring formula is defined as a measure of the diameter of a spring wire based on the deflection of the spring, which is critical in determining the spring's stiffness and load-carrying capacity in mechanical systems. Diameter of Spring Wire is denoted by d symbol.

How to calculate Diameter of Spring Wire given Deflection in Spring using this online calculator? To use this online calculator for Diameter of Spring Wire given Deflection in Spring, enter Axial Spring Force (P), Mean Coil Diameter of Spring (D), Active Coils in Spring (Na), Modulus of Rigidity of Spring Wire (G) & Deflection of Spring (δ) and hit the calculate button. Here is how the Diameter of Spring Wire given Deflection in Spring calculation can be explained with given input values -> 4000.483 = ((8*138.2*(0.036^3)*10)/(86400000000*0.02332125))^(1/4).

FAQ

What is Diameter of Spring Wire given Deflection in Spring?
Diameter of Spring Wire given Deflection in Spring formula is defined as a measure of the diameter of a spring wire based on the deflection of the spring, which is critical in determining the spring's stiffness and load-carrying capacity in mechanical systems and is represented as d = ((8*P*(D^3)*Na)/(G*δ))^(1/4) or Diameter of Spring Wire = ((8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of Rigidity of Spring Wire*Deflection of Spring))^(1/4). Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction, The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring, Active Coils in Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the spring. All of the coils that aren't on the ends of a spring, Modulus of rigidity of spring wire is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is & Deflection of Spring is how much the length of a spring changes when force is applied or released.
How to calculate Diameter of Spring Wire given Deflection in Spring?
Diameter of Spring Wire given Deflection in Spring formula is defined as a measure of the diameter of a spring wire based on the deflection of the spring, which is critical in determining the spring's stiffness and load-carrying capacity in mechanical systems is calculated using Diameter of Spring Wire = ((8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of Rigidity of Spring Wire*Deflection of Spring))^(1/4). To calculate Diameter of Spring Wire given Deflection in Spring, you need Axial Spring Force (P), Mean Coil Diameter of Spring (D), Active Coils in Spring (Na), Modulus of Rigidity of Spring Wire (G) & Deflection of Spring (δ). With our tool, you need to enter the respective value for Axial Spring Force, Mean Coil Diameter of Spring, Active Coils in Spring, Modulus of Rigidity of Spring Wire & Deflection of Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Diameter of Spring Wire?
In this formula, Diameter of Spring Wire uses Axial Spring Force, Mean Coil Diameter of Spring, Active Coils in Spring, Modulus of Rigidity of Spring Wire & Deflection of Spring. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Spring Wire = ((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3)
  • Diameter of Spring Wire = ((Stiffness of Spring*8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/(Modulus of Rigidity of Spring Wire))^(1/4)
  • Diameter of Spring Wire = (Shear Stress Correction Factor of Spring-1)*Mean Coil Diameter of Spring/.5
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!