Diameter of Spring Wire given Resultant Stress in Spring Calculator

✖Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.ⓘ Wahl Factor of Spring [K]			+10% -10%
✖Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.ⓘ Axial Spring Force [P]			+10% -10%
✖The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.ⓘ Mean Coil Diameter of Spring [D]			+10% -10%
✖Shear Stress in Spring is the force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in Spring [𝜏]			+10% -10%

✖Diameter of Spring Wire is the diameter of the wire of which a spring is made.ⓘ Diameter of Spring Wire given Resultant Stress in Spring [d]

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Diameter of Spring Wire given Resultant Stress in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Spring Wire = ((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3)
d = ((K*8*P*D)/(pi*𝜏))^(1/3)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Wahl Factor of Spring - Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.
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.
Shear Stress in Spring - (Measured in Pascal) - Shear Stress in Spring is the force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress.

STEP 1: Convert Input(s) to Base Unit

Wahl Factor of Spring: 1.162 --> No Conversion Required
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)
Shear Stress in Spring: 230 Newton per Square Millimeter --> 230000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = ((K*8*P*D)/(pi*𝜏))^(1/3) --> ((1.162*8*138.2*0.036)/(pi*230000000))^(1/3)

Evaluating ... ...

d = 0.0040001503651821

STEP 3: Convert Result to Output's Unit

0.0040001503651821 Meter -->4.0001503651821 Millimeter (Check conversion here)

FINAL ANSWER

4.0001503651821 ≈ 4.00015 Millimeter <-- Diameter of Spring Wire

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 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 Resultant Stress in Spring Formula

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)
d = ((K*8*P*D)/(pi*𝜏))^(1/3)

Define a Spring?

A spring is an elastic object that stores mechanical energy. Springs are typically made of spring steel. There are many spring designs. In everyday use, the term often refers to coil springs. The rate or spring constant of a spring is the change in the force it exerts, divided by the change in deflection of the spring.

How to Calculate Diameter of Spring Wire given Resultant Stress in Spring?

Diameter of Spring Wire given Resultant Stress in Spring calculator uses Diameter of Spring Wire = ((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3) to calculate the Diameter of Spring Wire, Diameter of Spring Wire given Resultant Stress in Spring formula is defined as a measure of the diameter of a spring wire based on the resultant stress it can withstand, providing a crucial parameter in spring design and engineering applications where stress and deflections are critical factors. Diameter of Spring Wire is denoted by d symbol.

How to calculate Diameter of Spring Wire given Resultant Stress in Spring using this online calculator? To use this online calculator for Diameter of Spring Wire given Resultant Stress in Spring, enter Wahl Factor of Spring (K), Axial Spring Force (P), Mean Coil Diameter of Spring (D) & Shear Stress in Spring (𝜏) and hit the calculate button. Here is how the Diameter of Spring Wire given Resultant Stress in Spring calculation can be explained with given input values -> 4000.15 = ((1.162*8*138.2*0.036)/(pi*230000000))^(1/3).

FAQ

What is Diameter of Spring Wire given Resultant Stress in Spring?

Diameter of Spring Wire given Resultant Stress in Spring formula is defined as a measure of the diameter of a spring wire based on the resultant stress it can withstand, providing a crucial parameter in spring design and engineering applications where stress and deflections are critical factors and is represented as d = ((K*8*P*D)/(pi*𝜏))^(1/3) or Diameter of Spring Wire = ((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3). Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil, 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 & Shear Stress in Spring is the force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress.

How to calculate Diameter of Spring Wire given Resultant Stress in Spring?

Diameter of Spring Wire given Resultant Stress in Spring formula is defined as a measure of the diameter of a spring wire based on the resultant stress it can withstand, providing a crucial parameter in spring design and engineering applications where stress and deflections are critical factors is calculated using Diameter of Spring Wire = ((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3). To calculate Diameter of Spring Wire given Resultant Stress in Spring, you need Wahl Factor of Spring (K), Axial Spring Force (P), Mean Coil Diameter of Spring (D) & Shear Stress in Spring (𝜏). With our tool, you need to enter the respective value for Wahl Factor of Spring, Axial Spring Force, Mean Coil Diameter of Spring & Shear Stress in 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 Wahl Factor of Spring, Axial Spring Force, Mean Coil Diameter of Spring & Shear Stress in Spring. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)
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

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