Mean Coil Diameter given Resultant Stress in Spring Calculator

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✖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 [d]			+10% -10%
✖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 given Resultant Stress in Spring [D]

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Formula

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Mean Coil Diameter given Resultant Stress in Spring

Formula

`"D" = "𝜏"*(pi*"d"^3)/("K"*8*"P")`

Example

`"35.99594mm"="230N/mm²"*(pi*("4mm")^3)/("1.162"*8*"138.2N")`

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Mean Coil Diameter given Resultant Stress in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Stress in Spring: 230 Newton per Square Millimeter --> 230000000 Pascal (Check conversion here)
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
Wahl Factor of Spring: 1.162 --> No Conversion Required
Axial Spring Force: 138.2 Newton --> 138.2 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = 𝜏*(pi*d^3)/(K*8*P) --> 230000000*(pi*0.004^3)/(1.162*8*138.2)

Evaluating ... ...

D = 0.0359959404452951

STEP 3: Convert Result to Output's Unit

0.0359959404452951 Meter -->35.9959404452951 Millimeter (Check conversion here)

FINAL ANSWER

35.9959404452951 ≈ 35.99594 Millimeter <-- Mean Coil Diameter of Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Stress and Deflections in Springs » Mean Coil Diameter given Resultant Stress in Spring

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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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< 24 Stress and Deflections in Springs Calculators

Diameter of Spring Wire given Deflection in Spring

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)

Mean Coil Diameter given Deflection in Spring

Go Mean Coil Diameter of Spring = (Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Axial Spring Force*Active Coils in Spring))^(1/3)

Number of Active Coils given Deflection in Spring

Go Active Coils in Spring = (Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4)/(8*Axial Spring Force*(Mean Coil Diameter of Spring^3))

Modulus of Rigidity given Deflection in Spring

Go Modulus of rigidity of spring wire = (8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Deflection of Spring*Diameter of spring wire^4)

Deflection of Spring

Go Deflection of Spring = (8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of rigidity of spring wire*Diameter of spring wire^4)

Force Applied on Spring given Deflection in Spring

Go Axial Spring Force = Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)

Diameter of Spring Wire given Resultant Stress in Spring

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

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

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

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 Rate of Spring

Go 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)

Mean Coil Diameter given Rate of Spring

Go Mean Coil Diameter of Spring = (Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Stiffness of Spring*Active Coils in Spring))^(1/3)

Modulus of Rigidity given Rate of Spring

Go Modulus of rigidity of spring wire = Stiffness of Spring*(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/Diameter of spring wire^4

Rate of Spring

Go Stiffness of Spring = Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)

Stress Factor of Spring

Go Wahl Factor of Spring = ((4*Spring Index-1)/(4*Spring Index-4))+(0.615/Spring Index)

Shear Stress Correction Factor given Diameter of Spring Wire

Go Shear Stress Correction Factor of Spring = (1+(.5*Diameter of spring wire/Mean Coil Diameter of Spring))

Mean Coil diameter given Shear Stress Correction Factor

Go Mean Coil Diameter of Spring = 0.5*Diameter of spring wire/(Shear Stress Correction Factor of Spring-1)

Diameter of Spring Wire given Shear Stress Correction Factor

Go Diameter of spring wire = (Shear Stress Correction Factor of Spring-1)*Mean Coil Diameter of Spring/.5

Strain Energy Stored in Spring

Go Strain energy in spring = .5*Axial Spring Force*Deflection of Spring

Force Applied on Spring given Strain Energy Stored in Spring

Go Axial Spring Force = 2*Strain energy in spring/Deflection of Spring

Deflection of Spring given Strain Energy Stored

Go Deflection of Spring = 2*Strain energy in spring/Axial Spring Force

Rate of Spring given Deflection

Go Stiffness of Spring = Axial Spring Force/Deflection of Spring

Spring Index given Shear Stress Correction Factor

Go Spring Index = (0.5)/(Shear Stress Correction Factor of Spring-1)

Shear Stress Correction Factor

Go Shear Stress Correction Factor of Spring = (1+(.5/Spring Index))

Mean Coil Diameter given Resultant Stress in Spring Formula

Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Axial Spring Force)
D = 𝜏*(pi*d^3)/(K*8*P)

Define Stress Factor of the Spring?

The stiffness is defined as the load per unit deflection. In order to take into account the effect of direct shear and change in coil curvature a stress factor is defined, which is known as Wahl's factor.

How to Calculate Mean Coil Diameter given Resultant Stress in Spring?

Mean Coil Diameter given Resultant Stress in Spring calculator uses Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Axial Spring Force) to calculate the Mean Coil Diameter of Spring, The Mean Coil Diameter given Resultant Stress in Spring formula is defined as the average of the outer diameter of the spring and the inner diameter of the spring. Mean Coil Diameter of Spring is denoted by D symbol.

How to calculate Mean Coil Diameter given Resultant Stress in Spring using this online calculator? To use this online calculator for Mean Coil Diameter given Resultant Stress in Spring, enter Shear Stress in Spring (𝜏), Diameter of spring wire (d), Wahl Factor of Spring (K) & Axial Spring Force (P) and hit the calculate button. Here is how the Mean Coil Diameter given Resultant Stress in Spring calculation can be explained with given input values -> 35995.94 = 230000000*(pi*0.004^3)/(1.162*8*138.2).

FAQ

What is Mean Coil Diameter given Resultant Stress in Spring?

The Mean Coil Diameter given Resultant Stress in Spring formula is defined as the average of the outer diameter of the spring and the inner diameter of the spring and is represented as D = 𝜏*(pi*d^3)/(K*8*P) or Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Axial Spring Force). 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, Diameter of spring wire is the diameter of the wire of which a spring is made, 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.

How to calculate Mean Coil Diameter given Resultant Stress in Spring?

The Mean Coil Diameter given Resultant Stress in Spring formula is defined as the average of the outer diameter of the spring and the inner diameter of the spring is calculated using Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Axial Spring Force). To calculate Mean Coil Diameter given Resultant Stress in Spring, you need Shear Stress in Spring (𝜏), Diameter of spring wire (d), Wahl Factor of Spring (K) & Axial Spring Force (P). With our tool, you need to enter the respective value for Shear Stress in Spring, Diameter of spring wire, Wahl Factor of Spring & Axial Spring Force 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 Mean Coil Diameter of Spring?

In this formula, Mean Coil Diameter of Spring uses Shear Stress in Spring, Diameter of spring wire, Wahl Factor of Spring & Axial Spring Force. We can use 3 other way(s) to calculate the same, which is/are as follows -

Mean Coil Diameter of Spring = 0.5*Diameter of spring wire/(Shear Stress Correction Factor of Spring-1)
Mean Coil Diameter of Spring = (Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Axial Spring Force*Active Coils in Spring))^(1/3)
Mean Coil Diameter of Spring = (Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Stiffness of Spring*Active Coils in Spring))^(1/3)

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