Mean Coil Diameter given Rate of Spring Calculator

✖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.ⓘ Modulus of Rigidity of Spring Wire [G]			+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%
✖Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation, every object in this universe has some stiffness.ⓘ Stiffness of Spring [k]			+10% -10%
✖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.ⓘ Active Coils in Spring [N_a]			+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 Rate of Spring [D]

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Mean Coil Diameter given Rate of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
D = (G*d^4/(8*k*N_a))^(1/3)
This formula uses 5 Variables

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.
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.
Diameter of Spring Wire - (Measured in Meter) - Diameter of Spring Wire is the diameter of the wire of which a spring is made.
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation, every object in this universe has some stiffness.
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.

STEP 1: Convert Input(s) to Base Unit

Modulus of Rigidity of Spring Wire: 86400 Newton per Square Millimeter --> 86400000000 Pascal (Check conversion here)
Diameter of Spring Wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
Stiffness of Spring: 5.9 Newton per Millimeter --> 5900 Newton per Meter (Check conversion here)
Active Coils in Spring: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (G*d^4/(8*k*N_a))^(1/3) --> (86400000000*0.004^4/(8*5900*10))^(1/3)

Evaluating ... ...

D = 0.0360526536479573

STEP 3: Convert Result to Output's Unit

0.0360526536479573 Meter -->36.0526536479573 Millimeter (Check conversion here)

FINAL ANSWER

36.0526536479573 ≈ 36.05265 Millimeter <-- Mean Coil Diameter of Spring

(Calculation completed in 00.020 seconds)

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

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Osmania University (OU), Hyderabad

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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)

Mean Coil Diameter given Rate of Spring Formula

LaTeX 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)
D = (G*d^4/(8*k*N_a))^(1/3)

Define 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 Mean Coil Diameter given Rate of Spring?

Mean Coil Diameter given Rate of Spring calculator uses 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) to calculate the Mean Coil Diameter of Spring, Mean Coil Diameter given Rate of Spring formula is defined as a measure of the average diameter of a coil spring, which is critical in determining the spring's stiffness and load-carrying capacity, and is essential in the design and analysis of springs in mechanical systems. Mean Coil Diameter of Spring is denoted by D symbol.

How to calculate Mean Coil Diameter given Rate of Spring using this online calculator? To use this online calculator for Mean Coil Diameter given Rate of Spring, enter Modulus of Rigidity of Spring Wire (G), Diameter of Spring Wire (d), Stiffness of Spring (k) & Active Coils in Spring (N_a) and hit the calculate button. Here is how the Mean Coil Diameter given Rate of Spring calculation can be explained with given input values -> 33430.59 = (86400000000*0.004^4/(8*5900*10))^(1/3).

FAQ

What is Mean Coil Diameter given Rate of Spring?

Mean Coil Diameter given Rate of Spring formula is defined as a measure of the average diameter of a coil spring, which is critical in determining the spring's stiffness and load-carrying capacity, and is essential in the design and analysis of springs in mechanical systems and is represented as D = (G*d^4/(8*k*N_a))^(1/3) or 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 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, Diameter of Spring Wire is the diameter of the wire of which a spring is made, Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation, every object in this universe has some stiffness & 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.

How to calculate Mean Coil Diameter given Rate of Spring?

Mean Coil Diameter given Rate of Spring formula is defined as a measure of the average diameter of a coil spring, which is critical in determining the spring's stiffness and load-carrying capacity, and is essential in the design and analysis of springs in mechanical systems is calculated using 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). To calculate Mean Coil Diameter given Rate of Spring, you need Modulus of Rigidity of Spring Wire (G), Diameter of Spring Wire (d), Stiffness of Spring (k) & Active Coils in Spring (N_a). With our tool, you need to enter the respective value for Modulus of Rigidity of Spring Wire, Diameter of Spring Wire, Stiffness of Spring & Active Coils 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 Mean Coil Diameter of Spring?

In this formula, Mean Coil Diameter of Spring uses Modulus of Rigidity of Spring Wire, Diameter of Spring Wire, Stiffness of Spring & Active Coils in Spring. We can use 3 other way(s) to calculate the same, which is/are as follows -

Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Axial Spring Force)
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)

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