Diameter of Spring Wire given Rate of Spring Calculator

✖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%
✖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%
✖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%
✖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 given Rate of Spring [d]

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Diameter of Spring Wire given Rate of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Stiffness of Spring: 5.9 Newton per Millimeter --> 5900 Newton per Meter (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = ((k*8*D^3*N_a)/(G))^(1/4) --> ((5900*8*0.036^3*10)/(86400000000))^(1/4)

Evaluating ... ...

d = 0.00399561780389217

STEP 3: Convert Result to Output's Unit

0.00399561780389217 Meter -->3.99561780389217 Millimeter (Check conversion here)

FINAL ANSWER

3.99561780389217 ≈ 3.995618 Millimeter <-- Diameter of Spring Wire

(Calculation completed in 00.020 seconds)

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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 Rate of Spring Formula

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

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 Diameter of Spring Wire given Rate of Spring?

Diameter of Spring Wire given Rate of Spring calculator uses 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) to calculate the Diameter of Spring Wire, Diameter of Spring Wire given Rate of Spring formula is defined as a measure of the diameter of a spring wire based on its rate, which is essential in determining the stress and deflections in springs, providing valuable insights for spring design and engineering applications. Diameter of Spring Wire is denoted by d symbol.

How to calculate Diameter of Spring Wire given Rate of Spring using this online calculator? To use this online calculator for Diameter of Spring Wire given Rate of Spring, enter Stiffness of Spring (k), Mean Coil Diameter of Spring (D), Active Coils in Spring (N_a) & Modulus of Rigidity of Spring Wire (G) and hit the calculate button. Here is how the Diameter of Spring Wire given Rate of Spring calculation can be explained with given input values -> 4228.427 = ((5900*8*0.036^3*10)/(86400000000))^(1/4).

FAQ

What is Diameter of Spring Wire given Rate of Spring?

Diameter of Spring Wire given Rate of Spring formula is defined as a measure of the diameter of a spring wire based on its rate, which is essential in determining the stress and deflections in springs, providing valuable insights for spring design and engineering applications and is represented as d = ((k*8*D^3*N_a)/(G))^(1/4) or 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). Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation, every object in this universe has some stiffness, 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.

How to calculate Diameter of Spring Wire given Rate of Spring?

Diameter of Spring Wire given Rate of Spring formula is defined as a measure of the diameter of a spring wire based on its rate, which is essential in determining the stress and deflections in springs, providing valuable insights for spring design and engineering applications is calculated using 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). To calculate Diameter of Spring Wire given Rate of Spring, you need Stiffness of Spring (k), Mean Coil Diameter of Spring (D), Active Coils in Spring (N_a) & Modulus of Rigidity of Spring Wire (G). With our tool, you need to enter the respective value for Stiffness of Spring, Mean Coil Diameter of Spring, Active Coils in Spring & Modulus of Rigidity of Spring Wire 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 Stiffness of Spring, Mean Coil Diameter of Spring, Active Coils in Spring & Modulus of Rigidity of Spring Wire. 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 = ((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 = (Shear Stress Correction Factor of Spring-1)*Mean Coil Diameter of Spring/.5

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