Diameter of Spring Wire or Coil given Stiffness 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 Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.ⓘ Mean Radius [R]			+10% -10%
✖Number of Coils in spring is the total number of turns made by wire along its length.ⓘ Number of Coils [N]			+10% -10%
✖Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.ⓘ Modulus of Rigidity [G_Torsion]			+10% -10%

✖Diameter of Spring wire is the diameter of the wire from which a spring is made.ⓘ Diameter of Spring Wire or Coil given Stiffness of Spring [d]

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Diameter of Spring Wire or Coil given Stiffness of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Spring = ((64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4)
d = ((64*K*R^3*N)/G_Torsion)^(1/4)
This formula uses 5 Variables

Variables Used

Diameter of Spring - (Measured in Meter) - Diameter of Spring wire is the diameter of the wire from 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 Radius - (Measured in Meter) - The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.
Number of Coils - Number of Coils in spring is the total number of turns made by wire along its length.
Modulus of Rigidity - (Measured in Pascal) - Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Spring: 25 Newton per Millimeter --> 25000 Newton per Meter (Check conversion here)
Mean Radius: 225 Millimeter --> 0.225 Meter (Check conversion here)
Number of Coils: 9 --> No Conversion Required
Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = ((64*K*R^3*N)/G_Torsion)^(1/4) --> ((64*25000*0.225^3*9)/40000000000)^(1/4)

Evaluating ... ...

d = 0.045

STEP 3: Convert Result to Output's Unit

0.045 Meter -->45 Millimeter (Check conversion here)

FINAL ANSWER

45 Millimeter <-- Diameter of Spring

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Birsa Institute of Technology (BIT), Sindri

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< Stiffness Calculators

Mean Radius of Spring given Stiffness of Spring

LaTeX Go Mean Radius = ((Modulus of Rigidity*Diameter of Spring^4)/(64*Stiffness of Spring*Number of Coils))^(1/3)

Diameter of Spring Wire or Coil given Stiffness of Spring

LaTeX Go Diameter of Spring = ((64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4)

Number of Spring Coils given Stiffness of Spring

LaTeX Go Number of Coils = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Stiffness of Spring)

Stiffness of Spring

LaTeX Go Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Number of Coils)

Diameter of Spring Wire or Coil given Stiffness of Spring Formula

LaTeX Go

Diameter of Spring = ((64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4)
d = ((64*K*R^3*N)/G_Torsion)^(1/4)

What is 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.

How to Calculate Diameter of Spring Wire or Coil given Stiffness of Spring?

Diameter of Spring Wire or Coil given Stiffness of Spring calculator uses Diameter of Spring = ((64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4) to calculate the Diameter of Spring, The Diameter of Spring Wire or Coil given Stiffness of Spring formula is defined as the diameter of the cross-section of the spring wire. Diameter of Spring is denoted by d symbol.

How to calculate Diameter of Spring Wire or Coil given Stiffness of Spring using this online calculator? To use this online calculator for Diameter of Spring Wire or Coil given Stiffness of Spring, enter Stiffness of Spring (K), Mean Radius (R), Number of Coils (N) & Modulus of Rigidity (G_Torsion) and hit the calculate button. Here is how the Diameter of Spring Wire or Coil given Stiffness of Spring calculation can be explained with given input values -> 49227.73 = ((64*25000*0.225^3*9)/40000000000)^(1/4).

FAQ

What is Diameter of Spring Wire or Coil given Stiffness of Spring?

The Diameter of Spring Wire or Coil given Stiffness of Spring formula is defined as the diameter of the cross-section of the spring wire and is represented as d = ((64*K*R^3*N)/G_Torsion)^(1/4) or Diameter of Spring = ((64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(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 Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring, Number of Coils in spring is the total number of turns made by wire along its length & Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.

How to calculate Diameter of Spring Wire or Coil given Stiffness of Spring?

The Diameter of Spring Wire or Coil given Stiffness of Spring formula is defined as the diameter of the cross-section of the spring wire is calculated using Diameter of Spring = ((64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4). To calculate Diameter of Spring Wire or Coil given Stiffness of Spring, you need Stiffness of Spring (K), Mean Radius (R), Number of Coils (N) & Modulus of Rigidity (G_Torsion). With our tool, you need to enter the respective value for Stiffness of Spring, Mean Radius, Number of Coils & Modulus of Rigidity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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