Stiffness of Spring Calculator

✖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 [d]			+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%

✖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]

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Stiffness of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Diameter of Spring - (Measured in Meter) - Diameter of Spring wire is the diameter of the wire from which a spring is made.
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.

STEP 1: Convert Input(s) to Base Unit

Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)
Diameter of Spring: 45 Millimeter --> 0.045 Meter (Check conversion here)
Mean Radius: 225 Millimeter --> 0.225 Meter (Check conversion here)
Number of Coils: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (G_Torsion*d^4)/(64*R^3*N) --> (40000000000*0.045^4)/(64*0.225^3*9)

Evaluating ... ...

K = 25000

STEP 3: Convert Result to Output's Unit

25000 Newton per Meter -->25 Newton per Millimeter (Check conversion here)

FINAL ANSWER

25 Newton per Millimeter <-- Stiffness of Spring

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Verified by Suraj Kumar

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)

Stiffness of Spring Formula

LaTeX Go

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

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 Stiffness of Spring?

Stiffness of Spring calculator uses Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Number of Coils) to calculate the Stiffness of Spring, The Stiffness of Spring formula is defined as a measure of how much force is needed to extend or compress the spring by a unit length. Stiffness of Spring is denoted by K symbol.

How to calculate Stiffness of Spring using this online calculator? To use this online calculator for Stiffness of Spring, enter Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Number of Coils (N) and hit the calculate button. Here is how the Stiffness of Spring calculation can be explained with given input values -> 0.017456 = (40000000000*0.045^4)/(64*0.225^3*9).

FAQ

What is Stiffness of Spring?

The Stiffness of Spring formula is defined as a measure of how much force is needed to extend or compress the spring by a unit length and is represented as K = (G_Torsion*d^4)/(64*R^3*N) or Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Number of Coils). 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, Diameter of Spring wire is the diameter of the wire from which a spring is made, 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.

How to calculate Stiffness of Spring?

The Stiffness of Spring formula is defined as a measure of how much force is needed to extend or compress the spring by a unit length is calculated using Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Number of Coils). To calculate Stiffness of Spring, you need Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Number of Coils (N). With our tool, you need to enter the respective value for Modulus of Rigidity, Diameter of Spring, Mean Radius & Number of Coils 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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