Stiffness of Helical Spring Calculator

✖Modulus of Rigidity of Spring 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 [G]			+10% -10%
✖Diameter of spring wire is the diameter length of spring wire.ⓘ Diameter of Spring Wire [d]			+10% -10%
✖Mean Radius Spring Coil is the mean radius of the coils of spring.ⓘ Mean Radius Spring Coil [R]			+10% -10%
✖The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.ⓘ Number of Coils [N]			+10% -10%

✖Stiffness of Helical Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Stiffness of Helical Spring [k]

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Formula

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Stiffness of Helical Spring

Formula

`"k" = ("G"*"d"^4)/(64*"R"^3*"N")`

Example

`"0.000436kN/m"=("4MPa"*("26mm")^4)/(64*("320mm")^3*"2")`

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Stiffness of Helical Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stiffness of Helical Spring = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils)
k = (G*d^4)/(64*R^3*N)
This formula uses 5 Variables

Variables Used

Stiffness of Helical Spring - (Measured in Newton per Meter) - Stiffness of Helical 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 of Spring - (Measured in Pascal) - Modulus of Rigidity of Spring 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 length of spring wire.
Mean Radius Spring Coil - (Measured in Meter) - Mean Radius Spring Coil is the mean radius of the coils of spring.
Number of Coils - The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.

STEP 1: Convert Input(s) to Base Unit

Modulus of Rigidity of Spring: 4 Megapascal --> 4000000 Pascal (Check conversion here)
Diameter of Spring Wire: 26 Millimeter --> 0.026 Meter (Check conversion here)
Mean Radius Spring Coil: 320 Millimeter --> 0.32 Meter (Check conversion here)
Number of Coils: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = (G*d^4)/(64*R^3*N) --> (4000000*0.026^4)/(64*0.32^3*2)

Evaluating ... ...

k = 0.435806274414062

STEP 3: Convert Result to Output's Unit

0.435806274414062 Newton per Meter -->0.000435806274414062 Kilonewton per Meter (Check conversion here)

FINAL ANSWER

0.000435806274414062 ≈ 0.000436 Kilonewton per Meter <-- Stiffness of Helical Spring

(Calculation completed in 00.004 seconds)

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< 22 Helical Springs Calculators

Modulus of Rigidity given Strain Energy Stored by Spring

Go Modulus of Rigidity of Spring = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)

Number of Coils given Strain Energy Stored by Spring

Go Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Mean Radius Spring Coil^3)

Strain Energy Stored by Spring

Go Strain Energy = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Diameter of Spring Wire^4)

Modulus of Rigidity given Deflection of Spring

Go Modulus of Rigidity of Spring = (64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)

Number of Coils given Deflection of Spring

Go Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3)

Number of Coils of Helical Spring given Stiffness of Spring

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

Modulus of Rigidity given Stiffness of Helical Spring

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

Stiffness of Helical Spring

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

Maximum Shear Stress induced in Wire

Go Maximum Shear Stress in Wire = (16*Axial Load*Mean Radius Spring Coil)/(pi*Diameter of Spring Wire^3)

Maximum Shear Stress induced in Wire given Twisting Moment

Go Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3)

Twisting Moment given Maximum Shear Stress induced in Wire

Go Twisting Moments on Shells = (pi*Maximum Shear Stress in Wire*Diameter of Spring Wire^3)/16

Number of Coils given Total Length of Wire of Spring

Go Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil)

Total Length of Wire of Helical Spring given Mean Radius of Spring Roll

Go Length of Wire of Spring = 2*pi*Mean Radius Spring Coil*Number of Coils

Twisting Moment on Wire of Helical Spring

Go Twisting Moments on Shells = Axial Load*Mean Radius Spring Coil

Stiffness of Spring given Deflection of Spring

Go Stiffness of Helical Spring = Axial Load/Deflection of Spring

Deflection of Spring given Stiffness of Spring

Go Deflection of Spring = Axial Load/Stiffness of Helical Spring

Total Length of Wire of Helical Spring

Go Length of Wire of Spring = Length of One Coil*Number of Coils

Work Done on Spring given Axial Load on Spring

Go Work Done = (Axial Load*Deflection of Spring)/2

Deflection of Spring given Work Done on Spring

Go Deflection of Spring = (2*Work Done)/Axial Load

Deflection given Average Load on Spring

Go Deflection of Spring = Work Done/Average Load

Work Done on Spring given Average Load

Go Work Done = Average Load*Deflection of Spring

Average Load on Spring

Go Average Load = Work Done/Deflection of Spring

Stiffness of Helical Spring Formula

Stiffness of Helical Spring = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils)
k = (G*d^4)/(64*R^3*N)

What does strain energy tell you?

Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape.

How to Calculate Stiffness of Helical Spring?

Stiffness of Helical Spring calculator uses Stiffness of Helical Spring = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils) to calculate the Stiffness of Helical Spring, The Stiffness of helical spring formula is a measure of the spring's stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position. Stiffness of Helical Spring is denoted by k symbol.

How to calculate Stiffness of Helical Spring using this online calculator? To use this online calculator for Stiffness of Helical Spring, enter Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Mean Radius Spring Coil (R) & Number of Coils (N) and hit the calculate button. Here is how the Stiffness of Helical Spring calculation can be explained with given input values -> 0.123596 = (4000000*0.026^4)/(64*0.32^3*2).

FAQ

What is Stiffness of Helical Spring?

The Stiffness of helical spring formula is a measure of the spring's stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position and is represented as k = (G*d^4)/(64*R^3*N) or Stiffness of Helical Spring = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils). Modulus of Rigidity of Spring 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 length of spring wire, Mean Radius Spring Coil is the mean radius of the coils of spring & The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.

How to calculate Stiffness of Helical Spring?

The Stiffness of helical spring formula is a measure of the spring's stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position is calculated using Stiffness of Helical Spring = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils). To calculate Stiffness of Helical Spring, you need Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Mean Radius Spring Coil (R) & Number of Coils (N). With our tool, you need to enter the respective value for Modulus of Rigidity of Spring, Diameter of Spring Wire, Mean Radius Spring Coil & Number of Coils 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 Stiffness of Helical Spring?

In this formula, Stiffness of Helical Spring uses Modulus of Rigidity of Spring, Diameter of Spring Wire, Mean Radius Spring Coil & Number of Coils. We can use 1 other way(s) to calculate the same, which is/are as follows -

Stiffness of Helical Spring = Axial Load/Deflection of Spring

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