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Number of Coils of Helical Spring given Stiffness of Spring Calculator

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Loads and Parameter of Spring Axial Load Diameter of Spring Mean Radius of Spring

✖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%
✖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]			+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 of Helical Spring given Stiffness of Spring [N]

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Number of Coils of Helical Spring given Stiffness of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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)
Stiffness of Helical Spring: 0.75 Kilonewton per Meter --> 750 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (G*d^4)/(64*R^3*k) --> (4000000*0.026^4)/(64*0.32^3*750)

Evaluating ... ...

N = 0.00116215006510417

STEP 3: Convert Result to Output's Unit

0.00116215006510417 --> No Conversion Required

FINAL ANSWER

0.00116215006510417 ≈ 0.001162 <-- Number of Coils

(Calculation completed in 00.004 seconds)

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< Loads and Parameter of Spring Calculators

Maximum Shear Stress induced in Wire

LaTeX 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

LaTeX 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

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

Twisting Moment on Wire of Helical Spring

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

Number of Coils of Helical Spring given Stiffness of Spring Formula

LaTeX Go

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

What is meant by hoop stress?

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

How to Calculate Number of Coils of Helical Spring given Stiffness of Spring?

Number of Coils of Helical Spring given Stiffness of Spring calculator uses Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring) to calculate the Number of Coils, The Number of coils of Helical spring given stiffness of spring formula is defined as the count of coils formed in the helical spring. Number of Coils is denoted by N symbol.

How to calculate Number of Coils of Helical Spring given Stiffness of Spring using this online calculator? To use this online calculator for Number of Coils of Helical Spring given Stiffness of Spring, enter Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Mean Radius Spring Coil (R) & Stiffness of Helical Spring (k) and hit the calculate button. Here is how the Number of Coils of Helical Spring given Stiffness of Spring calculation can be explained with given input values -> 329.5898 = (4000000*0.026^4)/(64*0.32^3*750).

FAQ

What is Number of Coils of Helical Spring given Stiffness of Spring?

The Number of coils of Helical spring given stiffness of spring formula is defined as the count of coils formed in the helical spring and is represented as N = (G*d^4)/(64*R^3*k) or 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 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 & 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.

How to calculate Number of Coils of Helical Spring given Stiffness of Spring?

The Number of coils of Helical spring given stiffness of spring formula is defined as the count of coils formed in the helical spring is calculated using Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring). To calculate Number of Coils of Helical Spring given Stiffness of Spring, you need Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Mean Radius Spring Coil (R) & Stiffness of Helical Spring (k). With our tool, you need to enter the respective value for Modulus of Rigidity of Spring, Diameter of Spring Wire, Mean Radius Spring Coil & Stiffness of Helical 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 Number of Coils?

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

Number of Coils = Length of Wire of Spring/(2*pi*Mean Radius Spring Coil)
Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Mean Radius Spring Coil^3)
Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3)

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