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Number of Coils given Deflection of Spring Calculator

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

✖The Strain Energy is defined as the energy stored in a body due to deformation.ⓘ Strain Energy [U]			+10% -10%
✖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%
✖Axial Load is defined as applying a force on a structure directly along an axis of the structure.ⓘ Axial Load [P]			+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 given Deflection of Spring [N]

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Formula

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Number of Coils given Deflection of Spring

Formula

N = \frac{U \cdot G \cdot d^{4}}{64 \cdot P \cdot R^{3}}

Example

0.435806 = \frac{5 KJ \cdot 4 MPa \cdot {26 mm}^{4}}{64 \cdot 10 kN \cdot {320 mm}^{3}}

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Number of Coils given Deflection of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3)
N = (U*G*d^4)/(64*P*R^3)
This formula uses 6 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.
Strain Energy - (Measured in Joule) - The Strain Energy is defined as the energy stored in a body due to deformation.
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.
Axial Load - (Measured in Newton) - Axial Load is defined as applying a force on a structure directly along an axis of the structure.
Mean Radius Spring Coil - (Measured in Meter) - Mean Radius Spring Coil is the mean radius of the coils of spring.

STEP 1: Convert Input(s) to Base Unit

Strain Energy: 5 Kilojoule --> 5000 Joule (Check conversion here)
Modulus of Rigidity of Spring: 4 Megapascal --> 4000000 Pascal (Check conversion here)
Diameter of Spring Wire: 26 Millimeter --> 0.026 Meter (Check conversion here)
Axial Load: 10 Kilonewton --> 10000 Newton (Check conversion here)
Mean Radius Spring Coil: 320 Millimeter --> 0.32 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (U*G*d^4)/(64*P*R^3) --> (5000*4000000*0.026^4)/(64*10000*0.32^3)

Evaluating ... ...

N = 0.435806274414062

STEP 3: Convert Result to Output's Unit

0.435806274414062 --> No Conversion Required

FINAL ANSWER

0.435806274414062 ≈ 0.435806 <-- 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

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

Twisting Moment on Wire of Helical Spring

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

Number of Coils given Deflection of Spring Formula

Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3)
N = (U*G*d^4)/(64*P*R^3)

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 Number of Coils given Deflection of Spring?

Number of Coils given Deflection of Spring calculator uses Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3) to calculate the Number of Coils, Number of coils given deflection of spring is defined as the count value of coils formed in helical spring. Number of Coils is denoted by N symbol.

How to calculate Number of Coils given Deflection of Spring using this online calculator? To use this online calculator for Number of Coils given Deflection of Spring, enter Strain Energy (U), Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Axial Load (P) & Mean Radius Spring Coil (R) and hit the calculate button. Here is how the Number of Coils given Deflection of Spring calculation can be explained with given input values -> 123596.2 = (5000*4000000*0.026^4)/(64*10000*0.32^3).

FAQ

What is Number of Coils given Deflection of Spring?

Number of coils given deflection of spring is defined as the count value of coils formed in helical spring and is represented as N = (U*G*d^4)/(64*P*R^3) or Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3). The Strain Energy is defined as the energy stored in a body due to deformation, 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, Axial Load is defined as applying a force on a structure directly along an axis of the structure & Mean Radius Spring Coil is the mean radius of the coils of spring.

How to calculate Number of Coils given Deflection of Spring?

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

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