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Number of Coils given Deflection of Spring Formula

2

GoNumber of Coils given Total Length of Wire of Spring Formula

3

GoNumber of Coils given Strain Energy Stored by Spring Formula

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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. Check FAQs

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

N - Number of Coils?U - Strain Energy?G - Modulus of Rigidity of Spring?d - Diameter of Spring Wire?P - Axial Load?R - Mean Radius Spring Coil?

Number of Coils given Deflection of Spring Example

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With units

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Here is how the Number of Coils given Deflection of Spring equation looks like with Values.

Here is how the Number of Coils given Deflection of Spring equation looks like with Units.

Here is how the Number of Coils given Deflection of Spring equation looks like.

0.4358 = \frac{5 \cdot 4 \cdot 26^{4}}{64 \cdot 10 \cdot 320^{3}}

0.4358 = \frac{5KJ \cdot 4MPa \cdot {26mm}^{4}}{64 \cdot 10kN \cdot {320mm}^{3}}

0.4358 = \frac{5 \cdot 4 \cdot 26^{4}}{64 \cdot 10 \cdot 320^{3}}

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Strength of Materials » fx Number of Coils given Deflection of Spring

Number of Coils given Deflection of Spring Solution

Follow our step by step solution on how to calculate Number of Coils given Deflection of Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

N = \frac{5000J \cdot 4E+6Pa \cdot {0.026m}^{4}}{64 \cdot 10000N \cdot {0.32m}^{3}}

Next Step Prepare to Evaluate

∴

N = \frac{5000 \cdot 4E+6 \cdot {0.026}^{4}}{64 \cdot 10000 \cdot {0.32}^{3}}

Next Step Evaluate

∴

N = 0.435806274414062

LAST Step Rounding Answer

∴

N = 0.4358

Number of Coils given Deflection of Spring Formula Elements

Variables

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.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Coils

Open Variable

Strain Energy

The Strain Energy is defined as the energy stored in a body due to deformation.

Symbol: U

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Strain Energy

Open Variable

Modulus of Rigidity 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.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Spring

Open Variable

Diameter of Spring Wire

Diameter of spring wire is the diameter length of spring wire.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring Wire

Open Variable

Axial Load

Axial Load is defined as applying a force on a structure directly along an axis of the structure.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Axial Load

Open Variable

Mean Radius Spring Coil

Mean Radius Spring Coil is the mean radius of the coils of spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius Spring Coil

Open Variable

Other Formulas to find Number of Coils

Go Number of Coils given Total Length of Wire of Spring

N = \frac{L wire}{2 \cdot π \cdot R}

Go Number of Coils given Strain Energy Stored by Spring

N = \frac{U \cdot G \cdot d^{4}}{32 \cdot P^{2} \cdot R^{3}}

Go Number of Coils of Helical Spring given Stiffness of Spring

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

Other formulas in Loads and Parameter of Spring category

Go Twisting Moment on Wire of Helical Spring

D = P \cdot R

Go Twisting Moment given Maximum Shear Stress induced in Wire

D = \frac{π \cdot 𝜏 w \cdot d^{3}}{16}

Go Maximum Shear Stress induced in Wire given Twisting Moment

𝜏 w = \frac{16 \cdot D}{π \cdot d^{3}}

Go Maximum Shear Stress induced in Wire

𝜏 w = \frac{16 \cdot P \cdot R}{π \cdot d^{3}}

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How to Evaluate Number of Coils given Deflection of Spring?

Number of Coils given Deflection of Spring evaluator 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 evaluate 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 evaluate Number of Coils given Deflection of Spring using this online evaluator? To use this online evaluator 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.

FAQs on Number of Coils given Deflection of Spring

What is the formula to find Number of Coils given Deflection of Spring?

The formula of Number of Coils given Deflection of Spring is expressed as Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3). Here is an example- 123596.2 = (5000*4000000*0.026^4)/(64*10000*0.32^3).

How to calculate Number of Coils given Deflection of Spring?

With Strain Energy (U), Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Axial Load (P) & Mean Radius Spring Coil (R) we can find Number of Coils given Deflection of Spring using the formula - Number of Coils = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Axial Load*Mean Radius Spring Coil^3).

What are the other ways to Calculate Number of Coils?

Here are the different ways to Calculate Number of Coils-

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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