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Number of Coils of Helical Spring given Stiffness of Spring Formula

GoNumber of Coils given Total Length of Wire of Spring Formula

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

N - Number of Coils?G - Modulus of Rigidity of Spring?d - Diameter of Spring Wire?R - Mean Radius Spring Coil?k - Stiffness of Helical Spring?

Number of Coils of Helical Spring given Stiffness of Spring Example

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

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

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

0.0012 = \frac{4 \cdot 26^{4}}{64 \cdot 320^{3} \cdot 0.75}

0.0012 = \frac{4MPa \cdot {26mm}^{4}}{64 \cdot {320mm}^{3} \cdot 0.75kN/m}

0.0012 = \frac{4 \cdot 26^{4}}{64 \cdot 320^{3} \cdot 0.75}

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Strength of Materials » fx Number of Coils of Helical Spring given Stiffness of Spring

Number of Coils of Helical Spring given Stiffness of Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N = \frac{4MPa \cdot {26mm}^{4}}{64 \cdot {320mm}^{3} \cdot 0.75kN/m}

Next Step Convert Units

∴

N = \frac{4E+6Pa \cdot {0.026m}^{4}}{64 \cdot {0.32m}^{3} \cdot 750N/m}

Next Step Prepare to Evaluate

∴

N = \frac{4E+6 \cdot {0.026}^{4}}{64 \cdot {0.32}^{3} \cdot 750}

Next Step Evaluate

∴

N = 0.00116215006510417

LAST Step Rounding Answer

∴

N = 0.0012

Number of Coils of Helical Spring given Stiffness 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

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

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

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

Stiffness of Helical 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.

Symbol: k

Measurement: Surface TensionUnit: kN/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Helical Spring

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 given Deflection of Spring

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

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}}

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

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

FAQs on Number of Coils of Helical Spring given Stiffness of Spring

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

The formula of Number of Coils of Helical Spring given Stiffness of Spring is expressed as Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring). Here is an example- 329.5898 = (4000000*0.026^4)/(64*0.32^3*750).

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

With Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Mean Radius Spring Coil (R) & Stiffness of Helical Spring (k) we can find Number of Coils of Helical Spring given Stiffness of Spring using the formula - Number of Coils = (Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Stiffness of Helical Spring).

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

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: Value
: Unit

Number of Coils of Helical Spring given Stiffness of Spring Formula

​GoNumber of Coils given Total Length of Wire of Spring Formula

​GoNumber of Coils given Strain Energy Stored by Spring Formula

Number of Coils of Helical Spring given Stiffness of Spring Example

Number of Coils of Helical Spring given Stiffness of Spring Solution

Number of Coils of Helical Spring given Stiffness of Spring Formula Elements

Other Formulas to find Number of Coils

Other formulas in Loads and Parameter of Spring category

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

FAQs on Number of Coils of Helical Spring given Stiffness of Spring

Variable Name

GoNumber of Coils given Total Length of Wire of Spring Formula

GoNumber of Coils given Strain Energy Stored by Spring Formula