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Number of Spring Coils given Deflection for Close-Coiled Helical Spring Formula

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Number of Coils in spring is the total number of turns made by wire along its length. Check FAQs

N = \frac{δ \cdot G Torsion \cdot d^{4}}{64 \cdot W load \cdot R^{3}}

N - Number of Coils?δ - Deflection of Spring?G_Torsion - Modulus of Rigidity?d - Diameter of Spring?W_load - Spring Load?R - Mean Radius?

Number of Spring Coils given Deflection for Close-Coiled Helical Spring Example

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Here is how the Number of Spring Coils given Deflection for Close-Coiled Helical Spring equation looks like with Values.

Here is how the Number of Spring Coils given Deflection for Close-Coiled Helical Spring equation looks like with Units.

Here is how the Number of Spring Coils given Deflection for Close-Coiled Helical Spring equation looks like.

9 = \frac{3.4 \cdot 40 \cdot 45^{4}}{64 \cdot 85 \cdot 225^{3}}

9 = \frac{3.4mm \cdot 40GPa \cdot {45mm}^{4}}{64 \cdot 85N \cdot {225mm}^{3}}

9 = \frac{3.4 \cdot 40 \cdot 45^{4}}{64 \cdot 85 \cdot 225^{3}}

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Number of Spring Coils given Deflection for Close-Coiled Helical Spring Solution

Follow our step by step solution on how to calculate Number of Spring Coils given Deflection for Close-Coiled Helical Spring?

FIRST Step Consider the formula

N = \frac{δ \cdot G Torsion \cdot d^{4}}{64 \cdot W load \cdot R^{3}}

Next Step Substitute values of Variables

∴

N = \frac{3.4mm \cdot 40GPa \cdot {45mm}^{4}}{64 \cdot 85N \cdot {225mm}^{3}}

Next Step Convert Units

∴

N = \frac{0.0034m \cdot 4E+10Pa \cdot {0.045m}^{4}}{64 \cdot 85N \cdot {0.225m}^{3}}

Next Step Prepare to Evaluate

∴

N = \frac{0.0034 \cdot 4E+10 \cdot {0.045}^{4}}{64 \cdot 85 \cdot {0.225}^{3}}

LAST Step Evaluate

∴

N = 9

Number of Spring Coils given Deflection for Close-Coiled Helical Spring Formula Elements

Variables

Number of Coils

Number of Coils in spring is the total number of turns made by wire along its length.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Coils

Deflection of Spring

Deflection of Spring is how a spring responds when force is applied or released.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Spring

Modulus of Rigidity

Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.

Symbol: G_Torsion

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity

Diameter of Spring

Diameter of Spring wire is the diameter of the wire from which a spring is made.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring

Spring Load

Spring Load is the instantaneous load applied perpendicular to the specimen cross section.

Symbol: W_load

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Spring Load

Mean Radius

The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius

Other formulas in Close Coiled Helical Spring category

Go Deflection for Close-Coiled Helical Spring

δ = \frac{64 \cdot W load \cdot R^{3} \cdot N}{G Torsion \cdot d^{4}}

Go Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring

d = {(\frac{64 \cdot W load \cdot R^{3} \cdot N}{G Torsion \cdot δ})}^{\frac{1}{4}}

Go Mean Radius of Spring given Deflection for Close-Coiled Helical Spring

R = {(\frac{δ \cdot G Torsion \cdot d^{4}}{64 \cdot W load \cdot N})}^{\frac{1}{3}}

Go Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring

W load = \frac{δ \cdot G Torsion \cdot d^{4}}{64 \cdot N \cdot R^{3}}

How to Evaluate Number of Spring Coils given Deflection for Close-Coiled Helical Spring?

Number of Spring Coils given Deflection for Close-Coiled Helical Spring evaluator uses Number of Coils = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Spring Load*Mean Radius^3) to evaluate the Number of Coils, The Number of Spring Coils given Deflection for Close-Coiled Helical Spring formula is defined as the count of coiling of spring that is loaded. Number of Coils is denoted by N symbol.

How to evaluate Number of Spring Coils given Deflection for Close-Coiled Helical Spring using this online evaluator? To use this online evaluator for Number of Spring Coils given Deflection for Close-Coiled Helical Spring, enter Deflection of Spring (δ), Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Spring Load (W_load) & Mean Radius (R) and hit the calculate button.

FAQs on Number of Spring Coils given Deflection for Close-Coiled Helical Spring

What is the formula to find Number of Spring Coils given Deflection for Close-Coiled Helical Spring?

The formula of Number of Spring Coils given Deflection for Close-Coiled Helical Spring is expressed as Number of Coils = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Spring Load*Mean Radius^3). Here is an example- 6.28425 = (0.0034*40000000000*0.045^4)/(64*85*0.225^3).

How to calculate Number of Spring Coils given Deflection for Close-Coiled Helical Spring?

With Deflection of Spring (δ), Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Spring Load (W_load) & Mean Radius (R) we can find Number of Spring Coils given Deflection for Close-Coiled Helical Spring using the formula - Number of Coils = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Spring Load*Mean Radius^3).

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Number of Spring Coils given Deflection for Close-Coiled Helical Spring Formula

Number of Spring Coils given Deflection for Close-Coiled Helical Spring Example

Number of Spring Coils given Deflection for Close-Coiled Helical Spring Solution

Number of Spring Coils given Deflection for Close-Coiled Helical Spring Formula Elements

Other formulas in Close Coiled Helical Spring category

How to Evaluate Number of Spring Coils given Deflection for Close-Coiled Helical Spring?

FAQs on Number of Spring Coils given Deflection for Close-Coiled Helical Spring

Variable Name