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Number of Active Turns of Engine Valve Spring Formula

GoNumber of Active Turns of Engine Valve Spring given Total Turns Formula

GoNumber of Active Turns of Engine Valve Spring given Maximum Compression in Spring Formula

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Active Coils in Valve Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the valve spring. Check FAQs

N = \frac{G \cdot {d w}^{4}}{8 \cdot D^{3} \cdot k}

N - Active Coils in Valve Spring?G - Modulus of Rigidity of Valve Spring?d_w - Wire Diameter of Valve Spring?D - Mean Coil Diameter of Valve Spring?k - Stiffness of Valve Spring?

Number of Active Turns of Engine Valve Spring Example

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Here is how the Number of Active Turns of Engine Valve Spring equation looks like with Values.

Here is how the Number of Active Turns of Engine Valve Spring equation looks like with Units.

Here is how the Number of Active Turns of Engine Valve Spring equation looks like.

12.9134 = \frac{98900 \cdot {5.5}^{4}}{8 \cdot 46^{3} \cdot 9}

12.9134 = \frac{98900N/mm² \cdot {5.5mm}^{4}}{8 \cdot {46mm}^{3} \cdot 9N/mm}

12.9134 = \frac{98900 \cdot {5.5}^{4}}{8 \cdot 46^{3} \cdot 9}

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Number of Active Turns of Engine Valve Spring Solution

Follow our step by step solution on how to calculate Number of Active Turns of Engine Valve Spring?

FIRST Step Consider the formula

N = \frac{G \cdot {d w}^{4}}{8 \cdot D^{3} \cdot k}

Next Step Substitute values of Variables

∴

N = \frac{98900N/mm² \cdot {5.5mm}^{4}}{8 \cdot {46mm}^{3} \cdot 9N/mm}

Next Step Convert Units

∴

N = \frac{9.9E+10Pa \cdot {0.0055m}^{4}}{8 \cdot {0.046m}^{3} \cdot 9000N/m}

Next Step Prepare to Evaluate

∴

N = \frac{9.9E+10 \cdot {0.0055}^{4}}{8 \cdot {0.046}^{3} \cdot 9000}

Next Step Evaluate

∴

N = 12.9134135095043

LAST Step Rounding Answer

∴

N = 12.9134

Number of Active Turns of Engine Valve Spring Formula Elements

Variables

Active Coils in Valve Spring

Active Coils in Valve Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the valve spring.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Active Coils in Valve Spring

Modulus of Rigidity of Valve Spring

Modulus of Rigidity of Valve 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: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Valve Spring

Wire Diameter of Valve Spring

Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the spring.

Symbol: d_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Wire Diameter of Valve Spring

Mean Coil Diameter of Valve Spring

Mean Coil Diameter of Valve Spring is defined as the average of the inner and the outer diameters of the spring of an engine valve.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Coil Diameter of Valve Spring

Stiffness of Valve Spring

Stiffness of Valve Spring is a measure of the resistance offered by an elastic spring to deformation, every object in this universe has some stiffness.

Symbol: k

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of Valve Spring

Other Formulas to find Active Coils in Valve Spring

Go Number of Active Turns of Engine Valve Spring given Total Turns

N = N t - 2

Go Number of Active Turns of Engine Valve Spring given Maximum Compression in Spring

N = \frac{G \cdot {d w}^{4} \cdot x}{8 \cdot P \cdot D^{3}}

Go Number of Active Turns of Engine Valve Spring given Pitch of Spring

N = \frac{L f}{p} - 1

Other formulas in Valve Spring category

Go Diameter of Wire of Engine Valve Spring given Mean Coil Diameter

d w = \frac{D}{8}

Go Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire

d w = \sqrt{\frac{8 \cdot K \cdot P \cdot C}{π \cdot f s}}

Go Diameter of Wire of Engine Valve Spring

d w = \sqrt{\frac{8 \cdot K \cdot ((P i + k \cdot h max) \cdot C)}{π \cdot f s}}

Go Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter

C = \frac{π \cdot f s \cdot {d w}^{2}}{8 \cdot K \cdot P}

How to Evaluate Number of Active Turns of Engine Valve Spring?

Number of Active Turns of Engine Valve Spring evaluator uses Active Coils in Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring) to evaluate the Active Coils in Valve Spring, The Number of active turns of engine valve spring is the number of coils or turns in the engine valve spring that actually contributes to the load-bearing capacity of the spring. Active Coils in Valve Spring is denoted by N symbol.

How to evaluate Number of Active Turns of Engine Valve Spring using this online evaluator? To use this online evaluator for Number of Active Turns of Engine Valve Spring, enter Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (d_w), Mean Coil Diameter of Valve Spring (D) & Stiffness of Valve Spring (k) and hit the calculate button.

FAQs on Number of Active Turns of Engine Valve Spring

What is the formula to find Number of Active Turns of Engine Valve Spring?

The formula of Number of Active Turns of Engine Valve Spring is expressed as Active Coils in Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring). Here is an example- 12.91341 = (98900000000*0.0055^4)/(8*0.046^3*9000).

How to calculate Number of Active Turns of Engine Valve Spring?

With Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (d_w), Mean Coil Diameter of Valve Spring (D) & Stiffness of Valve Spring (k) we can find Number of Active Turns of Engine Valve Spring using the formula - Active Coils in Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring).

What are the other ways to Calculate Active Coils in Valve Spring?

Here are the different ways to Calculate Active Coils in Valve Spring-

Active Coils in Valve Spring=Total Coils in Valve Spring-2
Active Coils in Valve Spring=(Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4*Maximum Compression in Valve Spring)/(8*Axial Force on Valve Spring*Mean Coil Diameter of Valve Spring^3)
Active Coils in Valve Spring=Free Length of Valve Spring/Pitch of Valve Spring-1

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: Value
: Unit

Number of Active Turns of Engine Valve Spring Formula

​GoNumber of Active Turns of Engine Valve Spring given Total Turns Formula

​GoNumber of Active Turns of Engine Valve Spring given Maximum Compression in Spring Formula

Number of Active Turns of Engine Valve Spring Example

Number of Active Turns of Engine Valve Spring Solution

Number of Active Turns of Engine Valve Spring Formula Elements

Other Formulas to find Active Coils in Valve Spring

Other formulas in Valve Spring category

How to Evaluate Number of Active Turns of Engine Valve Spring?

FAQs on Number of Active Turns of Engine Valve Spring

Variable Name

GoNumber of Active Turns of Engine Valve Spring given Total Turns Formula

GoNumber of Active Turns of Engine Valve Spring given Maximum Compression in Spring Formula