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

GoNumber of Active Turns of Engine Valve Spring Formula

GoNumber of Active Turns of Engine Valve Spring given Total Turns 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} \cdot x}{8 \cdot P \cdot D^{3}}

N - Active Coils in Valve Spring?G - Modulus of Rigidity of Valve Spring?d_w - Wire Diameter of Valve Spring?x - Maximum Compression in Valve Spring?P - Axial Force on Valve Spring?D - Mean Coil Diameter of Valve Spring?

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

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

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

Here is how the Number of Active Turns of Engine Valve Spring given Maximum Compression in Spring equation looks like.

11.8955 = \frac{98900 \cdot {5.5}^{4} \cdot 34.8}{8 \cdot 340 \cdot 46^{3}}

11.8955 = \frac{98900N/mm² \cdot {5.5mm}^{4} \cdot 34.8mm}{8 \cdot 340N \cdot {46mm}^{3}}

11.8955 = \frac{98900 \cdot {5.5}^{4} \cdot 34.8}{8 \cdot 340 \cdot 46^{3}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N = \frac{98900N/mm² \cdot {5.5mm}^{4} \cdot 34.8mm}{8 \cdot 340N \cdot {46mm}^{3}}

Next Step Convert Units

∴

N = \frac{9.9E+10Pa \cdot {0.0055m}^{4} \cdot 0.0348m}{8 \cdot 340N \cdot {0.046m}^{3}}

Next Step Prepare to Evaluate

∴

N = \frac{9.9E+10 \cdot {0.0055}^{4} \cdot 0.0348}{8 \cdot 340 \cdot {0.046}^{3}}

Next Step Evaluate

∴

N = 11.8955326799316

LAST Step Rounding Answer

∴

N = 11.8955

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

Maximum Compression in Valve Spring

Maximum Compression in Valve Spring is the maximum amount of axial deflection in the valve spring.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Maximum Compression in Valve Spring

Axial Force on Valve Spring

Axial Force on Valve Spring is the force acting at the ends of spring trying to compress or expand it in the axial direction.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Force on 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

Other Formulas to find Active Coils in Valve Spring

Go Number of Active Turns of Engine Valve Spring

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

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 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 given Maximum Compression in Spring?

Number of Active Turns of Engine Valve Spring given Maximum Compression in Spring evaluator uses 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) to evaluate the Active Coils in Valve Spring, The number of active turns of engine valve spring given maximum compression in 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 given Maximum Compression in Spring using this online evaluator? To use this online evaluator for Number of Active Turns of Engine Valve Spring given Maximum Compression in Spring, enter Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (d_w), Maximum Compression in Valve Spring (x), Axial Force on Valve Spring (P) & Mean Coil Diameter of Valve Spring (D) and hit the calculate button.

FAQs on Number of Active Turns of Engine Valve Spring given Maximum Compression in Spring

What is the formula to find Number of Active Turns of Engine Valve Spring given Maximum Compression in Spring?

The formula of Number of Active Turns of Engine Valve Spring given Maximum Compression in Spring is expressed as 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). Here is an example- 11.89553 = (98900000000*0.0055^4*0.0348)/(8*340*0.046^3).

How to calculate Number of Active Turns of Engine Valve Spring given Maximum Compression in Spring?

With Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (d_w), Maximum Compression in Valve Spring (x), Axial Force on Valve Spring (P) & Mean Coil Diameter of Valve Spring (D) we can find Number of Active Turns of Engine Valve Spring given Maximum Compression in Spring using the formula - 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).

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

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

​GoNumber of Active Turns of Engine Valve Spring Formula

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

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

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

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

FAQs on Number of Active Turns of Engine Valve Spring given Maximum Compression in Spring

Variable Name

GoNumber of Active Turns of Engine Valve Spring Formula

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