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Pitch of Engine Valve Spring Formula

GoPitch of Engine Valve Spring given its Free Length and Total Number of Turns Formula

GoPitch of Engine Valve Spring given its Free Length and Number of Active Turns Formula

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Pitch of Valve spring is defined as the axial distance between adjacent coils in the uncompressed state of the spring. Check FAQs

p = \frac{(N + 2) \cdot d w + 1.15 \cdot \frac{8 \cdot P \cdot N \cdot D^{3}}{G \cdot {d w}^{4}}}{N + 1}

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

Pitch of Engine Valve Spring Example

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Here is how the Pitch of Engine Valve Spring equation looks like with Values.

Here is how the Pitch of Engine Valve Spring equation looks like with Units.

Here is how the Pitch of Engine Valve Spring equation looks like.

9.0286 = \frac{(12 + 2) \cdot 5.5 + 1.15 \cdot \frac{8 \cdot 340 \cdot 12 \cdot 46^{3}}{98900 \cdot {5.5}^{4}}}{12 + 1}

9.0286mm = \frac{(12 + 2) \cdot 5.5mm + 1.15 \cdot \frac{8 \cdot 340N \cdot 12 \cdot {46mm}^{3}}{98900N/mm² \cdot {5.5mm}^{4}}}{12 + 1}

9.0286 = \frac{(12 + 2) \cdot 5.5 + 1.15 \cdot \frac{8 \cdot 340 \cdot 12 \cdot 46^{3}}{98900 \cdot {5.5}^{4}}}{12 + 1}

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Pitch of Engine Valve Spring Solution

Follow our step by step solution on how to calculate Pitch of Engine Valve Spring?

FIRST Step Consider the formula

p = \frac{(N + 2) \cdot d w + 1.15 \cdot \frac{8 \cdot P \cdot N \cdot D^{3}}{G \cdot {d w}^{4}}}{N + 1}

Next Step Substitute values of Variables

∴

p = \frac{(12 + 2) \cdot 5.5mm + 1.15 \cdot \frac{8 \cdot 340N \cdot 12 \cdot {46mm}^{3}}{98900N/mm² \cdot {5.5mm}^{4}}}{12 + 1}

Next Step Convert Units

∴

p = \frac{(12 + 2) \cdot 0.0055m + 1.15 \cdot \frac{8 \cdot 340N \cdot 12 \cdot {0.046m}^{3}}{9.9E+10Pa \cdot {0.0055m}^{4}}}{12 + 1}

Next Step Prepare to Evaluate

∴

p = \frac{(12 + 2) \cdot 0.0055 + 1.15 \cdot \frac{8 \cdot 340 \cdot 12 \cdot {0.046}^{3}}{9.9E+10 \cdot {0.0055}^{4}}}{12 + 1}

Next Step Evaluate

∴

p = 0.00902857370539931m

Next Step Convert to Output's Unit

∴

p = 9.02857370539931mm

LAST Step Rounding Answer

∴

p = 9.0286mm

Pitch of Engine Valve Spring Formula Elements

Variables

Pitch of Valve Spring

Pitch of Valve spring is defined as the axial distance between adjacent coils in the uncompressed state of the spring.

Symbol: p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch of Valve Spring

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

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

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

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

Other Formulas to find Pitch of Valve Spring

Go Pitch of Engine Valve Spring given its Free Length and Total Number of Turns

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

Go Pitch of Engine Valve Spring given its Free Length and Number of Active Turns

p = \frac{L f}{N + 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 Pitch of Engine Valve Spring?

Pitch of Engine Valve Spring evaluator uses Pitch of Valve Spring = ((Active Coils in Valve Spring+2)*Wire Diameter of Valve Spring+1.15*(8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4))/(Active Coils in Valve Spring+1) to evaluate the Pitch of Valve Spring, Pitch of engine valve spring is defined as the axial distance between the adjacent coils of an engine valve spring when the spring is not compressed or extended. Pitch of Valve Spring is denoted by p symbol.

How to evaluate Pitch of Engine Valve Spring using this online evaluator? To use this online evaluator for Pitch of Engine Valve Spring, enter Active Coils in Valve Spring (N), Wire Diameter of Valve Spring (d_w), Axial Force on Valve Spring (P), Mean Coil Diameter of Valve Spring (D) & Modulus of Rigidity of Valve Spring (G) and hit the calculate button.

FAQs on Pitch of Engine Valve Spring

What is the formula to find Pitch of Engine Valve Spring?

The formula of Pitch of Engine Valve Spring is expressed as Pitch of Valve Spring = ((Active Coils in Valve Spring+2)*Wire Diameter of Valve Spring+1.15*(8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4))/(Active Coils in Valve Spring+1). Here is an example- 9028.574 = ((12+2)*0.0055+1.15*(8*340*12*0.046^3)/(98900000000*0.0055^4))/(12+1).

How to calculate Pitch of Engine Valve Spring?

With Active Coils in Valve Spring (N), Wire Diameter of Valve Spring (d_w), Axial Force on Valve Spring (P), Mean Coil Diameter of Valve Spring (D) & Modulus of Rigidity of Valve Spring (G) we can find Pitch of Engine Valve Spring using the formula - Pitch of Valve Spring = ((Active Coils in Valve Spring+2)*Wire Diameter of Valve Spring+1.15*(8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4))/(Active Coils in Valve Spring+1).

What are the other ways to Calculate Pitch of Valve Spring?

Here are the different ways to Calculate Pitch of Valve Spring-

Pitch of Valve Spring=(Free Length of Valve Spring)/(Total Coils in Valve Spring-1)
Pitch of Valve Spring=(Free Length of Valve Spring)/(Active Coils in Valve Spring+1)

Can the Pitch of Engine Valve Spring be negative?

No, the Pitch of Engine Valve Spring, measured in Length cannot be negative.

Which unit is used to measure Pitch of Engine Valve Spring?

Pitch of Engine Valve Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Pitch of Engine Valve Spring can be measured.

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Pitch of Engine Valve Spring Formula

​GoPitch of Engine Valve Spring given its Free Length and Total Number of Turns Formula

​GoPitch of Engine Valve Spring given its Free Length and Number of Active Turns Formula

Pitch of Engine Valve Spring Example

Pitch of Engine Valve Spring Solution

Pitch of Engine Valve Spring Formula Elements

Other Formulas to find Pitch of Valve Spring

Other formulas in Valve Spring category

How to Evaluate Pitch of Engine Valve Spring?

FAQs on Pitch of Engine Valve Spring

Variable Name

GoPitch of Engine Valve Spring given its Free Length and Total Number of Turns Formula

GoPitch of Engine Valve Spring given its Free Length and Number of Active Turns Formula