Pitch of Engine Valve Spring Calculator

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Design of IC Engine Components

Air-Standard Cycles

Engine Performance Parameters

Fuel Injection in IC Engine

Fundamentals of IC Engine

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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.ⓘ Active Coils in Valve Spring [N]			+10% -10%
✖Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the spring.ⓘ Wire Diameter of Valve Spring [d_wire]			+10% -10%
✖Axial Force on Valve Spring is the force acting at the ends of spring trying to compress or expand it in the axial direction.ⓘ Axial Force on Valve Spring [P]			+10% -10%
✖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.ⓘ Mean Coil Diameter of Valve Spring [D]			+10% -10%
✖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.ⓘ Modulus of Rigidity of Valve Spring [G]			+10% -10%

✖Pitch of Valve spring is defined as the axial distance between adjacent coils in the uncompressed state of the spring.ⓘ Pitch of Engine Valve Spring [p]

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Formula

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Pitch of Engine Valve Spring

Formula

`"p" = (("N"+2)*"d"_{"wire"}+1.15*(8*"P"*"N"*"D"^3)/("G"*"d"_{"wire"}^4))/("N"+1)`

Example

`"9.028574mm"=(("12"+2)*"5.5mm"+1.15*(8*"340N"*"12"*("46mm")^3)/("98900N/mm²"*("5.5mm")^4))/("12"+1)`

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Pitch of Engine Valve Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
p = ((N+2)*d_wire+1.15*(8*P*N*D^3)/(G*d_wire^4))/(N+1)
This formula uses 6 Variables

Variables Used

Pitch of Valve spring - (Measured in Meter) - Pitch of Valve spring is defined as the axial distance between adjacent coils in the uncompressed state of the 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.
Wire Diameter of Valve Spring - (Measured in Meter) - Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the spring.
Axial Force on Valve Spring - (Measured in Newton) - Axial Force on Valve Spring is the force acting at the ends of spring trying to compress or expand it in the axial direction.
Mean Coil Diameter of Valve Spring - (Measured in Meter) - 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.
Modulus of Rigidity of Valve Spring - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Active Coils in Valve Spring: 12 --> No Conversion Required
Wire Diameter of Valve Spring: 5.5 Millimeter --> 0.0055 Meter (Check conversion here)
Axial Force on Valve Spring: 340 Newton --> 340 Newton No Conversion Required
Mean Coil Diameter of Valve Spring: 46 Millimeter --> 0.046 Meter (Check conversion here)
Modulus of Rigidity of Valve Spring: 98900 Newton per Square Millimeter --> 98900000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = ((N+2)*d_wire+1.15*(8*P*N*D^3)/(G*d_wire^4))/(N+1) --> ((12+2)*0.0055+1.15*(8*340*12*0.046^3)/(98900000000*0.0055^4))/(12+1)

Evaluating ... ...

p = 0.00902857370539931

STEP 3: Convert Result to Output's Unit

0.00902857370539931 Meter -->9.02857370539931 Millimeter (Check conversion here)

FINAL ANSWER

9.02857370539931 ≈ 9.028574 Millimeter <-- Pitch of Valve spring

(Calculation completed in 00.004 seconds)

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Credits

Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

Saurabh Patil has created this Calculator and 700+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 25 Valve Spring Calculators

Diameter of Wire of Engine Valve Spring

Go Wire Diameter of Valve Spring = sqrt((8*Wahl Factor of Valve Spring*((Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve)*Spring Index for Valve Spring))/(pi*Shear Stress in Valve Spring))

Wahl Factor for Engine Valve Spring given Spring Index

Go Wahl Factor of Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Spring Index for Valve Spring*(Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve))

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

Go Mean Coil Diameter of Valve Spring = Spring Index for Valve Spring*(sqrt((8*Wahl Factor of Valve Spring*(Axial Force on Valve Spring*Spring Index for Valve Spring))/(pi*Shear Stress in Valve Spring)))

Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring

Go Wire Diameter of Valve Spring = ((8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Maximum Compression in Valve Spring))^(1/4)

Maximum Compression of Engine Valve Spring given Total Turns

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

Maximum Compression of Engine Valve Spring given Number of Active Turns

Go Maximum Compression in Valve Spring = (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)

Solid Length of Engine Valve Spring

Go Solid Length of 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))+2)*Wire Diameter of Valve Spring

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

Go Wire Diameter of Valve Spring = sqrt((8*Wahl Factor of Valve Spring*Axial Force on Valve Spring*Spring Index for Valve Spring)/(pi*Shear Stress in Valve Spring))

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

Go Spring Index for Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Wahl Factor of Valve Spring*Axial Force on Valve Spring)

Wahl Factor for Engine Valve Spring given Mean Coil Diameter and Wire Diameter

Go Wahl Factor of Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Spring Index for Valve Spring*Axial Force on Valve Spring)

Diameter of Wire of Engine Valve Spring given Total Turns of Spring

Go Wire Diameter of Valve Spring = ((8*Mean Coil Diameter of Valve Spring^3*(Stiffness of Valve Spring*(Total Coils in Valve Spring-2)))/(Modulus of Rigidity of Valve Spring))^(0.25)

Diameter of Wire of Engine Valve Spring given Number of Active Turns of Spring

Go Wire Diameter of Valve Spring = ((8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring*Active Coils in Valve Spring)/(Modulus of Rigidity of Valve Spring))^(0.25)

Stiffness of Engine Valve Spring given Total Turns of Spring

Go Stiffness of Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)

Free Length of Engine Valve Spring

Go Free Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring+1.15*Maximum Compression in Valve Spring

Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness

Go Natural Frequency Valve Spring = (sqrt(Stiffness of Valve Spring/Mass of Valve Spring))/2

Maximum Compression of Engine Valve Spring given its Free Length and Solid Length

Go Maximum Compression in Valve Spring = (Free Length of Valve Spring-Solid Length of Valve Spring)/(1.15)

Solid Length of Engine Valve Spring given its Free Length and Maximum Compression

Go Solid Length of Valve Spring = Free Length of Valve Spring-1.15*Maximum Compression in Valve Spring

Solid Length of Engine Valve Spring given Number of Active Turns of Spring and Wire Diameter

Go Solid Length of Valve Spring = (Active Coils in Valve Spring+2)*Wire Diameter of Valve Spring

Solid Length of Engine Valve Spring given Total Number of Turns of Spring and Wire Diameter

Go Solid Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring

Mass of Engine Valve Spring given its Natural Frequency of Vibration and Stiffness

Go Mass of Valve Spring = Stiffness of Valve Spring/(4*Natural Frequency Valve Spring^2)

Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass

Go Stiffness of Valve Spring = 4*Mass of Valve Spring*Natural Frequency Valve Spring^2

Total Gap between Coils of Engine Valve Spring given Maximum Compression of Spring

Go Total Axial Gap between Valve Spirng Coils = 0.15*Maximum Compression in Valve Spring

Maximum Compression of Engine Valve Spring given Total Gap between Coils of Spring

Go Maximum Compression in Valve Spring = Total Axial Gap between Valve Spirng Coils/0.15

Diameter of Wire of Engine Valve Spring given Mean Coil Diameter

Go Wire Diameter of Valve Spring = Mean Coil Diameter of Valve Spring/8

Mean Coil Diameter of Engine Valve Spring given Wire Diameter

Go Mean Coil Diameter of Valve Spring = 8*Wire Diameter of Valve Spring

Pitch of Engine Valve Spring Formula

What is spring rate and pitch?

Spring rate is the ratio of the force required to deform a spring to the extent of the deformity. Spring pitch is the distance between two adjacent coils, measured from the midpoint of the spring material.

How to Calculate Pitch of Engine Valve Spring?

Pitch of Engine Valve Spring calculator 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 calculate 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 calculate Pitch of Engine Valve Spring using this online calculator? To use this online calculator for Pitch of Engine Valve Spring, enter Active Coils in Valve Spring (N), Wire Diameter of Valve Spring (d_wire), 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. Here is how the Pitch of Engine Valve Spring calculation can be explained with given input values -> 9028.574 = ((12+2)*0.0055+1.15*(8*340*12*0.046^3)/(98900000000*0.0055^4))/(12+1).

FAQ

What is Pitch of Engine 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 and is represented as p = ((N+2)*d_wire+1.15*(8*P*N*D^3)/(G*d_wire^4))/(N+1) or 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). 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, Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the 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, 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 & 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.

How to calculate Pitch of Engine 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 is calculated using 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 calculate Pitch of Engine Valve Spring, you need Active Coils in Valve Spring (N), Wire Diameter of Valve Spring (d_wire), Axial Force on Valve Spring (P), Mean Coil Diameter of Valve Spring (D) & Modulus of Rigidity of Valve Spring (G). With our tool, you need to enter the respective value for Active Coils in Valve Spring, Wire Diameter of Valve Spring, Axial Force on Valve Spring, Mean Coil Diameter of Valve Spring & Modulus of Rigidity of Valve Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Pitch of Valve spring?

In this formula, Pitch of Valve spring uses Active Coils in Valve Spring, Wire Diameter of Valve Spring, Axial Force on Valve Spring, Mean Coil Diameter of Valve Spring & Modulus of Rigidity of Valve Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)

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