Pitch of Engine Valve Spring given its Free Length and Total Number of Turns 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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✖Free Length of Valve Spring is defined as the axial length of an unloaded helical compression spring. In In this case, no external force acts on the spring.ⓘ Free Length of Valve Spring [L_f]			+10% -10%
✖Total Coils in Valve Spring is the total number of coils or turns of spring including the coils at the ends of the spring.ⓘ Total Coils in Valve Spring [N_t]			+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 given its Free Length and Total Number of Turns [p]

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Formula

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

Formula

`"p" = ("L"_{"f"})/("N"_{"t"}-1)`

Example

`"9.285714mm"=("130mm")/("15"-1)`

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

STEP 0: Pre-Calculation Summary

Formula Used

Pitch of Valve spring = (Free Length of Valve Spring)/(Total Coils in Valve Spring-1)
p = (L_f)/(N_t-1)
This formula uses 3 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.
Free Length of Valve Spring - (Measured in Meter) - Free Length of Valve Spring is defined as the axial length of an unloaded helical compression spring. In In this case, no external force acts on the spring.
Total Coils in Valve Spring - Total Coils in Valve Spring is the total number of coils or turns of spring including the coils at the ends of the spring.

STEP 1: Convert Input(s) to Base Unit

Free Length of Valve Spring: 130 Millimeter --> 0.13 Meter (Check conversion here)
Total Coils in Valve Spring: 15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = (L_f)/(N_t-1) --> (0.13)/(15-1)

Evaluating ... ...

p = 0.00928571428571429

STEP 3: Convert Result to Output's Unit

0.00928571428571429 Meter -->9.28571428571429 Millimeter (Check conversion here)

FINAL ANSWER

9.28571428571429 ≈ 9.285714 Millimeter <-- Pitch of Valve spring

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Valve Spring » Pitch of Engine Valve Spring given its Free Length and Total Number of Turns

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Created by Saurabh Patil

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

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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 given its Free Length and Total Number of Turns Formula

Pitch of Valve spring = (Free Length of Valve Spring)/(Total Coils in Valve Spring-1)
p = (L_f)/(N_t-1)

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 given its Free Length and Total Number of Turns?

Pitch of Engine Valve Spring given its Free Length and Total Number of Turns calculator uses Pitch of Valve spring = (Free Length of Valve Spring)/(Total Coils in Valve Spring-1) to calculate the Pitch of Valve spring, Pitch of engine valve spring given its free length and total number of turns 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 given its Free Length and Total Number of Turns using this online calculator? To use this online calculator for Pitch of Engine Valve Spring given its Free Length and Total Number of Turns, enter Free Length of Valve Spring (L_f) & Total Coils in Valve Spring (N_t) and hit the calculate button. Here is how the Pitch of Engine Valve Spring given its Free Length and Total Number of Turns calculation can be explained with given input values -> 9285.714 = (0.13)/(15-1).

FAQ

What is Pitch of Engine Valve Spring given its Free Length and Total Number of Turns?

Pitch of engine valve spring given its free length and total number of turns 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 = (L_f)/(N_t-1) or Pitch of Valve spring = (Free Length of Valve Spring)/(Total Coils in Valve Spring-1). Free Length of Valve Spring is defined as the axial length of an unloaded helical compression spring. In In this case, no external force acts on the spring & Total Coils in Valve Spring is the total number of coils or turns of spring including the coils at the ends of the spring.

How to calculate Pitch of Engine Valve Spring given its Free Length and Total Number of Turns?

Pitch of engine valve spring given its free length and total number of turns 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 = (Free Length of Valve Spring)/(Total Coils in Valve Spring-1). To calculate Pitch of Engine Valve Spring given its Free Length and Total Number of Turns, you need Free Length of Valve Spring (L_f) & Total Coils in Valve Spring (N_t). With our tool, you need to enter the respective value for Free Length of Valve Spring & Total Coils in 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 Free Length of Valve Spring & Total Coils in 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)/(Active Coils in Valve Spring+1)
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)

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