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)*dw+1.15*(8*P*N*D^3)/(G*dw^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)*dw+1.15*(8*P*N*D^3)/(G*dw^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)

Credits

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Created by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Valve Spring Calculators

Diameter of Wire of Engine Valve Spring
​ LaTeX ​ 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))
Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire
​ LaTeX ​ 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
​ LaTeX ​ 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)
Diameter of Wire of Engine Valve Spring given Mean Coil Diameter
​ LaTeX ​ Go Wire Diameter of Valve Spring = Mean Coil Diameter of Valve Spring/8

Pitch of Engine Valve Spring Formula

​LaTeX ​Go
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)*dw+1.15*(8*P*N*D^3)/(G*dw^4))/(N+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?

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 (dw), 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)*dw+1.15*(8*P*N*D^3)/(G*dw^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 (dw), 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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