Stiffness of Engine Valve Spring given Total Turns of Spring Calculator

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Design of IC Engine Components

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Engine Performance Parameters

Fuel Injection in IC Engine

Fundamentals of IC Engine

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✖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%
✖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%
✖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%
✖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%

✖Stiffness of Valve Spring is a measure of the resistance offered by an elastic spring to deformation, every object in this universe has some stiffness.ⓘ Stiffness of Engine Valve Spring given Total Turns of Spring [k]

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Formula

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Stiffness of Engine Valve Spring given Total Turns of Spring

Formula

`"k" = ("G"*"d"_{"wire"}^4)/(8*"N"*"D"^3)`

Example

`"9.68506N/mm"=("98900N/mm²"*("5.5mm")^4)/(8*"12"*("46mm")^3)`

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Stiffness of Engine Valve Spring given Total Turns of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
k = (G*d_wire^4)/(8*N*D^3)
This formula uses 5 Variables

Variables Used

Stiffness of Valve Spring - (Measured in Newton per Meter) - Stiffness of Valve Spring is a measure of the resistance offered by an elastic spring to deformation, every object in this universe has some stiffness.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = (G*d_wire^4)/(8*N*D^3) --> (98900000000*0.0055^4)/(8*12*0.046^3)

Evaluating ... ...

k = 9685.06013212823

STEP 3: Convert Result to Output's Unit

9685.06013212823 Newton per Meter -->9.68506013212823 Newton per Millimeter (Check conversion here)

FINAL ANSWER

9.68506013212823 ≈ 9.68506 Newton per Millimeter <-- Stiffness of Valve Spring

(Calculation completed in 00.004 seconds)

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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

Stiffness of Engine Valve Spring given Total Turns of Spring Formula

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)
k = (G*d_wire^4)/(8*N*D^3)

Why is shot peening done?

Maximum stress occurs at the wire surface, and any surface defects, therefore, reduce fatigue life. Shot peening can improve fatigue life by creating a residually-stressed surface area that resists fatigue cracks.

How to Calculate Stiffness of Engine Valve Spring given Total Turns of Spring?

Stiffness of Engine Valve Spring given Total Turns of Spring calculator uses 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) to calculate the Stiffness of Valve Spring, The Stiffness of engine valve spring given total turns of spring is the amount of resistive force per unit length offered by the engine valve spring to its deformation. Stiffness of Valve Spring is denoted by k symbol.

How to calculate Stiffness of Engine Valve Spring given Total Turns of Spring using this online calculator? To use this online calculator for Stiffness of Engine Valve Spring given Total Turns of Spring, enter Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (d_wire), Active Coils in Valve Spring (N) & Mean Coil Diameter of Valve Spring (D) and hit the calculate button. Here is how the Stiffness of Engine Valve Spring given Total Turns of Spring calculation can be explained with given input values -> 0.009685 = (98900000000*0.0055^4)/(8*12*0.046^3).

FAQ

What is Stiffness of Engine Valve Spring given Total Turns of Spring?

The Stiffness of engine valve spring given total turns of spring is the amount of resistive force per unit length offered by the engine valve spring to its deformation and is represented as k = (G*d_wire^4)/(8*N*D^3) or 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). 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, Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the 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 & 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.

How to calculate Stiffness of Engine Valve Spring given Total Turns of Spring?

The Stiffness of engine valve spring given total turns of spring is the amount of resistive force per unit length offered by the engine valve spring to its deformation is calculated using 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). To calculate Stiffness of Engine Valve Spring given Total Turns of Spring, you need Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (d_wire), Active Coils in Valve Spring (N) & Mean Coil Diameter of Valve Spring (D). With our tool, you need to enter the respective value for Modulus of Rigidity of Valve Spring, Wire Diameter of Valve Spring, Active Coils in Valve Spring & Mean Coil Diameter 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 Stiffness of Valve Spring?

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

Stiffness of Valve Spring = 4*Mass of Valve Spring*Natural Frequency Valve Spring^2
Stiffness of Valve Spring = Force to Lift Engine Valve/Lift of Valve

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