Mean Coil Diameter of Engine Valve Spring given Number of Active 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%
✖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 Valve Spring [k]			+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 Engine Valve Spring given Number of Active turns of Spring [D]

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Formula

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Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring

Formula

`"D" = (("G"*("d"_{"wire"}^4))/(8*("N")*"k"))^(1/3)`

Example

`"47.13872mm"=(("98900N/mm²"*(("5.5mm")^4))/(8*("12")*"9N/mm"))^(1/3)`

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Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(Active Coils in Valve Spring)*Stiffness of Valve Spring))^(1/3)
D = ((G*(d_wire^4))/(8*(N)*k))^(1/3)
This formula uses 5 Variables

Variables Used

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.
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.
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.

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
Stiffness of Valve Spring: 9 Newton per Millimeter --> 9000 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = ((G*(d_wire^4))/(8*(N)*k))^(1/3) --> ((98900000000*(0.0055^4))/(8*(12)*9000))^(1/3)

Evaluating ... ...

D = 0.0471387182059765

STEP 3: Convert Result to Output's Unit

0.0471387182059765 Meter -->47.1387182059765 Millimeter (Check conversion here)

FINAL ANSWER

47.1387182059765 ≈ 47.13872 Millimeter <-- Mean Coil Diameter of Valve Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Valve Spring » Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring

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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

Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring Formula

What are the stresses in springs?

Under the compressive load, W acting on the spring, a coil of the spring is subjected to two types of stresses – direct shear stress and torsional shear stress due to twisting of the coil.

How to Calculate Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring?

Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring calculator uses Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(Active Coils in Valve Spring)*Stiffness of Valve Spring))^(1/3) to calculate the Mean Coil Diameter of Valve Spring, The Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring is defined as the average of the outer and inner coil diameters of an engine valve spring. Mean Coil Diameter of Valve Spring is denoted by D symbol.

How to calculate Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring using this online calculator? To use this online calculator for Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring, enter Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (d_wire), Active Coils in Valve Spring (N) & Stiffness of Valve Spring (k) and hit the calculate button. Here is how the Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring calculation can be explained with given input values -> 47138.72 = ((98900000000*(0.0055^4))/(8*(12)*9000))^(1/3).

FAQ

What is Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring?

The Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring is defined as the average of the outer and inner coil diameters of an engine valve spring and is represented as D = ((G*(d_wire^4))/(8*(N)*k))^(1/3) or Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(Active Coils in Valve Spring)*Stiffness of Valve Spring))^(1/3). 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 & 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.

How to calculate Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring?

The Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring is defined as the average of the outer and inner coil diameters of an engine valve spring is calculated using Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(Active Coils in Valve Spring)*Stiffness of Valve Spring))^(1/3). To calculate Mean Coil Diameter of Engine Valve Spring given Number of Active 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) & Stiffness of Valve Spring (k). 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 & Stiffness 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 Mean Coil Diameter of Valve Spring?

In this formula, Mean Coil Diameter of Valve Spring uses Modulus of Rigidity of Valve Spring, Wire Diameter of Valve Spring, Active Coils in Valve Spring & Stiffness of Valve Spring. We can use 4 other way(s) to calculate the same, which is/are as follows -

Mean Coil Diameter of Valve Spring = 8*Wire Diameter of Valve Spring
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)))
Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(((Total Coils in Valve Spring)-2))*Stiffness of Valve Spring))^(1/3)
Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4)*Maximum Compression in Valve Spring)/(8*(Axial Force on Valve Spring)*(Active Coils in Valve Spring)))^(1/3)

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