Number of Active Turns of Engine Valve Spring Calculator

✖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_w]			+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 Valve Spring [k]			+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.ⓘ Number of Active Turns of Engine Valve Spring [N]

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Number of Active Turns of Engine Valve Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Active Coils in 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)
N = (G*d_w^4)/(8*D^3*k)
This formula uses 5 Variables

Variables Used

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.
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.
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.
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)
Mean Coil Diameter of Valve Spring: 46 Millimeter --> 0.046 Meter (Check conversion here)
Stiffness of Valve Spring: 9 Newton per Millimeter --> 9000 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (G*d_w^4)/(8*D^3*k) --> (98900000000*0.0055^4)/(8*0.046^3*9000)

Evaluating ... ...

N = 12.9134135095043

STEP 3: Convert Result to Output's Unit

12.9134135095043 --> No Conversion Required

FINAL ANSWER

12.9134135095043 ≈ 12.91341 <-- Active Coils in Valve Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Mechanical » Valve Spring » Number of Active Turns of Engine Valve Spring

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Created by Saurabh Patil

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

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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

Number of Active Turns of Engine Valve Spring Formula

LaTeX Go

Active Coils in 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)
N = (G*d_w^4)/(8*D^3*k)

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 Number of Active Turns of Engine Valve Spring?

Number of Active Turns of Engine Valve Spring calculator uses Active Coils in 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) to calculate the Active Coils in Valve Spring, The Number of active turns of engine valve spring is the number of coils or turns in the engine valve spring that actually contributes to the load-bearing capacity of the spring. Active Coils in Valve Spring is denoted by N symbol.

How to calculate Number of Active Turns of Engine Valve Spring using this online calculator? To use this online calculator for Number of Active Turns of Engine Valve Spring, enter Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (d_w), Mean Coil Diameter of Valve Spring (D) & Stiffness of Valve Spring (k) and hit the calculate button. Here is how the Number of Active Turns of Engine Valve Spring calculation can be explained with given input values -> 12.91341 = (98900000000*0.0055^4)/(8*0.046^3*9000).

FAQ

What is Number of Active Turns of Engine Valve Spring?

The Number of active turns of engine valve spring is the number of coils or turns in the engine valve spring that actually contributes to the load-bearing capacity of the spring and is represented as N = (G*d_w^4)/(8*D^3*k) or Active Coils in 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). 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, 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 & 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 Number of Active Turns of Engine Valve Spring?

The Number of active turns of engine valve spring is the number of coils or turns in the engine valve spring that actually contributes to the load-bearing capacity of the spring is calculated using Active Coils in 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). To calculate Number of Active Turns of Engine Valve Spring, you need Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (d_w), Mean Coil Diameter of Valve Spring (D) & 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, Mean Coil Diameter of 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 Active Coils in Valve Spring?

In this formula, Active Coils in Valve Spring uses Modulus of Rigidity of Valve Spring, Wire Diameter of Valve Spring, Mean Coil Diameter of Valve Spring & Stiffness of Valve Spring. We can use 3 other way(s) to calculate the same, which is/are as follows -

Active Coils in Valve Spring = Total Coils in Valve Spring-2
Active Coils in 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*Mean Coil Diameter of Valve Spring^3)
Active Coils in Valve Spring = Free Length of Valve Spring/Pitch of Valve Spring-1

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