Modulus of Rigidity of Engine Valve Spring given Number of Active Turns of Spring Calculator

✖Axial Force on Valve Spring is the force acting at the ends of spring trying to compress or expand it in the axial direction.ⓘ Axial Force on Valve Spring [P]			+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%
✖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%
✖Maximum Compression in Valve Spring is the maximum amount of axial deflection in the valve spring.ⓘ Maximum Compression in Valve Spring [x]			+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%

✖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 Engine Valve Spring given Number of Active Turns of Spring [G]

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Modulus of Rigidity of Engine Valve Spring given Number of Active Turns of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Rigidity of Valve Spring = (8*Axial Force on Valve Spring*(Total Coils in Valve Spring-2)*Mean Coil Diameter of Valve Spring^3)/(Maximum Compression in Valve Spring*Wire Diameter of Valve Spring^4)
G = (8*P*(N_t-2)*D^3)/(x*d_w^4)
This formula uses 6 Variables

Variables Used

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.
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.
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.
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.
Maximum Compression in Valve Spring - (Measured in Meter) - Maximum Compression in Valve Spring is the maximum amount of axial deflection in 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.

STEP 1: Convert Input(s) to Base Unit

Axial Force on Valve Spring: 340 Newton --> 340 Newton No Conversion Required
Total Coils in Valve Spring: 15 --> No Conversion Required
Mean Coil Diameter of Valve Spring: 46 Millimeter --> 0.046 Meter (Check conversion here)
Maximum Compression in Valve Spring: 34.8 Millimeter --> 0.0348 Meter (Check conversion here)
Wire Diameter of Valve Spring: 5.5 Millimeter --> 0.0055 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = (8*P*(N_t-2)*D^3)/(x*d_w^4) --> (8*340*(15-2)*0.046^3)/(0.0348*0.0055^4)

Evaluating ... ...

G = 108082591557.169

STEP 3: Convert Result to Output's Unit

108082591557.169 Pascal -->108082.591557169 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

108082.591557169 ≈ 108082.6 Newton per Square Millimeter <-- Modulus of Rigidity of Valve Spring

(Calculation completed in 00.009 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Mechanical » Valve Spring » Modulus of Rigidity 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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< 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

Modulus of Rigidity of Engine Valve Spring given Number of Active Turns of Spring Formula

LaTeX Go

Materials used for springs

Steel alloys are the most common material used for spring manufacturing. However, a range of materials and types of steel alloys can be used:
1. Low-Alloy Steel
2. Cold-Formed Steel
3. Oil Tempered
4. Bainitic Hardened Steel
5. Stainless Steel
6. Copper & Titanium Alloys

How to Calculate Modulus of Rigidity of Engine Valve Spring given Number of Active Turns of Spring?

Modulus of Rigidity of Engine Valve Spring given Number of Active Turns of Spring calculator uses Modulus of Rigidity of Valve Spring = (8*Axial Force on Valve Spring*(Total Coils in Valve Spring-2)*Mean Coil Diameter of Valve Spring^3)/(Maximum Compression in Valve Spring*Wire Diameter of Valve Spring^4) to calculate the Modulus of Rigidity of Valve Spring, Modulus of rigidity of engine valve spring given number of active turns of spring is the measure of the rigidity of the spring wire material. It is the elastic coefficient when a shear force is applied resulting in lateral deformation and gives us a measure of the body's rigidity. Modulus of Rigidity of Valve Spring is denoted by G symbol.

How to calculate Modulus of Rigidity of Engine Valve Spring given Number of Active Turns of Spring using this online calculator? To use this online calculator for Modulus of Rigidity of Engine Valve Spring given Number of Active Turns of Spring, enter Axial Force on Valve Spring (P), Total Coils in Valve Spring (N_t), Mean Coil Diameter of Valve Spring (D), Maximum Compression in Valve Spring (x) & Wire Diameter of Valve Spring (d_w) and hit the calculate button. Here is how the Modulus of Rigidity of Engine Valve Spring given Number of Active Turns of Spring calculation can be explained with given input values -> 0.108083 = (8*340*(15-2)*0.046^3)/(0.0348*0.0055^4).

FAQ

What is Modulus of Rigidity of Engine Valve Spring given Number of Active Turns of Spring?

Modulus of rigidity of engine valve spring given number of active turns of spring is the measure of the rigidity of the spring wire material. It is the elastic coefficient when a shear force is applied resulting in lateral deformation and gives us a measure of the body's rigidity and is represented as G = (8*P*(N_t-2)*D^3)/(x*d_w^4) or Modulus of Rigidity of Valve Spring = (8*Axial Force on Valve Spring*(Total Coils in Valve Spring-2)*Mean Coil Diameter of Valve Spring^3)/(Maximum Compression in Valve Spring*Wire Diameter of Valve Spring^4). Axial Force on Valve Spring is the force acting at the ends of spring trying to compress or expand it in the axial direction, Total Coils in Valve Spring is the total number of coils or turns of spring including the coils at the ends 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, Maximum Compression in Valve Spring is the maximum amount of axial deflection in 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.

How to calculate Modulus of Rigidity of Engine Valve Spring given Number of Active Turns of Spring?

Modulus of rigidity of engine valve spring given number of active turns of spring is the measure of the rigidity of the spring wire material. It is the elastic coefficient when a shear force is applied resulting in lateral deformation and gives us a measure of the body's rigidity is calculated using Modulus of Rigidity of Valve Spring = (8*Axial Force on Valve Spring*(Total Coils in Valve Spring-2)*Mean Coil Diameter of Valve Spring^3)/(Maximum Compression in Valve Spring*Wire Diameter of Valve Spring^4). To calculate Modulus of Rigidity of Engine Valve Spring given Number of Active Turns of Spring, you need Axial Force on Valve Spring (P), Total Coils in Valve Spring (N_t), Mean Coil Diameter of Valve Spring (D), Maximum Compression in Valve Spring (x) & Wire Diameter of Valve Spring (d_w). With our tool, you need to enter the respective value for Axial Force on Valve Spring, Total Coils in Valve Spring, Mean Coil Diameter of Valve Spring, Maximum Compression in Valve Spring & Wire 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 Modulus of Rigidity of Valve Spring?

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

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

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