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

✖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%
✖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%
✖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 Total Number of Turns of Spring [G]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
G = (8*D^3*k*(N_t-2))/(d_w^4)
This formula uses 5 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.
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.
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.
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

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)
Total Coils in Valve Spring: 15 --> No Conversion Required
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*D^3*k*(N_t-2))/(d_w^4) --> (8*0.046^3*9000*(15-2))/(0.0055^4)

Evaluating ... ...

G = 99563140222.6624

STEP 3: Convert Result to Output's Unit

99563140222.6624 Pascal -->99563.1402226624 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

99563.1402226624 ≈ 99563.14 Newton per Square Millimeter <-- Modulus of Rigidity of Valve Spring

(Calculation completed in 00.020 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 Total Number of Turns of Spring

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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 Total Number of Turns of Spring Formula

LaTeX Go

What is a helical spring?

The helical spring is a type of spring in which the spring wire is wrapped in a coil that resembles a screw thread and is probably the most commonly used mechanical spring. It can be used to carry, pull, or push loads.

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

Modulus of Rigidity of Engine Valve Spring given Total Number of Turns of Spring calculator uses 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) to calculate the Modulus of Rigidity of Valve Spring, Modulus of rigidity of engine valve spring given total number of 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 Total Number of Turns of Spring using this online calculator? To use this online calculator for Modulus of Rigidity of Engine Valve Spring given Total Number of Turns of Spring, enter Mean Coil Diameter of Valve Spring (D), Stiffness of Valve Spring (k), Total Coils in Valve Spring (N_t) & Wire Diameter of Valve Spring (d_w) and hit the calculate button. Here is how the Modulus of Rigidity of Engine Valve Spring given Total Number of Turns of Spring calculation can be explained with given input values -> 0.099563 = (8*0.046^3*9000*(15-2))/(0.0055^4).

FAQ

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

Modulus of rigidity of engine valve spring given total number of 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*D^3*k*(N_t-2))/(d_w^4) or 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). 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, Total Coils in Valve Spring is the total number of coils or turns of spring including the coils at the ends of the 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 Total Number of Turns of Spring?

Modulus of rigidity of engine valve spring given total number of 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*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring*(Total Coils in Valve Spring-2))/(Wire Diameter of Valve Spring^4). To calculate Modulus of Rigidity of Engine Valve Spring given Total Number of Turns of Spring, you need Mean Coil Diameter of Valve Spring (D), Stiffness of Valve Spring (k), Total Coils in Valve Spring (N_t) & Wire Diameter of Valve Spring (d_w). With our tool, you need to enter the respective value for Mean Coil Diameter of Valve Spring, Stiffness of Valve Spring, Total Coils 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 Mean Coil Diameter of Valve Spring, Stiffness of Valve Spring, Total Coils 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*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)

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