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Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring Formula

GoModulus of Rigidity of Engine Valve Spring given Total Number of Turns of Spring Formula

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

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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. Check FAQs

G = \frac{8 \cdot P \cdot N \cdot D^{3}}{x \cdot {d w}^{4}}

G - Modulus of Rigidity of Valve Spring?P - Axial Force on Valve Spring?N - Active Coils in Valve Spring?D - Mean Coil Diameter of Valve Spring?x - Maximum Compression in Valve Spring?d_w - Wire Diameter of Valve Spring?

Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring Example

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Here is how the Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring equation looks like with Values.

Here is how the Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring equation looks like with Units.

Here is how the Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring equation looks like.

99768.5461 = \frac{8 \cdot 340 \cdot 12 \cdot 46^{3}}{34.8 \cdot {5.5}^{4}}

99768.5461N/mm² = \frac{8 \cdot 340N \cdot 12 \cdot {46mm}^{3}}{34.8mm \cdot {5.5mm}^{4}}

99768.5461 = \frac{8 \cdot 340 \cdot 12 \cdot 46^{3}}{34.8 \cdot {5.5}^{4}}

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Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring Solution

Follow our step by step solution on how to calculate Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring?

FIRST Step Consider the formula

G = \frac{8 \cdot P \cdot N \cdot D^{3}}{x \cdot {d w}^{4}}

Next Step Substitute values of Variables

∴

G = \frac{8 \cdot 340N \cdot 12 \cdot {46mm}^{3}}{34.8mm \cdot {5.5mm}^{4}}

Next Step Convert Units

∴

G = \frac{8 \cdot 340N \cdot 12 \cdot {0.046m}^{3}}{0.0348m \cdot {0.0055m}^{4}}

Next Step Prepare to Evaluate

∴

G = \frac{8 \cdot 340 \cdot 12 \cdot {0.046}^{3}}{0.0348 \cdot {0.0055}^{4}}

Next Step Evaluate

∴

G = 99768546052.7711Pa

Next Step Convert to Output's Unit

∴

G = 99768.5460527711N/mm²

LAST Step Rounding Answer

∴

G = 99768.5461N/mm²

Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring Formula Elements

Variables

Modulus of Rigidity 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.

Symbol: G

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Valve Spring

Axial Force on Valve Spring

Axial Force on Valve Spring is the force acting at the ends of spring trying to compress or expand it in the axial direction.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Force on Valve 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.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Active Coils in Valve Spring

Mean Coil Diameter of 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.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Coil Diameter of Valve Spring

Maximum Compression in Valve Spring

Maximum Compression in Valve Spring is the maximum amount of axial deflection in the valve spring.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Maximum Compression in Valve Spring

Wire Diameter of Valve Spring

Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the spring.

Symbol: d_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Wire Diameter of Valve Spring

Other Formulas to find Modulus of Rigidity of Valve Spring

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

G = \frac{8 \cdot D^{3} \cdot k \cdot (N t - 2)}{{d w}^{4}}

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

G = \frac{8 \cdot P \cdot (N t - 2) \cdot D^{3}}{x \cdot {d w}^{4}}

Other formulas in Valve Spring category

Go Diameter of Wire of Engine Valve Spring given Mean Coil Diameter

d w = \frac{D}{8}

Go Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire

d w = \sqrt{\frac{8 \cdot K \cdot P \cdot C}{π \cdot f s}}

Go Diameter of Wire of Engine Valve Spring

d w = \sqrt{\frac{8 \cdot K \cdot ((P i + k \cdot h max) \cdot C)}{π \cdot f s}}

Go Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter

C = \frac{π \cdot f s \cdot {d w}^{2}}{8 \cdot K \cdot P}

How to Evaluate Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring?

Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring evaluator uses 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) to evaluate the Modulus of Rigidity of Valve Spring, Modulus of rigidity of engine valve spring given maximum compression in 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 evaluate Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring using this online evaluator? To use this online evaluator for Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring, enter Axial Force on Valve Spring (P), Active Coils in Valve Spring (N), 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.

FAQs on Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring

What is the formula to find Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring?

The formula of Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring is expressed as 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). Here is an example- 0.099769 = (8*340*12*0.046^3)/(0.0348*0.0055^4).

How to calculate Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring?

With Axial Force on Valve Spring (P), Active Coils in Valve Spring (N), Mean Coil Diameter of Valve Spring (D), Maximum Compression in Valve Spring (x) & Wire Diameter of Valve Spring (d_w) we can find Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring using the formula - 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).

What are the other ways to Calculate Modulus of Rigidity of Valve Spring?

Here are the different ways to Calculate Modulus of Rigidity of Valve Spring-

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)
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)

Can the Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring be negative?

No, the Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring, measured in Stress cannot be negative.

Which unit is used to measure Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring?

Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring can be measured.

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Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring Formula

​GoModulus of Rigidity of Engine Valve Spring given Total Number of Turns of Spring Formula

​GoModulus of Rigidity of Engine Valve Spring given Number of Active Turns of Spring Formula

Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring Example

Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring Solution

Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring Formula Elements

Other Formulas to find Modulus of Rigidity of Valve Spring

Other formulas in Valve Spring category

How to Evaluate Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring?

FAQs on Modulus of Rigidity of Engine Valve Spring given Maximum Compression in Spring

Variable Name

GoModulus of Rigidity of Engine Valve Spring given Total Number of Turns of Spring Formula

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