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Stiffness of Engine Valve Spring given Total Turns of Spring Formula

GoStiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass Formula

GoStiffness of Engine Valve Spring Formula

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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. Check FAQs

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

k - Stiffness of Valve Spring?G - Modulus of Rigidity of Valve Spring?d_w - Wire Diameter of Valve Spring?N - Active Coils in Valve Spring?D - Mean Coil Diameter of Valve Spring?

Stiffness of Engine Valve Spring given Total Turns of Spring Example

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Here is how the Stiffness of Engine Valve Spring given Total Turns of Spring equation looks like with Values.

Here is how the Stiffness of Engine Valve Spring given Total Turns of Spring equation looks like with Units.

Here is how the Stiffness of Engine Valve Spring given Total Turns of Spring equation looks like.

9.6851 = \frac{98900 \cdot {5.5}^{4}}{8 \cdot 12 \cdot 46^{3}}

9.6851N/mm = \frac{98900N/mm² \cdot {5.5mm}^{4}}{8 \cdot 12 \cdot {46mm}^{3}}

9.6851 = \frac{98900 \cdot {5.5}^{4}}{8 \cdot 12 \cdot 46^{3}}

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Stiffness of Engine Valve Spring given Total Turns of Spring Solution

Follow our step by step solution on how to calculate Stiffness of Engine Valve Spring given Total Turns of Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

k = \frac{98900N/mm² \cdot {5.5mm}^{4}}{8 \cdot 12 \cdot {46mm}^{3}}

Next Step Convert Units

∴

k = \frac{9.9E+10Pa \cdot {0.0055m}^{4}}{8 \cdot 12 \cdot {0.046m}^{3}}

Next Step Prepare to Evaluate

∴

k = \frac{9.9E+10 \cdot {0.0055}^{4}}{8 \cdot 12 \cdot {0.046}^{3}}

Next Step Evaluate

∴

k = 9685.06013212823N/m

Next Step Convert to Output's Unit

∴

k = 9.68506013212823N/mm

LAST Step Rounding Answer

∴

k = 9.6851N/mm

Stiffness of Engine Valve Spring given Total Turns of Spring Formula Elements

Variables

Stiffness of 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.

Symbol: k

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of Valve Spring

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

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

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

Other Formulas to find Stiffness of Valve Spring

Go Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass

k = 4 \cdot m \cdot {ω n}^{2}

Go Stiffness of Engine Valve Spring

k = \frac{P 2}{h max}

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 Stiffness of Engine Valve Spring given Total Turns of Spring?

Stiffness of Engine Valve Spring given Total Turns of Spring evaluator uses 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) to evaluate the Stiffness of Valve Spring, The Stiffness of engine valve spring given total turns of spring is the amount of resistive force per unit length offered by the engine valve spring to its deformation. Stiffness of Valve Spring is denoted by k symbol.

How to evaluate Stiffness of Engine Valve Spring given Total Turns of Spring using this online evaluator? To use this online evaluator for Stiffness of Engine Valve Spring given Total Turns of Spring, enter Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (d_w), Active Coils in Valve Spring (N) & Mean Coil Diameter of Valve Spring (D) and hit the calculate button.

FAQs on Stiffness of Engine Valve Spring given Total Turns of Spring

What is the formula to find Stiffness of Engine Valve Spring given Total Turns of Spring?

The formula of Stiffness of Engine Valve Spring given Total Turns of Spring is expressed as 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). Here is an example- 0.009685 = (98900000000*0.0055^4)/(8*12*0.046^3).

How to calculate Stiffness of Engine Valve Spring given Total Turns of Spring?

With Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (d_w), Active Coils in Valve Spring (N) & Mean Coil Diameter of Valve Spring (D) we can find Stiffness of Engine Valve Spring given Total Turns of Spring using the formula - 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).

What are the other ways to Calculate Stiffness of Valve Spring?

Here are the different ways to Calculate Stiffness of Valve Spring-

Stiffness of Valve Spring=4*Mass of Valve Spring*Natural Frequency Valve Spring^2
Stiffness of Valve Spring=Force to Lift Engine Valve/Lift of Valve

Can the Stiffness of Engine Valve Spring given Total Turns of Spring be negative?

No, the Stiffness of Engine Valve Spring given Total Turns of Spring, measured in Stiffness Constant cannot be negative.

Which unit is used to measure Stiffness of Engine Valve Spring given Total Turns of Spring?

Stiffness of Engine Valve Spring given Total Turns of Spring is usually measured using the Newton per Millimeter[N/mm] for Stiffness Constant. Newton per Meter[N/mm], Kilonewton per Millimeter[N/mm] are the few other units in which Stiffness of Engine Valve Spring given Total Turns of Spring can be measured.

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Stiffness of Engine Valve Spring given Total Turns of Spring Formula

​GoStiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass Formula

​GoStiffness of Engine Valve Spring Formula

Stiffness of Engine Valve Spring given Total Turns of Spring Example

Stiffness of Engine Valve Spring given Total Turns of Spring Solution

Stiffness of Engine Valve Spring given Total Turns of Spring Formula Elements

Other Formulas to find Stiffness of Valve Spring

Other formulas in Valve Spring category

How to Evaluate Stiffness of Engine Valve Spring given Total Turns of Spring?

FAQs on Stiffness of Engine Valve Spring given Total Turns of Spring

Variable Name

GoStiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass Formula

GoStiffness of Engine Valve Spring Formula