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Solid Length of Engine Valve Spring Formula

GoSolid Length of Engine Valve Spring given Number of Active Turns of Spring and Wire Diameter Formula

GoSolid Length of Engine Valve Spring given Total Number of Turns of Spring and Wire Diameter Formula

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Solid Length of Valve Spring is defined as the axial length of the spring which is so compressed that the adjacent coils touch each other. Check FAQs

L = ((\frac{G \cdot {d w}^{4}}{8 \cdot D^{3} \cdot k}) + 2) \cdot d w

L - Solid Length of Valve Spring?G - Modulus of Rigidity of Valve Spring?d_w - Wire Diameter of Valve Spring?D - Mean Coil Diameter of Valve Spring?k - Stiffness of Valve Spring?

Solid Length of Engine Valve Spring Example

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Here is how the Solid Length of Engine Valve Spring equation looks like with Values.

Here is how the Solid Length of Engine Valve Spring equation looks like with Units.

Here is how the Solid Length of Engine Valve Spring equation looks like.

82.0238 = ((\frac{98900 \cdot {5.5}^{4}}{8 \cdot 46^{3} \cdot 9}) + 2) \cdot 5.5

82.0238mm = ((\frac{98900N/mm² \cdot {5.5mm}^{4}}{8 \cdot {46mm}^{3} \cdot 9N/mm}) + 2) \cdot 5.5mm

82.0238 = ((\frac{98900 \cdot {5.5}^{4}}{8 \cdot 46^{3} \cdot 9}) + 2) \cdot 5.5

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Solid Length of Engine Valve Spring Solution

Follow our step by step solution on how to calculate Solid Length of Engine Valve Spring?

FIRST Step Consider the formula

L = ((\frac{G \cdot {d w}^{4}}{8 \cdot D^{3} \cdot k}) + 2) \cdot d w

Next Step Substitute values of Variables

∴

L = ((\frac{98900N/mm² \cdot {5.5mm}^{4}}{8 \cdot {46mm}^{3} \cdot 9N/mm}) + 2) \cdot 5.5mm

Next Step Convert Units

∴

L = ((\frac{9.9E+10Pa \cdot {0.0055m}^{4}}{8 \cdot {0.046m}^{3} \cdot 9000N/m}) + 2) \cdot 0.0055m

Next Step Prepare to Evaluate

∴

L = ((\frac{9.9E+10 \cdot {0.0055}^{4}}{8 \cdot {0.046}^{3} \cdot 9000}) + 2) \cdot 0.0055

Next Step Evaluate

∴

L = 0.0820237743022737m

Next Step Convert to Output's Unit

∴

L = 82.0237743022737mm

LAST Step Rounding Answer

∴

L = 82.0238mm

Solid Length of Engine Valve Spring Formula Elements

Variables

Solid Length of Valve Spring

Solid Length of Valve Spring is defined as the axial length of the spring which is so compressed that the adjacent coils touch each other.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Solid Length 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

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

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

Other Formulas to find Solid Length of Valve Spring

Go Solid Length of Engine Valve Spring given Number of Active Turns of Spring and Wire Diameter

L = (N + 2) \cdot d w

Go Solid Length of Engine Valve Spring given Total Number of Turns of Spring and Wire Diameter

L = N t \cdot d w

Go Solid Length of Engine Valve Spring given its Free Length and Maximum Compression

L = L f - 1.15 \cdot x

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 Solid Length of Engine Valve Spring?

Solid Length of Engine Valve Spring evaluator uses Solid Length of 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))+2)*Wire Diameter of Valve Spring to evaluate the Solid Length of Valve Spring, Solid length of engine valve spring is defined as the axial length of the engine valve spring which is so compressed that the adjacent coils of the spring touch each other. Solid Length of Valve Spring is denoted by L symbol.

How to evaluate Solid Length of Engine Valve Spring using this online evaluator? To use this online evaluator for Solid Length 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.

FAQs on Solid Length of Engine Valve Spring

What is the formula to find Solid Length of Engine Valve Spring?

The formula of Solid Length of Engine Valve Spring is expressed as Solid Length of 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))+2)*Wire Diameter of Valve Spring. Here is an example- 82023.77 = (((98900000000*0.0055^4)/(8*0.046^3*9000))+2)*0.0055.

How to calculate Solid Length of Engine Valve Spring?

With 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) we can find Solid Length of Engine Valve Spring using the formula - Solid Length of 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))+2)*Wire Diameter of Valve Spring.

What are the other ways to Calculate Solid Length of Valve Spring?

Here are the different ways to Calculate Solid Length of Valve Spring-

Solid Length of Valve Spring=(Active Coils in Valve Spring+2)*Wire Diameter of Valve Spring
Solid Length of Valve Spring=Total Coils in Valve Spring*Wire Diameter of Valve Spring
Solid Length of Valve Spring=Free Length of Valve Spring-1.15*Maximum Compression in Valve Spring

Can the Solid Length of Engine Valve Spring be negative?

No, the Solid Length of Engine Valve Spring, measured in Length cannot be negative.

Which unit is used to measure Solid Length of Engine Valve Spring?

Solid Length of Engine Valve Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Solid Length of Engine Valve Spring can be measured.

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Solid Length of Engine Valve Spring Formula

​GoSolid Length of Engine Valve Spring given Number of Active Turns of Spring and Wire Diameter Formula

​GoSolid Length of Engine Valve Spring given Total Number of Turns of Spring and Wire Diameter Formula

Solid Length of Engine Valve Spring Example

Solid Length of Engine Valve Spring Solution

Solid Length of Engine Valve Spring Formula Elements

Other Formulas to find Solid Length of Valve Spring

Other formulas in Valve Spring category

How to Evaluate Solid Length of Engine Valve Spring?

FAQs on Solid Length of Engine Valve Spring

Variable Name

GoSolid Length of Engine Valve Spring given Number of Active Turns of Spring and Wire Diameter Formula

GoSolid Length of Engine Valve Spring given Total Number of Turns of Spring and Wire Diameter Formula