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Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring Formula

GoMean Coil Diameter of Engine Valve Spring given Wire Diameter Formula

GoDiameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire Formula

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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. Check FAQs

D = {(\frac{G \cdot ({d w}^{4})}{8 \cdot (N) \cdot k})}^{\frac{1}{3}}

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

Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring Example

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Here is how the Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring equation looks like with Values.

Here is how the Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring equation looks like with Units.

Here is how the Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring equation looks like.

47.1387 = {(\frac{98900 \cdot ({5.5}^{4})}{8 \cdot (12) \cdot 9})}^{\frac{1}{3}}

47.1387mm = {(\frac{98900N/mm² \cdot ({5.5mm}^{4})}{8 \cdot (12) \cdot 9N/mm})}^{\frac{1}{3}}

47.1387 = {(\frac{98900 \cdot ({5.5}^{4})}{8 \cdot (12) \cdot 9})}^{\frac{1}{3}}

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Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring Solution

Follow our step by step solution on how to calculate Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring?

FIRST Step Consider the formula

D = {(\frac{G \cdot ({d w}^{4})}{8 \cdot (N) \cdot k})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

D = {(\frac{98900N/mm² \cdot ({5.5mm}^{4})}{8 \cdot (12) \cdot 9N/mm})}^{\frac{1}{3}}

Next Step Convert Units

∴

D = {(\frac{9.9E+10Pa \cdot ({0.0055m}^{4})}{8 \cdot (12) \cdot 9000N/m})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

D = {(\frac{9.9E+10 \cdot ({0.0055}^{4})}{8 \cdot (12) \cdot 9000})}^{\frac{1}{3}}

Next Step Evaluate

∴

D = 0.0471387182059765m

Next Step Convert to Output's Unit

∴

D = 47.1387182059765mm

LAST Step Rounding Answer

∴

D = 47.1387mm

Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring Formula Elements

Variables

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

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

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 Mean Coil Diameter of Valve Spring

Go Mean Coil Diameter of Engine Valve Spring given Wire Diameter

D = 8 \cdot d w

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

D = C \cdot (\sqrt{\frac{8 \cdot K \cdot P \cdot C}{π \cdot f s}})

Go Mean Coil Diameter of Engine Valve Spring given Total Turns of Spring

D = {(\frac{G \cdot ({d w}^{4})}{8 \cdot (((N t) - 2)) \cdot k})}^{\frac{1}{3}}

Go Diameter of Coil of Engine Valve Spring given Maximum Compression in Spring

D = {(\frac{G \cdot {d w}^{4} \cdot x}{8 \cdot P \cdot N})}^{\frac{1}{3}}

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 Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring?

Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring evaluator uses Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(Active Coils in Valve Spring)*Stiffness of Valve Spring))^(1/3) to evaluate the Mean Coil Diameter of Valve Spring, The Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring is defined as the average of the outer and inner coil diameters of an engine valve spring. Mean Coil Diameter of Valve Spring is denoted by D symbol.

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

FAQs on Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring

What is the formula to find Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring?

The formula of Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring is expressed as Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(Active Coils in Valve Spring)*Stiffness of Valve Spring))^(1/3). Here is an example- 47138.72 = ((98900000000*(0.0055^4))/(8*(12)*9000))^(1/3).

How to calculate Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring?

With Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (d_w), Active Coils in Valve Spring (N) & Stiffness of Valve Spring (k) we can find Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring using the formula - Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(Active Coils in Valve Spring)*Stiffness of Valve Spring))^(1/3).

What are the other ways to Calculate Mean Coil Diameter of Valve Spring?

Here are the different ways to Calculate Mean Coil Diameter of Valve Spring-

Mean Coil Diameter of Valve Spring=8*Wire Diameter of Valve Spring
Mean Coil Diameter of Valve Spring=Spring Index for 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)))
Mean Coil Diameter of Valve Spring=((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(((Total Coils in Valve Spring)-2))*Stiffness of Valve Spring))^(1/3)

Can the Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring be negative?

No, the Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring, measured in Length cannot be negative.

Which unit is used to measure Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring?

Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring can be measured.

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Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring Formula

​GoMean Coil Diameter of Engine Valve Spring given Wire Diameter Formula

​GoDiameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire Formula

Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring Example

Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring Solution

Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring Formula Elements

Other Formulas to find Mean Coil Diameter of Valve Spring

Other formulas in Valve Spring category

How to Evaluate Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring?

FAQs on Mean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring

Variable Name

GoMean Coil Diameter of Engine Valve Spring given Wire Diameter Formula

GoDiameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire Formula