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

GoMean Coil Diameter of Engine Valve Spring given Wire Diameter Formula

GoMean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring 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 = C \cdot (\sqrt{\frac{8 \cdot K \cdot P \cdot C}{π \cdot f s}})

D - Mean Coil Diameter of Valve Spring?C - Spring Index for Valve Spring?K - Wahl Factor of Valve Spring?P - Axial Force on Valve Spring?f_s - Shear Stress in Valve Spring?π - Archimedes' constant?

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

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Here is how the Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire equation looks like with Values.

Here is how the Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire equation looks like with Units.

Here is how the Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire equation looks like.

42.109 = 8 \cdot (\sqrt{\frac{8 \cdot 1.2 \cdot 340 \cdot 8}{3.1416 \cdot 300}})

42.109mm = 8 \cdot (\sqrt{\frac{8 \cdot 1.2 \cdot 340N \cdot 8}{3.1416 \cdot 300N/mm²}})

42.109 = 8 \cdot (\sqrt{\frac{8 \cdot 1.2 \cdot 340 \cdot 8}{3.1416 \cdot 300}})

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

Follow our step by step solution on how to calculate Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = 8 \cdot (\sqrt{\frac{8 \cdot 1.2 \cdot 340N \cdot 8}{π \cdot 300N/mm²}})

Next Step Substitute values of Constants

∴

D = 8 \cdot (\sqrt{\frac{8 \cdot 1.2 \cdot 340N \cdot 8}{3.1416 \cdot 300N/mm²}})

Next Step Convert Units

∴

D = 8 \cdot (\sqrt{\frac{8 \cdot 1.2 \cdot 340N \cdot 8}{3.1416 \cdot 3E+8Pa}})

Next Step Prepare to Evaluate

∴

D = 8 \cdot (\sqrt{\frac{8 \cdot 1.2 \cdot 340 \cdot 8}{3.1416 \cdot 3E+8}})

Next Step Evaluate

∴

D = 0.0421089577118691m

Next Step Convert to Output's Unit

∴

D = 42.1089577118691mm

LAST Step Rounding Answer

∴

D = 42.109mm

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

Variables

Constants

Functions

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

Spring Index for Valve Spring

Spring Index for Valve Spring is the ratio of the mean coil diameter of the spring to the diameter of the spring Wire.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Spring Index for Valve Spring

Wahl Factor of Valve Spring

Wahl Factor of Valve Spring is a stress factor used in order to take into account the effect of direct shear and change in coil curvature.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wahl Factor 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

Shear Stress in Valve Spring

Shear Stress in Valve Spring is the stress induced into the spring due to its compression and expansion.

Symbol: f_s

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Valve Spring

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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

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

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

Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire evaluator uses 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))) to evaluate the Mean Coil Diameter of Valve Spring, The Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire 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 Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire using this online evaluator? To use this online evaluator for Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire, enter Spring Index for Valve Spring (C), Wahl Factor of Valve Spring (K), Axial Force on Valve Spring (P) & Shear Stress in Valve Spring (f_s) and hit the calculate button.

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

What is the formula to find Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire?

The formula of Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire is expressed as 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))). Here is an example- 42108.96 = 8*(sqrt((8*1.2*340*8)/(pi*300000000))).

How to calculate Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire?

With Spring Index for Valve Spring (C), Wahl Factor of Valve Spring (K), Axial Force on Valve Spring (P) & Shear Stress in Valve Spring (f_s) we can find Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire using the formula - 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))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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=((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(Active Coils in Valve Spring)*Stiffness of Valve Spring))^(1/3)
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 Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire be negative?

No, the Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire, measured in Length cannot be negative.

Which unit is used to measure Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire?

Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire can be measured.

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

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

​GoMean Coil Diameter of Engine Valve Spring given Number of Active turns of Spring Formula

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

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

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

Other Formulas to find Mean Coil Diameter of Valve Spring

Other formulas in Valve Spring category

How to Evaluate Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire?

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

Variable Name

GoMean Coil Diameter of Engine Valve Spring given Wire Diameter Formula

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