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Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring Formula

GoDiameter of Wire of Engine Valve Spring given Mean Coil Diameter Formula

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

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

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

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

Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring Example

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

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

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

5.512 = {(\frac{8 \cdot 340 \cdot 12 \cdot 46^{3}}{98900 \cdot 34.8})}^{\frac{1}{4}}

5.512mm = {(\frac{8 \cdot 340N \cdot 12 \cdot {46mm}^{3}}{98900N/mm² \cdot 34.8mm})}^{\frac{1}{4}}

5.512 = {(\frac{8 \cdot 340 \cdot 12 \cdot 46^{3}}{98900 \cdot 34.8})}^{\frac{1}{4}}

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Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d w = {(\frac{8 \cdot 340N \cdot 12 \cdot {46mm}^{3}}{98900N/mm² \cdot 34.8mm})}^{\frac{1}{4}}

Next Step Convert Units

∴

d w = {(\frac{8 \cdot 340N \cdot 12 \cdot {0.046m}^{3}}{9.9E+10Pa \cdot 0.0348m})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

d w = {(\frac{8 \cdot 340 \cdot 12 \cdot {0.046}^{3}}{9.9E+10 \cdot 0.0348})}^{\frac{1}{4}}

Next Step Evaluate

∴

d w = 0.00551203577204342m

Next Step Convert to Output's Unit

∴

d w = 5.51203577204342mm

LAST Step Rounding Answer

∴

d w = 5.512mm

Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring Formula Elements

Variables

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

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

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

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

Other Formulas to find Wire Diameter of Valve Spring

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 Diameter of Wire of Engine Valve Spring given Number of Active Turns of Spring

d w = {(\frac{8 \cdot D^{3} \cdot k \cdot N}{G})}^{0.25}

Other formulas in Valve Spring category

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}

Go Wahl Factor for Engine Valve Spring given Spring Index

K = \frac{π \cdot f s \cdot {d w}^{2}}{8 \cdot C \cdot (P i + k \cdot h max)}

Go Wahl Factor for Engine Valve Spring given Mean Coil Diameter and Wire Diameter

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

Go Stiffness of Engine Valve Spring given Total Turns of Spring

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

How to Evaluate Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring?

Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring evaluator uses Wire Diameter of Valve Spring = ((8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Maximum Compression in Valve Spring))^(1/4) to evaluate the Wire Diameter of Valve Spring, Diameter of wire of engine valve spring given maximum compression in spring is the diameter of the wire of the helical spring used in engine valve actuation. Wire Diameter of Valve Spring is denoted by d_w symbol.

How to evaluate Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring using this online evaluator? To use this online evaluator for Diameter of Wire 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), Modulus of Rigidity of Valve Spring (G) & Maximum Compression in Valve Spring (x) and hit the calculate button.

FAQs on Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring

What is the formula to find Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring?

The formula of Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring is expressed as Wire Diameter of Valve Spring = ((8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Maximum Compression in Valve Spring))^(1/4). Here is an example- 5512.036 = ((8*340*12*0.046^3)/(98900000000*0.0348))^(1/4).

How to calculate Diameter of Wire 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), Modulus of Rigidity of Valve Spring (G) & Maximum Compression in Valve Spring (x) we can find Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring using the formula - Wire Diameter of Valve Spring = ((8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Maximum Compression in Valve Spring))^(1/4).

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

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

Wire Diameter of Valve Spring=Mean Coil Diameter of Valve Spring/8
Wire Diameter of 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))
Wire Diameter of Valve Spring=sqrt((8*Wahl Factor of Valve Spring*((Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve)*Spring Index for Valve Spring))/(pi*Shear Stress in Valve Spring))

Can the Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring be negative?

No, the Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring, measured in Length cannot be negative.

Which unit is used to measure Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring?

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

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Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring Formula

​GoDiameter of Wire of Engine Valve Spring given Mean Coil Diameter Formula

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

Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring Example

Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring Solution

Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring Formula Elements

Other Formulas to find Wire Diameter of Valve Spring

Other formulas in Valve Spring category

How to Evaluate Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring?

FAQs on Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring

Variable Name

GoDiameter of Wire of Engine Valve Spring given Mean Coil Diameter Formula

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