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Diameter of Wire of Engine Valve Spring given Total Turns of 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 D^{3} \cdot (k \cdot (N t - 2))}{G})}^{0.25}

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

Diameter of Wire of Engine Valve Spring given Total Turns of Spring Example

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

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

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

5.5092 = {(\frac{8 \cdot 46^{3} \cdot (9 \cdot (15 - 2))}{98900})}^{0.25}

5.5092mm = {(\frac{8 \cdot {46mm}^{3} \cdot (9N/mm \cdot (15 - 2))}{98900N/mm²})}^{0.25}

5.5092 = {(\frac{8 \cdot 46^{3} \cdot (9 \cdot (15 - 2))}{98900})}^{0.25}

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Diameter of Wire of Engine Valve Spring given Total Turns of Spring Solution

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

FIRST Step Consider the formula

d w = {(\frac{8 \cdot D^{3} \cdot (k \cdot (N t - 2))}{G})}^{0.25}

Next Step Substitute values of Variables

∴

d w = {(\frac{8 \cdot {46mm}^{3} \cdot (9N/mm \cdot (15 - 2))}{98900N/mm²})}^{0.25}

Next Step Convert Units

∴

d w = {(\frac{8 \cdot {0.046m}^{3} \cdot (9000N/m \cdot (15 - 2))}{9.9E+10Pa})}^{0.25}

Next Step Prepare to Evaluate

∴

d w = {(\frac{8 \cdot {0.046}^{3} \cdot (9000 \cdot (15 - 2))}{9.9E+10})}^{0.25}

Next Step Evaluate

∴

d w = 0.00550919650178295m

Next Step Convert to Output's Unit

∴

d w = 5.50919650178295mm

LAST Step Rounding Answer

∴

d w = 5.5092mm

Diameter of Wire of Engine Valve Spring given Total Turns of 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

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

Total Coils in Valve Spring

Total Coils in Valve Spring is the total number of coils or turns of spring including the coils at the ends of the spring.

Symbol: N_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Total Coils in 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

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 Total Turns of Spring?

Diameter of Wire of Engine Valve Spring given Total Turns of Spring evaluator uses Wire Diameter of Valve Spring = ((8*Mean Coil Diameter of Valve Spring^3*(Stiffness of Valve Spring*(Total Coils in Valve Spring-2)))/(Modulus of Rigidity of Valve Spring))^(0.25) to evaluate the Wire Diameter of Valve Spring, The Diameter of wire of engine valve spring given total turns of spring is the diameter of the wire of the helical spring used in the 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 Total Turns of Spring using this online evaluator? To use this online evaluator for Diameter of Wire of Engine Valve Spring given Total Turns of Spring, enter Mean Coil Diameter of Valve Spring (D), Stiffness of Valve Spring (k), Total Coils in Valve Spring (N_t) & Modulus of Rigidity of Valve Spring (G) and hit the calculate button.

FAQs on Diameter of Wire of Engine Valve Spring given Total Turns of Spring

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

The formula of Diameter of Wire of Engine Valve Spring given Total Turns of Spring is expressed as Wire Diameter of Valve Spring = ((8*Mean Coil Diameter of Valve Spring^3*(Stiffness of Valve Spring*(Total Coils in Valve Spring-2)))/(Modulus of Rigidity of Valve Spring))^(0.25). Here is an example- 5509.197 = ((8*0.046^3*(9000*(15-2)))/(98900000000))^(0.25).

How to calculate Diameter of Wire of Engine Valve Spring given Total Turns of Spring?

With Mean Coil Diameter of Valve Spring (D), Stiffness of Valve Spring (k), Total Coils in Valve Spring (N_t) & Modulus of Rigidity of Valve Spring (G) we can find Diameter of Wire of Engine Valve Spring given Total Turns of Spring using the formula - Wire Diameter of Valve Spring = ((8*Mean Coil Diameter of Valve Spring^3*(Stiffness of Valve Spring*(Total Coils in Valve Spring-2)))/(Modulus of Rigidity of Valve Spring))^(0.25).

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 Total Turns of Spring be negative?

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

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

Diameter of Wire of Engine Valve Spring given Total 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 Diameter of Wire of Engine Valve Spring given Total Turns of Spring can be measured.

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Diameter of Wire of Engine Valve Spring given Total Turns of 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 Total Turns of Spring Example

Diameter of Wire of Engine Valve Spring given Total Turns of Spring Solution

Diameter of Wire of Engine Valve Spring given Total Turns of 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 Total Turns of Spring?

FAQs on Diameter of Wire of Engine Valve Spring given Total Turns of 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