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Maximum Compression of Engine Valve Spring given Number of Active Turns Formula

GoMaximum Compression of Engine Valve Spring given Total Turns Formula

GoMaximum Compression of Engine Valve Spring given Total Gap between Coils of Spring Formula

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Maximum Compression in Valve Spring is the maximum amount of axial deflection in the valve spring. Check FAQs

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

x - Maximum Compression in 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?d_w - Wire Diameter of Valve Spring?

Maximum Compression of Engine Valve Spring given Number of Active Turns Example

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Here is how the Maximum Compression of Engine Valve Spring given Number of Active Turns equation looks like with Values.

Here is how the Maximum Compression of Engine Valve Spring given Number of Active Turns equation looks like with Units.

Here is how the Maximum Compression of Engine Valve Spring given Number of Active Turns equation looks like.

35.1056 = \frac{8 \cdot 340 \cdot 12 \cdot 46^{3}}{98900 \cdot {5.5}^{4}}

35.1056mm = \frac{8 \cdot 340N \cdot 12 \cdot {46mm}^{3}}{98900N/mm² \cdot {5.5mm}^{4}}

35.1056 = \frac{8 \cdot 340 \cdot 12 \cdot 46^{3}}{98900 \cdot {5.5}^{4}}

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Maximum Compression of Engine Valve Spring given Number of Active Turns Solution

Follow our step by step solution on how to calculate Maximum Compression of Engine Valve Spring given Number of Active Turns?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

x = \frac{8 \cdot 340N \cdot 12 \cdot {46mm}^{3}}{98900N/mm² \cdot {5.5mm}^{4}}

Next Step Convert Units

∴

x = \frac{8 \cdot 340N \cdot 12 \cdot {0.046m}^{3}}{9.9E+10Pa \cdot {0.0055m}^{4}}

Next Step Prepare to Evaluate

∴

x = \frac{8 \cdot 340 \cdot 12 \cdot {0.046}^{3}}{9.9E+10 \cdot {0.0055}^{4}}

Next Step Evaluate

∴

x = 0.0351056158001661m

Next Step Convert to Output's Unit

∴

x = 35.1056158001661mm

LAST Step Rounding Answer

∴

x = 35.1056mm

Maximum Compression of Engine Valve Spring given Number of Active Turns Formula Elements

Variables

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

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

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

Other Formulas to find Maximum Compression in Valve Spring

Go Maximum Compression of Engine Valve Spring given Total Turns

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

Go Maximum Compression of Engine Valve Spring given Total Gap between Coils of Spring

x = \frac{G A}{0.15}

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

x = \frac{L f - L}{1.15}

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 Maximum Compression of Engine Valve Spring given Number of Active Turns?

Maximum Compression of Engine Valve Spring given Number of Active Turns evaluator uses Maximum Compression in 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*Wire Diameter of Valve Spring^4) to evaluate the Maximum Compression in Valve Spring, Maximum compression of engine valve spring given number of active turns is the amount of compression or decrease in the spring's length when a maximum load due to valve force is acting onto the spring axially. Maximum Compression in Valve Spring is denoted by x symbol.

How to evaluate Maximum Compression of Engine Valve Spring given Number of Active Turns using this online evaluator? To use this online evaluator for Maximum Compression of Engine Valve Spring given Number of Active Turns, 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) & Wire Diameter of Valve Spring (d_w) and hit the calculate button.

FAQs on Maximum Compression of Engine Valve Spring given Number of Active Turns

What is the formula to find Maximum Compression of Engine Valve Spring given Number of Active Turns?

The formula of Maximum Compression of Engine Valve Spring given Number of Active Turns is expressed as Maximum Compression in 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*Wire Diameter of Valve Spring^4). Here is an example- 35105.62 = (8*340*12*0.046^3)/(98900000000*0.0055^4).

How to calculate Maximum Compression of Engine Valve Spring given Number of Active Turns?

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) & Wire Diameter of Valve Spring (d_w) we can find Maximum Compression of Engine Valve Spring given Number of Active Turns using the formula - Maximum Compression in 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*Wire Diameter of Valve Spring^4).

What are the other ways to Calculate Maximum Compression in Valve Spring?

Here are the different ways to Calculate Maximum Compression in Valve Spring-

Maximum Compression in Valve Spring=(8*Axial Force on Valve Spring*(Total Coils in Valve Spring-2)*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)
Maximum Compression in Valve Spring=Total Axial Gap Between Valve Spirng Coils/0.15
Maximum Compression in Valve Spring=(Free Length of Valve Spring-Solid Length of Valve Spring)/(1.15)

Can the Maximum Compression of Engine Valve Spring given Number of Active Turns be negative?

No, the Maximum Compression of Engine Valve Spring given Number of Active Turns, measured in Length cannot be negative.

Which unit is used to measure Maximum Compression of Engine Valve Spring given Number of Active Turns?

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

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Maximum Compression of Engine Valve Spring given Number of Active Turns Formula

​GoMaximum Compression of Engine Valve Spring given Total Turns Formula

​GoMaximum Compression of Engine Valve Spring given Total Gap between Coils of Spring Formula

Maximum Compression of Engine Valve Spring given Number of Active Turns Example

Maximum Compression of Engine Valve Spring given Number of Active Turns Solution

Maximum Compression of Engine Valve Spring given Number of Active Turns Formula Elements

Other Formulas to find Maximum Compression in Valve Spring

Other formulas in Valve Spring category

How to Evaluate Maximum Compression of Engine Valve Spring given Number of Active Turns?

FAQs on Maximum Compression of Engine Valve Spring given Number of Active Turns

Variable Name

GoMaximum Compression of Engine Valve Spring given Total Turns Formula

GoMaximum Compression of Engine Valve Spring given Total Gap between Coils of Spring Formula