Maximum Compression of Engine Valve Spring given Total Turns Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
x = (8*P*(Nt-2)*D^3)/(G*dw^4)
This formula uses 6 Variables
Variables Used
Maximum Compression in Valve Spring - (Measured in Meter) - Maximum Compression in Valve Spring is the maximum amount of axial deflection in the valve spring.
Axial Force on Valve Spring - (Measured in Newton) - Axial Force on Valve Spring is the force acting at the ends of spring trying to compress or expand it in the axial direction.
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.
Mean Coil Diameter of Valve Spring - (Measured in Meter) - 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.
Modulus of Rigidity of Valve Spring - (Measured in Pascal) - 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.
Wire Diameter of Valve Spring - (Measured in Meter) - Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the spring.
STEP 1: Convert Input(s) to Base Unit
Axial Force on Valve Spring: 340 Newton --> 340 Newton No Conversion Required
Total Coils in Valve Spring: 15 --> No Conversion Required
Mean Coil Diameter of Valve Spring: 46 Millimeter --> 0.046 Meter (Check conversion ​here)
Modulus of Rigidity of Valve Spring: 98900 Newton per Square Millimeter --> 98900000000 Pascal (Check conversion ​here)
Wire Diameter of Valve Spring: 5.5 Millimeter --> 0.0055 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
x = (8*P*(Nt-2)*D^3)/(G*dw^4) --> (8*340*(15-2)*0.046^3)/(98900000000*0.0055^4)
Evaluating ... ...
x = 0.0380310837835133
STEP 3: Convert Result to Output's Unit
0.0380310837835133 Meter -->38.0310837835133 Millimeter (Check conversion ​here)
FINAL ANSWER
38.0310837835133 38.03108 Millimeter <-- Maximum Compression in Valve Spring
(Calculation completed in 00.004 seconds)

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​ LaTeX ​ Go 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))
Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire
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Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter
​ LaTeX ​ Go Spring Index for Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Wahl Factor of Valve Spring*Axial Force on Valve Spring)
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​ LaTeX ​ Go Wire Diameter of Valve Spring = Mean Coil Diameter of Valve Spring/8

Maximum Compression of Engine Valve Spring given Total Turns Formula

​LaTeX ​Go
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)
x = (8*P*(Nt-2)*D^3)/(G*dw^4)

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How to Calculate Maximum Compression of Engine Valve Spring given Total Turns?

Maximum Compression of Engine Valve Spring given Total Turns calculator uses 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) to calculate the Maximum Compression in Valve Spring, Maximum compression of engine valve spring given total 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 calculate Maximum Compression of Engine Valve Spring given Total Turns using this online calculator? To use this online calculator for Maximum Compression of Engine Valve Spring given Total Turns, enter Axial Force on Valve Spring (P), Total Coils in Valve Spring (Nt), Mean Coil Diameter of Valve Spring (D), Modulus of Rigidity of Valve Spring (G) & Wire Diameter of Valve Spring (dw) and hit the calculate button. Here is how the Maximum Compression of Engine Valve Spring given Total Turns calculation can be explained with given input values -> 38031.08 = (8*340*(15-2)*0.046^3)/(98900000000*0.0055^4).

FAQ

What is Maximum Compression of Engine Valve Spring given Total Turns?
Maximum compression of engine valve spring given total 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 and is represented as x = (8*P*(Nt-2)*D^3)/(G*dw^4) or 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). Axial Force on Valve Spring is the force acting at the ends of spring trying to compress or expand it in the axial direction, Total Coils in Valve Spring is the total number of coils or turns of spring including the coils at the ends of the 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, 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 & Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the spring.
How to calculate Maximum Compression of Engine Valve Spring given Total Turns?
Maximum compression of engine valve spring given total 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 is calculated using 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). To calculate Maximum Compression of Engine Valve Spring given Total Turns, you need Axial Force on Valve Spring (P), Total Coils in Valve Spring (Nt), Mean Coil Diameter of Valve Spring (D), Modulus of Rigidity of Valve Spring (G) & Wire Diameter of Valve Spring (dw). With our tool, you need to enter the respective value for Axial Force on Valve Spring, Total Coils in Valve Spring, Mean Coil Diameter of Valve Spring, Modulus of Rigidity of Valve Spring & Wire Diameter of Valve Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Maximum Compression in Valve Spring?
In this formula, Maximum Compression in Valve Spring uses Axial Force on Valve Spring, Total Coils in Valve Spring, Mean Coil Diameter of Valve Spring, Modulus of Rigidity of Valve Spring & Wire Diameter of Valve Spring. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • 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)
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