Solid Length of Engine Valve Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Solid Length of Valve Spring = (((Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring))+2)*Wire Diameter of Valve Spring
L = (((G*dw^4)/(8*D^3*k))+2)*dw
This formula uses 5 Variables
Variables Used
Solid Length of Valve Spring - (Measured in Meter) - Solid Length of Valve Spring is defined as the axial length of the spring which is so compressed that the adjacent coils touch each other.
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.
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.
Stiffness of Valve Spring - (Measured in Newton per Meter) - 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.
STEP 1: Convert Input(s) to Base Unit
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)
Mean Coil Diameter of Valve Spring: 46 Millimeter --> 0.046 Meter (Check conversion ​here)
Stiffness of Valve Spring: 9 Newton per Millimeter --> 9000 Newton per Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (((G*dw^4)/(8*D^3*k))+2)*dw --> (((98900000000*0.0055^4)/(8*0.046^3*9000))+2)*0.0055
Evaluating ... ...
L = 0.0820237743022737
STEP 3: Convert Result to Output's Unit
0.0820237743022737 Meter -->82.0237743022737 Millimeter (Check conversion ​here)
FINAL ANSWER
82.0237743022737 82.02377 Millimeter <-- Solid Length of Valve Spring
(Calculation completed in 00.020 seconds)

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Created by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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National Institute Of Technology (NIT), Hamirpur
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Valve Spring Calculators

Diameter of Wire of Engine Valve Spring
​ 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
​ LaTeX ​ Go 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))
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)
Diameter of Wire of Engine Valve Spring given Mean Coil Diameter
​ LaTeX ​ Go Wire Diameter of Valve Spring = Mean Coil Diameter of Valve Spring/8

Solid Length of Engine Valve Spring Formula

​LaTeX ​Go
Solid Length of Valve Spring = (((Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring))+2)*Wire Diameter of Valve Spring
L = (((G*dw^4)/(8*D^3*k))+2)*dw

What is a helical spring?

The helical spring is a type of spring in which the spring wire is wrapped in a coil that resembles a screw thread and is probably the most commonly used mechanical spring. It can be used to carry, pull, or push loads.

How to Calculate Solid Length of Engine Valve Spring?

Solid Length of Engine Valve Spring calculator uses Solid Length of Valve Spring = (((Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring))+2)*Wire Diameter of Valve Spring to calculate the Solid Length of Valve Spring, Solid length of engine valve spring is defined as the axial length of the engine valve spring which is so compressed that the adjacent coils of the spring touch each other. Solid Length of Valve Spring is denoted by L symbol.

How to calculate Solid Length of Engine Valve Spring using this online calculator? To use this online calculator for Solid Length of Engine Valve Spring, enter Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (dw), Mean Coil Diameter of Valve Spring (D) & Stiffness of Valve Spring (k) and hit the calculate button. Here is how the Solid Length of Engine Valve Spring calculation can be explained with given input values -> 82023.77 = (((98900000000*0.0055^4)/(8*0.046^3*9000))+2)*0.0055.

FAQ

What is Solid Length of Engine Valve Spring?
Solid length of engine valve spring is defined as the axial length of the engine valve spring which is so compressed that the adjacent coils of the spring touch each other and is represented as L = (((G*dw^4)/(8*D^3*k))+2)*dw or Solid Length of Valve Spring = (((Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring))+2)*Wire Diameter 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, Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils 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 & 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.
How to calculate Solid Length of Engine Valve Spring?
Solid length of engine valve spring is defined as the axial length of the engine valve spring which is so compressed that the adjacent coils of the spring touch each other is calculated using Solid Length of Valve Spring = (((Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring))+2)*Wire Diameter of Valve Spring. To calculate Solid Length of Engine Valve Spring, you need Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (dw), Mean Coil Diameter of Valve Spring (D) & Stiffness of Valve Spring (k). With our tool, you need to enter the respective value for Modulus of Rigidity of Valve Spring, Wire Diameter of Valve Spring, Mean Coil Diameter of Valve Spring & Stiffness 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 Solid Length of Valve Spring?
In this formula, Solid Length of Valve Spring uses Modulus of Rigidity of Valve Spring, Wire Diameter of Valve Spring, Mean Coil Diameter of Valve Spring & Stiffness of Valve Spring. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Solid Length of Valve Spring = (Active Coils in Valve Spring+2)*Wire Diameter of Valve Spring
  • Solid Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring
  • Solid Length of Valve Spring = Free Length of Valve Spring-1.15*Maximum Compression in Valve Spring
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