Total Number of Turns of Engine Valve Spring given Maximum Compression in Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Coils in Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4*Maximum Compression in Valve Spring)/(8*Axial Force on Valve Spring*Mean Coil Diameter of Valve Spring^3)+2
Nt = (G*dwire^4*x)/(8*P*D^3)+2
This formula uses 6 Variables
Variables Used
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.
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.
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.
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.
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)
Maximum Compression in Valve Spring: 34.8 Millimeter --> 0.0348 Meter (Check conversion here)
Axial Force on Valve Spring: 340 Newton --> 340 Newton No Conversion Required
Mean Coil Diameter of Valve Spring: 46 Millimeter --> 0.046 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nt = (G*dwire^4*x)/(8*P*D^3)+2 --> (98900000000*0.0055^4*0.0348)/(8*340*0.046^3)+2
Evaluating ... ...
Nt = 13.8955326799316
STEP 3: Convert Result to Output's Unit
13.8955326799316 --> No Conversion Required
FINAL ANSWER
13.8955326799316 13.89553 <-- Total Coils in Valve Spring
(Calculation completed in 00.020 seconds)

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25 Valve Spring Calculators

Diameter of Wire of Engine Valve Spring
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))
Wahl Factor for Engine Valve Spring given Spring Index
Go Wahl Factor of Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Spring Index for Valve Spring*(Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve))
Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire
Go Mean Coil Diameter of Valve Spring = Spring Index for 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)))
Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring
Go 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)
Maximum Compression of Engine Valve Spring given Total Turns
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)
Maximum Compression of Engine Valve Spring given Number of Active Turns
Go 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)
Solid Length of Engine Valve Spring
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
Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire
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
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)
Wahl Factor for Engine Valve Spring given Mean Coil Diameter and Wire Diameter
Go Wahl Factor of Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Spring Index for Valve Spring*Axial Force on Valve Spring)
Diameter of Wire of Engine Valve Spring given Total Turns of Spring
Go 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)
Diameter of Wire of Engine Valve Spring given Number of Active Turns of Spring
Go Wire Diameter of Valve Spring = ((8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring*Active Coils in Valve Spring)/(Modulus of Rigidity of Valve Spring))^(0.25)
Stiffness of Engine Valve Spring given Total Turns of Spring
Go Stiffness of Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)
Free Length of Engine Valve Spring
Go Free Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring+1.15*Maximum Compression in Valve Spring
Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness
Go Natural Frequency Valve Spring = (sqrt(Stiffness of Valve Spring/Mass of Valve Spring))/2
Maximum Compression of Engine Valve Spring given its Free Length and Solid Length
Go Maximum Compression in Valve Spring = (Free Length of Valve Spring-Solid Length of Valve Spring)/(1.15)
Solid Length of Engine Valve Spring given its Free Length and Maximum Compression
Go Solid Length of Valve Spring = Free Length of Valve Spring-1.15*Maximum Compression in Valve Spring
Solid Length of Engine Valve Spring given Number of Active Turns of Spring and Wire Diameter
Go Solid Length of Valve Spring = (Active Coils in Valve Spring+2)*Wire Diameter of Valve Spring
Solid Length of Engine Valve Spring given Total Number of Turns of Spring and Wire Diameter
Go Solid Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring
Mass of Engine Valve Spring given its Natural Frequency of Vibration and Stiffness
Go Mass of Valve Spring = Stiffness of Valve Spring/(4*Natural Frequency Valve Spring^2)
Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass
Go Stiffness of Valve Spring = 4*Mass of Valve Spring*Natural Frequency Valve Spring^2
Total Gap between Coils of Engine Valve Spring given Maximum Compression of Spring
Go Total Axial Gap between Valve Spirng Coils = 0.15*Maximum Compression in Valve Spring
Maximum Compression of Engine Valve Spring given Total Gap between Coils of Spring
Go Maximum Compression in Valve Spring = Total Axial Gap between Valve Spirng Coils/0.15
Diameter of Wire of Engine Valve Spring given Mean Coil Diameter
Go Wire Diameter of Valve Spring = Mean Coil Diameter of Valve Spring/8
Mean Coil Diameter of Engine Valve Spring given Wire Diameter
Go Mean Coil Diameter of Valve Spring = 8*Wire Diameter of Valve Spring

Total Number of Turns of Engine Valve Spring given Maximum Compression in Spring Formula

Total Coils in Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4*Maximum Compression in Valve Spring)/(8*Axial Force on Valve Spring*Mean Coil Diameter of Valve Spring^3)+2
Nt = (G*dwire^4*x)/(8*P*D^3)+2

Cold drawn steel wire for spring manufacturing

Cold-formed steel parts and products are well known for having greater tensile strength and tolerance to stress and temperature – not to mention the surface finish. Cold drawing is a type of work hardening that affects the material's basic crystalline structure which changes its properties. Talented spring manufacturers apply a variety of techniques to create wire forms and springs such as tension springs and die springs, with different qualities and capabilities for different applications.

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

Total Number of Turns of Engine Valve Spring given Maximum Compression in Spring calculator uses Total Coils in Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4*Maximum Compression in Valve Spring)/(8*Axial Force on Valve Spring*Mean Coil Diameter of Valve Spring^3)+2 to calculate the Total Coils in Valve Spring, Total Number of turns of engine valve spring given maximum compression in spring is the total number of coils or turns of the engine valve spring including the coils at the ends of the spring. These end support coils do not contribute to the load-bearing capacity of the spring. Total Coils in Valve Spring is denoted by Nt symbol.

How to calculate Total Number of Turns of Engine Valve Spring given Maximum Compression in Spring using this online calculator? To use this online calculator for Total Number of Turns of Engine Valve Spring given Maximum Compression in Spring, enter Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (dwire), Maximum Compression in Valve Spring (x), Axial Force on Valve Spring (P) & Mean Coil Diameter of Valve Spring (D) and hit the calculate button. Here is how the Total Number of Turns of Engine Valve Spring given Maximum Compression in Spring calculation can be explained with given input values -> 13.89553 = (98900000000*0.0055^4*0.0348)/(8*340*0.046^3)+2.

FAQ

What is Total Number of Turns of Engine Valve Spring given Maximum Compression in Spring?
Total Number of turns of engine valve spring given maximum compression in spring is the total number of coils or turns of the engine valve spring including the coils at the ends of the spring. These end support coils do not contribute to the load-bearing capacity of the spring and is represented as Nt = (G*dwire^4*x)/(8*P*D^3)+2 or Total Coils in Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4*Maximum Compression in Valve Spring)/(8*Axial Force on Valve Spring*Mean Coil Diameter of Valve Spring^3)+2. 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, Maximum Compression in Valve Spring is the maximum amount of axial deflection in the 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 & 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.
How to calculate Total Number of Turns of Engine Valve Spring given Maximum Compression in Spring?
Total Number of turns of engine valve spring given maximum compression in spring is the total number of coils or turns of the engine valve spring including the coils at the ends of the spring. These end support coils do not contribute to the load-bearing capacity of the spring is calculated using Total Coils in Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4*Maximum Compression in Valve Spring)/(8*Axial Force on Valve Spring*Mean Coil Diameter of Valve Spring^3)+2. To calculate Total Number of Turns of Engine Valve Spring given Maximum Compression in Spring, you need Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (dwire), Maximum Compression in Valve Spring (x), Axial Force on Valve Spring (P) & Mean Coil Diameter of Valve Spring (D). With our tool, you need to enter the respective value for Modulus of Rigidity of Valve Spring, Wire Diameter of Valve Spring, Maximum Compression in Valve Spring, Axial Force on Valve Spring & Mean Coil 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 Total Coils in Valve Spring?
In this formula, Total Coils in Valve Spring uses Modulus of Rigidity of Valve Spring, Wire Diameter of Valve Spring, Maximum Compression in Valve Spring, Axial Force on Valve Spring & Mean Coil Diameter of Valve Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Total Coils in Valve Spring = Active Coils in Valve Spring+2
  • Total Coils in Valve Spring = Free Length of Valve Spring/Pitch of Valve spring+1
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