Mean Coil Diameter of Engine Valve Spring given Total Turns of Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(((Total Coils in Valve Spring)-2))*Stiffness of Valve Spring))^(1/3)
D = ((G*(dwire^4))/(8*(((Nt)-2))*k))^(1/3)
This formula uses 5 Variables
Variables Used
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.
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.
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)
Total Coils in Valve Spring: 15 --> No Conversion Required
Stiffness of Valve Spring: 9 Newton per Millimeter --> 9000 Newton per Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = ((G*(dwire^4))/(8*(((Nt)-2))*k))^(1/3) --> ((98900000000*(0.0055^4))/(8*(((15)-2))*9000))^(1/3)
Evaluating ... ...
D = 0.045897644761406
STEP 3: Convert Result to Output's Unit
0.045897644761406 Meter -->45.897644761406 Millimeter (Check conversion here)
FINAL ANSWER
45.897644761406 45.89764 Millimeter <-- Mean Coil Diameter of Valve Spring
(Calculation completed in 00.004 seconds)

Credits

Created by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
Saurabh Patil has created this Calculator and 700+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

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

Mean Coil Diameter of Engine Valve Spring given Total Turns of Spring Formula

Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(((Total Coils in Valve Spring)-2))*Stiffness of Valve Spring))^(1/3)
D = ((G*(dwire^4))/(8*(((Nt)-2))*k))^(1/3)

Why is shot peening done?

Maximum stress occurs at the wire surface, and any surface defects, therefore, reduce fatigue life. Shot peening can improve fatigue life by creating a residually-stressed surface area that resists fatigue cracks.

How to Calculate Mean Coil Diameter of Engine Valve Spring given Total Turns of Spring?

Mean Coil Diameter of Engine Valve Spring given Total Turns of Spring calculator uses Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(((Total Coils in Valve Spring)-2))*Stiffness of Valve Spring))^(1/3) to calculate the Mean Coil Diameter of Valve Spring, The Mean Coil Diameter of Engine Valve Spring given Total Turns of Spring is defined as the average of the outer and inner coil diameters of an engine valve spring. Mean Coil Diameter of Valve Spring is denoted by D symbol.

How to calculate Mean Coil Diameter of Engine Valve Spring given Total Turns of Spring using this online calculator? To use this online calculator for Mean Coil Diameter of Engine Valve Spring given Total Turns of Spring, enter Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (dwire), Total Coils in Valve Spring (Nt) & Stiffness of Valve Spring (k) and hit the calculate button. Here is how the Mean Coil Diameter of Engine Valve Spring given Total Turns of Spring calculation can be explained with given input values -> 45897.64 = ((98900000000*(0.0055^4))/(8*(((15)-2))*9000))^(1/3).

FAQ

What is Mean Coil Diameter of Engine Valve Spring given Total Turns of Spring?
The Mean Coil Diameter of Engine Valve Spring given Total Turns of Spring is defined as the average of the outer and inner coil diameters of an engine valve spring and is represented as D = ((G*(dwire^4))/(8*(((Nt)-2))*k))^(1/3) or Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(((Total Coils in Valve Spring)-2))*Stiffness of Valve Spring))^(1/3). 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, Total Coils in Valve Spring is the total number of coils or turns of spring including the coils at the ends of the 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.
How to calculate Mean Coil Diameter of Engine Valve Spring given Total Turns of Spring?
The Mean Coil Diameter of Engine Valve Spring given Total Turns of Spring is defined as the average of the outer and inner coil diameters of an engine valve spring is calculated using Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(((Total Coils in Valve Spring)-2))*Stiffness of Valve Spring))^(1/3). To calculate Mean Coil Diameter of Engine Valve Spring given Total Turns of Spring, you need Modulus of Rigidity of Valve Spring (G), Wire Diameter of Valve Spring (dwire), Total Coils in Valve Spring (Nt) & 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, Total Coils in 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 Mean Coil Diameter of Valve Spring?
In this formula, Mean Coil Diameter of Valve Spring uses Modulus of Rigidity of Valve Spring, Wire Diameter of Valve Spring, Total Coils in Valve Spring & Stiffness of Valve Spring. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Mean Coil Diameter of Valve Spring = 8*Wire Diameter of Valve Spring
  • 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)))
  • Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(Active Coils in Valve Spring)*Stiffness of Valve Spring))^(1/3)
  • Mean Coil Diameter of 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)*(Active Coils in Valve Spring)))^(1/3)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!