Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
dwire = ((8*P*N*D^3)/(G*x))^(1/4)
This formula uses 6 Variables
Variables Used
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.
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.
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.
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.
Maximum Compression in Valve Spring - (Measured in Meter) - Maximum Compression in Valve Spring is the maximum amount of axial deflection in the valve spring.
STEP 1: Convert Input(s) to Base Unit
Axial Force on Valve Spring: 340 Newton --> 340 Newton No Conversion Required
Active Coils in Valve Spring: 12 --> 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)
Maximum Compression in Valve Spring: 34.8 Millimeter --> 0.0348 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dwire = ((8*P*N*D^3)/(G*x))^(1/4) --> ((8*340*12*0.046^3)/(98900000000*0.0348))^(1/4)
Evaluating ... ...
dwire = 0.00551203577204342
STEP 3: Convert Result to Output's Unit
0.00551203577204342 Meter -->5.51203577204342 Millimeter (Check conversion here)
FINAL ANSWER
5.51203577204342 5.512036 Millimeter <-- Wire Diameter of Valve Spring
(Calculation completed in 00.004 seconds)

Credits

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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

Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring Formula

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)
dwire = ((8*P*N*D^3)/(G*x))^(1/4)

Materials used for springs

Steel alloys are the most common material used for spring manufacturing. However, a range of materials and types of steel alloys can be used:
1. Low-Alloy Steel
2. Cold-Formed Steel
3. Oil Tempered
4. Bainitic Hardened Steel
5. Stainless Steel
6. Copper & Titanium Alloys

How to Calculate Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring?

Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring calculator uses 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) to calculate the Wire Diameter of Valve Spring, Diameter of wire of engine valve spring given maximum compression in spring is the diameter of the wire of the helical spring used in engine valve actuation. Wire Diameter of Valve Spring is denoted by dwire symbol.

How to calculate Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring using this online calculator? To use this online calculator for Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring, 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) & Maximum Compression in Valve Spring (x) and hit the calculate button. Here is how the Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring calculation can be explained with given input values -> 5512.036 = ((8*340*12*0.046^3)/(98900000000*0.0348))^(1/4).

FAQ

What is Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring?
Diameter of wire of engine valve spring given maximum compression in spring is the diameter of the wire of the helical spring used in engine valve actuation and is represented as dwire = ((8*P*N*D^3)/(G*x))^(1/4) or 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). Axial Force on Valve Spring is the force acting at the ends of spring trying to compress or expand it in the axial direction, 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, 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 & Maximum Compression in Valve Spring is the maximum amount of axial deflection in the valve spring.
How to calculate Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring?
Diameter of wire of engine valve spring given maximum compression in spring is the diameter of the wire of the helical spring used in engine valve actuation is calculated using 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). To calculate Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring, you need 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) & Maximum Compression in Valve Spring (x). With our tool, you need to enter the respective value for Axial Force on Valve Spring, Active Coils in Valve Spring, Mean Coil Diameter of Valve Spring, Modulus of Rigidity of Valve Spring & Maximum Compression in 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 Wire Diameter of Valve Spring?
In this formula, Wire Diameter of Valve Spring uses Axial Force on Valve Spring, Active Coils in Valve Spring, Mean Coil Diameter of Valve Spring, Modulus of Rigidity of Valve Spring & Maximum Compression in Valve Spring. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Wire Diameter of Valve Spring = Mean Coil Diameter of Valve Spring/8
  • 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))
  • 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))
  • 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)
  • 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)
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