Maximum Force on Engine Valve Spring given Torsional Shear Stress in Wire Solution

STEP 0: Pre-Calculation Summary
Formula Used
Axial Force on Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Wahl Factor of Valve Spring*Spring Index for Valve Spring)
P = (pi*fs*dwire^2)/(8*K*C)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
Shear Stress in Valve Spring - (Measured in Pascal) - Shear Stress in Valve Spring is the stress induced into the spring due to its compression and expansion.
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.
Wahl Factor of Valve Spring - Wahl Factor of Valve Spring is a stress factor used in order to take into account the effect of direct shear and change in coil curvature.
Spring Index for Valve Spring - Spring Index for Valve Spring is the ratio of the mean coil diameter of the spring to the diameter of the spring Wire.
STEP 1: Convert Input(s) to Base Unit
Shear Stress in Valve Spring: 300 Newton per Square Millimeter --> 300000000 Pascal (Check conversion here)
Wire Diameter of Valve Spring: 5.5 Millimeter --> 0.0055 Meter (Check conversion here)
Wahl Factor of Valve Spring: 1.2 --> No Conversion Required
Spring Index for Valve Spring: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (pi*fs*dwire^2)/(8*K*C) --> (pi*300000000*0.0055^2)/(8*1.2*8)
Evaluating ... ...
P = 371.223350668325
STEP 3: Convert Result to Output's Unit
371.223350668325 Newton --> No Conversion Required
FINAL ANSWER
371.223350668325 371.2234 Newton <-- Axial Force on 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

Maximum Force on Engine Valve Spring given Torsional Shear Stress in Wire Formula

Axial Force on Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Wahl Factor of Valve Spring*Spring Index for Valve Spring)
P = (pi*fs*dwire^2)/(8*K*C)

Assumptions for valve spring design

(i) The spring is made of oil-hardened and tempered valve spring wire of Grade-VW.
(ii) The stiffness of the spring is 10 N/mm.
(iii) The allowable torsional shear stress for spring material is 250 to 350 N/mm2.
(iv) The spring index (D/d) is 8.
(v) The spring has square and ground ends.

How to Calculate Maximum Force on Engine Valve Spring given Torsional Shear Stress in Wire?

Maximum Force on Engine Valve Spring given Torsional Shear Stress in Wire calculator uses Axial Force on Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Wahl Factor of Valve Spring*Spring Index for Valve Spring) to calculate the Axial Force on Valve Spring, Maximum force on engine valve spring given torsional shear stress in wire is the total amount of force that acts onto the valve spring so that the valve is made open for operation. Axial Force on Valve Spring is denoted by P symbol.

How to calculate Maximum Force on Engine Valve Spring given Torsional Shear Stress in Wire using this online calculator? To use this online calculator for Maximum Force on Engine Valve Spring given Torsional Shear Stress in Wire, enter Shear Stress in Valve Spring (fs), Wire Diameter of Valve Spring (dwire), Wahl Factor of Valve Spring (K) & Spring Index for Valve Spring (C) and hit the calculate button. Here is how the Maximum Force on Engine Valve Spring given Torsional Shear Stress in Wire calculation can be explained with given input values -> 371.2234 = (pi*300000000*0.0055^2)/(8*1.2*8).

FAQ

What is Maximum Force on Engine Valve Spring given Torsional Shear Stress in Wire?
Maximum force on engine valve spring given torsional shear stress in wire is the total amount of force that acts onto the valve spring so that the valve is made open for operation and is represented as P = (pi*fs*dwire^2)/(8*K*C) or Axial Force on Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Wahl Factor of Valve Spring*Spring Index for Valve Spring). Shear Stress in Valve Spring is the stress induced into the spring due to its compression and expansion, Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the spring, Wahl Factor of Valve Spring is a stress factor used in order to take into account the effect of direct shear and change in coil curvature & Spring Index for Valve Spring is the ratio of the mean coil diameter of the spring to the diameter of the spring Wire.
How to calculate Maximum Force on Engine Valve Spring given Torsional Shear Stress in Wire?
Maximum force on engine valve spring given torsional shear stress in wire is the total amount of force that acts onto the valve spring so that the valve is made open for operation is calculated using Axial Force on Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Wahl Factor of Valve Spring*Spring Index for Valve Spring). To calculate Maximum Force on Engine Valve Spring given Torsional Shear Stress in Wire, you need Shear Stress in Valve Spring (fs), Wire Diameter of Valve Spring (dwire), Wahl Factor of Valve Spring (K) & Spring Index for Valve Spring (C). With our tool, you need to enter the respective value for Shear Stress in Valve Spring, Wire Diameter of Valve Spring, Wahl Factor of Valve Spring & Spring Index for 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 Axial Force on Valve Spring?
In this formula, Axial Force on Valve Spring uses Shear Stress in Valve Spring, Wire Diameter of Valve Spring, Wahl Factor of Valve Spring & Spring Index for Valve Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Axial Force on Valve Spring = Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve
  • Axial Force on Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4*Maximum Compression in Valve Spring)/(8*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)
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