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

STEP 0: Pre-Calculation Summary
Formula Used
Shear Stress in Valve Spring = (8*Wahl Factor of Valve Spring*Axial Force on Valve Spring*Spring Index for Valve Spring)/(pi*Wire Diameter of Valve Spring^2)
fs = (8*K*P*C)/(pi*dwire^2)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Wahl Factor of Valve Spring: 1.2 --> No Conversion Required
Axial Force on Valve Spring: 340 Newton --> 340 Newton No Conversion Required
Spring Index for Valve Spring: 8 --> No Conversion Required
Wire Diameter of Valve Spring: 5.5 Millimeter --> 0.0055 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fs = (8*K*P*C)/(pi*dwire^2) --> (8*1.2*340*8)/(pi*0.0055^2)
Evaluating ... ...
fs = 274767198.282021
STEP 3: Convert Result to Output's Unit
274767198.282021 Pascal -->274.767198282021 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
274.767198282021 274.7672 Newton per Square Millimeter <-- Shear Stress in Valve Spring
(Calculation completed in 00.004 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

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

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

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

Torsional Shear Stress in Wire of Engine Valve Spring given Maximum Force on Spring calculator uses Shear Stress in Valve Spring = (8*Wahl Factor of Valve Spring*Axial Force on Valve Spring*Spring Index for Valve Spring)/(pi*Wire Diameter of Valve Spring^2) to calculate the Shear Stress in Valve Spring, Torsional shear stress in wire of engine valve spring given maximum force on spring is the shear stress produced in the spring wire due to the torsional moment onto the spring wire. Shear Stress in Valve Spring is denoted by fs symbol.

How to calculate Torsional Shear Stress in Wire of Engine Valve Spring given Maximum Force on Spring using this online calculator? To use this online calculator for Torsional Shear Stress in Wire of Engine Valve Spring given Maximum Force on Spring, enter Wahl Factor of Valve Spring (K), Axial Force on Valve Spring (P), Spring Index for Valve Spring (C) & Wire Diameter of Valve Spring (dwire) and hit the calculate button. Here is how the Torsional Shear Stress in Wire of Engine Valve Spring given Maximum Force on Spring calculation can be explained with given input values -> 0.000275 = (8*1.2*340*8)/(pi*0.0055^2).

FAQ

What is Torsional Shear Stress in Wire of Engine Valve Spring given Maximum Force on Spring?
Torsional shear stress in wire of engine valve spring given maximum force on spring is the shear stress produced in the spring wire due to the torsional moment onto the spring wire and is represented as fs = (8*K*P*C)/(pi*dwire^2) or Shear Stress in Valve Spring = (8*Wahl Factor of Valve Spring*Axial Force on Valve Spring*Spring Index for Valve Spring)/(pi*Wire Diameter of Valve Spring^2). 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, Axial Force on Valve Spring is the force acting at the ends of spring trying to compress or expand it in the axial direction, Spring Index for Valve Spring is the ratio of the mean coil diameter of the spring to the diameter of the spring Wire & Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the spring.
How to calculate Torsional Shear Stress in Wire of Engine Valve Spring given Maximum Force on Spring?
Torsional shear stress in wire of engine valve spring given maximum force on spring is the shear stress produced in the spring wire due to the torsional moment onto the spring wire is calculated using Shear Stress in Valve Spring = (8*Wahl Factor of Valve Spring*Axial Force on Valve Spring*Spring Index for Valve Spring)/(pi*Wire Diameter of Valve Spring^2). To calculate Torsional Shear Stress in Wire of Engine Valve Spring given Maximum Force on Spring, you need Wahl Factor of Valve Spring (K), Axial Force on Valve Spring (P), Spring Index for Valve Spring (C) & Wire Diameter of Valve Spring (dwire). With our tool, you need to enter the respective value for Wahl Factor of Valve Spring, Axial Force on Valve Spring, Spring Index for Valve Spring & Wire 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 Shear Stress in Valve Spring?
In this formula, Shear Stress in Valve Spring uses Wahl Factor of Valve Spring, Axial Force on Valve Spring, Spring Index for Valve Spring & Wire Diameter of Valve Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Shear Stress in Valve Spring = ((8*Wahl Factor of Valve Spring*(Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve*Spring Index for Valve Spring))/(pi*Wire Diameter of Valve Spring^2))
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