Wahl Factor for Engine Valve Spring given Spring Index Calculator

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Design of IC Engine Components

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Engine Performance Parameters

Fuel Injection in IC Engine

Fundamentals of IC Engine

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✖Shear Stress in Valve Spring is the stress induced into the spring due to its compression and expansion.ⓘ Shear Stress in Valve Spring [f_s]			+10% -10%
✖Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the spring.ⓘ Wire Diameter of Valve Spring [d_wire]			+10% -10%
✖Spring Index for Valve Spring is the ratio of the mean coil diameter of the spring to the diameter of the spring Wire.ⓘ Spring Index for Valve Spring [C]			+10% -10%
✖Initial Spring Force on Valve is the preset amount of force exerted by the spring onto the body and contributed to the total force exerted by the spring.ⓘ Initial Spring Force on Valve [P_i]			+10% -10%
✖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.ⓘ Stiffness of Valve Spring [k]			+10% -10%
✖Lift of Valve is the height to which the valve is lifted during operation for the flow of gases.ⓘ Lift of Valve [h_max]			+10% -10%

✖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.ⓘ Wahl Factor for Engine Valve Spring given Spring Index [K]

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Formula

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Wahl Factor for Engine Valve Spring given Spring Index

Formula

`"K" = (pi*"f"_{"s"}*"d"_{"wire"}^2)/(8*"C"*("P"_{"i"}+"k"*"h"_{"max"}))`

Example

`"2.034101"=(pi*"300N/mm²"*("5.5mm")^2)/(8*"8"*("120N"+"9N/mm"*"11mm"))`

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Wahl Factor for Engine Valve Spring given Spring Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
K = (pi*f_s*d_wire^2)/(8*C*(P_i+k*h_max))
This formula uses 1 Constants, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
Initial Spring Force on Valve - (Measured in Newton) - Initial Spring Force on Valve is the preset amount of force exerted by the spring onto the body and contributed to the total force exerted by 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.
Lift of Valve - (Measured in Meter) - Lift of Valve is the height to which the valve is lifted during operation for the flow of gases.

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)
Spring Index for Valve Spring: 8 --> No Conversion Required
Initial Spring Force on Valve: 120 Newton --> 120 Newton No Conversion Required
Stiffness of Valve Spring: 9 Newton per Millimeter --> 9000 Newton per Meter (Check conversion here)
Lift of Valve: 11 Millimeter --> 0.011 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (pi*f_s*d_wire^2)/(8*C*(P_i+k*h_max)) --> (pi*300000000*0.0055^2)/(8*8*(120+9000*0.011))

Evaluating ... ...

K = 2.03410055160726

STEP 3: Convert Result to Output's Unit

2.03410055160726 --> No Conversion Required

FINAL ANSWER

2.03410055160726 ≈ 2.034101 <-- Wahl Factor of 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

Wahl Factor for Engine Valve Spring given Spring Index Formula

A Helical Spring

The helical spring, a type of spring in which wire is wrapped in a coil that resembles a screw thread, is probably the most commonly used mechanical spring. It can be designed to carry, pull, or push loads. Twisted helical (torsion) springs are used in engine starters and hinges. Helical tension and compression springs have numerous uses, notably automobile suspension systems, gun-recoil mechanisms, and closing valves on engines.

How to Calculate Wahl Factor for Engine Valve Spring given Spring Index?

Wahl Factor for Engine Valve Spring given Spring Index calculator uses 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)) to calculate the Wahl Factor of Valve Spring, The Wahl factor for engine valve spring given spring index is a stress factor used in order to take into account the effect of direct shear stress and the change in the spring coil curvature. Wahl Factor of Valve Spring is denoted by K symbol.

How to calculate Wahl Factor for Engine Valve Spring given Spring Index using this online calculator? To use this online calculator for Wahl Factor for Engine Valve Spring given Spring Index, enter Shear Stress in Valve Spring (f_s), Wire Diameter of Valve Spring (d_wire), Spring Index for Valve Spring (C), Initial Spring Force on Valve (P_i), Stiffness of Valve Spring (k) & Lift of Valve (h_max) and hit the calculate button. Here is how the Wahl Factor for Engine Valve Spring given Spring Index calculation can be explained with given input values -> 2.034101 = (pi*300000000*0.0055^2)/(8*8*(120+9000*0.011)).

FAQ

What is Wahl Factor for Engine Valve Spring given Spring Index?

The Wahl factor for engine valve spring given spring index is a stress factor used in order to take into account the effect of direct shear stress and the change in the spring coil curvature and is represented as K = (pi*f_s*d_wire^2)/(8*C*(P_i+k*h_max)) or 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)). 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, Spring Index for Valve Spring is the ratio of the mean coil diameter of the spring to the diameter of the spring Wire, Initial Spring Force on Valve is the preset amount of force exerted by the spring onto the body and contributed to the total force exerted by 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 & Lift of Valve is the height to which the valve is lifted during operation for the flow of gases.

How to calculate Wahl Factor for Engine Valve Spring given Spring Index?

The Wahl factor for engine valve spring given spring index is a stress factor used in order to take into account the effect of direct shear stress and the change in the spring coil curvature is calculated using 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)). To calculate Wahl Factor for Engine Valve Spring given Spring Index, you need Shear Stress in Valve Spring (f_s), Wire Diameter of Valve Spring (d_wire), Spring Index for Valve Spring (C), Initial Spring Force on Valve (P_i), Stiffness of Valve Spring (k) & Lift of Valve (h_max). With our tool, you need to enter the respective value for Shear Stress in Valve Spring, Wire Diameter of Valve Spring, Spring Index for Valve Spring, Initial Spring Force on Valve, Stiffness of Valve Spring & Lift of Valve 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 Wahl Factor of Valve Spring?

In this formula, Wahl Factor of Valve Spring uses Shear Stress in Valve Spring, Wire Diameter of Valve Spring, Spring Index for Valve Spring, Initial Spring Force on Valve, Stiffness of Valve Spring & Lift of Valve. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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