Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter Calculator

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Design of IC Engine Components

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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%
✖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 of Valve Spring [K]			+10% -10%
✖Axial Force on Valve Spring is the force acting at the ends of spring trying to compress or expand it in the axial direction.ⓘ Axial Force on Valve Spring [P]			+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 of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter [C]

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Formula

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Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter

Formula

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

Example

`"8.734667"=(pi*"300N/mm²"*("5.5mm")^2)/(8*"1.2"*"340N")`

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Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
C = (pi*f_s*d_wire^2)/(8*K*P)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

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
Axial Force on Valve Spring: 340 Newton --> 340 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (pi*f_s*d_wire^2)/(8*K*P) --> (pi*300000000*0.0055^2)/(8*1.2*340)

Evaluating ... ...

C = 8.73466707454883

STEP 3: Convert Result to Output's Unit

8.73466707454883 --> No Conversion Required

FINAL ANSWER

8.73466707454883 ≈ 8.734667 <-- Spring Index for Valve Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Valve Spring » Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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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

Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter Formula

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)
C = (pi*f_s*d_wire^2)/(8*K*P)

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 Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter?

Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter calculator uses 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) to calculate the Spring Index for Valve Spring, The Spring Index of engine valve spring given shear stress, maximum force and wire diameter is defined as the ratio of the mean coil diameter of the engine valve spring to the diameter of the spring wire. Spring Index for Valve Spring is denoted by C symbol.

How to calculate Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter using this online calculator? To use this online calculator for Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter, enter Shear Stress in Valve Spring (f_s), Wire Diameter of Valve Spring (d_wire), Wahl Factor of Valve Spring (K) & Axial Force on Valve Spring (P) and hit the calculate button. Here is how the Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter calculation can be explained with given input values -> 8.734667 = (pi*300000000*0.0055^2)/(8*1.2*340).

FAQ

What is Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter?

The Spring Index of engine valve spring given shear stress, maximum force and wire diameter is defined as the ratio of the mean coil diameter of the engine valve spring to the diameter of the spring wire and is represented as C = (pi*f_s*d_wire^2)/(8*K*P) or 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). 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 & Axial Force on Valve Spring is the force acting at the ends of spring trying to compress or expand it in the axial direction.

How to calculate Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter?

The Spring Index of engine valve spring given shear stress, maximum force and wire diameter is defined as the ratio of the mean coil diameter of the engine valve spring to the diameter of the spring wire is calculated using 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). To calculate Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter, you need Shear Stress in Valve Spring (f_s), Wire Diameter of Valve Spring (d_wire), Wahl Factor of Valve Spring (K) & Axial Force on Valve Spring (P). 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 & Axial Force on Valve Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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