Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire Calculator

✖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%
✖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%
✖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%

✖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.ⓘ Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire [D]

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Formula

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Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire

Formula

D = C \cdot (\sqrt{\frac{8 \cdot K \cdot P \cdot C}{π \cdot f s}})

Example

42.10896 mm = 8 \cdot (\sqrt{\frac{8 \cdot 1.2 \cdot 340 N \cdot 8}{π \cdot 300 N/mm²}})

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Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
D = C*(sqrt((8*K*P*C)/(pi*f_s)))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Spring Index for Valve Spring: 8 --> No Conversion Required
Wahl Factor of Valve Spring: 1.2 --> No Conversion Required
Axial Force on Valve Spring: 340 Newton --> 340 Newton No Conversion Required
Shear Stress in Valve Spring: 300 Newton per Square Millimeter --> 300000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = C*(sqrt((8*K*P*C)/(pi*f_s))) --> 8*(sqrt((8*1.2*340*8)/(pi*300000000)))

Evaluating ... ...

D = 0.0421089577118691

STEP 3: Convert Result to Output's Unit

0.0421089577118691 Meter -->42.1089577118691 Millimeter (Check conversion here)

FINAL ANSWER

42.1089577118691 ≈ 42.10896 Millimeter <-- Mean Coil Diameter of Valve Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Mechanical » Valve Spring » Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire

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Created by Saurabh Patil

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

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< 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))

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)

Diameter of Wire of Engine Valve Spring given Mean Coil Diameter

Go Wire Diameter of Valve Spring = Mean Coil Diameter of Valve Spring/8

Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire 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 Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire?

Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire calculator uses 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))) to calculate the Mean Coil Diameter of Valve Spring, The Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire is defined as the average of the outer and inner coil diameters of an engine valve spring. Mean Coil Diameter of Valve Spring is denoted by D symbol.

How to calculate Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire using this online calculator? To use this online calculator for Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire, enter Spring Index for Valve Spring (C), Wahl Factor of Valve Spring (K), Axial Force on Valve Spring (P) & Shear Stress in Valve Spring (f_s) and hit the calculate button. Here is how the Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire calculation can be explained with given input values -> 42108.96 = 8*(sqrt((8*1.2*340*8)/(pi*300000000))).

FAQ

What is Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire?

The Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire is defined as the average of the outer and inner coil diameters of an engine valve spring and is represented as D = C*(sqrt((8*K*P*C)/(pi*f_s))) or 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))). Spring Index for Valve Spring is the ratio of the mean coil diameter of the spring to the diameter of the spring Wire, 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 & Shear Stress in Valve Spring is the stress induced into the spring due to its compression and expansion.

How to calculate Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire?

The Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire is defined as the average of the outer and inner coil diameters of an engine valve spring is calculated using 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))). To calculate Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire, you need Spring Index for Valve Spring (C), Wahl Factor of Valve Spring (K), Axial Force on Valve Spring (P) & Shear Stress in Valve Spring (f_s). With our tool, you need to enter the respective value for Spring Index for Valve Spring, Wahl Factor of Valve Spring, Axial Force on Valve Spring & Shear Stress 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 Mean Coil Diameter of Valve Spring?

In this formula, Mean Coil Diameter of Valve Spring uses Spring Index for Valve Spring, Wahl Factor of Valve Spring, Axial Force on Valve Spring & Shear Stress in Valve Spring. We can use 3 other way(s) to calculate the same, which is/are as follows -

Mean Coil Diameter of Valve Spring = 8*Wire Diameter of Valve Spring
Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(Active Coils in Valve Spring)*Stiffness of Valve Spring))^(1/3)
Mean Coil Diameter of Valve Spring = ((Modulus of Rigidity of Valve Spring*(Wire Diameter of Valve Spring^4))/(8*(((Total Coils in Valve Spring)-2))*Stiffness of Valve Spring))^(1/3)

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