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

✖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 for Valve Spring [C]			+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%

✖Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the spring.ⓘ Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire [d_w]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
d_w = 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

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.
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.

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

Evaluating ... ...

d_w = 0.00526361971398363

STEP 3: Convert Result to Output's Unit

0.00526361971398363 Meter -->5.26361971398363 Millimeter (Check conversion here)

FINAL ANSWER

5.26361971398363 ≈ 5.26362 Millimeter <-- Wire 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 Wire 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

LaTeX 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

LaTeX 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

LaTeX 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

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

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

LaTeX 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))
d_w = sqrt((8*K*P*C)/(pi*f_s))

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

Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire calculator uses 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)) to calculate the Wire Diameter of Valve Spring, The Diameter of wire of engine valve spring given torsional shear stress in wire is the diameter of the wire of the helical spring used in engine valve actuation. Wire Diameter of Valve Spring is denoted by d_w symbol.

How to calculate Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire using this online calculator? To use this online calculator for Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire, enter Wahl Factor of Valve Spring (K), Axial Force on Valve Spring (P), Spring Index for Valve Spring (C) & Shear Stress in Valve Spring (f_s) and hit the calculate button. Here is how the Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire calculation can be explained with given input values -> 5263.62 = sqrt((8*1.2*340*8)/(pi*300000000)).

FAQ

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

The Diameter of wire of engine valve spring given torsional shear stress in wire is the diameter of the wire of the helical spring used in engine valve actuation and is represented as d_w = sqrt((8*K*P*C)/(pi*f_s)) or 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)). 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 & Shear Stress in Valve Spring is the stress induced into the spring due to its compression and expansion.

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

The Diameter of wire of engine valve spring given torsional shear stress in wire is the diameter of the wire of the helical spring used in engine valve actuation is calculated using 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)). To calculate Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire, you need Wahl Factor of Valve Spring (K), Axial Force on Valve Spring (P), Spring Index for Valve Spring (C) & Shear Stress in Valve Spring (f_s). 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 & 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 Wire Diameter of Valve Spring?

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

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

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