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*fs*dw^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*fs*dw^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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​ 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))
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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

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

​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)
C = (pi*fs*dw^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 (fs), Wire Diameter of Valve Spring (dw), 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*fs*dw^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 (fs), Wire Diameter of Valve Spring (dw), 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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