Spring Index given Shear stress in Spring Calculator

✖Shear Stress in Spring is the force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in Spring [𝜏]			+10% -10%
✖Diameter of spring wire is the diameter of the wire of which a spring is made.ⓘ Diameter of spring wire [d]			+10% -10%
✖Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.ⓘ Wahl Factor of Spring [K]			+10% -10%
✖Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.ⓘ Axial Spring Force [P]			+10% -10%

✖Spring Index is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.ⓘ Spring Index given Shear stress in Spring [C]

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Formula

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Spring Index given Shear stress in Spring

Formula

`"C" = "𝜏"*(pi*"d"^2)/("K"*8*"P")`

Example

`"8.998985"="230N/mm²"*(pi*("4mm")^2)/("1.162"*8*"138.2N")`

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Spring Index given Shear stress in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spring Index = Shear Stress in Spring*(pi*Diameter of spring wire^2)/(Wahl Factor of Spring*8*Axial Spring Force)
C = 𝜏*(pi*d^2)/(K*8*P)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Spring Index - Spring Index is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.
Shear Stress in Spring - (Measured in Pascal) - Shear Stress in Spring is the force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the diameter of the wire of which a spring is made.
Wahl Factor of Spring - Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.
Axial Spring Force - (Measured in Newton) - Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.

STEP 1: Convert Input(s) to Base Unit

Shear Stress in Spring: 230 Newton per Square Millimeter --> 230000000 Pascal (Check conversion here)
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
Wahl Factor of Spring: 1.162 --> No Conversion Required
Axial Spring Force: 138.2 Newton --> 138.2 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = 𝜏*(pi*d^2)/(K*8*P) --> 230000000*(pi*0.004^2)/(1.162*8*138.2)

Evaluating ... ...

C = 8.99898511132376

STEP 3: Convert Result to Output's Unit

8.99898511132376 --> No Conversion Required

FINAL ANSWER

8.99898511132376 ≈ 8.998985 <-- Spring Index

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Helical Springs » Geometry of Helical Springs » Spring Index given Shear stress in Spring

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Osmania University (OU), Hyderabad

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< 9 Geometry of Helical Springs Calculators

Diameter of Spring Wire from Load Stress Equation

Go Diameter of spring wire = sqrt(Wahl Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Shear Stress in Spring))

Spring Index given Shear stress in Spring

Go Spring Index = Shear Stress in Spring*(pi*Diameter of spring wire^2)/(Wahl Factor of Spring*8*Axial Spring Force)

Mean Coil Diameter of Spring

Go Mean Coil Diameter of Spring = (Outer Diameter of Spring Coil+Inner Diameter of Spring Coil)/2

Inside Diameter of Spring Coil given Mean Coil Diameter

Go Inner Diameter of Spring Coil = 2*Mean Coil Diameter of Spring-Outer Diameter of Spring Coil

Outside Diameter of Spring given Mean Coil Diameter

Go Outer Diameter of Spring Coil = 2*Mean Coil Diameter of Spring-Inner Diameter of Spring Coil

Total Number of Coils given Solid Length of Spring

Go Total Coils in Spring = Solid Length of Spring/Diameter of spring wire

Diameter of Spring Wire given Spring Index

Go Diameter of spring wire = Mean Coil Diameter of Spring/Spring Index

Mean Coil Diameter given Spring Index

Go Mean Coil Diameter of Spring = Spring Index*Diameter of spring wire

Spring Index

Go Spring Index = Mean Coil Diameter of Spring/Diameter of spring wire

Spring Index given Shear stress in Spring Formula

Spring Index = Shear Stress in Spring*(pi*Diameter of spring wire^2)/(Wahl Factor of Spring*8*Axial Spring Force)
C = 𝜏*(pi*d^2)/(K*8*P)

Define Spring Index?

The spring index is the relationship between the mean diameter and wire diameter. Springs with small indexes increase tooling wear and are more likely to require additional processing steps to ensure adequate life. Large index springs often require additional tolerance on both diameter and length.

How to Calculate Spring Index given Shear stress in Spring?

Spring Index given Shear stress in Spring calculator uses Spring Index = Shear Stress in Spring*(pi*Diameter of spring wire^2)/(Wahl Factor of Spring*8*Axial Spring Force) to calculate the Spring Index, Spring Index given Shear stress in Spring formula is defined as the relationship between the mean diameter and wire diameter. Springs with small indexes increase tooling wear and are more likely to require additional processing steps to ensure adequate life. Spring Index is denoted by C symbol.

How to calculate Spring Index given Shear stress in Spring using this online calculator? To use this online calculator for Spring Index given Shear stress in Spring, enter Shear Stress in Spring (𝜏), Diameter of spring wire (d), Wahl Factor of Spring (K) & Axial Spring Force (P) and hit the calculate button. Here is how the Spring Index given Shear stress in Spring calculation can be explained with given input values -> 8.998985 = 230000000*(pi*0.004^2)/(1.162*8*138.2).

FAQ

What is Spring Index given Shear stress in Spring?

Spring Index given Shear stress in Spring formula is defined as the relationship between the mean diameter and wire diameter. Springs with small indexes increase tooling wear and are more likely to require additional processing steps to ensure adequate life and is represented as C = 𝜏*(pi*d^2)/(K*8*P) or Spring Index = Shear Stress in Spring*(pi*Diameter of spring wire^2)/(Wahl Factor of Spring*8*Axial Spring Force). Shear Stress in Spring is the force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress, Diameter of spring wire is the diameter of the wire of which a spring is made, Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil & Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.

How to calculate Spring Index given Shear stress in Spring?

Spring Index given Shear stress in Spring formula is defined as the relationship between the mean diameter and wire diameter. Springs with small indexes increase tooling wear and are more likely to require additional processing steps to ensure adequate life is calculated using Spring Index = Shear Stress in Spring*(pi*Diameter of spring wire^2)/(Wahl Factor of Spring*8*Axial Spring Force). To calculate Spring Index given Shear stress in Spring, you need Shear Stress in Spring (𝜏), Diameter of spring wire (d), Wahl Factor of Spring (K) & Axial Spring Force (P). With our tool, you need to enter the respective value for Shear Stress in Spring, Diameter of spring wire, Wahl Factor of Spring & Axial Spring Force 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 Spring Index?

In this formula, Spring Index uses Shear Stress in Spring, Diameter of spring wire, Wahl Factor of Spring & Axial Spring Force. We can use 1 other way(s) to calculate the same, which is/are as follows -

Spring Index = Mean Coil Diameter of Spring/Diameter of spring wire

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