Spring Index given Shear stress in Spring Calculator

✖Shear Stress in Spring is the stress that occurs in a helical spring due to twisting or deformation of the spring's coils.ⓘ Shear Stress in Spring [𝜏]			+10% -10%
✖Diameter of spring wire is the distance across the circular cross-section of the wire used in a helical spring, affecting its overall structure and functionality.ⓘ Diameter of spring wire [d]			+10% -10%
✖Wahl Factor of Spring is a dimensionless parameter used to describe the geometry of helical springs, characterizing the spring's shape and size.ⓘ Wahl Factor of Spring [K]			+10% -10%
✖Axial Spring Force is the force exerted by a helical spring when it is compressed or stretched along its axis, affecting its shape and size.ⓘ Axial Spring Force [P]			+10% -10%

✖Spring Index is a measure of the coiling of a helical spring, defining the ratio of the spring's diameter to its pitch.ⓘ Spring Index given Shear stress in Spring [C]

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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 a measure of the coiling of a helical spring, defining the ratio of the spring's diameter to its pitch.
Shear Stress in Spring - (Measured in Pascal) - Shear Stress in Spring is the stress that occurs in a helical spring due to twisting or deformation of the spring's coils.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the distance across the circular cross-section of the wire used in a helical spring, affecting its overall structure and functionality.
Wahl Factor of Spring - Wahl Factor of Spring is a dimensionless parameter used to describe the geometry of helical springs, characterizing the spring's shape and size.
Axial Spring Force - (Measured in Newton) - Axial Spring Force is the force exerted by a helical spring when it is compressed or stretched along its axis, affecting its shape and size.

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: 1.161869 --> 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)/(1.161869*8*138.2)

Evaluating ... ...

C = 8.99999974124296

STEP 3: Convert Result to Output's Unit

8.99999974124296 --> No Conversion Required

FINAL ANSWER

8.99999974124296 ≈ 9 <-- Spring Index

(Calculation completed in 00.020 seconds)

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

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Geometry of Helical Springs Calculators

Mean Coil Diameter of Spring

LaTeX 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

LaTeX 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

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

Spring Index

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

Spring Index given Shear stress in Spring Formula

LaTeX Go

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 a dimensionless quantity that characterizes the coiling of a helical spring, providing a measure of the spring's stiffness and ability to store energy, particularly in relation to its shear stress. 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 -> 8.999992 = 230000000*(pi*0.004^2)/(1.161869*8*138.2).

FAQ

What is Spring Index given Shear stress in Spring?

Spring Index given Shear stress in Spring formula is defined as a dimensionless quantity that characterizes the coiling of a helical spring, providing a measure of the spring's stiffness and ability to store energy, particularly in relation to its shear stress 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 stress that occurs in a helical spring due to twisting or deformation of the spring's coils, Diameter of spring wire is the distance across the circular cross-section of the wire used in a helical spring, affecting its overall structure and functionality, Wahl Factor of Spring is a dimensionless parameter used to describe the geometry of helical springs, characterizing the spring's shape and size & Axial Spring Force is the force exerted by a helical spring when it is compressed or stretched along its axis, affecting its shape and size.

How to calculate Spring Index given Shear stress in Spring?

Spring Index given Shear stress in Spring formula is defined as a dimensionless quantity that characterizes the coiling of a helical spring, providing a measure of the spring's stiffness and ability to store energy, particularly in relation to its shear stress 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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