Spring Index given Mean Stress on spring Calculator

✖Mean Shear Stress in Spring is defined as the amount of mean stress acting when spring is subjected to fluctuating stress.ⓘ Mean Shear Stress in Spring [σ_m]			+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%
✖Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium.ⓘ Shear Stress Correction Factor of Spring [K_s]			+10% -10%
✖Mean Spring Force is defined as the average of the maximum force and the minimum force of the fluctuating forces on the spring or by the spring.ⓘ Mean Spring Force [P_m]			+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 Mean Stress on spring [C]

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Spring Index given Mean Stress on spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spring Index = Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force)
C = σ_m*(pi*d^2)/(8*K_s*P_m)
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.
Mean Shear Stress in Spring - (Measured in Pascal) - Mean Shear Stress in Spring is defined as the amount of mean stress acting when spring is subjected to fluctuating stress.
Diameter of Spring Wire - (Measured in Meter) - Diameter of Spring Wire is the diameter of the wire of which a spring is made.
Shear Stress Correction Factor of Spring - Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium.
Mean Spring Force - (Measured in Newton) - Mean Spring Force is defined as the average of the maximum force and the minimum force of the fluctuating forces on the spring or by the spring.

STEP 1: Convert Input(s) to Base Unit

Mean Shear Stress in Spring: 156 Newton per Square Millimeter --> 156000000 Pascal (Check conversion here)
Diameter of Spring Wire: 4.004738 Millimeter --> 0.004004738 Meter (Check conversion here)
Shear Stress Correction Factor of Spring: 1.08 --> No Conversion Required
Mean Spring Force: 101.2 Newton --> 101.2 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = σ_m*(pi*d^2)/(8*K_s*P_m) --> 156000000*(pi*0.004004738^2)/(8*1.08*101.2)

Evaluating ... ...

C = 8.9893529703057

STEP 3: Convert Result to Output's Unit

8.9893529703057 --> No Conversion Required

FINAL ANSWER

8.9893529703057 ≈ 8.989353 <-- Spring Index

(Calculation completed in 00.020 seconds)

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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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< Design Against Fluctuating Load Calculators

Force Amplitude of Spring

LaTeX Go Spring Force Amplitude = .5*(Maximum Force of Spring-Minimum Force of Spring)

Mean Force on spring

LaTeX Go Mean Spring Force = (Minimum Force of Spring+Maximum Force of Spring)/2

Maximum Force on Spring given Mean Force

LaTeX Go Maximum Force of Spring = 2*Mean Spring Force-Minimum Force of Spring

Minimum Force on Spring given Mean Force

LaTeX Go Minimum Force of Spring = 2*Mean Spring Force-Maximum Force of Spring

Spring Index given Mean Stress on spring Formula

LaTeX Go

Spring Index = Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force)
C = σ_m*(pi*d^2)/(8*K_s*P_m)

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 Mean Stress on spring?

Spring Index given Mean Stress on spring calculator uses Spring Index = Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force) to calculate the Spring Index, Spring Index given Mean Stress on spring formula is defined as a dimensionless parameter that characterizes the spring's stiffness and strength, providing a measure of the spring's ability to withstand fluctuating loads, and is used in design calculations to ensure the spring's reliability and performance under varying stress conditions. Spring Index is denoted by C symbol.

How to calculate Spring Index given Mean Stress on spring using this online calculator? To use this online calculator for Spring Index given Mean Stress on spring, enter Mean Shear Stress in Spring (σ_m), Diameter of Spring Wire (d), Shear Stress Correction Factor of Spring (K_s) & Mean Spring Force (P_m) and hit the calculate button. Here is how the Spring Index given Mean Stress on spring calculation can be explained with given input values -> 8.968095 = 156000000*(pi*0.004004738^2)/(8*1.08*101.2).

FAQ

What is Spring Index given Mean Stress on spring?

Spring Index given Mean Stress on spring formula is defined as a dimensionless parameter that characterizes the spring's stiffness and strength, providing a measure of the spring's ability to withstand fluctuating loads, and is used in design calculations to ensure the spring's reliability and performance under varying stress conditions and is represented as C = σ_m*(pi*d^2)/(8*K_s*P_m) or Spring Index = Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force). Mean Shear Stress in Spring is defined as the amount of mean stress acting when spring is subjected to fluctuating stress, Diameter of Spring Wire is the diameter of the wire of which a spring is made, Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium & Mean Spring Force is defined as the average of the maximum force and the minimum force of the fluctuating forces on the spring or by the spring.

How to calculate Spring Index given Mean Stress on spring?

Spring Index given Mean Stress on spring formula is defined as a dimensionless parameter that characterizes the spring's stiffness and strength, providing a measure of the spring's ability to withstand fluctuating loads, and is used in design calculations to ensure the spring's reliability and performance under varying stress conditions is calculated using Spring Index = Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force). To calculate Spring Index given Mean Stress on spring, you need Mean Shear Stress in Spring (σ_m), Diameter of Spring Wire (d), Shear Stress Correction Factor of Spring (K_s) & Mean Spring Force (P_m). With our tool, you need to enter the respective value for Mean Shear Stress in Spring, Diameter of Spring Wire, Shear Stress Correction Factor of Spring & Mean 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 Mean Shear Stress in Spring, Diameter of Spring Wire, Shear Stress Correction Factor of Spring & Mean Spring Force. We can use 1 other way(s) to calculate the same, which is/are as follows -

Spring Index = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)

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