Spring Index given Torsional Stress Amplitude Solution

STEP 0: Pre-Calculation Summary
Formula Used
Spring Index = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)
C = τa*(pi*d^2)/(8*Ks*Pa)
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.
Torsional Stress Amplitude in Spring - (Measured in Pascal) - Torsional Stress Amplitude in Spring is defined as the effect of stress concentration due to curvature in addition to direct shear stress in the spring.
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.
Spring Force Amplitude - (Measured in Newton) - The Spring Force Amplitude is defined as the amount of force deviation from the mean force and is also called the alternating component of force in fluctuating loads.
STEP 1: Convert Input(s) to Base Unit
Torsional Stress Amplitude in Spring: 77 Newton per Square Millimeter --> 77000000 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
Spring Force Amplitude: 50.2 Newton --> 50.2 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = τa*(pi*d^2)/(8*Ks*Pa) --> 77000000*(pi*0.004004738^2)/(8*1.08*50.2)
Evaluating ... ...
C = 8.94481485414881
STEP 3: Convert Result to Output's Unit
8.94481485414881 --> No Conversion Required
FINAL ANSWER
8.94481485414881 8.944815 <-- Spring Index
(Calculation completed in 00.004 seconds)

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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 Torsional Stress Amplitude Formula

​LaTeX ​Go
Spring Index = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)
C = τa*(pi*d^2)/(8*Ks*Pa)

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 Torsional Stress Amplitude?

Spring Index given Torsional Stress Amplitude calculator uses Spring Index = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude) to calculate the Spring Index, Spring Index given Torsional Stress Amplitude formula is defined as a dimensionless parameter that characterizes the spring's behavior under fluctuating loads, providing a measure of the spring's ability to withstand torsional stress amplitude, which is essential in design against fluctuating load applications. Spring Index is denoted by C symbol.

How to calculate Spring Index given Torsional Stress Amplitude using this online calculator? To use this online calculator for Spring Index given Torsional Stress Amplitude, enter Torsional Stress Amplitude in Spring a), Diameter of Spring Wire (d), Shear Stress Correction Factor of Spring (Ks) & Spring Force Amplitude (Pa) and hit the calculate button. Here is how the Spring Index given Torsional Stress Amplitude calculation can be explained with given input values -> 8.944815 = 77000000*(pi*0.004004738^2)/(8*1.08*49.95129).

FAQ

What is Spring Index given Torsional Stress Amplitude?
Spring Index given Torsional Stress Amplitude formula is defined as a dimensionless parameter that characterizes the spring's behavior under fluctuating loads, providing a measure of the spring's ability to withstand torsional stress amplitude, which is essential in design against fluctuating load applications and is represented as C = τa*(pi*d^2)/(8*Ks*Pa) or Spring Index = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude). Torsional Stress Amplitude in Spring is defined as the effect of stress concentration due to curvature in addition to direct shear stress in the spring, 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 & The Spring Force Amplitude is defined as the amount of force deviation from the mean force and is also called the alternating component of force in fluctuating loads.
How to calculate Spring Index given Torsional Stress Amplitude?
Spring Index given Torsional Stress Amplitude formula is defined as a dimensionless parameter that characterizes the spring's behavior under fluctuating loads, providing a measure of the spring's ability to withstand torsional stress amplitude, which is essential in design against fluctuating load applications is calculated using Spring Index = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude). To calculate Spring Index given Torsional Stress Amplitude, you need Torsional Stress Amplitude in Spring a), Diameter of Spring Wire (d), Shear Stress Correction Factor of Spring (Ks) & Spring Force Amplitude (Pa). With our tool, you need to enter the respective value for Torsional Stress Amplitude in Spring, Diameter of Spring Wire, Shear Stress Correction Factor of Spring & Spring Force Amplitude 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 Torsional Stress Amplitude in Spring, Diameter of Spring Wire, Shear Stress Correction Factor of Spring & Spring Force Amplitude. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Spring Index = Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force)
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