Spring Index given Torsional Stress Amplitude Calculator

✖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.ⓘ Torsional Stress Amplitude in Spring [τ_a]			+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%
✖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.ⓘ Spring Force Amplitude [P_a]			+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 Torsional Stress Amplitude [C]

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Formula

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Spring Index given Torsional Stress Amplitude

Formula

C = τ a \cdot \frac{π \cdot d^{2}}{8 \cdot K s \cdot P a}

Example

8.923662 = 77 N/mm² \cdot \frac{π \cdot {4 mm}^{2}}{8 \cdot 1.08 \cdot 50.2 N}

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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 = τ_a*(pi*d^2)/(8*K_s*P_a)
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 Millimeter --> 0.004 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 = τ_a*(pi*d^2)/(8*K_s*P_a) --> 77000000*(pi*0.004^2)/(8*1.08*50.2)

Evaluating ... ...

C = 8.92366217819146

STEP 3: Convert Result to Output's Unit

8.92366217819146 --> No Conversion Required

FINAL ANSWER

8.92366217819146 ≈ 8.923662 <-- Spring Index

(Calculation completed in 00.004 seconds)

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< Design Against Fluctuating Load Calculators

Force Amplitude of Spring

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

Mean Force on spring

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

Maximum Force on Spring given Mean Force

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

Minimum Force on Spring given Mean Force

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

Spring Index given Torsional Stress Amplitude Formula

Spring Index = Torsional Stress Amplitude in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)
C = τ_a*(pi*d^2)/(8*K_s*P_a)

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, The Spring Index given Torsional Stress Amplitude formula is defined as the ratio of the mean coil diameter of the spring and diameter of the spring. 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 (τ_a), Diameter of spring wire (d), Shear Stress Correction Factor of Spring (K_s) & Spring Force Amplitude (P_a) and hit the calculate button. Here is how the Spring Index given Torsional Stress Amplitude calculation can be explained with given input values -> 8.923662 = 77000000*(pi*0.004^2)/(8*1.08*50.2).

FAQ

What is Spring Index given Torsional Stress Amplitude?

The Spring Index given Torsional Stress Amplitude formula is defined as the ratio of the mean coil diameter of the spring and diameter of the spring and is represented as C = τ_a*(pi*d^2)/(8*K_s*P_a) 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?

The Spring Index given Torsional Stress Amplitude formula is defined as the ratio of the mean coil diameter of the spring and diameter of the spring 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 (τ_a), Diameter of spring wire (d), Shear Stress Correction Factor of Spring (K_s) & Spring Force Amplitude (P_a). 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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