Mean Coil Diameter of Spring 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%

✖Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.ⓘ Mean Coil Diameter of Spring given Torsional Stress Amplitude [D]

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Mean Coil Diameter of Spring given Torsional Stress Amplitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Coil Diameter of Spring = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^3)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)
D = τ_a*(pi*d^3)/(8*K_s*P_a)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Mean Coil Diameter of Spring - (Measured in Meter) - Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.
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

D = τ_a*(pi*d^3)/(8*K_s*P_a) --> 77000000*(pi*0.004004738^3)/(8*1.08*50.2)

Evaluating ... ...

D = 0.0358216399493742

STEP 3: Convert Result to Output's Unit

0.0358216399493742 Meter -->35.8216399493742 Millimeter (Check conversion here)

FINAL ANSWER

35.8216399493742 ≈ 35.82164 Millimeter <-- Mean Coil Diameter of Spring

(Calculation completed in 00.020 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

Mean Coil Diameter of Spring given Torsional Stress Amplitude Formula

LaTeX Go

Mean Coil Diameter of Spring = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^3)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)
D = τ_a*(pi*d^3)/(8*K_s*P_a)

Define a Mechanical Spring?

A metal wire spring that functions in a spring mechanism that compresses, extends,rotates, slides, pulls and exerts force when an equal or greater force is applied. A spring mechanism can exert pressure, rotational force or pulling strength in a variety of ways.

How to Calculate Mean Coil Diameter of Spring given Torsional Stress Amplitude?

Mean Coil Diameter of Spring given Torsional Stress Amplitude calculator uses Mean Coil Diameter of Spring = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^3)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude) to calculate the Mean Coil Diameter of Spring, Mean Coil Diameter of Spring given Torsional Stress Amplitude formula is defined as a measure of the average diameter of a spring coil under torsional stress, which is essential in designing springs against fluctuating loads, ensuring the spring's reliability and performance. Mean Coil Diameter of Spring is denoted by D symbol.

How to calculate Mean Coil Diameter of Spring given Torsional Stress Amplitude using this online calculator? To use this online calculator for Mean Coil Diameter of Spring 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 Mean Coil Diameter of Spring given Torsional Stress Amplitude calculation can be explained with given input values -> 35821.64 = 77000000*(pi*0.004004738^3)/(8*1.08*49.95129).

FAQ

What is Mean Coil Diameter of Spring given Torsional Stress Amplitude?

Mean Coil Diameter of Spring given Torsional Stress Amplitude formula is defined as a measure of the average diameter of a spring coil under torsional stress, which is essential in designing springs against fluctuating loads, ensuring the spring's reliability and performance and is represented as D = τ_a*(pi*d^3)/(8*K_s*P_a) or Mean Coil Diameter of Spring = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^3)/(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 Mean Coil Diameter of Spring given Torsional Stress Amplitude?

Mean Coil Diameter of Spring given Torsional Stress Amplitude formula is defined as a measure of the average diameter of a spring coil under torsional stress, which is essential in designing springs against fluctuating loads, ensuring the spring's reliability and performance is calculated using Mean Coil Diameter of Spring = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^3)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude). To calculate Mean Coil Diameter of Spring 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 Mean Coil Diameter of Spring?

In this formula, Mean Coil Diameter of Spring 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 -

Mean Coil Diameter of Spring = (Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force))

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