Diameter of Spring Wire given Torsional Stress Amplitude Calculator

✖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%
✖The 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 [D]			+10% -10%
✖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 given Torsional Stress Amplitude [d]

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Formula

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Diameter of Spring Wire given Torsional Stress Amplitude

Formula

d = {(8 \cdot K s \cdot P a \cdot \frac{D}{π \cdot τ a})}^{\frac{1}{3}}

Example

4.011374 mm = {(8 \cdot 1.08 \cdot 50.2 N \cdot \frac{36 mm}{π \cdot 77 N/mm²})}^{\frac{1}{3}}

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Diameter of Spring Wire given Torsional Stress Amplitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Mean Coil Diameter of Spring - (Measured in Meter) - The 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.

STEP 1: Convert Input(s) to Base Unit

Shear Stress Correction Factor of Spring: 1.08 --> No Conversion Required
Spring Force Amplitude: 50.2 Newton --> 50.2 Newton No Conversion Required
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 Meter (Check conversion here)
Torsional Stress Amplitude in Spring: 77 Newton per Square Millimeter --> 77000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (8*K_s*P_a*D/(pi*τ_a))^(1/3) --> (8*1.08*50.2*0.036/(pi*77000000))^(1/3)

Evaluating ... ...

d = 0.00401137368203605

STEP 3: Convert Result to Output's Unit

0.00401137368203605 Meter -->4.01137368203605 Millimeter (Check conversion here)

FINAL ANSWER

4.01137368203605 ≈ 4.011374 Millimeter <-- Diameter of spring wire

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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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

Diameter of Spring Wire given Torsional Stress Amplitude Formula

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 Diameter of Spring Wire given Torsional Stress Amplitude?

Diameter of Spring Wire given Torsional Stress Amplitude calculator uses Diameter of spring wire = (8*Shear Stress Correction Factor of Spring*Spring Force Amplitude*Mean Coil Diameter of Spring/(pi*Torsional Stress Amplitude in Spring))^(1/3) to calculate the Diameter of spring wire, The Diameter of Spring Wire given Torsional Stress Amplitude formula is defined as the thickness or the diameter of the wire by which the spring coil is made. Diameter of spring wire is denoted by d symbol.

How to calculate Diameter of Spring Wire given Torsional Stress Amplitude using this online calculator? To use this online calculator for Diameter of Spring Wire given Torsional Stress Amplitude, enter Shear Stress Correction Factor of Spring (K_s), Spring Force Amplitude (P_a), Mean Coil Diameter of Spring (D) & Torsional Stress Amplitude in Spring (τ_a) and hit the calculate button. Here is how the Diameter of Spring Wire given Torsional Stress Amplitude calculation can be explained with given input values -> 4011.374 = (8*1.08*50.2*0.036/(pi*77000000))^(1/3).

FAQ

What is Diameter of Spring Wire given Torsional Stress Amplitude?

The Diameter of Spring Wire given Torsional Stress Amplitude formula is defined as the thickness or the diameter of the wire by which the spring coil is made and is represented as d = (8*K_s*P_a*D/(pi*τ_a))^(1/3) or Diameter of spring wire = (8*Shear Stress Correction Factor of Spring*Spring Force Amplitude*Mean Coil Diameter of Spring/(pi*Torsional Stress Amplitude in Spring))^(1/3). 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, The 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 is defined as the effect of stress concentration due to curvature in addition to direct shear stress in the spring.

How to calculate Diameter of Spring Wire given Torsional Stress Amplitude?

The Diameter of Spring Wire given Torsional Stress Amplitude formula is defined as the thickness or the diameter of the wire by which the spring coil is made is calculated using Diameter of spring wire = (8*Shear Stress Correction Factor of Spring*Spring Force Amplitude*Mean Coil Diameter of Spring/(pi*Torsional Stress Amplitude in Spring))^(1/3). To calculate Diameter of Spring Wire given Torsional Stress Amplitude, you need Shear Stress Correction Factor of Spring (K_s), Spring Force Amplitude (P_a), Mean Coil Diameter of Spring (D) & Torsional Stress Amplitude in Spring (τ_a). With our tool, you need to enter the respective value for Shear Stress Correction Factor of Spring, Spring Force Amplitude, Mean Coil Diameter of Spring & Torsional Stress Amplitude in Spring 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 Diameter of spring wire?

In this formula, Diameter of spring wire uses Shear Stress Correction Factor of Spring, Spring Force Amplitude, Mean Coil Diameter of Spring & Torsional Stress Amplitude in Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of spring wire = (8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Mean Shear Stress in Spring))^(1/3)

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