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## Diameter of the Spring Wire When Torsional Stress Amplitude is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
diameter_of_spring_wire = (8*Stress Factor*Force Amplitude*Mean Coil Diameter/(pi*Torsional Stress Amplitude))^(1/3)
d = (8*k*Pa*D/(pi*τa))^(1/3)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Stress Factor- Stress Factor is defined as the load per unit deflection. In order to take into account the effect of direct shear and change in coil curvature a stress factor.
Force Amplitude - The Force Amplitude Value for fatigue stress (Measured in Newton)
Mean Coil Diameter - Mean Coil Diameter is defined as the average of the outer and inner coil diameters. (Measured in Millimeter)
Torsional Stress Amplitude - Torsional Stress Amplitude is defined as the effect of stress concentration due to curvature in addition to direct shear stress (Measured in Newton per Square Millimeter)
STEP 1: Convert Input(s) to Base Unit
Stress Factor: 1 --> No Conversion Required
Force Amplitude: 10 Newton --> 10 Newton No Conversion Required
Mean Coil Diameter: 20 Millimeter --> 0.02 Meter (Check conversion here)
Torsional Stress Amplitude: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = (8*k*Pa*D/(pi*τa))^(1/3) --> (8*1*10*0.02/(pi*50000000))^(1/3)
Evaluating ... ...
d = 0.00216770428055716
STEP 3: Convert Result to Output's Unit
0.00216770428055716 Meter -->2.16770428055716 Millimeter (Check conversion here)
2.16770428055716 Millimeter <-- Diameter of spring wire
(Calculation completed in 00.016 seconds)

## < 10+ Design Against Fluctuating Load Calculators

Shear Stress Correction Factor When Mean Stress on the Spring is Given
shear_stress_correction_factor = Mean stress of the stress cycle*(pi*Diameter of spring wire^3)/8*Mean force*Mean Coil Diameter Go
Mean Diameter of the Coil When Mean Stress on the Spring is Given
mean_coil_diameter = Mean stress of the stress cycle*(pi*Diameter of spring wire^3)/8*Shear Stress Correction Factor*Mean force Go
Mean Force When Mean Stress on the Spring is Given
mean_force = Mean stress of the stress cycle*(pi*Diameter of spring wire^3)/8*Shear Stress Correction Factor*Mean Coil Diameter Go
Mean Stress on the Spring
mean_stress = 8*Shear Stress Correction Factor*Mean force*Mean Coil Diameter/(pi*Diameter of spring wire^3) Go
Force Amplitude of the Spring
force_amplitude = .5*(Maximum Force-Minimum Force) Go
Minimum Force on the Spring When Force Amplitude is Given
minimum_force = 2*Force Amplitude+Maximum Force Go
Maximum Force When Force Amplitude is Given
maximum_force = 2*Force Amplitude+Minimum Force Go
Maximum Force on the Spring When Mean Force is Given
maximum_force = 2*Mean force-Minimum Force Go
Minimum Force on the Spring When Mean Force is Given
minimum_force = 2*Mean force-Maximum Force Go
Mean Force
mean_force = Minimum Force+Maximum Force Go

### Diameter of the Spring Wire When Torsional Stress Amplitude is Given Formula

diameter_of_spring_wire = (8*Stress Factor*Force Amplitude*Mean Coil Diameter/(pi*Torsional Stress Amplitude))^(1/3)
d = (8*k*Pa*D/(pi*τa))^(1/3)

## 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 the Spring Wire When Torsional Stress Amplitude is Given?

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

How to calculate Diameter of the Spring Wire When Torsional Stress Amplitude is Given using this online calculator? To use this online calculator for Diameter of the Spring Wire When Torsional Stress Amplitude is Given, enter Stress Factor (k), Force Amplitude (Pa), Mean Coil Diameter (D) and Torsional Stress Amplitude a) and hit the calculate button. Here is how the Diameter of the Spring Wire When Torsional Stress Amplitude is Given calculation can be explained with given input values -> 2.167704 = (8*1*10*0.02/(pi*50000000))^(1/3).

### FAQ

What is Diameter of the Spring Wire When Torsional Stress Amplitude is Given?
The Diameter of the Spring Wire When Torsional Stress Amplitude is Given 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*Pa*D/(pi*τa))^(1/3) or diameter_of_spring_wire = (8*Stress Factor*Force Amplitude*Mean Coil Diameter/(pi*Torsional Stress Amplitude))^(1/3). Stress Factor is defined as the load per unit deflection. In order to take into account the effect of direct shear and change in coil curvature a stress factor, The Force Amplitude Value for fatigue stress, Mean Coil Diameter is defined as the average of the outer and inner coil diameters and Torsional Stress Amplitude is defined as the effect of stress concentration due to curvature in addition to direct shear stress.
How to calculate Diameter of the Spring Wire When Torsional Stress Amplitude is Given?
The Diameter of the Spring Wire When Torsional Stress Amplitude is Given 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*Stress Factor*Force Amplitude*Mean Coil Diameter/(pi*Torsional Stress Amplitude))^(1/3). To calculate Diameter of the Spring Wire When Torsional Stress Amplitude is Given, you need Stress Factor (k), Force Amplitude (Pa), Mean Coil Diameter (D) and Torsional Stress Amplitude a). With our tool, you need to enter the respective value for Stress Factor, Force Amplitude, Mean Coil Diameter and Torsional Stress 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 Diameter of spring wire?
In this formula, Diameter of spring wire uses Stress Factor, Force Amplitude, Mean Coil Diameter and Torsional Stress Amplitude. We can use 10 other way(s) to calculate the same, which is/are as follows -
• mean_force = Minimum Force+Maximum Force
• maximum_force = 2*Mean force-Minimum Force
• minimum_force = 2*Mean force-Maximum Force
• force_amplitude = .5*(Maximum Force-Minimum Force)
• maximum_force = 2*Force Amplitude+Minimum Force
• minimum_force = 2*Force Amplitude+Maximum Force
• mean_stress = 8*Shear Stress Correction Factor*Mean force*Mean Coil Diameter/(pi*Diameter of spring wire^3)
• shear_stress_correction_factor = Mean stress of the stress cycle*(pi*Diameter of spring wire^3)/8*Mean force*Mean Coil Diameter
• mean_force = Mean stress of the stress cycle*(pi*Diameter of spring wire^3)/8*Shear Stress Correction Factor*Mean Coil Diameter
• mean_coil_diameter = Mean stress of the stress cycle*(pi*Diameter of spring wire^3)/8*Shear Stress Correction Factor*Mean force
Where is the Diameter of the Spring Wire When Torsional Stress Amplitude is Given calculator used?
Among many, Diameter of the Spring Wire When Torsional Stress Amplitude is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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