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## Credits

Kethavath Srinath has created this Calculator and 500+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1000+ more calculators!

## Torsional Stress Amplitude Solution

STEP 0: Pre-Calculation Summary
Formula Used
torsional_stress_amplitude = 8*Stress Factor*Force Amplitude*Mean Coil Diameter/(pi*Diameter of spring wire^3)
τa = 8*k*Pa*D/(pi*d^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)
Diameter of spring wire - Diameter of spring wire is the diameter length of helical spring wire. (Measured in 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)
Diameter of spring wire: 1 Millimeter --> 0.001 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τa = 8*k*Pa*D/(pi*d^3) --> 8*1*10*0.02/(pi*0.001^3)
Evaluating ... ...
τa = 509295817.894065
STEP 3: Convert Result to Output's Unit
509295817.894065 Pascal -->509.295817894065 Newton per Square Millimeter (Check conversion here)
509.295817894065 Newton per Square Millimeter <-- Torsional Stress Amplitude
(Calculation completed in 00.031 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

### Torsional Stress Amplitude Formula

torsional_stress_amplitude = 8*Stress Factor*Force Amplitude*Mean Coil Diameter/(pi*Diameter of spring wire^3)
τa = 8*k*Pa*D/(pi*d^3)

## Define Stress Factor?

The stiffness 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 is defined, which is known as Wahl's factor.

## How to Calculate Torsional Stress Amplitude?

Torsional Stress Amplitude calculator uses torsional_stress_amplitude = 8*Stress Factor*Force Amplitude*Mean Coil Diameter/(pi*Diameter of spring wire^3) to calculate the Torsional Stress Amplitude, The Torsional Stress Amplitude formula is defined as the effect of stress concentration due to curvature in addition to direct shear stress. Torsional Stress Amplitude and is denoted by τa symbol.

How to calculate Torsional Stress Amplitude using this online calculator? To use this online calculator for Torsional Stress Amplitude, enter Stress Factor (k), Force Amplitude (Pa), Mean Coil Diameter (D) and Diameter of spring wire (d) and hit the calculate button. Here is how the Torsional Stress Amplitude calculation can be explained with given input values -> 509.2958 = 8*1*10*0.02/(pi*0.001^3).

### FAQ

What is Torsional Stress Amplitude?
The Torsional Stress Amplitude formula is defined as the effect of stress concentration due to curvature in addition to direct shear stress and is represented as τa = 8*k*Pa*D/(pi*d^3) or torsional_stress_amplitude = 8*Stress Factor*Force Amplitude*Mean Coil Diameter/(pi*Diameter of spring wire^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 Diameter of spring wire is the diameter length of helical spring wire.
How to calculate Torsional Stress Amplitude?
The Torsional Stress Amplitude formula is defined as the effect of stress concentration due to curvature in addition to direct shear stress is calculated using torsional_stress_amplitude = 8*Stress Factor*Force Amplitude*Mean Coil Diameter/(pi*Diameter of spring wire^3). To calculate Torsional Stress Amplitude, you need Stress Factor (k), Force Amplitude (Pa), Mean Coil Diameter (D) and Diameter of spring wire (d). With our tool, you need to enter the respective value for Stress Factor, Force Amplitude, Mean Coil Diameter and Diameter of spring wire 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 Torsional Stress Amplitude?
In this formula, Torsional Stress Amplitude uses Stress Factor, Force Amplitude, Mean Coil Diameter and Diameter of spring wire. 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 Torsional Stress Amplitude calculator used?
Among many, Torsional Stress Amplitude calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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