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Force Amplitude When Torsional Stress Amplitude is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
force_amplitude = Torsional Stress Amplitude*(pi*Diameter of spring wire^3)/8*Stress Factor*Mean Coil Diameter
Pa = τa*(pi*d^3)/8*k*D
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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)
Diameter of spring wire - Diameter of spring wire is the diameter length of helical spring wire. (Measured in Millimeter)
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.
Mean Coil Diameter - Mean Coil Diameter is defined as the average of the outer and inner coil diameters. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Torsional Stress Amplitude: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)
Diameter of spring wire: 1 Millimeter --> 0.001 Meter (Check conversion here)
Stress Factor: 1 --> No Conversion Required
Mean Coil Diameter: 20 Millimeter --> 0.02 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pa = τa*(pi*d^3)/8*k*D --> 50000000*(pi*0.001^3)/8*1*0.02
Evaluating ... ...
Pa = 0.000392699081698724
STEP 3: Convert Result to Output's Unit
0.000392699081698724 Newton --> No Conversion Required
FINAL ANSWER
0.000392699081698724 Newton <-- Force Amplitude
(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

Force Amplitude When Torsional Stress Amplitude is Given Formula

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

Define Force Amplitude?

Amplitude, in physics, the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path.

How to Calculate Force Amplitude When Torsional Stress Amplitude is Given?

Force Amplitude When Torsional Stress Amplitude is Given calculator uses force_amplitude = Torsional Stress Amplitude*(pi*Diameter of spring wire^3)/8*Stress Factor*Mean Coil Diameter to calculate the Force Amplitude, The Force Amplitude When Torsional Stress Amplitude is Given formula is defined as the average of the difference between the maximum force and the minimum force among the fluctuating forces. Force Amplitude and is denoted by Pa symbol.

How to calculate Force Amplitude When Torsional Stress Amplitude is Given using this online calculator? To use this online calculator for Force Amplitude When Torsional Stress Amplitude is Given, enter Torsional Stress Amplitude a), Diameter of spring wire (d), Stress Factor (k) and Mean Coil Diameter (D) and hit the calculate button. Here is how the Force Amplitude When Torsional Stress Amplitude is Given calculation can be explained with given input values -> 0.000393 = 50000000*(pi*0.001^3)/8*1*0.02.

FAQ

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