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Mean Stress on the Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
mean_stress = 8*Shear Stress Correction Factor*Mean force*Mean Coil Diameter/(pi*Diameter of spring wire^3)
σm = 8*Ks*Pm*D/(pi*d^3)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Shear Stress Correction Factor- Shear Stress Correction Factor is defined the comparing the strain energies of the average shear stresses with those obtained from the equilibrium.
Mean force - The Mean force Value for fatigue loading (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
Shear Stress Correction Factor: 2 --> No Conversion Required
Mean force: 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
σm = 8*Ks*Pm*D/(pi*d^3) --> 8*2*10*0.02/(pi*0.001^3)
Evaluating ... ...
σm = 1018591635.78813
STEP 3: Convert Result to Output's Unit
1018591635.78813 Pascal -->1018.59163578813 Megapascal (Check conversion here)
FINAL ANSWER
1018.59163578813 Megapascal <-- Mean stress of the stress cycle
(Calculation completed in 00.015 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

Mean Stress on the Spring Formula

mean_stress = 8*Shear Stress Correction Factor*Mean force*Mean Coil Diameter/(pi*Diameter of spring wire^3)
σm = 8*Ks*Pm*D/(pi*d^3)

Define a Fluctuating Force?

If an object is moving through a fluid, it experiences drag (air resistance or fluid resistance). Drag dissipates kinetic energy, turning it into heat. The corresponding fluctuation is Brownian motion. Brownian motion converts heat energy into kinetic energy—the reverse of drag.

How to Calculate Mean Stress on the Spring?

Mean Stress on the Spring calculator uses mean_stress = 8*Shear Stress Correction Factor*Mean force*Mean Coil Diameter/(pi*Diameter of spring wire^3) to calculate the Mean stress of the stress cycle, The Mean Stress on the Spring formula is defined as the algebraic mean of the maximum and minimum stress in one cycle. Also called the steady-stress component. Mean stress of the stress cycle and is denoted by σm symbol.

How to calculate Mean Stress on the Spring using this online calculator? To use this online calculator for Mean Stress on the Spring, enter Shear Stress Correction Factor (Ks), Mean force (Pm), Mean Coil Diameter (D) and Diameter of spring wire (d) and hit the calculate button. Here is how the Mean Stress on the Spring calculation can be explained with given input values -> 1018.592 = 8*2*10*0.02/(pi*0.001^3).

FAQ

What is Mean Stress on the Spring?
The Mean Stress on the Spring formula is defined as the algebraic mean of the maximum and minimum stress in one cycle. Also called the steady-stress component and is represented as σm = 8*Ks*Pm*D/(pi*d^3) or mean_stress = 8*Shear Stress Correction Factor*Mean force*Mean Coil Diameter/(pi*Diameter of spring wire^3). Shear Stress Correction Factor is defined the comparing the strain energies of the average shear stresses with those obtained from the equilibrium, The Mean force Value for fatigue loading, 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 Mean Stress on the Spring?
The Mean Stress on the Spring formula is defined as the algebraic mean of the maximum and minimum stress in one cycle. Also called the steady-stress component is calculated using mean_stress = 8*Shear Stress Correction Factor*Mean force*Mean Coil Diameter/(pi*Diameter of spring wire^3). To calculate Mean Stress on the Spring, you need Shear Stress Correction Factor (Ks), Mean force (Pm), Mean Coil Diameter (D) and Diameter of spring wire (d). With our tool, you need to enter the respective value for Shear Stress Correction Factor, Mean force, 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 Mean stress of the stress cycle?
In this formula, Mean stress of the stress cycle uses Shear Stress Correction Factor, Mean force, 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 Mean Stress on the Spring calculator used?
Among many, Mean Stress on the Spring calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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