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Diameter of the Spring Wire When Mean Stress on the Spring is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
diameter_of_spring_wire = (8*Shear Stress Correction Factor*Mean force*Mean Coil Diameter/(pi*Mean stress of the stress cycle))^(1/3)
d = (8*Ks*Pm*D/(pi*σm))^(1/3)
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)
Mean stress of the stress cycle - Mean stress of the stress cycle in fatigue. (Measured in Megapascal)
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)
Mean stress of the stress cycle: 50 Megapascal --> 50000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = (8*Ks*Pm*D/(pi*σm))^(1/3) --> (8*2*10*0.02/(pi*50000000))^(1/3)
Evaluating ... ...
d = 0.00273113625302118
STEP 3: Convert Result to Output's Unit
0.00273113625302118 Meter -->2.73113625302118 Millimeter (Check conversion here)
FINAL ANSWER
2.73113625302118 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 Mean Stress on the Spring is Given Formula

diameter_of_spring_wire = (8*Shear Stress Correction Factor*Mean force*Mean Coil Diameter/(pi*Mean stress of the stress cycle))^(1/3)
d = (8*Ks*Pm*D/(pi*σm))^(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 Mean Stress on the Spring is Given?

Diameter of the Spring Wire When Mean Stress on the Spring is Given calculator uses diameter_of_spring_wire = (8*Shear Stress Correction Factor*Mean force*Mean Coil Diameter/(pi*Mean stress of the stress cycle))^(1/3) to calculate the Diameter of spring wire, The Diameter of the Spring Wire When Mean Stress on the Spring is Given formula is defined as the diameter or the thickness 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 Mean Stress on the Spring is Given using this online calculator? To use this online calculator for Diameter of the Spring Wire When Mean Stress on the Spring is Given, enter Shear Stress Correction Factor (Ks), Mean force (Pm), Mean Coil Diameter (D) and Mean stress of the stress cycle m) and hit the calculate button. Here is how the Diameter of the Spring Wire When Mean Stress on the Spring is Given calculation can be explained with given input values -> 2.731136 = (8*2*10*0.02/(pi*50000000))^(1/3).

FAQ

What is Diameter of the Spring Wire When Mean Stress on the Spring is Given?
The Diameter of the Spring Wire When Mean Stress on the Spring is Given formula is defined as the diameter or the thickness of the wire by which the spring coil is made and is represented as d = (8*Ks*Pm*D/(pi*σm))^(1/3) or diameter_of_spring_wire = (8*Shear Stress Correction Factor*Mean force*Mean Coil Diameter/(pi*Mean stress of the stress cycle))^(1/3). 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 Mean stress of the stress cycle in fatigue.
How to calculate Diameter of the Spring Wire When Mean Stress on the Spring is Given?
The Diameter of the Spring Wire When Mean Stress on the Spring is Given formula is defined as the diameter or the thickness of the wire by which the spring coil is made is calculated using diameter_of_spring_wire = (8*Shear Stress Correction Factor*Mean force*Mean Coil Diameter/(pi*Mean stress of the stress cycle))^(1/3). To calculate Diameter of the Spring Wire When Mean Stress on the Spring is Given, you need Shear Stress Correction Factor (Ks), Mean force (Pm), Mean Coil Diameter (D) and Mean stress of the stress cycle m). With our tool, you need to enter the respective value for Shear Stress Correction Factor, Mean force, Mean Coil Diameter and Mean stress of the stress cycle 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, Mean force, Mean Coil Diameter and Mean stress of the stress cycle. 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 Mean Stress on the Spring is Given calculator used?
Among many, Diameter of the Spring Wire When Mean Stress on the Spring is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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