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Spring Index When Mean Stress on the spring is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
spring_index = Mean stress of the stress cycle*(pi*Diameter of spring wire^2)/8*Shear Stress Correction Factor*Mean force
C = σm*(pi*d^2)/8*Ks*Pm
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Mean stress of the stress cycle - Mean stress of the stress cycle in fatigue. (Measured in Megapascal)
Diameter of spring wire - Diameter of spring wire is the diameter length of helical spring wire. (Measured in Millimeter)
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)
STEP 1: Convert Input(s) to Base Unit
Mean stress of the stress cycle: 50 Megapascal --> 50000000 Pascal (Check conversion here)
Diameter of spring wire: 1 Millimeter --> 0.001 Meter (Check conversion here)
Shear Stress Correction Factor: 2 --> No Conversion Required
Mean force: 10 Newton --> 10 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = σm*(pi*d^2)/8*Ks*Pm --> 50000000*(pi*0.001^2)/8*2*10
Evaluating ... ...
C = 392.699081698724
STEP 3: Convert Result to Output's Unit
392.699081698724 --> No Conversion Required
FINAL ANSWER
392.699081698724 <-- Spring Index
(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

Spring Index When Mean Stress on the spring is Given Formula

spring_index = Mean stress of the stress cycle*(pi*Diameter of spring wire^2)/8*Shear Stress Correction Factor*Mean force
C = σm*(pi*d^2)/8*Ks*Pm

Define Spring Index?

The spring index is the relationship between the mean diameter and wire diameter. Springs with small indexes increase tooling wear and are more likely to require additional processing steps to ensure adequate life. Large index springs often require additional tolerance on both diameter and length.

How to Calculate Spring Index When Mean Stress on the spring is Given?

Spring Index When Mean Stress on the spring is Given calculator uses spring_index = Mean stress of the stress cycle*(pi*Diameter of spring wire^2)/8*Shear Stress Correction Factor*Mean force to calculate the Spring Index, The Spring Index When Mean Stress on the spring is Given formula is defined as the ratio of the mean coil diameter of the spring and diameter of the spring wire. Spring Index and is denoted by C symbol.

How to calculate Spring Index When Mean Stress on the spring is Given using this online calculator? To use this online calculator for Spring Index When Mean Stress on the spring is Given, enter Mean stress of the stress cycle m), Diameter of spring wire (d), Shear Stress Correction Factor (Ks) and Mean force (Pm) and hit the calculate button. Here is how the Spring Index When Mean Stress on the spring is Given calculation can be explained with given input values -> 392.6991 = 50000000*(pi*0.001^2)/8*2*10.

FAQ

What is Spring Index When Mean Stress on the spring is Given?
The Spring Index When Mean Stress on the spring is Given formula is defined as the ratio of the mean coil diameter of the spring and diameter of the spring wire and is represented as C = σm*(pi*d^2)/8*Ks*Pm or spring_index = Mean stress of the stress cycle*(pi*Diameter of spring wire^2)/8*Shear Stress Correction Factor*Mean force. Mean stress of the stress cycle in fatigue, Diameter of spring wire is the diameter length of helical spring wire, Shear Stress Correction Factor is defined the comparing the strain energies of the average shear stresses with those obtained from the equilibrium and The Mean force Value for fatigue loading.
How to calculate Spring Index When Mean Stress on the spring is Given?
The Spring Index When Mean Stress on the spring is Given formula is defined as the ratio of the mean coil diameter of the spring and diameter of the spring wire is calculated using spring_index = Mean stress of the stress cycle*(pi*Diameter of spring wire^2)/8*Shear Stress Correction Factor*Mean force. To calculate Spring Index When Mean Stress on the spring is Given, you need Mean stress of the stress cycle m), Diameter of spring wire (d), Shear Stress Correction Factor (Ks) and Mean force (Pm). With our tool, you need to enter the respective value for Mean stress of the stress cycle, Diameter of spring wire, Shear Stress Correction Factor and Mean force 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 Spring Index?
In this formula, Spring Index uses Mean stress of the stress cycle, Diameter of spring wire, Shear Stress Correction Factor and Mean force. 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 Spring Index When Mean Stress on the spring is Given calculator used?
Among many, Spring Index 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 -
{FormulaExamplesList}
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