Mean Stress on Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Shear Stress in Spring = 8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Diameter of spring wire^3)
σm = 8*Ks*Pm*D/(pi*d^3)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Mean Shear Stress in Spring - (Measured in Pascal) - Mean Shear Stress in Spring is defined as the amount of mean stress acting when spring is subjected to fluctuating stress.
Shear Stress Correction Factor of Spring - Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium.
Mean Spring Force - (Measured in Newton) - Mean Spring Force is defined as the average of the maximum force and the minimum force of the fluctuating forces on the spring or by the spring.
Mean Coil Diameter of Spring - (Measured in Meter) - The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the diameter of the wire of which a spring is made.
STEP 1: Convert Input(s) to Base Unit
Shear Stress Correction Factor of Spring: 1.08 --> No Conversion Required
Mean Spring Force: 101.2 Newton --> 101.2 Newton No Conversion Required
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 Meter (Check conversion here)
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σm = 8*Ks*Pm*D/(pi*d^3) --> 8*1.08*101.2*0.036/(pi*0.004^3)
Evaluating ... ...
σm = 156554987.941546
STEP 3: Convert Result to Output's Unit
156554987.941546 Pascal -->156.554987941546 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
156.554987941546 156.555 Newton per Square Millimeter <-- Mean Shear Stress in Spring
(Calculation completed in 00.004 seconds)

Credits

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Osmania University (OU), Hyderabad
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22 Design Against Fluctuating Load Calculators

Diameter of Spring Wire given Torsional Stress Amplitude
Go Diameter of spring wire = (8*Shear Stress Correction Factor of Spring*Spring Force Amplitude*Mean Coil Diameter of Spring/(pi*Torsional Stress Amplitude in Spring))^(1/3)
Mean Coil Diameter of Spring given Torsional Stress Amplitude
Go Mean Coil Diameter of Spring = Torsional Stress Amplitude in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)
Force Amplitude on Spring given Torsional Stress Amplitude
Go Spring Force Amplitude = Torsional Stress Amplitude in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Coil Diameter of Spring)
Torsional Stress Amplitude in Spring
Go Torsional Stress Amplitude in Spring = 8*Shear Stress Correction Factor of Spring*Spring Force Amplitude*Mean Coil Diameter of Spring/(pi*Diameter of spring wire^3)
Diameter of Spring Wire given Mean Stress in Spring
Go Diameter of spring wire = (8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Mean Shear Stress in Spring))^(1/3)
Mean Diameter of Spring coil given Mean Stress on Spring
Go Mean Coil Diameter of Spring = (Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force))
Shear Stress Correction Factor for Spring given Mean Stress
Go Shear Stress Correction Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Mean Spring Force*Mean Coil Diameter of Spring)
Mean Force on Spring given Mean Stress
Go Mean Spring Force = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Coil Diameter of Spring)
Spring Index given Torsional Stress Amplitude
Go Spring Index = Torsional Stress Amplitude in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)
Mean Stress on Spring
Go Mean Shear Stress in Spring = 8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Diameter of spring wire^3)
Shear Stress Factor for Spring given Torsional stress amplitude
Go Wahl Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Spring Force Amplitude*Mean Coil Diameter of Spring)
Spring Index given Mean Stress on spring
Go Spring Index = Mean Shear Stress in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force)
Force Amplitude of Spring
Go Spring Force Amplitude = .5*(Maximum Force of Spring-Minimum Force of Spring)
Minimum Force on Spring given Force Amplitude
Go Minimum Force of Spring = Maximum Force of Spring-(2*Spring Force Amplitude)
Maximum Force on Spring given Force Amplitude
Go Maximum Force of Spring = 2*Spring Force Amplitude+Minimum Force of Spring
Mean Force on spring
Go Mean Spring Force = (Minimum Force of Spring+Maximum Force of Spring)/2
Maximum Force on Spring given Mean Force
Go Maximum Force of Spring = 2*Mean Spring Force-Minimum Force of Spring
Minimum Force on Spring given Mean Force
Go Minimum Force of Spring = 2*Mean Spring Force-Maximum Force of Spring
Ultimate Tensile Stress of Patented and Cold drawn Steel wires
Go Ultimate tensile strength of spring = Shear yield strength of spring wire/0.42
Shear Yield Strength of Patented and Cold-drawn Steel Wires
Go Shear yield strength of spring wire = 0.42*Ultimate tensile strength of spring
Ultimate Tensile Stress of Ol hardened tempered Steel wires
Go Ultimate tensile strength of spring = Shear yield strength of spring wire/0.45
Shear Yield Strength of Oil-hardened Tempered Steel Wires
Go Shear yield strength of spring wire = 0.45*Ultimate tensile strength of spring

Mean Stress on Spring Formula

Mean Shear Stress in Spring = 8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(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 Spring?

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

How to calculate Mean Stress on Spring using this online calculator? To use this online calculator for Mean Stress on Spring, enter Shear Stress Correction Factor of Spring (Ks), Mean Spring Force (Pm), Mean Coil Diameter of Spring (D) & Diameter of spring wire (d) and hit the calculate button. Here is how the Mean Stress on Spring calculation can be explained with given input values -> 0.000157 = 8*1.08*101.2*0.036/(pi*0.004^3).

FAQ

What is Mean Stress on Spring?
The Mean Stress on 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 Shear Stress in Spring = 8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Diameter of spring wire^3). Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium, Mean Spring Force is defined as the average of the maximum force and the minimum force of the fluctuating forces on the spring or by the spring, The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring & Diameter of spring wire is the diameter of the wire of which a spring is made.
How to calculate Mean Stress on Spring?
The Mean Stress on 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 Shear Stress in Spring = 8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Diameter of spring wire^3). To calculate Mean Stress on Spring, you need Shear Stress Correction Factor of Spring (Ks), Mean Spring Force (Pm), Mean Coil Diameter of Spring (D) & Diameter of spring wire (d). With our tool, you need to enter the respective value for Shear Stress Correction Factor of Spring, Mean Spring Force, Mean Coil Diameter of Spring & 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.
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