Mean Stress on Spring Calculator

✖Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium.ⓘ Shear Stress Correction Factor of Spring [K_s]			+10% -10%
✖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 Spring Force [P_m]			+10% -10%
✖Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.ⓘ Mean Coil Diameter of Spring [D]			+10% -10%
✖Diameter of Spring Wire is the diameter of the wire of which a spring is made.ⓘ Diameter of Spring Wire [d]			+10% -10%

✖Mean Shear Stress in Spring is defined as the amount of mean stress acting when spring is subjected to fluctuating stress.ⓘ Mean Stress on Spring [σ_m]

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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)
σ_m = 8*K_s*P_m*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) - 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: 4.004738 Millimeter --> 0.004004738 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_m = 8*K_s*P_m*D/(pi*d^3) --> 8*1.08*101.2*0.036/(pi*0.004004738^3)

Evaluating ... ...

σ_m = 155999985.112418

STEP 3: Convert Result to Output's Unit

155999985.112418 Pascal -->155.999985112418 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

155.999985112418 ≈ 156 Newton per Square Millimeter <-- Mean Shear Stress in Spring

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Design Against Fluctuating Load Calculators

Force Amplitude of Spring

LaTeX Go Spring Force Amplitude = .5*(Maximum Force of Spring-Minimum Force of Spring)

Mean Force on spring

LaTeX Go Mean Spring Force = (Minimum Force of Spring+Maximum Force of Spring)/2

Maximum Force on Spring given Mean Force

LaTeX Go Maximum Force of Spring = 2*Mean Spring Force-Minimum Force of Spring

Minimum Force on Spring given Mean Force

LaTeX Go Minimum Force of Spring = 2*Mean Spring Force-Maximum Force of Spring

Mean Stress on Spring Formula

LaTeX 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)
σ_m = 8*K_s*P_m*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, Mean Stress on Spring formula is defined as a measure of the average stress experienced by a spring under fluctuating loads, providing a critical design parameter to ensure the spring's reliability and performance in various engineering applications. Mean Shear Stress in Spring is denoted by σ_m 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 (K_s), Mean Spring Force (P_m), 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*0.004004738^3).

FAQ

What is Mean Stress on Spring?

Mean Stress on Spring formula is defined as a measure of the average stress experienced by a spring under fluctuating loads, providing a critical design parameter to ensure the spring's reliability and performance in various engineering applications and is represented as σ_m = 8*K_s*P_m*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, 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?

Mean Stress on Spring formula is defined as a measure of the average stress experienced by a spring under fluctuating loads, providing a critical design parameter to ensure the spring's reliability and performance in various engineering applications 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 (K_s), Mean Spring Force (P_m), 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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