Mean Force on Spring given Mean Stress Calculator

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

✖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 Force on Spring given Mean Stress [P_m]

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Mean Force on Spring given Mean Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P_m = σ_m*(pi*d^3)/(8*K_s*D)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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 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.
Diameter of Spring Wire - (Measured in Meter) - Diameter of Spring Wire is the diameter of the wire of which a spring is made.
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 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.

STEP 1: Convert Input(s) to Base Unit

Mean Shear Stress in Spring: 156 Newton per Square Millimeter --> 156000000 Pascal (Check conversion here)
Diameter of Spring Wire: 4.004738 Millimeter --> 0.004004738 Meter (Check conversion here)
Shear Stress Correction Factor of Spring: 1.08 --> No Conversion Required
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_m = σ_m*(pi*d^3)/(8*K_s*D) --> 156000000*(pi*0.004004738^3)/(8*1.08*0.036)

Evaluating ... ...

P_m = 101.200009657842

STEP 3: Convert Result to Output's Unit

101.200009657842 Newton --> No Conversion Required

FINAL ANSWER

101.200009657842 ≈ 101.2 Newton <-- Mean Spring Force

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Mechanical » Design Against Fluctuating Load » Mean Force on Spring given Mean Stress

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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

Verified by Urvi Rathod

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 Force on Spring given Mean Stress Formula

LaTeX 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)
P_m = σ_m*(pi*d^3)/(8*K_s*D)

Define 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 Force on Spring given Mean Stress?

Mean Force on Spring given Mean Stress calculator uses 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) to calculate the Mean Spring Force, Mean Force on Spring given Mean Stress formula is defined as a measure of the average force exerted on a spring under fluctuating load conditions, providing a critical design parameter to ensure the structural integrity of the spring against repeated loading and unloading cycles. Mean Spring Force is denoted by P_m symbol.

How to calculate Mean Force on Spring given Mean Stress using this online calculator? To use this online calculator for Mean Force on Spring given Mean Stress, enter Mean Shear Stress in Spring (σ_m), Diameter of Spring Wire (d), Shear Stress Correction Factor of Spring (K_s) & Mean Coil Diameter of Spring (D) and hit the calculate button. Here is how the Mean Force on Spring given Mean Stress calculation can be explained with given input values -> 100.8412 = 156000000*(pi*0.004004738^3)/(8*1.08*0.036).

FAQ

What is Mean Force on Spring given Mean Stress?

Mean Force on Spring given Mean Stress formula is defined as a measure of the average force exerted on a spring under fluctuating load conditions, providing a critical design parameter to ensure the structural integrity of the spring against repeated loading and unloading cycles and is represented as P_m = σ_m*(pi*d^3)/(8*K_s*D) or 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). Mean Shear Stress in Spring is defined as the amount of mean stress acting when spring is subjected to fluctuating stress, Diameter of Spring Wire is the diameter of the wire of which a spring is made, Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium & Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.

How to calculate Mean Force on Spring given Mean Stress?

Mean Force on Spring given Mean Stress formula is defined as a measure of the average force exerted on a spring under fluctuating load conditions, providing a critical design parameter to ensure the structural integrity of the spring against repeated loading and unloading cycles is calculated using 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). To calculate Mean Force on Spring given Mean Stress, you need Mean Shear Stress in Spring (σ_m), Diameter of Spring Wire (d), Shear Stress Correction Factor of Spring (K_s) & Mean Coil Diameter of Spring (D). With our tool, you need to enter the respective value for Mean Shear Stress in Spring, Diameter of Spring Wire, Shear Stress Correction Factor of Spring & Mean Coil Diameter of Spring 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 Spring Force?

In this formula, Mean Spring Force uses Mean Shear Stress in Spring, Diameter of Spring Wire, Shear Stress Correction Factor of Spring & Mean Coil Diameter of Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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