Mean Force on Spring given Mean Stress Calculator

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Design Against Fluctuating Load

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Stress and Deflections in Springs

✖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%
✖The 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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Formula

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Mean Force on Spring given Mean Stress

Formula

`"P"_{"m"} = "σ"_{"m"}*(pi*"d"^3)/(8*"K"_{"s"}*"D")`

Example

`"100.8412N"="156N/mm²"*(pi*("4mm")^3)/(8*"1.08"*"36mm")`

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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) - The 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 Millimeter --> 0.004 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*0.004^3)/(8*1.08*0.036)

Evaluating ... ...

P_m = 100.841245670783

STEP 3: Convert Result to Output's Unit

100.841245670783 Newton --> No Conversion Required

FINAL ANSWER

100.841245670783 ≈ 100.8412 Newton <-- Mean Spring Force

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

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 Force on Spring given Mean Stress Formula

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 the average of the maximum force and minimum of the fluctuating forces. 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*0.004^3)/(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 the average of the maximum force and minimum of the fluctuating forces 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 & The 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 the average of the maximum force and minimum of the fluctuating forces 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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