Mean Diameter of Spring coil given Mean Stress on Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
D = (σm*(pi*d^3)/(8*Ks*Pm))
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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 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.
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 Spring Force: 101.2 Newton --> 101.2 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = (σm*(pi*d^3)/(8*Ks*Pm)) --> (156000000*(pi*0.004^3)/(8*1.08*101.2))
Evaluating ... ...
D = 0.0358723798828874
STEP 3: Convert Result to Output's Unit
0.0358723798828874 Meter -->35.8723798828874 Millimeter (Check conversion here)
FINAL ANSWER
35.8723798828874 35.87238 Millimeter <-- Mean Coil Diameter of Spring
(Calculation completed in 00.020 seconds)

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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 Diameter of Spring coil given Mean Stress on Spring Formula

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))
D = (σm*(pi*d^3)/(8*Ks*Pm))

Define a Mechanical Spring?

A metal wire spring that functions in a spring mechanism that compresses, extends,rotates, slides, pulls and exerts force when an equal or greater force is applied. A spring mechanism can exert pressure, rotational force or pulling strength in a variety of ways.

How to Calculate Mean Diameter of Spring coil given Mean Stress on Spring?

Mean Diameter of Spring coil given Mean Stress on Spring calculator uses 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)) to calculate the Mean Coil Diameter of Spring, Mean Diameter of Spring coil given Mean Stress on Spring is defined as the average of the outer diameter and the inner diameter of the spring coil. Mean Coil Diameter of Spring is denoted by D symbol.

How to calculate Mean Diameter of Spring coil given Mean Stress on Spring using this online calculator? To use this online calculator for Mean Diameter of Spring coil given Mean Stress on Spring, enter Mean Shear Stress in Spring m), Diameter of spring wire (d), Shear Stress Correction Factor of Spring (Ks) & Mean Spring Force (Pm) and hit the calculate button. Here is how the Mean Diameter of Spring coil given Mean Stress on Spring calculation can be explained with given input values -> 35872.38 = (156000000*(pi*0.004^3)/(8*1.08*101.2)).

FAQ

What is Mean Diameter of Spring coil given Mean Stress on Spring?
Mean Diameter of Spring coil given Mean Stress on Spring is defined as the average of the outer diameter and the inner diameter of the spring coil and is represented as D = (σm*(pi*d^3)/(8*Ks*Pm)) or 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)). 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 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.
How to calculate Mean Diameter of Spring coil given Mean Stress on Spring?
Mean Diameter of Spring coil given Mean Stress on Spring is defined as the average of the outer diameter and the inner diameter of the spring coil is calculated using 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)). To calculate Mean Diameter of Spring coil given Mean Stress on Spring, you need Mean Shear Stress in Spring m), Diameter of spring wire (d), Shear Stress Correction Factor of Spring (Ks) & Mean Spring Force (Pm). 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 Spring 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 Mean Coil Diameter of Spring?
In this formula, Mean Coil Diameter of Spring uses Mean Shear Stress in Spring, Diameter of spring wire, Shear Stress Correction Factor of Spring & Mean Spring Force. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)
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