Mean Diameter of Spring coil given Mean Stress on Spring 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 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 Diameter of Spring coil given Mean Stress on Spring [D]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Design of Automobile Elements Formula PDF PDF Image

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 = (σ_m*(pi*d^3)/(8*K_s*P_m))
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) - 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: 4.004738 Millimeter --> 0.004004738 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 = (σ_m*(pi*d^3)/(8*K_s*P_m)) --> (156000000*(pi*0.004004738^3)/(8*1.08*101.2))

Evaluating ... ...

D = 0.0360000034355961

STEP 3: Convert Result to Output's Unit

0.0360000034355961 Meter -->36.0000034355961 Millimeter (Check conversion here)

FINAL ANSWER

36.0000034355961 ≈ 36 Millimeter <-- Mean Coil Diameter of Spring

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

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

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 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 Diameter of Spring coil given Mean Stress on Spring Formula

LaTeX 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))
D = (σ_m*(pi*d^3)/(8*K_s*P_m))

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 formula is defined as a measure of the diameter of a spring coil under a given mean stress, which is essential in designing springs that can withstand fluctuating loads, ensuring the spring's reliability and performance. 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 (σ_m), Diameter of Spring Wire (d), Shear Stress Correction Factor of Spring (K_s) & Mean Spring Force (P_m) 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*0.004004738^3)/(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 formula is defined as a measure of the diameter of a spring coil under a given mean stress, which is essential in designing springs that can withstand fluctuating loads, ensuring the spring's reliability and performance and is represented as D = (σ_m*(pi*d^3)/(8*K_s*P_m)) 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 formula is defined as a measure of the diameter of a spring coil under a given mean stress, which is essential in designing springs that can withstand fluctuating loads, ensuring the spring's reliability and performance 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 (σ_m), Diameter of Spring Wire (d), Shear Stress Correction Factor of Spring (K_s) & Mean Spring Force (P_m). 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)

Home

FREE PDFs

🔍 Search