Stress Concentration Factor at Outer Fibers of Coils Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stress Concentration Factor at Outer Fibres = (4*Spring Index of Coil Spring^2+Spring Index of Coil Spring-1)/(4*Spring Index of Coil Spring*(Spring Index of Coil Spring+1))
Ko = (4*C^2+C-1)/(4*C*(C+1))
This formula uses 2 Variables
Variables Used
Stress Concentration Factor at Outer Fibres - Stress Concentration Factor at Outer Fibres is simply a measure of the degree to which external stress is amplified at the tip of a crack.
Spring Index of Coil Spring - Spring index of coil spring is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.
STEP 1: Convert Input(s) to Base Unit
Spring Index of Coil Spring: 5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ko = (4*C^2+C-1)/(4*C*(C+1)) --> (4*5^2+5-1)/(4*5*(5+1))
Evaluating ... ...
Ko = 0.866666666666667
STEP 3: Convert Result to Output's Unit
0.866666666666667 --> No Conversion Required
FINAL ANSWER
0.866666666666667 0.866667 <-- Stress Concentration Factor at Outer Fibres
(Calculation completed in 00.004 seconds)

Credits

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Created by Vivek Gaikwad
AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune
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Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
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Torsion of Coil Spring Calculators

Wire Diameter of Inner Spring given Wire Diameter of Outer Spring and Spring Index
​ LaTeX ​ Go Wire Diameter of Inner Spring = (Spring Index of Coil Spring/(Spring Index of Coil Spring-2))*Wire Diameter of Outer Spring
Total Axial Gap between Coils of Spring
​ LaTeX ​ Go Total Axial Gap between Coils of Springs = (Total Number of Coils-1)*Axial Gap between Adjacent Coils Bearing Max Load
Compressed Length of Coil Spring
​ LaTeX ​ Go Compressed Length of Spring = Solid Length of Spring+Total Axial Gap between Coils of Springs
Pitch of Coil Spring
​ LaTeX ​ Go Pitch of Coil Spring = Free Length of Spring/(Total Number of Coils-1)

Stress Concentration Factor at Outer Fibers of Coils Formula

​LaTeX ​Go
Stress Concentration Factor at Outer Fibres = (4*Spring Index of Coil Spring^2+Spring Index of Coil Spring-1)/(4*Spring Index of Coil Spring*(Spring Index of Coil Spring+1))
Ko = (4*C^2+C-1)/(4*C*(C+1))

What is stress concentration factor?

It is a dimensionless factor that is used to quantify how concentrated the stress is in a mechanical part.

How to Calculate Stress Concentration Factor at Outer Fibers of Coils?

Stress Concentration Factor at Outer Fibers of Coils calculator uses Stress Concentration Factor at Outer Fibres = (4*Spring Index of Coil Spring^2+Spring Index of Coil Spring-1)/(4*Spring Index of Coil Spring*(Spring Index of Coil Spring+1)) to calculate the Stress Concentration Factor at Outer Fibres, The stress concentration factor at outer fibers of coils is simply a measure of the degree to which external stress is amplified at the tip of a crack. Stress Concentration Factor at Outer Fibres is denoted by Ko symbol.

How to calculate Stress Concentration Factor at Outer Fibers of Coils using this online calculator? To use this online calculator for Stress Concentration Factor at Outer Fibers of Coils, enter Spring Index of Coil Spring (C) and hit the calculate button. Here is how the Stress Concentration Factor at Outer Fibers of Coils calculation can be explained with given input values -> 0.866667 = (4*5^2+5-1)/(4*5*(5+1)).

FAQ

What is Stress Concentration Factor at Outer Fibers of Coils?
The stress concentration factor at outer fibers of coils is simply a measure of the degree to which external stress is amplified at the tip of a crack and is represented as Ko = (4*C^2+C-1)/(4*C*(C+1)) or Stress Concentration Factor at Outer Fibres = (4*Spring Index of Coil Spring^2+Spring Index of Coil Spring-1)/(4*Spring Index of Coil Spring*(Spring Index of Coil Spring+1)). Spring index of coil spring is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.
How to calculate Stress Concentration Factor at Outer Fibers of Coils?
The stress concentration factor at outer fibers of coils is simply a measure of the degree to which external stress is amplified at the tip of a crack is calculated using Stress Concentration Factor at Outer Fibres = (4*Spring Index of Coil Spring^2+Spring Index of Coil Spring-1)/(4*Spring Index of Coil Spring*(Spring Index of Coil Spring+1)). To calculate Stress Concentration Factor at Outer Fibers of Coils, you need Spring Index of Coil Spring (C). With our tool, you need to enter the respective value for Spring Index of Coil Spring 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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