Stress Concentration Factor at Outer Fibers of Coils Calculator

✖Spring index of coil spring is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.ⓘ Spring Index of Coil Spring [C]

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✖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.ⓘ Stress Concentration Factor at Outer Fibers of Coils [K_o]

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Formula

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Stress Concentration Factor at Outer Fibers of Coils

Formula

`"K"_{"o"} = (4*"C"^2+"C"-1)/(4*"C"*("C"+1))`

Example

`"0.866667"=(4*("5")^2+"5"-1)/(4*"5"*("5"+1))`

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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))
K_o = (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

K_o = (4*C^2+C-1)/(4*C*(C+1)) --> (4*5^2+5-1)/(4*5*(5+1))

Evaluating ... ...

K_o = 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)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Springs » Torsion of Coil Spring » Stress Concentration Factor at Outer Fibers of Coils

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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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< 11 Torsion of Coil Spring Calculators

Stress Concentration Factor at Inner Fibers of Coil given Spring Index

Go Stress Concentration Factor at Inner Fibers = (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))

Stress Concentration Factor at Outer Fibers of Coils

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))

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring

Go Mean Radius Spring Coil = ((Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Stiffness of Helical Spring*Number of Coils))^(1/3)

Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire

Go Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load)

Spring Index given Wire Diameter of Inner and Outer Springs

Go Spring Index of Coil Spring = (2*Wire Diameter of Outer Spring)/(Wire Diameter of Outer Spring-Wire Diameter of Inner Spring)

Wire Diameter of Inner Spring given Wire Diameter of Outer Spring and Spring Index

Go Wire Diameter of Inner Spring = (Spring Index of Coil Spring/(Spring Index of Coil Spring-2))*Wire Diameter of Outer Spring

Wire Diameter of Outer Spring given Wire Diameter of Inner Spring and Spring Index

Go Wire Diameter of Outer Spring = (Spring Index of Coil Spring/(Spring Index of Coil Spring-2))*Wire Diameter of Inner Spring

Total Axial Gap between Coils of Spring

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

Go Compressed Length of Spring = Solid Length of Spring+Total Axial Gap between Coils of Springs

Pitch of Coil Spring

Go Pitch of Coil Spring = Free Length of Spring/(Total Number of Coils-1)

Mean Radius of Spring Coil

Go Mean Radius Spring Coil = Twisting Moments on Shells/Axial Load

Stress Concentration Factor at Outer Fibers of Coils Formula

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 K_o 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 K_o = (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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