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Stress Concentration Factor at Outer Fibers of Coils Formula

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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. Check FAQs

K o = \frac{4 \cdot C^{2} + C - 1}{4 \cdot C \cdot (C + 1)}

K_o - Stress Concentration Factor at Outer Fibres?C - Spring Index of Coil Spring?

Stress Concentration Factor at Outer Fibers of Coils Example

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Here is how the Stress Concentration Factor at Outer Fibers of Coils equation looks like with Values.

Here is how the Stress Concentration Factor at Outer Fibers of Coils equation looks like with Units.

Here is how the Stress Concentration Factor at Outer Fibers of Coils equation looks like.

0.8667 = \frac{4 \cdot 5^{2} + 5 - 1}{4 \cdot 5 \cdot (5 + 1)}

0.8667 = \frac{4 \cdot 5^{2} + 5 - 1}{4 \cdot 5 \cdot (5 + 1)}

0.8667 = \frac{4 \cdot 5^{2} + 5 - 1}{4 \cdot 5 \cdot (5 + 1)}

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Strength of Materials » fx Stress Concentration Factor at Outer Fibers of Coils

Stress Concentration Factor at Outer Fibers of Coils Solution

Follow our step by step solution on how to calculate Stress Concentration Factor at Outer Fibers of Coils?

FIRST Step Consider the formula

K o = \frac{4 \cdot C^{2} + C - 1}{4 \cdot C \cdot (C + 1)}

Next Step Substitute values of Variables

∴

K o = \frac{4 \cdot 5^{2} + 5 - 1}{4 \cdot 5 \cdot (5 + 1)}

Next Step Prepare to Evaluate

∴

K o = \frac{4 \cdot 5^{2} + 5 - 1}{4 \cdot 5 \cdot (5 + 1)}

Next Step Evaluate

∴

K o = 0.866666666666667

LAST Step Rounding Answer

∴

K o = 0.8667

Stress Concentration Factor at Outer Fibers of Coils Formula Elements

Variables

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.

Symbol: K_o

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Stress Concentration Factor at Outer Fibres

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.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Spring Index of Coil Spring

Other formulas in Torsion of Coil Spring category

Go Compressed Length of Coil Spring

L c = L + G A

Go Total Axial Gap between Coils of Spring

G A = (N t - 1) \cdot G m

Go Pitch of Coil Spring

p = \frac{L f}{N t - 1}

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

d 2 = (\frac{C}{C - 2}) \cdot d 1

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

Stress Concentration Factor at Outer Fibers of Coils evaluator 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 evaluate 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 evaluate Stress Concentration Factor at Outer Fibers of Coils using this online evaluator? To use this online evaluator for Stress Concentration Factor at Outer Fibers of Coils, enter Spring Index of Coil Spring (C) and hit the calculate button.

FAQs on Stress Concentration Factor at Outer Fibers of Coils

What is the formula to find Stress Concentration Factor at Outer Fibers of Coils?

The formula of Stress Concentration Factor at Outer Fibers of Coils is expressed as 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)). Here is an example- 0.866667 = (4*5^2+5-1)/(4*5*(5+1)).

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

With Spring Index of Coil Spring (C) we can find Stress Concentration Factor at Outer Fibers of Coils using the formula - 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)).

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