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Fatigue Stress Concentration Factor Formula

GoFatigue Stress Concentration Factor given Notch Sensitivity Factor Formula

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The Fatigue Stress Concentration Factor is defined as the ratio of endurance limit of the notch-free specimen to endurance limit of the notched specimen. Check FAQs

k f = \frac{Se nf}{Se n}

k_f - Fatigue Stress Concentration Factor?Se_nf - Endurance Limit of Notch Free Specimen?Se_n - Endurance Limit of Notched Specimen?

Fatigue Stress Concentration Factor Example

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Here is how the Fatigue Stress Concentration Factor equation looks like with Values.

Here is how the Fatigue Stress Concentration Factor equation looks like with Units.

Here is how the Fatigue Stress Concentration Factor equation looks like.

2.2778 = \frac{205}{90}

2.2778 = \frac{205N/mm²}{90N/mm²}

2.2778 = \frac{205}{90}

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Fatigue Stress Concentration Factor Solution

Follow our step by step solution on how to calculate Fatigue Stress Concentration Factor?

FIRST Step Consider the formula

k f = \frac{Se nf}{Se n}

Next Step Substitute values of Variables

∴

k f = \frac{205N/mm²}{90N/mm²}

Next Step Convert Units

∴

k f = \frac{2.1E+8Pa}{9E+7Pa}

Next Step Prepare to Evaluate

∴

k f = \frac{2.1E+8}{9E+7}

Next Step Evaluate

∴

k f = 2.27777777777778

LAST Step Rounding Answer

∴

k f = 2.2778

Fatigue Stress Concentration Factor Formula Elements

Variables

Fatigue Stress Concentration Factor

The Fatigue Stress Concentration Factor is defined as the ratio of endurance limit of the notch-free specimen to endurance limit of the notched specimen.

Symbol: k_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 1.

Formulas to find Fatigue Stress Concentration Factor

Endurance Limit of Notch Free Specimen

Endurance Limit of notch free specimen is defined as the stress below which a notch-free specimen can endure an infinite number of repeated load cycles without exhibiting failure.

Symbol: Se_nf

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Endurance Limit of Notch Free Specimen

Endurance Limit of Notched Specimen

Endurance Limit of notched specimen is defined as the stress below which a notched specimen can endure an infinite number of repeated load cycles without exhibiting failure.

Symbol: Se_n

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Endurance Limit of Notched Specimen

Other Formulas to find Fatigue Stress Concentration Factor

Go Fatigue Stress Concentration Factor given Notch Sensitivity Factor

k f = 1 + q \cdot (k t - 1)

Other formulas in Notch Sensitivity for Fluctuating Loads category

Go Notch Sensitivity Factor

q = \frac{σ an}{σ tn}

Go Theoretical Stress for Fluctuating Load

σ = σ o \cdot k t

Go Notch Sensitivity Factor given Fatigue Stress Concentration Factor

q = \frac{k f - 1}{k t - 1}

How to Evaluate Fatigue Stress Concentration Factor?

Fatigue Stress Concentration Factor evaluator uses Fatigue Stress Concentration Factor = Endurance Limit of Notch Free Specimen/Endurance Limit of Notched Specimen to evaluate the Fatigue Stress Concentration Factor, Fatigue Stress Concentration Factor formula is defined as the ratio of the endurance limit of the notch-free specimen to the endurance limit of the notched specimen. It is the ratio of the endurance limit of the notch-free specimen to the endurance limit of the notched specimen. Fatigue Stress Concentration Factor is denoted by k_f symbol.

How to evaluate Fatigue Stress Concentration Factor using this online evaluator? To use this online evaluator for Fatigue Stress Concentration Factor, enter Endurance Limit of Notch Free Specimen (Se_nf) & Endurance Limit of Notched Specimen (Se_n) and hit the calculate button.

FAQs on Fatigue Stress Concentration Factor

What is the formula to find Fatigue Stress Concentration Factor?

The formula of Fatigue Stress Concentration Factor is expressed as Fatigue Stress Concentration Factor = Endurance Limit of Notch Free Specimen/Endurance Limit of Notched Specimen. Here is an example- 2.277778 = 205000000/90000000.

How to calculate Fatigue Stress Concentration Factor?

With Endurance Limit of Notch Free Specimen (Se_nf) & Endurance Limit of Notched Specimen (Se_n) we can find Fatigue Stress Concentration Factor using the formula - Fatigue Stress Concentration Factor = Endurance Limit of Notch Free Specimen/Endurance Limit of Notched Specimen.

What are the other ways to Calculate Fatigue Stress Concentration Factor?

Here are the different ways to Calculate Fatigue Stress Concentration Factor-

Fatigue Stress Concentration Factor=1+Notch Sensitivity Factor*(Theoretical Stress Concentration Factor-1)

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