Fatigue Stress Concentration Factor Calculator

✖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.ⓘ Endurance Limit of Notch Free Specimen [Se_nf]			+10% -10%
✖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.ⓘ Endurance Limit of Notched Specimen [Se_n]			+10% -10%

✖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.ⓘ Fatigue Stress Concentration Factor [k_f]

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Formula

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Fatigue Stress Concentration Factor

Formula

`"k"_{"f"} = "Se"_{"nf"}/"Se"_{"n"}`

Example

`"2.277778"="205N/mm²"/"90N/mm²"`

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Fatigue Stress Concentration Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fatigue Stress Concentration Factor = Endurance Limit of Notch Free Specimen/Endurance Limit of Notched Specimen
k_f = Se_nf/Se_n
This formula uses 3 Variables

Variables Used

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.
Endurance Limit of Notch Free Specimen - (Measured in Pascal) - 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.
Endurance Limit of Notched Specimen - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Endurance Limit of Notch Free Specimen: 205 Newton per Square Millimeter --> 205000000 Pascal (Check conversion here)
Endurance Limit of Notched Specimen: 90 Newton per Square Millimeter --> 90000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_f = Se_nf/Se_n --> 205000000/90000000

Evaluating ... ...

k_f = 2.27777777777778

STEP 3: Convert Result to Output's Unit

2.27777777777778 --> No Conversion Required

FINAL ANSWER

2.27777777777778 ≈ 2.277778 <-- Fatigue Stress Concentration Factor

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design against Fluctuating Load » Notch Sensitivity for Fluctuating Loads » Fatigue Stress Concentration Factor

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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< 5 Notch Sensitivity for Fluctuating Loads Calculators

Notch Sensitivity Factor

Go Notch Sensitivity Factor = Increase of Actual Stress over Nominal Stress/Increase of Theoretical Stress over Nominal Stress

Fatigue Stress Concentration Factor

Go Fatigue Stress Concentration Factor = Endurance Limit of Notch Free Specimen/Endurance Limit of Notched Specimen

Notch Sensitivity Factor given Fatigue Stress Concentration Factor

Go Notch Sensitivity Factor = (Fatigue Stress Concentration Factor-1)/(Theoretical Stress Concentration Factor-1)

Fatigue Stress Concentration Factor given Notch Sensitivity Factor

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

Theoretical Stress for Fluctuating Load

Go Theoretical Stress = Nominal Stress*Theoretical Stress Concentration Factor

Fatigue Stress Concentration Factor Formula

Fatigue Stress Concentration Factor = Endurance Limit of Notch Free Specimen/Endurance Limit of Notched Specimen
k_f = Se_nf/Se_n

What is endurance limit?

The fatigue or endurance limit of a material is defined as the maximum amplitude of completely reversed stress that the standard specimen can sustain for an unlimited number of cycles without fatigue failure.

How to Calculate Fatigue Stress Concentration Factor?

Fatigue Stress Concentration Factor calculator uses Fatigue Stress Concentration Factor = Endurance Limit of Notch Free Specimen/Endurance Limit of Notched Specimen to calculate 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 calculate Fatigue Stress Concentration Factor using this online calculator? To use this online calculator 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. Here is how the Fatigue Stress Concentration Factor calculation can be explained with given input values -> 2.277778 = 205000000/90000000.

FAQ

What is 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 and is represented as k_f = Se_nf/Se_n or Fatigue Stress Concentration Factor = Endurance Limit of Notch Free Specimen/Endurance Limit of Notched 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 & 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.

How to calculate 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 is calculated using Fatigue Stress Concentration Factor = Endurance Limit of Notch Free Specimen/Endurance Limit of Notched Specimen. To calculate Fatigue Stress Concentration Factor, you need Endurance Limit of Notch Free Specimen (Se_nf) & Endurance Limit of Notched Specimen (Se_n). With our tool, you need to enter the respective value for Endurance Limit of Notch Free Specimen & Endurance Limit of Notched Specimen 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 Fatigue Stress Concentration Factor?

In this formula, Fatigue Stress Concentration Factor uses Endurance Limit of Notch Free Specimen & Endurance Limit of Notched Specimen. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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