Modifying Factor to Account for Stress Concentration Calculator

✖The Endurance Limit of a material is defined as the stress below which a material can endure an infinite number of repeated load cycles without exhibiting failure.ⓘ Endurance Limit [S_e]			+10% -10%
✖Endurance Limit of Rotating Beam Specimen is the maximum value of the completely reversed stress for which the specimen can sustain for an infinite number of cycles without any fatigue failure.ⓘ Endurance Limit of Rotating Beam Specimen [S'_e]			+10% -10%
✖The Surface Finish Factor takes into account the reduction in endurance limit due to variation in the surface finish between the specimen and the actual component.ⓘ Surface Finish Factor [K_a]			+10% -10%
✖The Size Factor takes into account the reduction in endurance limit due to an increase in the size of the component.ⓘ Size Factor [K_b]			+10% -10%
✖Reliabilty Factor accounts for the reliability that is used in the design of the component.ⓘ Reliabilty Factor [K_c]			+10% -10%

✖The Modifying Factor for Stress Concentration accounts for the effect of stress concentration on a specimen for cyclic loading.ⓘ Modifying Factor to Account for Stress Concentration [K_d]

⎘ Copy

👎

Formula

✖

Modifying Factor to Account for Stress Concentration

Formula

`"K"_{"d"} = "S"_{"e"}/("S'"_{"e"}*"K"_{"a"}*"K"_{"b"}*"K"_{"c"})`

Example

`"0.333082"="51N/mm²"/("220N/mm²"*"0.92"*"0.85"*"0.89")`

Calculator

LaTeX

Reset

👍

Download Mechanical Formula PDF

Modifying Factor to Account for Stress Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modifying Factor for Stress Concentration = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Surface Finish Factor*Size Factor*Reliabilty Factor)
K_d = S_e/(S'_e*K_a*K_b*K_c)
This formula uses 6 Variables

Variables Used

Modifying Factor for Stress Concentration - The Modifying Factor for Stress Concentration accounts for the effect of stress concentration on a specimen for cyclic loading.
Endurance Limit - (Measured in Pascal) - The Endurance Limit of a material is defined as the stress below which a material can endure an infinite number of repeated load cycles without exhibiting failure.
Endurance Limit of Rotating Beam Specimen - (Measured in Pascal) - Endurance Limit of Rotating Beam Specimen is the maximum value of the completely reversed stress for which the specimen can sustain for an infinite number of cycles without any fatigue failure.
Surface Finish Factor - The Surface Finish Factor takes into account the reduction in endurance limit due to variation in the surface finish between the specimen and the actual component.
Size Factor - The Size Factor takes into account the reduction in endurance limit due to an increase in the size of the component.
Reliabilty Factor - Reliabilty Factor accounts for the reliability that is used in the design of the component.

STEP 1: Convert Input(s) to Base Unit

Endurance Limit: 51 Newton per Square Millimeter --> 51000000 Pascal (Check conversion here)
Endurance Limit of Rotating Beam Specimen: 220 Newton per Square Millimeter --> 220000000 Pascal (Check conversion here)
Surface Finish Factor: 0.92 --> No Conversion Required
Size Factor: 0.85 --> No Conversion Required
Reliabilty Factor: 0.89 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_d = S_e/(S'_e*K_a*K_b*K_c) --> 51000000/(220000000*0.92*0.85*0.89)

Evaluating ... ...

K_d = 0.333081671625883

STEP 3: Convert Result to Output's Unit

0.333081671625883 --> No Conversion Required

FINAL ANSWER

0.333081671625883 ≈ 0.333082 <-- Modifying Factor for Stress Concentration

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Machine Design » Design against Fluctuating Load » Endurance Limit Approximate Estimation in Design » Modifying Factor to Account for Stress Concentration

Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 15 Endurance Limit Approximate Estimation in Design Calculators

Modifying Factor to Account for Stress Concentration

Go Modifying Factor for Stress Concentration = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Surface Finish Factor*Size Factor*Reliabilty Factor)

Endurance Limit of Rotating Beam Specimen

Go Endurance Limit of Rotating Beam Specimen = Endurance Limit/(Size Factor*Modifying Factor for Stress Concentration*Reliabilty Factor*Surface Finish Factor)

Reliability Factor for Fluctuating Load

Go Reliabilty Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Modifying Factor for Stress Concentration*Surface Finish Factor*Size Factor)

Surface Finish Factor of Specimen

Go Surface Finish Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Size Factor*Reliabilty Factor*Modifying Factor for Stress Concentration)

Size Factor for Fluctuating Load

Go Size Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Modifying Factor for Stress Concentration*Reliabilty Factor*Surface Finish Factor)

Endurance Limit of Specimen

Go Endurance Limit = Surface Finish Factor*Size Factor*Reliabilty Factor*Modifying Factor for Stress Concentration*Endurance Limit of Rotating Beam Specimen

Stress Amplitude for Fluctuating load given Maximum Stress and Minimum Stress

Go Stress Amplitude for Fluctuating Load = (Maximum Stress Value for Fluctuating Load-Minimum Stress Value for Fluctuating Load)/2

Modifying Factor for Fluctuating Load given Fatigue Stress Concentration Factor

Go Modifying Factor for Stress Concentration = 1/Fatigue Stress Concentration Factor

Fatigue Stress Concentration Factor given Modifying Factor

Go Fatigue Stress Concentration Factor = 1/Modifying Factor for Stress Concentration

Endurance Limit Stress of Rotating Beam Specimen of Cast Aluminium Alloys

Go Endurance Limit of Rotating Beam Specimen = 0.3*Ultimate Tensile strength

Endurance Limit Stress of Rotating Beam Specimen of Cast Iron or Steels

Go Endurance Limit of Rotating Beam Specimen = 0.4*Ultimate Tensile strength

Endurance Limit Stress of Rotating Beam Specimen of Aluminium Alloys

Go Endurance Limit of Rotating Beam Specimen = 0.4*Ultimate Tensile strength

Endurance Limit of Rotating Beam Specimen of Steel

Go Endurance Limit of Rotating Beam Specimen = 0.5*Ultimate Tensile strength

Endurance Limit given Endurance Limit for Axial Loading

Go Endurance Limit = Endurance Limit for Axial Loading/0.8

Endurance Limit for Axial Loading

Go Endurance Limit for Axial Loading = 0.8*Endurance Limit

Modifying Factor to Account for Stress Concentration Formula

Modifying Factor for Stress Concentration = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Surface Finish Factor*Size Factor*Reliabilty Factor)
K_d = S_e/(S'_e*K_a*K_b*K_c)

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 Modifying Factor to Account for Stress Concentration?

Modifying Factor to Account for Stress Concentration calculator uses Modifying Factor for Stress Concentration = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Surface Finish Factor*Size Factor*Reliabilty Factor) to calculate the Modifying Factor for Stress Concentration, Modifying Factor to account for Stress Concentration formula is defined as the ratio of endurance limit to the product of endurance limit of the rotating-beam specimen, surface finish factor, size factor, and reliability factor. It accounts for the effect of stress concentration on a specimen for cyclic loading. Modifying Factor for Stress Concentration is denoted by K_d symbol.

How to calculate Modifying Factor to Account for Stress Concentration using this online calculator? To use this online calculator for Modifying Factor to Account for Stress Concentration, enter Endurance Limit (S_e), Endurance Limit of Rotating Beam Specimen (S'_e), Surface Finish Factor (K_a), Size Factor (K_b) & Reliabilty Factor (K_c) and hit the calculate button. Here is how the Modifying Factor to Account for Stress Concentration calculation can be explained with given input values -> 0.348222 = 51000000/(220000000*0.92*0.85*0.89).

FAQ

What is Modifying Factor to Account for Stress Concentration?

Modifying Factor to account for Stress Concentration formula is defined as the ratio of endurance limit to the product of endurance limit of the rotating-beam specimen, surface finish factor, size factor, and reliability factor. It accounts for the effect of stress concentration on a specimen for cyclic loading and is represented as K_d = S_e/(S'_e*K_a*K_b*K_c) or Modifying Factor for Stress Concentration = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Surface Finish Factor*Size Factor*Reliabilty Factor). The Endurance Limit of a material is defined as the stress below which a material can endure an infinite number of repeated load cycles without exhibiting failure, Endurance Limit of Rotating Beam Specimen is the maximum value of the completely reversed stress for which the specimen can sustain for an infinite number of cycles without any fatigue failure, The Surface Finish Factor takes into account the reduction in endurance limit due to variation in the surface finish between the specimen and the actual component, The Size Factor takes into account the reduction in endurance limit due to an increase in the size of the component & Reliabilty Factor accounts for the reliability that is used in the design of the component.

How to calculate Modifying Factor to Account for Stress Concentration?

Modifying Factor to account for Stress Concentration formula is defined as the ratio of endurance limit to the product of endurance limit of the rotating-beam specimen, surface finish factor, size factor, and reliability factor. It accounts for the effect of stress concentration on a specimen for cyclic loading is calculated using Modifying Factor for Stress Concentration = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Surface Finish Factor*Size Factor*Reliabilty Factor). To calculate Modifying Factor to Account for Stress Concentration, you need Endurance Limit (S_e), Endurance Limit of Rotating Beam Specimen (S'_e), Surface Finish Factor (K_a), Size Factor (K_b) & Reliabilty Factor (K_c). With our tool, you need to enter the respective value for Endurance Limit, Endurance Limit of Rotating Beam Specimen, Surface Finish Factor, Size Factor & Reliabilty Factor 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 Modifying Factor for Stress Concentration?

In this formula, Modifying Factor for Stress Concentration uses Endurance Limit, Endurance Limit of Rotating Beam Specimen, Surface Finish Factor, Size Factor & Reliabilty Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Modifying Factor for Stress Concentration = 1/Fatigue Stress Concentration Factor

Home

FREE PDFs

🔍 Search