Endurance Limit of Specimen Solution

STEP 0: Pre-Calculation Summary
Formula Used
Endurance Limit = Surface Finish Factor*Size Factor*Reliabilty Factor*Modifying Factor for Stress Concentration*Endurance Limit of Rotating Beam Specimen
Se = Ka*Kb*Kc*Kd*S'e
This formula uses 6 Variables
Variables Used
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.
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.
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 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.
STEP 1: Convert Input(s) to Base Unit
Surface Finish Factor: 0.92 --> No Conversion Required
Size Factor: 0.85 --> No Conversion Required
Reliabilty Factor: 0.89 --> No Conversion Required
Modifying Factor for Stress Concentration: 0.34 --> No Conversion Required
Endurance Limit of Rotating Beam Specimen: 220 Newton per Square Millimeter --> 220000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Se = Ka*Kb*Kc*Kd*S'e --> 0.92*0.85*0.89*0.34*220000000
Evaluating ... ...
Se = 52059304
STEP 3: Convert Result to Output's Unit
52059304 Pascal -->52.059304 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
52.059304 52.0593 Newton per Square Millimeter <-- Endurance Limit
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology (NIT), Tiruchirapalli
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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

Endurance Limit of Specimen Formula

Endurance Limit = Surface Finish Factor*Size Factor*Reliabilty Factor*Modifying Factor for Stress Concentration*Endurance Limit of Rotating Beam Specimen
Se = Ka*Kb*Kc*Kd*S'e

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 Endurance Limit of Specimen?

Endurance Limit of Specimen calculator uses Endurance Limit = Surface Finish Factor*Size Factor*Reliabilty Factor*Modifying Factor for Stress Concentration*Endurance Limit of Rotating Beam Specimen to calculate the Endurance Limit, Endurance Limit of Specimen formula is defined as the product of the surface finish factor, size factor, reliability factor, and endurance limit of the rotating-beam specimen. It is the stress below which a material can endure an infinite number of repeated load cycles without exhibiting failure. Endurance Limit is denoted by Se symbol.

How to calculate Endurance Limit of Specimen using this online calculator? To use this online calculator for Endurance Limit of Specimen, enter Surface Finish Factor (Ka), Size Factor (Kb), Reliabilty Factor (Kc), Modifying Factor for Stress Concentration (Kd) & Endurance Limit of Rotating Beam Specimen (S'e) and hit the calculate button. Here is how the Endurance Limit of Specimen calculation can be explained with given input values -> 5E-5 = 0.92*0.85*0.89*0.34*220000000.

FAQ

What is Endurance Limit of Specimen?
Endurance Limit of Specimen formula is defined as the product of the surface finish factor, size factor, reliability factor, and endurance limit of the rotating-beam specimen. It is the stress below which a material can endure an infinite number of repeated load cycles without exhibiting failure and is represented as Se = Ka*Kb*Kc*Kd*S'e or Endurance Limit = Surface Finish Factor*Size Factor*Reliabilty Factor*Modifying Factor for Stress Concentration*Endurance Limit of Rotating Beam Specimen. 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, The Modifying Factor for Stress Concentration accounts for the effect of stress concentration on a specimen for cyclic loading & 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.
How to calculate Endurance Limit of Specimen?
Endurance Limit of Specimen formula is defined as the product of the surface finish factor, size factor, reliability factor, and endurance limit of the rotating-beam specimen. It is the stress below which a material can endure an infinite number of repeated load cycles without exhibiting failure is calculated using Endurance Limit = Surface Finish Factor*Size Factor*Reliabilty Factor*Modifying Factor for Stress Concentration*Endurance Limit of Rotating Beam Specimen. To calculate Endurance Limit of Specimen, you need Surface Finish Factor (Ka), Size Factor (Kb), Reliabilty Factor (Kc), Modifying Factor for Stress Concentration (Kd) & Endurance Limit of Rotating Beam Specimen (S'e). With our tool, you need to enter the respective value for Surface Finish Factor, Size Factor, Reliabilty Factor, Modifying Factor for Stress Concentration & Endurance Limit of Rotating Beam 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 Endurance Limit?
In this formula, Endurance Limit uses Surface Finish Factor, Size Factor, Reliabilty Factor, Modifying Factor for Stress Concentration & Endurance Limit of Rotating Beam Specimen. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Endurance Limit = Endurance Limit for Axial Loading/0.8
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