Reliability Factor for Fluctuating Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reliabilty Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Modifying Factor for Stress Concentration*Surface Finish Factor*Size Factor)
Kc = Se/(S'e*Kd*Ka*Kb)
This formula uses 6 Variables
Variables Used
Reliabilty Factor - Reliabilty Factor accounts for the reliability that is used in the design of the component.
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.
Modifying Factor for Stress Concentration - The Modifying Factor for Stress Concentration accounts for the effect of stress concentration on a specimen for cyclic loading.
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.
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)
Modifying Factor for Stress Concentration: 0.34 --> No Conversion Required
Surface Finish Factor: 0.92 --> No Conversion Required
Size Factor: 0.85 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Kc = Se/(S'e*Kd*Ka*Kb) --> 51000000/(220000000*0.34*0.92*0.85)
Evaluating ... ...
Kc = 0.871890258079516
STEP 3: Convert Result to Output's Unit
0.871890258079516 --> No Conversion Required
FINAL ANSWER
0.871890258079516 0.87189 <-- Reliabilty Factor
(Calculation completed in 00.020 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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National Institute Of Technology (NIT), Hamirpur
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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

Reliability Factor for Fluctuating Load Formula

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

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 Reliability Factor for Fluctuating Load?

Reliability Factor for Fluctuating Load calculator uses Reliabilty Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Modifying Factor for Stress Concentration*Surface Finish Factor*Size Factor) to calculate the Reliabilty Factor, Reliability Factor for Fluctuating load formula is defined as the ratio of the product of endurance limit to the product of endurance limit of the rotating-beam specimen, modifying factor for stress concentration, surface finish factor, and size factor. It is the reliability that is used in the design of the component. Reliabilty Factor is denoted by Kc symbol.

How to calculate Reliability Factor for Fluctuating Load using this online calculator? To use this online calculator for Reliability Factor for Fluctuating Load, enter Endurance Limit (Se), Endurance Limit of Rotating Beam Specimen (S'e), Modifying Factor for Stress Concentration (Kd), Surface Finish Factor (Ka) & Size Factor (Kb) and hit the calculate button. Here is how the Reliability Factor for Fluctuating Load calculation can be explained with given input values -> 0.911522 = 51000000/(220000000*0.34*0.92*0.85).

FAQ

What is Reliability Factor for Fluctuating Load?
Reliability Factor for Fluctuating load formula is defined as the ratio of the product of endurance limit to the product of endurance limit of the rotating-beam specimen, modifying factor for stress concentration, surface finish factor, and size factor. It is the reliability that is used in the design of the component and is represented as Kc = Se/(S'e*Kd*Ka*Kb) or Reliabilty Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Modifying Factor for Stress Concentration*Surface Finish Factor*Size 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 Modifying Factor for Stress Concentration accounts for the effect of stress concentration on a specimen for cyclic loading, 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.
How to calculate Reliability Factor for Fluctuating Load?
Reliability Factor for Fluctuating load formula is defined as the ratio of the product of endurance limit to the product of endurance limit of the rotating-beam specimen, modifying factor for stress concentration, surface finish factor, and size factor. It is the reliability that is used in the design of the component is calculated using Reliabilty Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Modifying Factor for Stress Concentration*Surface Finish Factor*Size Factor). To calculate Reliability Factor for Fluctuating Load, you need Endurance Limit (Se), Endurance Limit of Rotating Beam Specimen (S'e), Modifying Factor for Stress Concentration (Kd), Surface Finish Factor (Ka) & Size Factor (Kb). With our tool, you need to enter the respective value for Endurance Limit, Endurance Limit of Rotating Beam Specimen, Modifying Factor for Stress Concentration, Surface Finish Factor & Size Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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