Size Factor for Fluctuating Load 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 Modifying Factor for Stress Concentration accounts for the effect of stress concentration on a specimen for cyclic loading.ⓘ Modifying Factor for Stress Concentration [K_d]			+10% -10%
✖Reliabilty Factor accounts for the reliability that is used in the design of the component.ⓘ Reliabilty Factor [K_c]			+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 for Fluctuating Load [K_b]

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Size Factor for Fluctuating Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Size Factor - The Size Factor takes into account the reduction in endurance limit due to an increase in the size 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.
Reliabilty Factor - Reliabilty Factor accounts for the reliability that is used in the design of the component.
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.

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
Reliabilty Factor: 0.89 --> No Conversion Required
Surface Finish Factor: 0.92 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_b = S_e/(S'_e*K_d*K_c*K_a) --> 51000000/(220000000*0.34*0.89*0.92)

Evaluating ... ...

K_b = 0.832704179064707

STEP 3: Convert Result to Output's Unit

0.832704179064707 --> No Conversion Required

FINAL ANSWER

0.832704179064707 ≈ 0.832704 <-- Size Factor

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Tiruchirapalli

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< Endurance Limit Approximate Estimation in Design Calculators

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

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

Size Factor for Fluctuating Load Formula

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

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 Size Factor for Fluctuating Load?

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

How to calculate Size Factor for Fluctuating Load using this online calculator? To use this online calculator for Size Factor for Fluctuating Load, enter Endurance Limit (S_e), Endurance Limit of Rotating Beam Specimen (S'_e), Modifying Factor for Stress Concentration (K_d), Reliabilty Factor (K_c) & Surface Finish Factor (K_a) and hit the calculate button. Here is how the Size Factor for Fluctuating Load calculation can be explained with given input values -> 0.832704 = 51000000/(220000000*0.34*0.89*0.92).

FAQ

What is Size Factor for Fluctuating Load?

Size Factor for Fluctuating load formula is defined as the ratio of endurance limit to the product of endurance limit for rotating beam specimen, surface finish factor, modifying factor for stress concentration, and reliability factor. It takes into account the reduction in endurance limit due to an increase in the size of the component and is represented as K_b = S_e/(S'_e*K_d*K_c*K_a) or Size Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Modifying Factor for Stress Concentration*Reliabilty Factor*Surface Finish 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, Reliabilty Factor accounts for the reliability that is used in the design of the component & 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.

How to calculate Size Factor for Fluctuating Load?

Size Factor for Fluctuating load formula is defined as the ratio of endurance limit to the product of endurance limit for rotating beam specimen, surface finish factor, modifying factor for stress concentration, and reliability factor. It takes into account the reduction in endurance limit due to an increase in the size of the component is calculated using Size Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Modifying Factor for Stress Concentration*Reliabilty Factor*Surface Finish Factor). To calculate Size Factor for Fluctuating Load, you need Endurance Limit (S_e), Endurance Limit of Rotating Beam Specimen (S'_e), Modifying Factor for Stress Concentration (K_d), Reliabilty Factor (K_c) & Surface Finish Factor (K_a). With our tool, you need to enter the respective value for Endurance Limit, Endurance Limit of Rotating Beam Specimen, Modifying Factor for Stress Concentration, Reliabilty Factor & Surface Finish 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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