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Size Factor for Fluctuating Load Formula

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The Size Factor takes into account the reduction in endurance limit due to an increase in the size of the component. Check FAQs

K b = \frac{S e}{S' e \cdot K d \cdot K c \cdot K a}

K_b - Size Factor?S_e - Endurance Limit?S'_e - Endurance Limit of Rotating Beam Specimen?K_d - Modifying Factor for Stress Concentration?K_c - Reliabilty Factor?K_a - Surface Finish Factor?

Size Factor for Fluctuating Load Example

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Here is how the Size Factor for Fluctuating Load equation looks like with Values.

Here is how the Size Factor for Fluctuating Load equation looks like with Units.

Here is how the Size Factor for Fluctuating Load equation looks like.

0.8327 = \frac{51}{220 \cdot 0.34 \cdot 0.89 \cdot 0.92}

0.8327 = \frac{51N/mm²}{220N/mm² \cdot 0.34 \cdot 0.89 \cdot 0.92}

0.8327 = \frac{51}{220 \cdot 0.34 \cdot 0.89 \cdot 0.92}

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Size Factor for Fluctuating Load Solution

Follow our step by step solution on how to calculate Size Factor for Fluctuating Load?

FIRST Step Consider the formula

K b = \frac{S e}{S' e \cdot K d \cdot K c \cdot K a}

Next Step Substitute values of Variables

∴

K b = \frac{51N/mm²}{220N/mm² \cdot 0.34 \cdot 0.89 \cdot 0.92}

Next Step Convert Units

∴

K b = \frac{5.1E+7Pa}{2.2E+8Pa \cdot 0.34 \cdot 0.89 \cdot 0.92}

Next Step Prepare to Evaluate

∴

K b = \frac{5.1E+7}{2.2E+8 \cdot 0.34 \cdot 0.89 \cdot 0.92}

Next Step Evaluate

∴

K b = 0.832704179064707

LAST Step Rounding Answer

∴

K b = 0.8327

Size Factor for Fluctuating Load Formula Elements

Variables

Size Factor

The Size Factor takes into account the reduction in endurance limit due to an increase in the size of the component.

Symbol: K_b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Size Factor

Endurance Limit

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.

Symbol: S_e

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Endurance Limit

Endurance Limit of Rotating Beam Specimen

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.

Symbol: S'_e

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Endurance Limit of Rotating Beam Specimen

Modifying Factor for Stress Concentration

The Modifying Factor for Stress Concentration accounts for the effect of stress concentration on a specimen for cyclic loading.

Symbol: K_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Modifying Factor for Stress Concentration

Reliabilty Factor

Reliabilty Factor accounts for the reliability that is used in the design of the component.

Symbol: K_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reliabilty Factor

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.

Symbol: K_a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Surface Finish Factor

Other formulas in Endurance Limit Approximate Estimation in Design category

Go Stress Amplitude for Fluctuating load given Maximum Stress and Minimum Stress

σ a = \frac{σ max fl - σ min fl}{2}

Go Endurance Limit of Rotating Beam Specimen of Steel

S' e = 0.5 \cdot σ ut

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

S' e = 0.4 \cdot σ ut

Go Endurance Limit Stress of Rotating Beam Specimen of Aluminium Alloys

S' e = 0.4 \cdot σ ut

How to Evaluate Size Factor for Fluctuating Load?

Size Factor for Fluctuating Load evaluator uses Size Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Modifying Factor for Stress Concentration*Reliabilty Factor*Surface Finish Factor) to evaluate 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 evaluate Size Factor for Fluctuating Load using this online evaluator? To use this online evaluator 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.

FAQs on Size Factor for Fluctuating Load

What is the formula to find Size Factor for Fluctuating Load?

The formula of Size Factor for Fluctuating Load is expressed as Size Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Modifying Factor for Stress Concentration*Reliabilty Factor*Surface Finish Factor). Here is an example- 0.870554 = 51000000/(220000000*0.34*0.89*0.92).

How to calculate Size Factor for Fluctuating Load?

With 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) we can find Size Factor for Fluctuating Load using the formula - Size Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Modifying Factor for Stress Concentration*Reliabilty Factor*Surface Finish Factor).

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Size Factor for Fluctuating Load Formula

Size Factor for Fluctuating Load Example

Size Factor for Fluctuating Load Solution

Size Factor for Fluctuating Load Formula Elements

Other formulas in Endurance Limit Approximate Estimation in Design category

How to Evaluate Size Factor for Fluctuating Load?

FAQs on Size Factor for Fluctuating Load

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