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Surface Finish Factor of Specimen Formula

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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. Check FAQs

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

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

Surface Finish Factor of Specimen Example

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Here is how the Surface Finish Factor of Specimen equation looks like with Values.

Here is how the Surface Finish Factor of Specimen equation looks like with Units.

Here is how the Surface Finish Factor of Specimen equation looks like.

0.92 = \frac{52.0593}{220 \cdot 0.85 \cdot 0.89 \cdot 0.34}

0.92 = \frac{52.0593N/mm²}{220N/mm² \cdot 0.85 \cdot 0.89 \cdot 0.34}

0.92 = \frac{52.0593}{220 \cdot 0.85 \cdot 0.89 \cdot 0.34}

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Surface Finish Factor of Specimen Solution

Follow our step by step solution on how to calculate Surface Finish Factor of Specimen?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K a = \frac{52.0593N/mm²}{220N/mm² \cdot 0.85 \cdot 0.89 \cdot 0.34}

Next Step Convert Units

∴

K a = \frac{5.2E+7Pa}{2.2E+8Pa \cdot 0.85 \cdot 0.89 \cdot 0.34}

Next Step Prepare to Evaluate

∴

K a = \frac{5.2E+7}{2.2E+8 \cdot 0.85 \cdot 0.89 \cdot 0.34}

Next Step Evaluate

∴

K a = 0.919999929311387

LAST Step Rounding Answer

∴

K a = 0.92

Surface Finish Factor of Specimen Formula Elements

Variables

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

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

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

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

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

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 Surface Finish Factor of Specimen?

Surface Finish Factor of Specimen evaluator uses Surface Finish Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Size Factor*Reliabilty Factor*Modifying Factor for Stress Concentration) to evaluate the Surface Finish Factor, Surface Finish Factor of Specimen formula is defined as a dimensionless value that accounts for the surface roughness of a material specimen, influencing its endurance limit under fluctuating loads. Surface Finish Factor is denoted by K_a symbol.

How to evaluate Surface Finish Factor of Specimen using this online evaluator? To use this online evaluator for Surface Finish Factor of Specimen, enter Endurance Limit (S_e), Endurance Limit of Rotating Beam Specimen (S'_e), Size Factor (K_b), Reliabilty Factor (K_c) & Modifying Factor for Stress Concentration (K_d) and hit the calculate button.

FAQs on Surface Finish Factor of Specimen

What is the formula to find Surface Finish Factor of Specimen?

The formula of Surface Finish Factor of Specimen is expressed as Surface Finish Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Size Factor*Reliabilty Factor*Modifying Factor for Stress Concentration). Here is an example- 0.90128 = 52059300/(220000000*0.85*0.89*0.34).

How to calculate Surface Finish Factor of Specimen?

With Endurance Limit (S_e), Endurance Limit of Rotating Beam Specimen (S'_e), Size Factor (K_b), Reliabilty Factor (K_c) & Modifying Factor for Stress Concentration (K_d) we can find Surface Finish Factor of Specimen using the formula - Surface Finish Factor = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Size Factor*Reliabilty Factor*Modifying Factor for Stress Concentration).

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Surface Finish Factor of Specimen Formula

Surface Finish Factor of Specimen Example

Surface Finish Factor of Specimen Solution

Surface Finish Factor of Specimen Formula Elements

Other formulas in Endurance Limit Approximate Estimation in Design category

How to Evaluate Surface Finish Factor of Specimen?

FAQs on Surface Finish Factor of Specimen

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