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Modifying Factor to Account for Stress Concentration Formula

GoModifying Factor for Fluctuating Load given Fatigue Stress Concentration Factor Formula

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

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

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

Modifying Factor to Account for Stress Concentration Example

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Here is how the Modifying Factor to Account for Stress Concentration equation looks like with Values.

Here is how the Modifying Factor to Account for Stress Concentration equation looks like with Units.

Here is how the Modifying Factor to Account for Stress Concentration equation looks like.

0.3331 = \frac{51}{220 \cdot 0.92 \cdot 0.85 \cdot 0.89}

0.3331 = \frac{51N/mm²}{220N/mm² \cdot 0.92 \cdot 0.85 \cdot 0.89}

0.3331 = \frac{51}{220 \cdot 0.92 \cdot 0.85 \cdot 0.89}

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Modifying Factor to Account for Stress Concentration Solution

Follow our step by step solution on how to calculate Modifying Factor to Account for Stress Concentration?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K d = \frac{51N/mm²}{220N/mm² \cdot 0.92 \cdot 0.85 \cdot 0.89}

Next Step Convert Units

∴

K d = \frac{5.1E+7Pa}{2.2E+8Pa \cdot 0.92 \cdot 0.85 \cdot 0.89}

Next Step Prepare to Evaluate

∴

K d = \frac{5.1E+7}{2.2E+8 \cdot 0.92 \cdot 0.85 \cdot 0.89}

Next Step Evaluate

∴

K d = 0.333081671625883

LAST Step Rounding Answer

∴

K d = 0.3331

Modifying Factor to Account for Stress Concentration Formula Elements

Variables

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

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

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

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

Other Formulas to find Modifying Factor for Stress Concentration

Go Modifying Factor for Fluctuating Load given Fatigue Stress Concentration Factor

K d = \frac{1}{k f}

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 Modifying Factor to Account for Stress Concentration?

Modifying Factor to Account for Stress Concentration evaluator uses Modifying Factor for Stress Concentration = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Surface Finish Factor*Size Factor*Reliabilty Factor) to evaluate the Modifying Factor for Stress Concentration, Modifying Factor to account for Stress Concentration formula is defined as the ratio of endurance limit to the product of endurance limit of the rotating-beam specimen, surface finish factor, size factor, and reliability factor. It accounts for the effect of stress concentration on a specimen for cyclic loading. Modifying Factor for Stress Concentration is denoted by K_d symbol.

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

FAQs on Modifying Factor to Account for Stress Concentration

What is the formula to find Modifying Factor to Account for Stress Concentration?

The formula of Modifying Factor to Account for Stress Concentration is expressed as Modifying Factor for Stress Concentration = Endurance Limit/(Endurance Limit of Rotating Beam Specimen*Surface Finish Factor*Size Factor*Reliabilty Factor). Here is an example- 0.348222 = 51000000/(220000000*0.92*0.85*0.89).

How to calculate Modifying Factor to Account for Stress Concentration?

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

What are the other ways to Calculate Modifying Factor for Stress Concentration?

Here are the different ways to Calculate Modifying Factor for Stress Concentration-

Modifying Factor for Stress Concentration=1/Fatigue Stress Concentration Factor

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Modifying Factor to Account for Stress Concentration Formula

​GoModifying Factor for Fluctuating Load given Fatigue Stress Concentration Factor Formula

Modifying Factor to Account for Stress Concentration Example

Modifying Factor to Account for Stress Concentration Solution

Modifying Factor to Account for Stress Concentration Formula Elements

Other Formulas to find Modifying Factor for Stress Concentration

Other formulas in Endurance Limit Approximate Estimation in Design category

How to Evaluate Modifying Factor to Account for Stress Concentration?

FAQs on Modifying Factor to Account for Stress Concentration

Variable Name

GoModifying Factor for Fluctuating Load given Fatigue Stress Concentration Factor Formula