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Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress Formula

GoSlope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force Formula

GoSlope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment Formula

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Slope of modified Goodman Line is the tan of the inclination of the modified goodman line. Check FAQs

m = \frac{σ a}{σ m}

m - Slope of modified Goodman Line?σ_a - Stress Amplitude for Fluctuating Load?σ_m - Mean Stress for Fluctuating Load?

Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress Example

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Here is how the Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress equation looks like with Values.

Here is how the Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress equation looks like with Units.

Here is how the Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress equation looks like.

0.6 = \frac{30}{50}

0.6 = \frac{30N/mm²}{50N/mm²}

0.6 = \frac{30}{50}

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Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress Solution

Follow our step by step solution on how to calculate Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress?

FIRST Step Consider the formula

m = \frac{σ a}{σ m}

Next Step Substitute values of Variables

∴

m = \frac{30N/mm²}{50N/mm²}

Next Step Convert Units

∴

m = \frac{3E+7Pa}{5E+7Pa}

Next Step Prepare to Evaluate

∴

m = \frac{3E+7}{5E+7}

LAST Step Evaluate

∴

m = 0.6

Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress Formula Elements

Variables

Slope of modified Goodman Line

Slope of modified Goodman Line is the tan of the inclination of the modified goodman line.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Slope of modified Goodman Line

Stress Amplitude for Fluctuating Load

Stress amplitude for fluctuating load is defined as the amount of stress deviation from the mean stress and is also called the alternating component of stress in fluctuating loads.

Symbol: σ_a

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Stress Amplitude for Fluctuating Load

Mean Stress for Fluctuating Load

Mean Stress for Fluctuating Load is defined as the amount of mean stress acting when a material or component is subjected to fluctuating stress.

Symbol: σ_m

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Mean Stress for Fluctuating Load

Other Formulas to find Slope of modified Goodman Line

Go Slope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force

m = \frac{P a}{P m}

Go Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment

m = \frac{M ba}{M bm}

Other formulas in Soderberg and Goodman Lines category

Go Soderberg Line Mean stress

σ m = σ yt \cdot (1 - \frac{σ a}{S e})

Go Soderberg Line Amplitude Stress

σ a = S e \cdot (1 - \frac{σ m}{σ yt})

Go Soderberg Line Tensile Yield Strength

σ yt = \frac{σ m}{1 - \frac{σ a}{S e}}

Go Soderberg Line Endurance Limit

S e = \frac{σ a}{1 - \frac{σ m}{σ yt}}

How to Evaluate Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress?

Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress evaluator uses Slope of modified Goodman Line = Stress Amplitude for Fluctuating Load/Mean Stress for Fluctuating Load to evaluate the Slope of modified Goodman Line, Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress is defined as the ratio of stress amplitude to mean stress. Slope of modified Goodman Line is denoted by m symbol.

How to evaluate Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress using this online evaluator? To use this online evaluator for Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress, enter Stress Amplitude for Fluctuating Load (σ_a) & Mean Stress for Fluctuating Load (σ_m) and hit the calculate button.

FAQs on Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress

What is the formula to find Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress?

The formula of Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress is expressed as Slope of modified Goodman Line = Stress Amplitude for Fluctuating Load/Mean Stress for Fluctuating Load. Here is an example- 0.6 = 30000000/50000000.

How to calculate Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress?

With Stress Amplitude for Fluctuating Load (σ_a) & Mean Stress for Fluctuating Load (σ_m) we can find Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress using the formula - Slope of modified Goodman Line = Stress Amplitude for Fluctuating Load/Mean Stress for Fluctuating Load.

What are the other ways to Calculate Slope of modified Goodman Line?

Here are the different ways to Calculate Slope of modified Goodman Line-

Slope of modified Goodman Line=Force Amplitude for Fluctuating Stress/Mean Force for Fluctuating Stress
Slope of modified Goodman Line=Bending Moment Amplitude/Mean Bending Moment

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Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress Formula

​GoSlope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force Formula

​GoSlope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment Formula

Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress Example

Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress Solution

Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress Formula Elements

Other Formulas to find Slope of modified Goodman Line

Other formulas in Soderberg and Goodman Lines category

How to Evaluate Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress?

FAQs on Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress

Variable Name

GoSlope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force Formula

GoSlope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment Formula