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Goodman Line Endurance Limit Formula

GoSoderberg Line Endurance Limit Formula

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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. Check FAQs

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

S_e - Endurance Limit?σ_a - Stress Amplitude for Fluctuating Load?σ_m - Mean Stress for Fluctuating Load?σ_ut - Ultimate Tensile strength?

Goodman Line Endurance Limit Example

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Here is how the Goodman Line Endurance Limit equation looks like with Values.

Here is how the Goodman Line Endurance Limit equation looks like with Units.

Here is how the Goodman Line Endurance Limit equation looks like.

33.8462 = \frac{30}{1 - \frac{50}{440}}

33.8462N/mm² = \frac{30N/mm²}{1 - \frac{50N/mm²}{440N/mm²}}

33.8462 = \frac{30}{1 - \frac{50}{440}}

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Goodman Line Endurance Limit Solution

Follow our step by step solution on how to calculate Goodman Line Endurance Limit?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S e = \frac{30N/mm²}{1 - \frac{50N/mm²}{440N/mm²}}

Next Step Convert Units

∴

S e = \frac{3E+7Pa}{1 - \frac{5E+7Pa}{4.4E+8Pa}}

Next Step Prepare to Evaluate

∴

S e = \frac{3E+7}{1 - \frac{5E+7}{4.4E+8}}

Next Step Evaluate

∴

S e = 33846153.8461538Pa

Next Step Convert to Output's Unit

∴

S e = 33.8461538461538N/mm²

LAST Step Rounding Answer

∴

S e = 33.8462N/mm²

Goodman Line Endurance Limit Formula Elements

Variables

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

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

Ultimate Tensile strength

Ultimate Tensile Strength (UTS) is the maximum stress that a material can withstand while being stretched or pulled.

Symbol: σ_ut

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Ultimate Tensile strength

Other Formulas to find Endurance Limit

Go Soderberg Line Endurance Limit

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

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 Goodman Line Mean Stress

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

How to Evaluate Goodman Line Endurance Limit?

Goodman Line Endurance Limit evaluator uses Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength) to evaluate the Endurance Limit, Goodman Line Endurance Limit is defined as the endurance limit (stress below which a material can endure an infinite number of repeated load cycles without exhibiting failure) of the specimen calculated from the Goodman line diagram. Endurance Limit is denoted by S_e symbol.

How to evaluate Goodman Line Endurance Limit using this online evaluator? To use this online evaluator for Goodman Line Endurance Limit, enter Stress Amplitude for Fluctuating Load (σ_a), Mean Stress for Fluctuating Load (σ_m) & Ultimate Tensile strength (σ_ut) and hit the calculate button.

FAQs on Goodman Line Endurance Limit

What is the formula to find Goodman Line Endurance Limit?

The formula of Goodman Line Endurance Limit is expressed as Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength). Here is an example- 3.4E-5 = 30000000/(1-50000000/440000000).

How to calculate Goodman Line Endurance Limit?

With Stress Amplitude for Fluctuating Load (σ_a), Mean Stress for Fluctuating Load (σ_m) & Ultimate Tensile strength (σ_ut) we can find Goodman Line Endurance Limit using the formula - Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength).

What are the other ways to Calculate Endurance Limit?

Here are the different ways to Calculate Endurance Limit-

Endurance Limit=Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load)

Can the Goodman Line Endurance Limit be negative?

No, the Goodman Line Endurance Limit, measured in Stress cannot be negative.

Which unit is used to measure Goodman Line Endurance Limit?

Goodman Line Endurance Limit is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Goodman Line Endurance Limit can be measured.

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Goodman Line Endurance Limit Formula

​GoSoderberg Line Endurance Limit Formula

Goodman Line Endurance Limit Example

Goodman Line Endurance Limit Solution

Goodman Line Endurance Limit Formula Elements

Other Formulas to find Endurance Limit

Other formulas in Soderberg and Goodman Lines category

How to Evaluate Goodman Line Endurance Limit?

FAQs on Goodman Line Endurance Limit

Variable Name

GoSoderberg Line Endurance Limit Formula