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Soderberg Line Endurance Limit Formula

GoGoodman 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 yt}}

S_e - Endurance Limit?σ_a - Stress Amplitude for Fluctuating Load?σ_m - Mean Stress for Fluctuating Load?σ_yt - Tensile Yield Strength for Fluctuating load?

Soderberg Line Endurance Limit Example

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

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

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

33.8461 = \frac{30}{1 - \frac{50}{440.0004}}

33.8461N/mm² = \frac{30N/mm²}{1 - \frac{50N/mm²}{440.0004N/mm²}}

33.8461 = \frac{30}{1 - \frac{50}{440.0004}}

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Soderberg Line Endurance Limit Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S e = \frac{30N/mm²}{1 - \frac{50N/mm²}{440.0004N/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 = 33846149.9013847Pa

Next Step Convert to Output's Unit

∴

S e = 33.8461499013847N/mm²

LAST Step Rounding Answer

∴

S e = 33.8461N/mm²

Soderberg 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

Tensile Yield Strength for Fluctuating load

Tensile Yield Strength for Fluctuating load is the stress a material can withstand without permanent deformation or a point at which it will no longer return to its original dimensions.

Symbol: σ_yt

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Yield Strength for Fluctuating load

Other Formulas to find Endurance Limit

Go Goodman Line Endurance Limit

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

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 Soderberg Line Endurance Limit?

Soderberg Line Endurance Limit evaluator uses Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load) to evaluate the Endurance Limit, Soderberg Line Endurance Limit formula 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 Soderberg line diagram. Endurance Limit is denoted by S_e symbol.

How to evaluate Soderberg Line Endurance Limit using this online evaluator? To use this online evaluator for Soderberg Line Endurance Limit, enter Stress Amplitude for Fluctuating Load (σ_a), Mean Stress for Fluctuating Load (σ_m) & Tensile Yield Strength for Fluctuating load (σ_yt) and hit the calculate button.

FAQs on Soderberg Line Endurance Limit

What is the formula to find Soderberg Line Endurance Limit?

The formula of Soderberg Line Endurance Limit is expressed as Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load). Here is an example- 7.3E-5 = 30000000/(1-50000000/440000400).

How to calculate Soderberg Line Endurance Limit?

With Stress Amplitude for Fluctuating Load (σ_a), Mean Stress for Fluctuating Load (σ_m) & Tensile Yield Strength for Fluctuating load (σ_yt) we can find Soderberg Line Endurance Limit using the formula - Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load).

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/Ultimate Tensile strength)

Can the Soderberg Line Endurance Limit be negative?

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

Which unit is used to measure Soderberg Line Endurance Limit?

Soderberg 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 Soderberg Line Endurance Limit can be measured.

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Soderberg Line Endurance Limit Formula

​GoGoodman Line Endurance Limit Formula

Soderberg Line Endurance Limit Example

Soderberg Line Endurance Limit Solution

Soderberg Line Endurance Limit Formula Elements

Other Formulas to find Endurance Limit

Other formulas in Soderberg and Goodman Lines category

How to Evaluate Soderberg Line Endurance Limit?

FAQs on Soderberg Line Endurance Limit

Variable Name

GoGoodman Line Endurance Limit Formula