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Soderberg Line Amplitude Stress Formula

GoGoodman Line Amplitude Stress Formula

GoPermissible Stress Amplitude for Fluctuating Load Formula

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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. Check FAQs

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

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

Soderberg Line Amplitude Stress Example

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Here is how the Soderberg Line Amplitude Stress equation looks like with Values.

Here is how the Soderberg Line Amplitude Stress equation looks like with Units.

Here is how the Soderberg Line Amplitude Stress equation looks like.

30 = 33.8462 \cdot (1 - \frac{50}{440.0004})

30N/mm² = 33.8462N/mm² \cdot (1 - \frac{50N/mm²}{440.0004N/mm²})

30 = 33.8462 \cdot (1 - \frac{50}{440.0004})

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Soderberg Line Amplitude Stress Solution

Follow our step by step solution on how to calculate Soderberg Line Amplitude Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ a = 33.8462N/mm² \cdot (1 - \frac{50N/mm²}{440.0004N/mm²})

Next Step Convert Units

∴

σ a = 3.4E+7Pa \cdot (1 - \frac{5E+7Pa}{4.4E+8Pa})

Next Step Prepare to Evaluate

∴

σ a = 3.4E+7 \cdot (1 - \frac{5E+7}{4.4E+8})

Next Step Evaluate

∴

σ a = 30000000.087409Pa

Next Step Convert to Output's Unit

∴

σ a = 30.000000087409N/mm²

LAST Step Rounding Answer

∴

σ a = 30N/mm²

Soderberg Line Amplitude Stress Formula Elements

Variables

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

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

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 Stress Amplitude for Fluctuating Load

Go Goodman Line Amplitude Stress

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

Go Permissible Stress Amplitude for Fluctuating Load

σ a = \frac{S a}{f s}

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 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}}

Go Goodman Line Mean Stress

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

How to Evaluate Soderberg Line Amplitude Stress?

Soderberg Line Amplitude Stress evaluator uses Stress Amplitude for Fluctuating Load = Endurance Limit*(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load) to evaluate the Stress Amplitude for Fluctuating Load, Soderberg Line Amplitude Stress formula is defined as the amount of alternating stress acting on a material when the material is subjected to fluctuating stress or under fatigue loading and this value is obtained using the Soderberg line diagram. Stress Amplitude for Fluctuating Load is denoted by σ_a symbol.

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

FAQs on Soderberg Line Amplitude Stress

What is the formula to find Soderberg Line Amplitude Stress?

The formula of Soderberg Line Amplitude Stress is expressed as Stress Amplitude for Fluctuating Load = Endurance Limit*(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load). Here is an example- 3E-5 = 33846150*(1-50000000/440000400).

How to calculate Soderberg Line Amplitude Stress?

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

What are the other ways to Calculate Stress Amplitude for Fluctuating Load?

Here are the different ways to Calculate Stress Amplitude for Fluctuating Load-

Stress Amplitude for Fluctuating Load=Endurance Limit*(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength)
Stress Amplitude for Fluctuating Load=Limiting Value of Stress Amplitude/Design Factor of Safety

Can the Soderberg Line Amplitude Stress be negative?

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

Which unit is used to measure Soderberg Line Amplitude Stress?

Soderberg Line Amplitude Stress 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 Amplitude Stress can be measured.

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Soderberg Line Amplitude Stress Formula

​GoGoodman Line Amplitude Stress Formula

​GoPermissible Stress Amplitude for Fluctuating Load Formula

Soderberg Line Amplitude Stress Example

Soderberg Line Amplitude Stress Solution

Soderberg Line Amplitude Stress Formula Elements

Other Formulas to find Stress Amplitude for Fluctuating Load

Other formulas in Soderberg and Goodman Lines category

How to Evaluate Soderberg Line Amplitude Stress?

FAQs on Soderberg Line Amplitude Stress

Variable Name

GoGoodman Line Amplitude Stress Formula

GoPermissible Stress Amplitude for Fluctuating Load Formula