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Goodman Line Amplitude Stress Formula

GoSoderberg 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 ut})

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

Goodman Line Amplitude Stress Example

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

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

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

30 = 33.8462 \cdot (1 - \frac{50}{440})

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

30 = 33.8462 \cdot (1 - \frac{50}{440})

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Goodman Line Amplitude Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ a = 33.8462N/mm² \cdot (1 - \frac{50N/mm²}{440N/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 = 29999996.5909091Pa

Next Step Convert to Output's Unit

∴

σ a = 29.9999965909091N/mm²

LAST Step Rounding Answer

∴

σ a = 30N/mm²

Goodman 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

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 Stress Amplitude for Fluctuating Load

Go Soderberg Line Amplitude Stress

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

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 Goodman Line Amplitude Stress?

Goodman Line Amplitude Stress evaluator uses Stress Amplitude for Fluctuating Load = Endurance Limit*(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength) to evaluate the Stress Amplitude for Fluctuating Load, Goodman Line Amplitude Stress is defined as the stress amplitude (the maximum or the peak value of the alternating stress) of the specimen calculated from the Goodman line diagram. Stress Amplitude for Fluctuating Load is denoted by σ_a symbol.

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

FAQs on Goodman Line Amplitude Stress

What is the formula to find Goodman Line Amplitude Stress?

The formula of Goodman Line Amplitude Stress is expressed as Stress Amplitude for Fluctuating Load = Endurance Limit*(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength). Here is an example- 4.5E-5 = 33846150*(1-50000000/440000000).

How to calculate Goodman Line Amplitude Stress?

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

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/Tensile Yield Strength for Fluctuating load)
Stress Amplitude for Fluctuating Load=Limiting Value of Stress Amplitude/Design Factor of Safety

Can the Goodman Line Amplitude Stress be negative?

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

Which unit is used to measure Goodman Line Amplitude Stress?

Goodman 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 Goodman Line Amplitude Stress can be measured.

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Goodman Line Amplitude Stress Formula

​GoSoderberg Line Amplitude Stress Formula

​GoPermissible Stress Amplitude for Fluctuating Load Formula

Goodman Line Amplitude Stress Example

Goodman Line Amplitude Stress Solution

Goodman 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 Goodman Line Amplitude Stress?

FAQs on Goodman Line Amplitude Stress

Variable Name

GoSoderberg Line Amplitude Stress Formula

GoPermissible Stress Amplitude for Fluctuating Load Formula