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Permissible Stress Amplitude for Fluctuating Load Formula

GoSoderberg Line Amplitude Stress Formula

GoGoodman Line Amplitude Stress 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 = \frac{S a}{f s}

σ_a - Stress Amplitude for Fluctuating Load?S_a - Limiting Value of Stress Amplitude?f_s - Design Factor of Safety?

Permissible Stress Amplitude for Fluctuating Load Example

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Here is how the Permissible Stress Amplitude for Fluctuating Load equation looks like with Values.

Here is how the Permissible Stress Amplitude for Fluctuating Load equation looks like with Units.

Here is how the Permissible Stress Amplitude for Fluctuating Load equation looks like.

30 = \frac{60}{2}

30N/mm² = \frac{60N/mm²}{2}

30 = \frac{60}{2}

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Permissible Stress Amplitude for Fluctuating Load Solution

Follow our step by step solution on how to calculate Permissible Stress Amplitude for Fluctuating Load?

FIRST Step Consider the formula

σ a = \frac{S a}{f s}

Next Step Substitute values of Variables

∴

σ a = \frac{60N/mm²}{2}

Next Step Convert Units

∴

σ a = \frac{6E+7Pa}{2}

Next Step Prepare to Evaluate

∴

σ a = \frac{6E+7}{2}

Next Step Evaluate

∴

σ a = 30000000Pa

LAST Step Convert to Output's Unit

∴

σ a = 30N/mm²

Permissible Stress Amplitude for Fluctuating Load 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

Limiting Value of Stress Amplitude

The Limiting Value of Stress Amplitude is defined as the limit to the value of the amplitude of the stress when the specimen is subjected to fluctuating loads.

Symbol: S_a

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Limiting Value of Stress Amplitude

Design Factor of Safety

Design Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Design Factor of Safety

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 Goodman Line Amplitude Stress

σ a = S e \cdot (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 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 Permissible Stress Amplitude for Fluctuating Load?

Permissible Stress Amplitude for Fluctuating Load evaluator uses Stress Amplitude for Fluctuating Load = Limiting Value of Stress Amplitude/Design Factor of Safety to evaluate the Stress Amplitude for Fluctuating Load, Permissible Stress Amplitude for Fluctuating load formula is defined as the ratio of the limiting value of stress amplitude to the factor of safety. It is the amount of stress deviation from the mean stress and is also called the alternating component of stress in fluctuating loads. Stress Amplitude for Fluctuating Load is denoted by σ_a symbol.

How to evaluate Permissible Stress Amplitude for Fluctuating Load using this online evaluator? To use this online evaluator for Permissible Stress Amplitude for Fluctuating Load, enter Limiting Value of Stress Amplitude (S_a) & Design Factor of Safety (f_s) and hit the calculate button.

FAQs on Permissible Stress Amplitude for Fluctuating Load

What is the formula to find Permissible Stress Amplitude for Fluctuating Load?

The formula of Permissible Stress Amplitude for Fluctuating Load is expressed as Stress Amplitude for Fluctuating Load = Limiting Value of Stress Amplitude/Design Factor of Safety. Here is an example- 5.7E-5 = 60000000/2.

How to calculate Permissible Stress Amplitude for Fluctuating Load?

With Limiting Value of Stress Amplitude (S_a) & Design Factor of Safety (f_s) we can find Permissible Stress Amplitude for Fluctuating Load using the formula - Stress Amplitude for Fluctuating Load = Limiting Value of Stress Amplitude/Design Factor of Safety.

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=Endurance Limit*(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength)

Can the Permissible Stress Amplitude for Fluctuating Load be negative?

No, the Permissible Stress Amplitude for Fluctuating Load, measured in Stress cannot be negative.

Which unit is used to measure Permissible Stress Amplitude for Fluctuating Load?

Permissible Stress Amplitude for Fluctuating Load 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 Permissible Stress Amplitude for Fluctuating Load can be measured.

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Permissible Stress Amplitude for Fluctuating Load Formula

​GoSoderberg Line Amplitude Stress Formula

​GoGoodman Line Amplitude Stress Formula

Permissible Stress Amplitude for Fluctuating Load Example

Permissible Stress Amplitude for Fluctuating Load Solution

Permissible Stress Amplitude for Fluctuating Load Formula Elements

Other Formulas to find Stress Amplitude for Fluctuating Load

Other formulas in Soderberg and Goodman Lines category

How to Evaluate Permissible Stress Amplitude for Fluctuating Load?

FAQs on Permissible Stress Amplitude for Fluctuating Load

Variable Name

GoSoderberg Line Amplitude Stress Formula

GoGoodman Line Amplitude Stress Formula