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Goodman Line Mean Stress Formula

GoSoderberg Line Mean stress Formula

GoPermissible Mean Stress for Fluctuating Load Formula

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Mean Stress for Fluctuating Load is defined as the amount of mean stress acting when a material or component is subjected to fluctuating stress. Check FAQs

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

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

Goodman Line Mean Stress Example

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

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

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

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

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

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

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Goodman Line Mean Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

σ m = 4.4E+8Pa \cdot (1 - \frac{3E+7Pa}{3.4E+7Pa})

Next Step Prepare to Evaluate

∴

σ m = 4.4E+8 \cdot (1 - \frac{3E+7}{3.4E+7})

Next Step Evaluate

∴

σ m = 49999955.6818132Pa

Next Step Convert to Output's Unit

∴

σ m = 49.9999556818132N/mm²

LAST Step Rounding Answer

∴

σ m = 50N/mm²

Goodman Line Mean Stress Formula Elements

Variables

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

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

Other Formulas to find Mean Stress for Fluctuating Load

Go Soderberg Line Mean stress

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

Go Permissible Mean Stress for Fluctuating Load

σ m = \frac{S m}{f s}

Other formulas in Soderberg and Goodman Lines category

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 Soderberg Line Endurance Limit

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

Go Goodman Line Amplitude Stress

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

How to Evaluate Goodman Line Mean Stress?

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

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

FAQs on Goodman Line Mean Stress

What is the formula to find Goodman Line Mean Stress?

The formula of Goodman Line Mean Stress is expressed as Mean Stress for Fluctuating Load = Ultimate Tensile strength*(1-Stress Amplitude for Fluctuating Load/Endurance Limit). Here is an example- 0.000181 = 440000000*(1-30000000/33846150).

How to calculate Goodman Line Mean Stress?

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

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

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

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

Can the Goodman Line Mean Stress be negative?

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

Which unit is used to measure Goodman Line Mean Stress?

Goodman Line Mean 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 Mean Stress can be measured.

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Goodman Line Mean Stress Formula

​GoSoderberg Line Mean stress Formula

​GoPermissible Mean Stress for Fluctuating Load Formula

Goodman Line Mean Stress Example

Goodman Line Mean Stress Solution

Goodman Line Mean Stress Formula Elements

Other Formulas to find Mean Stress for Fluctuating Load

Other formulas in Soderberg and Goodman Lines category

How to Evaluate Goodman Line Mean Stress?

FAQs on Goodman Line Mean Stress

Variable Name

GoSoderberg Line Mean stress Formula

GoPermissible Mean Stress for Fluctuating Load Formula