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Goodman Line Ultimate Tensile Strength Formula

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Ultimate Tensile Strength (UTS) is the maximum stress that a material can withstand while being stretched or pulled. Check FAQs

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

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

Goodman Line Ultimate Tensile Strength Example

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Here is how the Goodman Line Ultimate Tensile Strength equation looks like with Values.

Here is how the Goodman Line Ultimate Tensile Strength equation looks like with Units.

Here is how the Goodman Line Ultimate Tensile Strength equation looks like.

440.0004 = \frac{50}{1 - \frac{30}{33.8462}}

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

440.0004 = \frac{50}{1 - \frac{30}{33.8462}}

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Goodman Line Ultimate Tensile Strength Solution

Follow our step by step solution on how to calculate Goodman Line Ultimate Tensile Strength?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ ut = \frac{50N/mm²}{1 - \frac{30N/mm²}{33.8462N/mm²}}

Next Step Convert Units

∴

σ ut = \frac{5E+7Pa}{1 - \frac{3E+7Pa}{3.4E+7Pa}}

Next Step Prepare to Evaluate

∴

σ ut = \frac{5E+7}{1 - \frac{3E+7}{3.4E+7}}

Next Step Evaluate

∴

σ ut = 440000390.00039Pa

Next Step Convert to Output's Unit

∴

σ ut = 440.00039000039N/mm²

LAST Step Rounding Answer

∴

σ ut = 440.0004N/mm²

Goodman Line Ultimate Tensile Strength Formula Elements

Variables

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

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

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 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 Soderberg Line Endurance Limit

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

How to Evaluate Goodman Line Ultimate Tensile Strength?

Goodman Line Ultimate Tensile Strength evaluator uses Ultimate Tensile strength = Mean Stress for Fluctuating Load/(1-Stress Amplitude for Fluctuating Load/Endurance Limit) to evaluate the Ultimate Tensile strength, Goodman Line Ultimate Tensile Strength formula is defined as the ultimate tensile strength (the maximum stress that a given material can withstand under an applied force before failure and necking) of the specimen calculated from the Goodman line diagram. Ultimate Tensile strength is denoted by σ_ut symbol.

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

FAQs on Goodman Line Ultimate Tensile Strength

What is the formula to find Goodman Line Ultimate Tensile Strength?

The formula of Goodman Line Ultimate Tensile Strength is expressed as Ultimate Tensile strength = Mean Stress for Fluctuating Load/(1-Stress Amplitude for Fluctuating Load/Endurance Limit). Here is an example- 0.000121 = 50000000/(1-30000000/33846150).

How to calculate Goodman Line Ultimate Tensile Strength?

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

Can the Goodman Line Ultimate Tensile Strength be negative?

No, the Goodman Line Ultimate Tensile Strength, measured in Stress cannot be negative.

Which unit is used to measure Goodman Line Ultimate Tensile Strength?

Goodman Line Ultimate Tensile Strength 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 Ultimate Tensile Strength can be measured.

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Goodman Line Ultimate Tensile Strength Formula

Goodman Line Ultimate Tensile Strength Example

Goodman Line Ultimate Tensile Strength Solution

Goodman Line Ultimate Tensile Strength Formula Elements

Other formulas in Soderberg and Goodman Lines category

How to Evaluate Goodman Line Ultimate Tensile Strength?

FAQs on Goodman Line Ultimate Tensile Strength

Variable Name