Goodman Line Ultimate Tensile Strength Calculator

✖Mean Stress for Fluctuating Load is defined as the amount of mean stress acting when a material or component is subjected to fluctuating stress.ⓘ Mean Stress for Fluctuating Load [σ_m]			+10% -10%
✖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.ⓘ Stress Amplitude for Fluctuating Load [σ_a]			+10% -10%
✖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.ⓘ Endurance Limit [S_e]			+10% -10%

✖Ultimate Tensile Strength (UTS) is the maximum stress that a material can withstand while being stretched or pulled.ⓘ Goodman Line Ultimate Tensile Strength [σ_ut]

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Goodman Line Ultimate Tensile Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ultimate Tensile strength = Mean Stress for Fluctuating Load/(1-Stress Amplitude for Fluctuating Load/Endurance Limit)
σ_ut = σ_m/(1-σ_a/S_e)
This formula uses 4 Variables

Variables Used

Ultimate Tensile strength - (Measured in Pascal) - Ultimate Tensile Strength (UTS) is the maximum stress that a material can withstand while being stretched or pulled.
Mean Stress for Fluctuating Load - (Measured in Pascal) - Mean Stress for Fluctuating Load is defined as the amount of mean stress acting when a material or component is subjected to fluctuating stress.
Stress Amplitude for Fluctuating Load - (Measured in Pascal) - 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.
Endurance Limit - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Mean Stress for Fluctuating Load: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)
Stress Amplitude for Fluctuating Load: 30 Newton per Square Millimeter --> 30000000 Pascal (Check conversion here)
Endurance Limit: 33.84615 Newton per Square Millimeter --> 33846150 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_ut = σ_m/(1-σ_a/S_e) --> 50000000/(1-30000000/33846150)

Evaluating ... ...

σ_ut = 440000390.00039

STEP 3: Convert Result to Output's Unit

440000390.00039 Pascal -->440.00039000039 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

440.00039000039 ≈ 440.0004 Newton per Square Millimeter <-- Ultimate Tensile strength

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design against Fluctuating Load » Soderberg and Goodman Lines » Goodman Line Ultimate Tensile Strength

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< Soderberg and Goodman Lines Calculators

Soderberg Line Tensile Yield Strength

Go Tensile Yield Strength for Fluctuating load = Mean Stress for Fluctuating Load/(1-Stress Amplitude for Fluctuating Load/Endurance Limit)

Soderberg Line Amplitude Stress

Go Stress Amplitude for Fluctuating Load = Endurance Limit*(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load)

Soderberg Line Endurance Limit

Go Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load)

Soderberg Line Mean stress

Go Mean Stress for Fluctuating Load = Tensile Yield Strength for Fluctuating load*(1-Stress Amplitude for Fluctuating Load/Endurance Limit)

Goodman Line Ultimate Tensile Strength Formula

Ultimate Tensile strength = Mean Stress for Fluctuating Load/(1-Stress Amplitude for Fluctuating Load/Endurance Limit)
σ_ut = σ_m/(1-σ_a/S_e)

What is Ultimate Tensile Strength?

Ultimate tensile strength (UTS) is the maximum stress a material can withstand when stretched or pulled before breaking. It represents the material's highest capacity to resist tension, beyond which it will fracture. UTS is an important property in material selection, helping engineers determine which materials are suitable for applications where high tensile forces are expected, such as in structural components, cables, or bridges.

How to Calculate Goodman Line Ultimate Tensile Strength?

Goodman Line Ultimate Tensile Strength calculator uses Ultimate Tensile strength = Mean Stress for Fluctuating Load/(1-Stress Amplitude for Fluctuating Load/Endurance Limit) to calculate 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 calculate Goodman Line Ultimate Tensile Strength using this online calculator? To use this online calculator 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. Here is how the Goodman Line Ultimate Tensile Strength calculation can be explained with given input values -> 0.000121 = 50000000/(1-30000000/33846150).

FAQ

What is Goodman Line 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 and is represented as σ_ut = σ_m/(1-σ_a/S_e) or Ultimate Tensile strength = Mean Stress for Fluctuating Load/(1-Stress Amplitude for Fluctuating Load/Endurance Limit). Mean Stress for Fluctuating Load is defined as the amount of mean stress acting when a material or component is subjected to fluctuating stress, 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 & 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.

How to calculate Goodman Line 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 is calculated using Ultimate Tensile strength = Mean Stress for Fluctuating Load/(1-Stress Amplitude for Fluctuating Load/Endurance Limit). To calculate Goodman Line Ultimate Tensile Strength, you need Mean Stress for Fluctuating Load (σ_m), Stress Amplitude for Fluctuating Load (σ_a) & Endurance Limit (S_e). With our tool, you need to enter the respective value for Mean Stress for Fluctuating Load, Stress Amplitude for Fluctuating Load & Endurance Limit and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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