Goodman Line Endurance Limit Calculator

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

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Goodman Line Endurance Limit Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
Ultimate Tensile strength - (Measured in Pascal) - Ultimate Tensile Strength (UTS) is the maximum stress that a material can withstand while being stretched or pulled.

STEP 1: Convert Input(s) to Base Unit

Stress Amplitude for Fluctuating Load: 30 Newton per Square Millimeter --> 30000000 Pascal (Check conversion here)
Mean Stress for Fluctuating Load: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)
Ultimate Tensile strength: 440 Newton per Square Millimeter --> 440000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_e = σ_a/(1-σ_m/σ_ut) --> 30000000/(1-50000000/440000000)

Evaluating ... ...

S_e = 33846153.8461538

STEP 3: Convert Result to Output's Unit

33846153.8461538 Pascal -->33.8461538461538 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

33.8461538461538 ≈ 33.84615 Newton per Square Millimeter <-- Endurance Limit

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Machine Design » Design against Fluctuating Load » Soderberg and Goodman Lines » Goodman Line Endurance Limit

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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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 Endurance Limit Formula

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

What is Godman Line?

The Godman line is a concept in the field of materials science, specifically related to the behavior of metals under fatigue loading. It represents the boundary between two distinct failure modes: one where failure is dominated by crack initiation and propagation due to cyclic stresses, and another where failure occurs due to a smooth, stable behavior without significant crack growth. The Godman line helps in understanding how materials behave under different loading conditions and guides the design of more durable materials and structures.

How to Calculate Goodman Line Endurance Limit?

Goodman Line Endurance Limit calculator uses Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength) to calculate the Endurance Limit, Goodman Line Endurance Limit is defined as the endurance limit (stress below which a material can endure an infinite number of repeated load cycles without exhibiting failure) of the specimen calculated from the Goodman line diagram. Endurance Limit is denoted by S_e symbol.

How to calculate Goodman Line Endurance Limit using this online calculator? To use this online calculator for Goodman Line Endurance Limit, enter Stress Amplitude for Fluctuating Load (σ_a), Mean Stress for Fluctuating Load (σ_m) & Ultimate Tensile strength (σ_ut) and hit the calculate button. Here is how the Goodman Line Endurance Limit calculation can be explained with given input values -> 3.4E-5 = 30000000/(1-50000000/440000000).

FAQ

What is Goodman Line Endurance Limit?

Goodman Line Endurance Limit is defined as the endurance limit (stress below which a material can endure an infinite number of repeated load cycles without exhibiting failure) of the specimen calculated from the Goodman line diagram and is represented as S_e = σ_a/(1-σ_m/σ_ut) or Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength). 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, Mean Stress for Fluctuating Load is defined as the amount of mean stress acting when a material or component is subjected to fluctuating stress & Ultimate Tensile Strength (UTS) is the maximum stress that a material can withstand while being stretched or pulled.

How to calculate Goodman Line Endurance Limit?

Goodman Line Endurance Limit is defined as the endurance limit (stress below which a material can endure an infinite number of repeated load cycles without exhibiting failure) of the specimen calculated from the Goodman line diagram is calculated using Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength). To calculate Goodman Line Endurance Limit, you need Stress Amplitude for Fluctuating Load (σ_a), Mean Stress for Fluctuating Load (σ_m) & Ultimate Tensile strength (σ_ut). With our tool, you need to enter the respective value for Stress Amplitude for Fluctuating Load, Mean Stress for Fluctuating Load & Ultimate Tensile strength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Endurance Limit?

In this formula, Endurance Limit uses Stress Amplitude for Fluctuating Load, Mean Stress for Fluctuating Load & Ultimate Tensile strength. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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