Soderberg 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%
✖Tensile Yield Strength for Fluctuating load is the stress a material can withstand without permanent deformation or a point at which it will no longer return to its original dimensions.ⓘ Tensile Yield Strength for Fluctuating load [σ_yt]			+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.ⓘ Soderberg Line Endurance Limit [S_e]

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Soderberg Line Endurance Limit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load)
S_e = σ_a/(1-σ_m/σ_yt)
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.
Tensile Yield Strength for Fluctuating load - (Measured in Pascal) - Tensile Yield Strength for Fluctuating load is the stress a material can withstand without permanent deformation or a point at which it will no longer return to its original dimensions.

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)
Tensile Yield Strength for Fluctuating load: 440.0004 Newton per Square Millimeter --> 440000400 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_e = σ_a/(1-σ_m/σ_yt) --> 30000000/(1-50000000/440000400)

Evaluating ... ...

S_e = 33846149.9013847

STEP 3: Convert Result to Output's Unit

33846149.9013847 Pascal -->33.8461499013847 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

33.8461499013847 ≈ 33.84615 Newton per Square Millimeter <-- Endurance Limit

(Calculation completed in 00.004 seconds)

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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

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

Soderberg Line Amplitude Stress

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

Soderberg Line Endurance Limit

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

Soderberg Line Mean stress

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

Soderberg Line Endurance Limit Formula

LaTeX Go

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

What is Soderberg Line?

The Soderberg line is a graphical representation used in fatigue analysis to predict the failure of materials under fluctuating loads. It defines the boundary between safe and unsafe operating conditions, combining both the material's yield strength and its fatigue strength. In this line, the mean stress and alternating stress are plotted, and the line represents the condition where a material will fail. The Soderberg line is considered a conservative approach to ensure safety in designs subjected to cyclic loading.

How to Calculate Soderberg Line Endurance Limit?

Soderberg Line Endurance Limit calculator uses Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load) to calculate the Endurance Limit, Soderberg Line Endurance Limit formula 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 Soderberg line diagram. Endurance Limit is denoted by S_e symbol.

How to calculate Soderberg Line Endurance Limit using this online calculator? To use this online calculator for Soderberg Line Endurance Limit, enter Stress Amplitude for Fluctuating Load (σ_a), Mean Stress for Fluctuating Load (σ_m) & Tensile Yield Strength for Fluctuating load (σ_yt) and hit the calculate button. Here is how the Soderberg Line Endurance Limit calculation can be explained with given input values -> 7.3E-5 = 30000000/(1-50000000/440000400).

FAQ

What is Soderberg Line Endurance Limit?

Soderberg Line Endurance Limit formula 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 Soderberg line diagram and is represented as S_e = σ_a/(1-σ_m/σ_yt) or Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Tensile Yield Strength 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, Mean Stress for Fluctuating Load is defined as the amount of mean stress acting when a material or component is subjected to fluctuating stress & Tensile Yield Strength for Fluctuating load is the stress a material can withstand without permanent deformation or a point at which it will no longer return to its original dimensions.

How to calculate Soderberg Line Endurance Limit?

Soderberg Line Endurance Limit formula 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 Soderberg line diagram is calculated using Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load). To calculate Soderberg Line Endurance Limit, you need Stress Amplitude for Fluctuating Load (σ_a), Mean Stress for Fluctuating Load (σ_m) & Tensile Yield Strength for Fluctuating load (σ_yt). With our tool, you need to enter the respective value for Stress Amplitude for Fluctuating Load, Mean Stress for Fluctuating Load & Tensile Yield Strength for Fluctuating load 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 & Tensile Yield Strength for Fluctuating load. 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/Ultimate Tensile strength)

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