Soderberg Line Amplitude Stress Calculator

✖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%
✖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%

✖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.ⓘ Soderberg Line Amplitude Stress [σ_a]

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Soderberg Line Amplitude Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress Amplitude for Fluctuating Load = Endurance Limit*(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load)
σ_a = S_e*(1-σ_m/σ_yt)
This formula uses 4 Variables

Variables Used

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.
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

Endurance Limit: 33.84615 Newton per Square Millimeter --> 33846150 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

σ_a = S_e*(1-σ_m/σ_yt) --> 33846150*(1-50000000/440000400)

Evaluating ... ...

σ_a = 30000000.087409

STEP 3: Convert Result to Output's Unit

30000000.087409 Pascal -->30.000000087409 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

30.000000087409 ≈ 30 Newton per Square Millimeter <-- Stress Amplitude for Fluctuating Load

(Calculation completed in 00.004 seconds)

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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)

Soderberg Line Amplitude Stress Formula

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

What is Soderberg Line Amplitude Stress?

The Soderberg line amplitude stress refers to the alternating or fluctuating component of the stress that a material experiences, plotted in the context of the Soderberg failure criterion. In this criterion, the amplitude stress is compared to the material's yield strength to determine whether the component will fail under cyclic loading. The Soderberg line helps assess whether the material will withstand repeated stress cycles without yielding, providing a conservative estimate for safe design under fluctuating loads.

How to Calculate Soderberg Line Amplitude Stress?

Soderberg Line Amplitude Stress calculator uses Stress Amplitude for Fluctuating Load = Endurance Limit*(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load) to calculate the Stress Amplitude for Fluctuating Load, Soderberg Line Amplitude Stress formula is defined as the amount of alternating stress acting on a material when the material is subjected to fluctuating stress or under fatigue loading and this value is obtained using the Soderberg line diagram. Stress Amplitude for Fluctuating Load is denoted by σ_a symbol.

How to calculate Soderberg Line Amplitude Stress using this online calculator? To use this online calculator for Soderberg Line Amplitude Stress, enter Endurance Limit (S_e), 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 Amplitude Stress calculation can be explained with given input values -> 3E-5 = 33846150*(1-50000000/440000400).

FAQ

What is Soderberg Line Amplitude Stress?

Soderberg Line Amplitude Stress formula is defined as the amount of alternating stress acting on a material when the material is subjected to fluctuating stress or under fatigue loading and this value is obtained using the Soderberg line diagram and is represented as σ_a = S_e*(1-σ_m/σ_yt) or Stress Amplitude for Fluctuating Load = Endurance Limit*(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load). 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, 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 Amplitude Stress?

Soderberg Line Amplitude Stress formula is defined as the amount of alternating stress acting on a material when the material is subjected to fluctuating stress or under fatigue loading and this value is obtained using the Soderberg line diagram is calculated using Stress Amplitude for Fluctuating Load = Endurance Limit*(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load). To calculate Soderberg Line Amplitude Stress, you need Endurance Limit (S_e), 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 Endurance Limit, 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 Stress Amplitude for Fluctuating Load?

In this formula, Stress Amplitude for Fluctuating Load uses Endurance Limit, Mean Stress for Fluctuating Load & Tensile Yield Strength for Fluctuating load. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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