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]

⎘ Copy

👎

Formula

✖

Soderberg Line Endurance Limit

Formula

`"S"_{"e"} = "σ"_{"a"}/(1-"σ"_{"m"}/"σ"_{"yt"})`

Example

`"72.85714N/mm²"="30N/mm²"/(1-"50N/mm²"/"85N/mm²")`

Calculator

LaTeX

Reset

👍

Download Mechanical Formula PDF

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: 85 Newton per Square Millimeter --> 85000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_e = σ_a/(1-σ_m/σ_yt) --> 30000000/(1-50000000/85000000)

Evaluating ... ...

S_e = 72857142.8571429

STEP 3: Convert Result to Output's Unit

72857142.8571429 Pascal -->72.8571428571429 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

72.8571428571429 ≈ 72.85714 Newton per Square Millimeter <-- Endurance Limit

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has verified this Calculator and 200+ more calculators!

< 15 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

Go Ultimate Tensile strength = Mean Stress for Fluctuating Load/(1-Stress Amplitude for Fluctuating Load/Endurance Limit)

Goodman Line Amplitude Stress

Go Stress Amplitude for Fluctuating Load = Endurance Limit*(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength)

Goodman Line Endurance Limit

Go Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength)

Goodman Line Mean Stress

Go Mean Stress for Fluctuating Load = Ultimate Tensile strength*(1-Stress Amplitude for Fluctuating Load/Endurance Limit)

Slope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force

Go Slope of modified Goodman Line = Force Amplitude for Fluctuating Stress/Mean Force for Fluctuating Stress

Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress

Go Slope of modified Goodman Line = Stress Amplitude for Fluctuating Load/Mean Stress for Fluctuating Load

Permissible Stress Amplitude for Fluctuating Load

Go Stress Amplitude for Fluctuating Load = Limiting Value of Stress Amplitude/Design Factor of Safety

Limiting Value of Stress Amplitude

Go Limiting Value of Stress Amplitude = Design Factor of Safety*Stress Amplitude for Fluctuating Load

Permissible Mean Stress for Fluctuating Load

Go Mean Stress for Fluctuating Load = Limiting Value of Mean Stress/Design Factor of Safety

Limiting Value of Mean Stress

Go Limiting Value of Mean Stress = Design Factor of Safety*Mean Stress for Fluctuating Load

Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment

Go Slope of modified Goodman Line = Bending Moment Amplitude/Mean Bending Moment

Soderberg Line Endurance Limit Formula

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 endurance limit?

The fatigue or endurance limit of a material is defined as the maximum amplitude of completely reversed stress that the standard specimen can sustain for an unlimited number of cycles without fatigue failure.

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/(1-50000000/85000000).

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)

Home

FREE PDFs

🔍 Search