Soderberg Line Mean stress Calculator

✖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.ⓘ 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%

✖Mean Stress for Fluctuating Load is defined as the amount of mean stress acting when a material or component is subjected to fluctuating stress.ⓘ Soderberg Line Mean stress [σ_m]

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Formula

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Soderberg Line Mean stress

Formula

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

Example

`"35N/mm²"="85N/mm²"*(1-"30N/mm²"/"51N/mm²")`

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Soderberg Line Mean stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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

Tensile Yield Strength for Fluctuating load: 85 Newton per Square Millimeter --> 85000000 Pascal (Check conversion here)
Stress Amplitude for Fluctuating Load: 30 Newton per Square Millimeter --> 30000000 Pascal (Check conversion here)
Endurance Limit: 51 Newton per Square Millimeter --> 51000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_m = σ_yt*(1-σ_a/S_e) --> 85000000*(1-30000000/51000000)

Evaluating ... ...

σ_m = 35000000

STEP 3: Convert Result to Output's Unit

35000000 Pascal -->35 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

35 Newton per Square Millimeter <-- Mean Stress for Fluctuating Load

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design against Fluctuating Load » Soderberg and Goodman Lines » Soderberg Line Mean stress

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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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< 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 Mean stress Formula

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

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 Mean stress?

Soderberg Line Mean stress calculator uses Mean Stress for Fluctuating Load = Tensile Yield Strength for Fluctuating load*(1-Stress Amplitude for Fluctuating Load/Endurance Limit) to calculate the Mean Stress for Fluctuating Load, Soderberg Line Mean stress is defined as the amount of mean 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. Mean Stress for Fluctuating Load is denoted by σ_m symbol.

How to calculate Soderberg Line Mean stress using this online calculator? To use this online calculator for Soderberg Line Mean stress, enter Tensile Yield Strength for Fluctuating load (σ_yt), Stress Amplitude for Fluctuating Load (σ_a) & Endurance Limit (S_e) and hit the calculate button. Here is how the Soderberg Line Mean stress calculation can be explained with given input values -> 3.5E-5 = 85000000*(1-30000000/51000000).

FAQ

What is Soderberg Line Mean stress?

Soderberg Line Mean stress is defined as the amount of mean 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_m = σ_yt*(1-σ_a/S_e) or Mean Stress for Fluctuating Load = Tensile Yield Strength for Fluctuating load*(1-Stress Amplitude for Fluctuating Load/Endurance Limit). 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, 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 Soderberg Line Mean stress?

Soderberg Line Mean stress is defined as the amount of mean 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 Mean Stress for Fluctuating Load = Tensile Yield Strength for Fluctuating load*(1-Stress Amplitude for Fluctuating Load/Endurance Limit). To calculate Soderberg Line Mean stress, you need Tensile Yield Strength for Fluctuating load (σ_yt), Stress Amplitude for Fluctuating Load (σ_a) & Endurance Limit (S_e). With our tool, you need to enter the respective value for Tensile Yield Strength 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.

How many ways are there to calculate Mean Stress for Fluctuating Load?

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

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

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