Permissible Mean Stress for Fluctuating Load Calculator

✖The Limiting Value of Mean Stress is defined as the limit to the value of the mean stress when the specimen is subjected to fluctuating loads.ⓘ Limiting Value of Mean Stress [S_m]			+10% -10%
✖Design Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Design Factor of Safety [f_s]			+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.ⓘ Permissible Mean Stress for Fluctuating Load [σ_m]

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Permissible Mean Stress for Fluctuating Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Stress for Fluctuating Load = Limiting Value of Mean Stress/Design Factor of Safety
σ_m = S_m/f_s
This formula uses 3 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.
Limiting Value of Mean Stress - (Measured in Pascal) - The Limiting Value of Mean Stress is defined as the limit to the value of the mean stress when the specimen is subjected to fluctuating loads.
Design Factor of Safety - Design Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

STEP 1: Convert Input(s) to Base Unit

Limiting Value of Mean Stress: 100 Newton per Square Millimeter --> 100000000 Pascal (Check conversion here)
Design Factor of Safety: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_m = S_m/f_s --> 100000000/2

Evaluating ... ...

σ_m = 50000000

STEP 3: Convert Result to Output's Unit

50000000 Pascal -->50 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

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

(Calculation completed in 00.021 seconds)

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Home » Engineering » Mechanical » Machine Design » Design against Fluctuating Load » Soderberg and Goodman Lines » Permissible Mean Stress for Fluctuating Load

Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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

Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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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)

Permissible Mean Stress for Fluctuating Load Formula

Mean Stress for Fluctuating Load = Limiting Value of Mean Stress/Design Factor of Safety
σ_m = S_m/f_s

What is Fluctuating Load?

A fluctuating load is a load that varies in magnitude and/or direction over time. It can be periodic, such as sinusoidal forces, or random in nature, like wind or traffic loads. Fluctuating loads are significant in fatigue analysis, as repeated variations in stress can lead to material failure, even if the load is below the material’s tensile strength. This type of load is commonly encountered in structures and machinery that undergo cyclic or changing forces.

How to Calculate Permissible Mean Stress for Fluctuating Load?

Permissible Mean Stress for Fluctuating Load calculator uses Mean Stress for Fluctuating Load = Limiting Value of Mean Stress/Design Factor of Safety to calculate the Mean Stress for Fluctuating Load, Permissible Mean Stress for Fluctuating load formula is defined as the ratio of the limiting value of mean stress to the factor of safety. It is the amount of mean stress acting when a material or component is subjected to fluctuating stress. Mean Stress for Fluctuating Load is denoted by σ_m symbol.

How to calculate Permissible Mean Stress for Fluctuating Load using this online calculator? To use this online calculator for Permissible Mean Stress for Fluctuating Load, enter Limiting Value of Mean Stress (S_m) & Design Factor of Safety (f_s) and hit the calculate button. Here is how the Permissible Mean Stress for Fluctuating Load calculation can be explained with given input values -> 2.9E-5 = 100000000/2.

FAQ

What is Permissible Mean Stress for Fluctuating Load?

Permissible Mean Stress for Fluctuating load formula is defined as the ratio of the limiting value of mean stress to the factor of safety. It is the amount of mean stress acting when a material or component is subjected to fluctuating stress and is represented as σ_m = S_m/f_s or Mean Stress for Fluctuating Load = Limiting Value of Mean Stress/Design Factor of Safety. The Limiting Value of Mean Stress is defined as the limit to the value of the mean stress when the specimen is subjected to fluctuating loads & Design Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

How to calculate Permissible Mean Stress for Fluctuating Load?

Permissible Mean Stress for Fluctuating load formula is defined as the ratio of the limiting value of mean stress to the factor of safety. It is the amount of mean stress acting when a material or component is subjected to fluctuating stress is calculated using Mean Stress for Fluctuating Load = Limiting Value of Mean Stress/Design Factor of Safety. To calculate Permissible Mean Stress for Fluctuating Load, you need Limiting Value of Mean Stress (S_m) & Design Factor of Safety (f_s). With our tool, you need to enter the respective value for Limiting Value of Mean Stress & Design Factor of Safety 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 Limiting Value of Mean Stress & Design Factor of Safety. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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