Limiting Value of Mean Stress Calculator

✖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.ⓘ Mean Stress for Fluctuating Load [σ_m]			+10% -10%

✖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]

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Formula

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Limiting Value of Mean Stress

Formula

`"S"_{"m"} = "f"_{"s"}*"σ"_{"m"}`

Example

`"100N/mm²"="2"*"50N/mm²"`

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Limiting Value of Mean Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Limiting Value of Mean Stress = Design Factor of Safety*Mean Stress for Fluctuating Load
S_m = f_s*σ_m
This formula uses 3 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Design Factor of Safety: 2 --> No Conversion Required
Mean Stress for Fluctuating Load: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_m = f_s*σ_m --> 2*50000000

Evaluating ... ...

S_m = 100000000

STEP 3: Convert Result to Output's Unit

100000000 Pascal -->100 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

100 Newton per Square Millimeter <-- Limiting Value of Mean Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design against Fluctuating Load » Soderberg and Goodman Lines » Limiting Value of Mean Stress

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

Sagar S Kulkarni 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

Limiting Value of Mean Stress Formula

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

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 Limiting Value of Mean Stress?

Limiting Value of Mean Stress calculator uses Limiting Value of Mean Stress = Design Factor of Safety*Mean Stress for Fluctuating Load to calculate the Limiting Value of Mean Stress, Limiting value of Mean Stress formula is defined as the product of factor of safety and mean stress. It is the limit to the value of the mean stress when the specimen is subjected to fluctuating loads. Limiting Value of Mean Stress is denoted by S_m symbol.

How to calculate Limiting Value of Mean Stress using this online calculator? To use this online calculator for Limiting Value of Mean Stress, enter Design Factor of Safety (f_s) & Mean Stress for Fluctuating Load (σ_m) and hit the calculate button. Here is how the Limiting Value of Mean Stress calculation can be explained with given input values -> 0.0001 = 2*50000000.

FAQ

What is Limiting Value of Mean Stress?

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

How to calculate Limiting Value of Mean Stress?

Limiting value of Mean Stress formula is defined as the product of factor of safety and mean stress. It is the limit to the value of the mean stress when the specimen is subjected to fluctuating loads is calculated using Limiting Value of Mean Stress = Design Factor of Safety*Mean Stress for Fluctuating Load. To calculate Limiting Value of Mean Stress, you need Design Factor of Safety (f_s) & Mean Stress for Fluctuating Load (σ_m). With our tool, you need to enter the respective value for Design Factor of Safety & Mean Stress for Fluctuating Load and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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