Permissible Stress Amplitude for Fluctuating Load Calculator

✖The Limiting Value of Stress Amplitude is defined as the limit to the value of the amplitude of the stress when the specimen is subjected to fluctuating loads.ⓘ Limiting Value of Stress Amplitude [S_a]			+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%

✖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.ⓘ Permissible Stress Amplitude for Fluctuating Load [σ_a]

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Permissible Stress Amplitude for Fluctuating Load

Formula

`"σ"_{"a"} = "S"_{"a"}/"f"_{"s"}`

Example

`"57N/mm²"="114N/mm²"/"2"`

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Permissible Stress Amplitude for Fluctuating Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress Amplitude for Fluctuating Load = Limiting Value of Stress Amplitude/Design Factor of Safety
σ_a = S_a/f_s
This formula uses 3 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.
Limiting Value of Stress Amplitude - (Measured in Pascal) - The Limiting Value of Stress Amplitude is defined as the limit to the value of the amplitude of the 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 Stress Amplitude: 114 Newton per Square Millimeter --> 114000000 Pascal (Check conversion here)
Design Factor of Safety: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_a = S_a/f_s --> 114000000/2

Evaluating ... ...

σ_a = 57000000

STEP 3: Convert Result to Output's Unit

57000000 Pascal -->57 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

57 Newton per Square Millimeter <-- Stress Amplitude 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 » Permissible Stress Amplitude for Fluctuating Load

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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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

Permissible Stress Amplitude for Fluctuating Load Formula

Stress Amplitude for Fluctuating Load = Limiting Value of Stress Amplitude/Design Factor of Safety
σ_a = S_a/f_s

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 Permissible Stress Amplitude for Fluctuating Load?

Permissible Stress Amplitude for Fluctuating Load calculator uses Stress Amplitude for Fluctuating Load = Limiting Value of Stress Amplitude/Design Factor of Safety to calculate the Stress Amplitude for Fluctuating Load, Permissible Stress Amplitude for Fluctuating load formula is defined as the ratio of the limiting value of stress amplitude to the factor of safety. It is 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 is denoted by σ_a symbol.

How to calculate Permissible Stress Amplitude for Fluctuating Load using this online calculator? To use this online calculator for Permissible Stress Amplitude for Fluctuating Load, enter Limiting Value of Stress Amplitude (S_a) & Design Factor of Safety (f_s) and hit the calculate button. Here is how the Permissible Stress Amplitude for Fluctuating Load calculation can be explained with given input values -> 5.7E-5 = 114000000/2.

FAQ

What is Permissible Stress Amplitude for Fluctuating Load?

Permissible Stress Amplitude for Fluctuating load formula is defined as the ratio of the limiting value of stress amplitude to the factor of safety. It is the amount of stress deviation from the mean stress and is also called the alternating component of stress in fluctuating loads and is represented as σ_a = S_a/f_s or Stress Amplitude for Fluctuating Load = Limiting Value of Stress Amplitude/Design Factor of Safety. The Limiting Value of Stress Amplitude is defined as the limit to the value of the amplitude of the 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 Stress Amplitude for Fluctuating Load?

Permissible Stress Amplitude for Fluctuating load formula is defined as the ratio of the limiting value of stress amplitude to the factor of safety. It is the amount of stress deviation from the mean stress and is also called the alternating component of stress in fluctuating loads is calculated using Stress Amplitude for Fluctuating Load = Limiting Value of Stress Amplitude/Design Factor of Safety. To calculate Permissible Stress Amplitude for Fluctuating Load, you need Limiting Value of Stress Amplitude (S_a) & Design Factor of Safety (f_s). With our tool, you need to enter the respective value for Limiting Value of Stress Amplitude & 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 Stress Amplitude for Fluctuating Load?

In this formula, Stress Amplitude for Fluctuating Load uses Limiting Value of Stress Amplitude & Design Factor of Safety. 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/Tensile Yield Strength for Fluctuating load)
Stress Amplitude for Fluctuating Load = Endurance Limit*(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength)

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