Limiting Value of Stress Amplitude Solution

STEP 0: Pre-Calculation Summary
Formula Used
Limiting Value of Stress Amplitude = Design Factor of Safety*Stress Amplitude for Fluctuating Load
Sa = fs*σa
This formula uses 3 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Design Factor of Safety: 2 --> No Conversion Required
Stress Amplitude for Fluctuating Load: 30 Newton per Square Millimeter --> 30000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = fsa --> 2*30000000
Evaluating ... ...
Sa = 60000000
STEP 3: Convert Result to Output's Unit
60000000 Pascal -->60 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
60 Newton per Square Millimeter <-- Limiting Value of Stress Amplitude
(Calculation completed in 00.020 seconds)

Credits

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

Limiting Value of Stress Amplitude Formula

Limiting Value of Stress Amplitude = Design Factor of Safety*Stress Amplitude for Fluctuating Load
Sa = fs*σa

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 Stress Amplitude?

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

How to calculate Limiting Value of Stress Amplitude using this online calculator? To use this online calculator for Limiting Value of Stress Amplitude, enter Design Factor of Safety (fs) & Stress Amplitude for Fluctuating Load a) and hit the calculate button. Here is how the Limiting Value of Stress Amplitude calculation can be explained with given input values -> 6E-5 = 2*30000000.

FAQ

What is Limiting Value of Stress Amplitude?
Limiting value of Stress Amplitude formula is defined as the product of the factor of safety and stress amplitude. It is the limit to the value of the amplitude of the stress when the specimen is subjected to fluctuating loads and is represented as Sa = fsa or Limiting Value of Stress Amplitude = Design Factor of Safety*Stress Amplitude for Fluctuating Load. Design Factor of Safety expresses how much stronger a system is than it needs to be for an intended 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.
How to calculate Limiting Value of Stress Amplitude?
Limiting value of Stress Amplitude formula is defined as the product of the factor of safety and stress amplitude. It is the limit to the value of the amplitude of the stress when the specimen is subjected to fluctuating loads is calculated using Limiting Value of Stress Amplitude = Design Factor of Safety*Stress Amplitude for Fluctuating Load. To calculate Limiting Value of Stress Amplitude, you need Design Factor of Safety (fs) & Stress Amplitude for Fluctuating Load a). With our tool, you need to enter the respective value for Design Factor of Safety & Stress Amplitude 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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