Stress amplitude (fatigue) Calculator

✖Range of stress is the difference between maximum and minimum stress in a stress cycle during fatigue.ⓘ Range of stress [σ_r]

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✖Stress amplitude is one half of the range of stress of a stress cycle in fatigue.ⓘ Stress amplitude (fatigue) [σ_a]

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Formula

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Stress amplitude (fatigue)

Formula

`"σ"_{"a"} = "σ"_{"r"}/2`

Example

`"5E^6N/m²"="10MPa"/2`

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Stress amplitude (fatigue) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress Amplitude = Range of stress/2
σ_a = σ_r/2
This formula uses 2 Variables

Variables Used

Stress Amplitude - (Measured in Pascal) - Stress amplitude is one half of the range of stress of a stress cycle in fatigue.
Range of stress - (Measured in Pascal) - Range of stress is the difference between maximum and minimum stress in a stress cycle during fatigue.

STEP 1: Convert Input(s) to Base Unit

Range of stress: 10 Megapascal --> 10000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_a = σ_r/2 --> 10000000/2

Evaluating ... ...

σ_a = 5000000

STEP 3: Convert Result to Output's Unit

5000000 Pascal -->5000000 Newton per Square Meter (Check conversion here)

FINAL ANSWER

5000000 ≈ 5E+6 Newton per Square Meter <-- Stress Amplitude

(Calculation completed in 00.004 seconds)

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Credits

Created by Hariharan V S

Indian Institute of Technology (IIT), Chennai

Hariharan V S has created this Calculator and 25+ more calculators!

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< 12 Failure Testing in Materials Calculators

Fracture toughness

Go Fracture Toughness = Dimensionless Parameter in Fracture Toughness*Applied stress*sqrt(pi*Crack Length)

Critical stress for crack propagation

Go Critical stress = sqrt(2*Young's Modulus*Specific surface energy/(pi*Crack Length))

Percent cold work

Go Percent cold work = 100*(Cross-sectional Area-Area after deformation)/Cross-sectional Area

Percent reduction in area

Go Percent reduction in area = (Cross-sectional Area-Fracture area)*100/Cross-sectional Area

Percent elongation

Go Percent elongation = (Fracture Length-Initial Length)*100/Initial Length

Stress concentration factor

Go Stress Concentration Factor = 2*sqrt(Crack Length/Radius of curvature)

Mean stress of stress cycle (fatigue)

Go Mean Stress of Stress Cycle = (Maximum Tensile Stress+Minimum compressive stress)/2

Maximum stress at crack tip

Go Maximum Stress at Crack Tip = Stress Concentration Factor*Applied stress

Range of stress (fatigue)

Go Range of stress = Maximum Tensile Stress-Minimum compressive stress

Stress ratio (fatigue)

Go Stress ratio = Minimum compressive stress/Maximum Tensile Stress

Modulus of resilience

Go Modulus of Resilience = Yield Strength^2/(2*Young's Modulus)

Stress amplitude (fatigue)

Go Stress Amplitude = Range of stress/2

Stress amplitude (fatigue) Formula

Stress Amplitude = Range of stress/2
σ_a = σ_r/2

Fatigue

Fatigue is a form of failure that occurs in structures subjected to dynamic and fluctuating stresses (e.g., bridges, aircraft, and machine components). Under these circumstances it is possible for failure to occur at a stress level considerably lower than the tensile or yield strength for a static load.

How to Calculate Stress amplitude (fatigue)?

Stress amplitude (fatigue) calculator uses Stress Amplitude = Range of stress/2 to calculate the Stress Amplitude, Stress amplitude (fatigue) is the one half of the range of stress of a stress cycle in fatigue. Stress Amplitude is denoted by σ_a symbol.

How to calculate Stress amplitude (fatigue) using this online calculator? To use this online calculator for Stress amplitude (fatigue), enter Range of stress (σ_r) and hit the calculate button. Here is how the Stress amplitude (fatigue) calculation can be explained with given input values -> 5E+6 = 10000000/2.

FAQ

What is Stress amplitude (fatigue)?

Stress amplitude (fatigue) is the one half of the range of stress of a stress cycle in fatigue and is represented as σ_a = σ_r/2 or Stress Amplitude = Range of stress/2. Range of stress is the difference between maximum and minimum stress in a stress cycle during fatigue.

How to calculate Stress amplitude (fatigue)?

Stress amplitude (fatigue) is the one half of the range of stress of a stress cycle in fatigue is calculated using Stress Amplitude = Range of stress/2. To calculate Stress amplitude (fatigue), you need Range of stress (σ_r). With our tool, you need to enter the respective value for Range of stress 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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