✖Maximum Stress at Crack Tip is the maximum amount of stress at the tip of a crack.ⓘ Maximum Stress at Crack Tip [σ_max]			+10% -10%
✖Minimum Stress is defined as the minimum stress that is induced or applied to the object.ⓘ Minimum Stress [σ_min]			+10% -10%

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

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Formula

✖

Stress Amplitude

Formula

`"σ"_{"a"} = ("σ"_{"max"}-"σ"_{"min"})/2`

Example

`"-21.935N/m²"=("62.43N/m²"-"106.3N/m²")/2`

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Stress Amplitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2
σ_a = (σ_max-σ_min)/2
This formula uses 3 Variables

Variables Used

Stress Amplitude - (Measured in Pascal) - Stress amplitude is one half of the range of stress of a stress cycle in fatigue.
Maximum Stress at Crack Tip - (Measured in Pascal) - Maximum Stress at Crack Tip is the maximum amount of stress at the tip of a crack.
Minimum Stress - (Measured in Pascal) - Minimum Stress is defined as the minimum stress that is induced or applied to the object.

STEP 1: Convert Input(s) to Base Unit

Maximum Stress at Crack Tip: 62.43 Newton per Square Meter --> 62.43 Pascal (Check conversion here)
Minimum Stress: 106.3 Newton per Square Meter --> 106.3 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_a = (σ_max-σ_min)/2 --> (62.43-106.3)/2

Evaluating ... ...

σ_a = -21.935

STEP 3: Convert Result to Output's Unit

-21.935 Pascal -->-21.935 Newton per Square Meter (Check conversion here)

FINAL ANSWER

-21.935 Newton per Square Meter <-- Stress Amplitude

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Principal Stresses and Strains » Principal Stresses » Mechanical » Normal Stress » Stress Amplitude

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< 8 Normal Stress Calculators

Equivalent Stress by Distortion Energy Theory

Go Equivalent Stress = 1/sqrt(2)*sqrt((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2)

Normal Stress on Oblique Section given Stress in Perpendicular Directions

Go Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2*cos(2*Angle made by Oblique Section with Normal)

Normal Stress for Principal Planes at Angle of 0 Degrees given Major and Minor Tensile Stress

Go Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2

Normal Stress for Principal Planes when Planes are at Angle of 0 Degree

Go Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2+(Major Tensile Stress-Minor Tensile Stress)/2

Normal Stress for Principal Planes at Angle of 90 degrees

Go Normal Stress = (Major Tensile Stress+Minor Tensile Stress)/2-(Major Tensile Stress-Minor Tensile Stress)/2

Normal Stress across Oblique Section

Go Normal Stress = Stress in Bar*(cos(Angle made by Oblique Section with Normal))^2

Normal Stress using Obliquity

Go Normal Stress = Shear Stress/tan(Angle of Obliquity)

Stress Amplitude

Go Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2

Stress Amplitude Formula

Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2
σ_a = (σ_max-σ_min)/2

Define stress amplitude?.

One-half of the range of fluctuating stress developed in a specimen in a fatigue test. Stress amplitude often is used to construct an S-N diagram. The Alternating Stress is the measure of the forces a component is subjected to over a time limit. These would vary from low (zero) to high positive or in some cases negative - imagine a door being opened & closed multiple times.

How to Calculate Stress Amplitude?

Stress Amplitude calculator uses Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2 to calculate the Stress Amplitude, The Stress Amplitude, Sa, is the amount the stress deviates from the mean. It is sometimes called as alternating stress. Stress Amplitude is denoted by σ_a symbol.

How to calculate Stress Amplitude using this online calculator? To use this online calculator for Stress Amplitude, enter Maximum Stress at Crack Tip (σ_max) & Minimum Stress (σ_min) and hit the calculate button. Here is how the Stress Amplitude calculation can be explained with given input values -> -21.935 = (62.43-106.3)/2.

FAQ

What is Stress Amplitude?

The Stress Amplitude, Sa, is the amount the stress deviates from the mean. It is sometimes called as alternating stress and is represented as σ_a = (σ_max-σ_min)/2 or Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2. Maximum Stress at Crack Tip is the maximum amount of stress at the tip of a crack & Minimum Stress is defined as the minimum stress that is induced or applied to the object.

How to calculate Stress Amplitude?

The Stress Amplitude, Sa, is the amount the stress deviates from the mean. It is sometimes called as alternating stress is calculated using Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2. To calculate Stress Amplitude, you need Maximum Stress at Crack Tip (σ_max) & Minimum Stress (σ_min). With our tool, you need to enter the respective value for Maximum Stress at Crack Tip & Minimum 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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