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Stress Amplitude Formula

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Stress amplitude is one half of the range of stress of a stress cycle in fatigue. Check FAQs

σ a = \frac{σ max - σ min}{2}

σ_a - Stress Amplitude?σ_max - Maximum Stress at Crack Tip?σ_min - Minimum Stress?

Stress Amplitude Example

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With units

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Here is how the Stress Amplitude equation looks like with Values.

Here is how the Stress Amplitude equation looks like with Units.

Here is how the Stress Amplitude equation looks like.

-21.935 = \frac{62.43 - 106.3}{2}

-21.935N/m² = \frac{62.43N/m² - 106.3N/m²}{2}

-21.935 = \frac{62.43 - 106.3}{2}

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Stress Amplitude Solution

Follow our step by step solution on how to calculate Stress Amplitude?

FIRST Step Consider the formula

σ a = \frac{σ max - σ min}{2}

Next Step Substitute values of Variables

∴

σ a = \frac{62.43N/m² - 106.3N/m²}{2}

Next Step Convert Units

∴

σ a = \frac{62.43Pa - 106.3Pa}{2}

Next Step Prepare to Evaluate

∴

σ a = \frac{62.43 - 106.3}{2}

Next Step Evaluate

∴

σ a = -21.935Pa

LAST Step Convert to Output's Unit

∴

σ a = -21.935N/m²

Stress Amplitude Formula Elements

Variables

Stress Amplitude

Stress amplitude is one half of the range of stress of a stress cycle in fatigue.

Symbol: σ_a

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Stress Amplitude

Maximum Stress at Crack Tip

Maximum Stress at Crack Tip is the maximum amount of stress at the tip of a crack.

Symbol: σ_max

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Maximum Stress at Crack Tip

Minimum Stress

Minimum Stress is defined as the minimum stress that is induced or applied to the object.

Symbol: σ_min

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Minimum Stress

Other formulas in Normal Stress category

Go Normal Stress across Oblique Section

σ n = σ \cdot {(\cos (θ o))}^{2}

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

σ n = \frac{σ 1 + σ 2}{2} + \frac{σ 1 - σ 2}{2}

Go Normal Stress for Principal Planes at Angle of 90 degrees

σ n = \frac{σ 1 + σ 2}{2} - \frac{σ 1 - σ 2}{2}

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

σ n = \frac{σ 1 + σ 2}{2} + \frac{σ 1 - σ 2}{2}

How to Evaluate Stress Amplitude?

Stress Amplitude evaluator uses Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2 to evaluate the Stress Amplitude, Stress Amplitude formula is defined as a measure of the variation in stress from the average stress, providing a way to quantify the fluctuating stress in a material or structure, which is critical in understanding its fatigue behavior and potential for failure. Stress Amplitude is denoted by σ_a symbol.

How to evaluate Stress Amplitude using this online evaluator? To use this online evaluator for Stress Amplitude, enter Maximum Stress at Crack Tip (σ_max) & Minimum Stress (σ_min) and hit the calculate button.

FAQs on Stress Amplitude

What is the formula to find Stress Amplitude?

The formula of Stress Amplitude is expressed as Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2. Here is an example- -21.935 = (62.43-106.3)/2.

How to calculate Stress Amplitude?

With Maximum Stress at Crack Tip (σ_max) & Minimum Stress (σ_min) we can find Stress Amplitude using the formula - Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2.

Can the Stress Amplitude be negative?

Yes, the Stress Amplitude, measured in Pressure can be negative.

Which unit is used to measure Stress Amplitude?

Stress Amplitude is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Stress Amplitude can be measured.

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Stress Amplitude Formula

Stress Amplitude Example

Stress Amplitude Solution

Stress Amplitude Formula Elements

Other formulas in Normal Stress category

How to Evaluate Stress Amplitude?

FAQs on Stress Amplitude

Variable Name