Stress Amplitude Calculator

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Design of Coupling

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✖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

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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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Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 9 Design of Coupling Calculators

Factor of Safety for Tri-axial State of Stress

Go Factor of Safety = Tensile Yield Strength/sqrt(1/2*((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2))

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)

Factor of Safety for Bi-Axial State of Stress

Go Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2))

Tensile Stress in Spigot

Go Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter))

Polar Moment of Inertia of Hollow Circular Shaft

Go Polar Moment of Inertia of shaft = (pi*(Outer Diameter of Shaft^(4)-Inner Diameter of Shaft^(4)))/32

Permissible Shear Stress for Cotter

Go Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter)

Permissible Shear Stress for Spigot

Go Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*Diameter of Spigot)

Stress Amplitude

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

Polar Moment of Inertia of Solid Circular Shaft

Go Polar Moment of Inertia = (pi*Diameter of Shaft^4)/32

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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