Shear Strain given Tangential Displacement and Original Length Calculator

✖The tangential displacement is the displacement of the body cause due to the action of tangential force.ⓘ Tangential Displacement [t]			+10% -10%
✖Initial Length before the application of load.ⓘ Initial Length [l₀]			+10% -10%

✖The Shear Strain is the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress.ⓘ Shear Strain given Tangential Displacement and Original Length [𝜂]

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Formula

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Shear Strain given Tangential Displacement and Original Length

Formula

`"𝜂" = "t"/"l"_{"0"}`

Example

`"1.1356"="5678mm"/"5000mm"`

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Shear Strain given Tangential Displacement and Original Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Strain = Tangential Displacement/Initial Length
𝜂 = t/l₀
This formula uses 3 Variables

Variables Used

Shear Strain - The Shear Strain is the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress.
Tangential Displacement - (Measured in Meter) - The tangential displacement is the displacement of the body cause due to the action of tangential force.
Initial Length - (Measured in Meter) - Initial Length before the application of load.

STEP 1: Convert Input(s) to Base Unit

Tangential Displacement: 5678 Millimeter --> 5.678 Meter (Check conversion here)
Initial Length: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜂 = t/l₀ --> 5.678/5

Evaluating ... ...

𝜂 = 1.1356

STEP 3: Convert Result to Output's Unit

1.1356 --> No Conversion Required

FINAL ANSWER

1.1356 <-- Shear Strain

(Calculation completed in 00.004 seconds)

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Shear Strain given Tangential Displacement and Original Length Formula

Shear Strain = Tangential Displacement/Initial Length
𝜂 = t/l₀

What is shear strain?

The Shear Strain is the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress.

How to Calculate Shear Strain given Tangential Displacement and Original Length?

Shear Strain given Tangential Displacement and Original Length calculator uses Shear Strain = Tangential Displacement/Initial Length to calculate the Shear Strain, Shear Strain given Tangential Displacement and Original Length is the ratio of tangential displacement to the original length. Shear Strain is denoted by 𝜂 symbol.

How to calculate Shear Strain given Tangential Displacement and Original Length using this online calculator? To use this online calculator for Shear Strain given Tangential Displacement and Original Length, enter Tangential Displacement (t) & Initial Length (l₀) and hit the calculate button. Here is how the Shear Strain given Tangential Displacement and Original Length calculation can be explained with given input values -> 1.1356 = 5.678/5.

FAQ

What is Shear Strain given Tangential Displacement and Original Length?

Shear Strain given Tangential Displacement and Original Length is the ratio of tangential displacement to the original length and is represented as 𝜂 = t/l₀ or Shear Strain = Tangential Displacement/Initial Length. The tangential displacement is the displacement of the body cause due to the action of tangential force & Initial Length before the application of load.

How to calculate Shear Strain given Tangential Displacement and Original Length?

Shear Strain given Tangential Displacement and Original Length is the ratio of tangential displacement to the original length is calculated using Shear Strain = Tangential Displacement/Initial Length. To calculate Shear Strain given Tangential Displacement and Original Length, you need Tangential Displacement (t) & Initial Length (l₀). With our tool, you need to enter the respective value for Tangential Displacement & Initial Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Shear Strain?

In this formula, Shear Strain uses Tangential Displacement & Initial Length. We can use 2 other way(s) to calculate the same, which is/are as follows -

Shear Strain = tan(Shear Angle Metal)+cot(Shear Angle Metal-Rake Angle)
Shear Strain = tan(Shear Angle Metal)+cot(Shear Angle Metal-Rake Angle)

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