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Shear Strain Produced given Work Done by Gradually Applied Shear Force Formula

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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. Check FAQs

𝜂 = \frac{2 \cdot w}{𝜏 \cdot V T}

𝜂 - Shear Strain?w - Work Done by Load?𝜏 - Shear Stress in body?V_T - Volume of Body?

Shear Strain Produced given Work Done by Gradually Applied Shear Force Example

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Here is how the Shear Strain Produced given Work Done by Gradually Applied Shear Force equation looks like with Values.

Here is how the Shear Strain Produced given Work Done by Gradually Applied Shear Force equation looks like with Units.

Here is how the Shear Strain Produced given Work Done by Gradually Applied Shear Force equation looks like.

0.0048 = \frac{2 \cdot 30}{0.2 \cdot 63}

0.0048 = \frac{2 \cdot 30KJ}{0.2MPa \cdot 63m³}

0.0048 = \frac{2 \cdot 30}{0.2 \cdot 63}

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Shear Strain Produced given Work Done by Gradually Applied Shear Force Solution

Follow our step by step solution on how to calculate Shear Strain Produced given Work Done by Gradually Applied Shear Force?

FIRST Step Consider the formula

𝜂 = \frac{2 \cdot w}{𝜏 \cdot V T}

Next Step Substitute values of Variables

∴

𝜂 = \frac{2 \cdot 30KJ}{0.2MPa \cdot 63m³}

Next Step Convert Units

∴

𝜂 = \frac{2 \cdot 30000J}{200000Pa \cdot 63m³}

Next Step Prepare to Evaluate

∴

𝜂 = \frac{2 \cdot 30000}{200000 \cdot 63}

Next Step Evaluate

∴

𝜂 = 0.00476190476190476

LAST Step Rounding Answer

∴

𝜂 = 0.0048

Shear Strain Produced given Work Done by Gradually Applied Shear Force Formula Elements

Variables

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.

Symbol: 𝜂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Shear Strain

Work Done by Load

Work Done by Load on a system is energy transferred to the system from its surroundings.

Symbol: w

Measurement: EnergyUnit: KJ

Note: Value can be positive or negative.

Formulas to find Work Done by Load

Shear Stress in body

Shear Stress in body is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress in body

Volume of Body

Volume of Body is the amount of space that a substance or object occupies or that is enclosed within a container.

Symbol: V_T

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Body

Other formulas in Strain Energy stored in a Body due to Shear Stress category

Go Work Done by Gradually Applied Shear Force given Average Load

w = L avg \cdot D

Go Average Load Value given Work done by Gradually Applied Shear Force

L avg = \frac{w}{D}

Go Work Done by Gradually Applied Shear Force given Shear Stress

w = \frac{𝜏^{2} \cdot V T}{2 \cdot G}

Go Work Done by Gradually Applied Shear Force given Shear Strain

w = \frac{𝜏 \cdot 𝜂 \cdot V T}{2}

How to Evaluate Shear Strain Produced given Work Done by Gradually Applied Shear Force?

Shear Strain Produced given Work Done by Gradually Applied Shear Force evaluator uses Shear Strain = (2*Work Done by Load)/(Shear Stress in body*Volume of Body) to evaluate the Shear Strain, The Shear strain Produced given work done by gradually applied shear force formula is defined as the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress. Shear Strain is denoted by 𝜂 symbol.

How to evaluate Shear Strain Produced given Work Done by Gradually Applied Shear Force using this online evaluator? To use this online evaluator for Shear Strain Produced given Work Done by Gradually Applied Shear Force, enter Work Done by Load (w), Shear Stress in body (𝜏) & Volume of Body (V_T) and hit the calculate button.

FAQs on Shear Strain Produced given Work Done by Gradually Applied Shear Force

What is the formula to find Shear Strain Produced given Work Done by Gradually Applied Shear Force?

The formula of Shear Strain Produced given Work Done by Gradually Applied Shear Force is expressed as Shear Strain = (2*Work Done by Load)/(Shear Stress in body*Volume of Body). Here is an example- 0.004762 = (2*30000)/(200000*63).

How to calculate Shear Strain Produced given Work Done by Gradually Applied Shear Force?

With Work Done by Load (w), Shear Stress in body (𝜏) & Volume of Body (V_T) we can find Shear Strain Produced given Work Done by Gradually Applied Shear Force using the formula - Shear Strain = (2*Work Done by Load)/(Shear Stress in body*Volume of Body).

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