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Work Done by Gradually Applied Shear Force given Shear Strain Formula

GoWork Done by Gradually Applied Shear Force given Average Load Formula

GoWork Done by Gradually Applied Shear Force given Shear Stress Formula

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

w = \frac{𝜏 \cdot 𝜂 \cdot V T}{2}

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

Work Done by Gradually Applied Shear Force given Shear Strain Example

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

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

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

11025 = \frac{0.2 \cdot 1.75 \cdot 63}{2}

11025KJ = \frac{0.2MPa \cdot 1.75 \cdot 63m³}{2}

11025 = \frac{0.2 \cdot 1.75 \cdot 63}{2}

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Work Done by Gradually Applied Shear Force given Shear Strain Solution

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

FIRST Step Consider the formula

w = \frac{𝜏 \cdot 𝜂 \cdot V T}{2}

Next Step Substitute values of Variables

∴

w = \frac{0.2MPa \cdot 1.75 \cdot 63m³}{2}

Next Step Convert Units

∴

w = \frac{200000Pa \cdot 1.75 \cdot 63m³}{2}

Next Step Prepare to Evaluate

∴

w = \frac{200000 \cdot 1.75 \cdot 63}{2}

Next Step Evaluate

∴

w = 11025000J

LAST Step Convert to Output's Unit

∴

w = 11025KJ

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

Variables

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

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

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 to find Work Done by Load

Go Work Done by Gradually Applied Shear Force given Average Load

w = L avg \cdot D

Go Work Done by Gradually Applied Shear Force given Shear Stress

w = \frac{𝜏^{2} \cdot V T}{2 \cdot G}

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

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

L avg = \frac{w}{D}

Go Shear Stress Produced given Work Done by Gradually Applied Shear Force

𝜏 = \sqrt{\frac{2 \cdot G \cdot w}{V T}}

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

𝜂 = \frac{2 \cdot w}{𝜏 \cdot V T}

Go Strain Energy Stored in Body due to Shear Stress

U body = \frac{𝜏^{2} \cdot V T}{2 \cdot G}

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

Work Done by Gradually Applied Shear Force given Shear Strain evaluator uses Work Done by Load = (Shear Stress in body*Shear Strain*Volume of Body)/2 to evaluate the Work Done by Load, The Work Done by Gradually Applied Shear Force given Shear Strain formula is defined as measure of energy transfer that occurs when an object is moved over a distance by an external force. Work Done by Load is denoted by w symbol.

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

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

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

The formula of Work Done by Gradually Applied Shear Force given Shear Strain is expressed as Work Done by Load = (Shear Stress in body*Shear Strain*Volume of Body)/2. Here is an example- 11.025 = (200000*1.75*63)/2.

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

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

What are the other ways to Calculate Work Done by Load?

Here are the different ways to Calculate Work Done by Load-

Work Done by Load=Average Load*Distance moved by top face
Work Done by Load=(Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar)

Can the Work Done by Gradually Applied Shear Force given Shear Strain be negative?

Yes, the Work Done by Gradually Applied Shear Force given Shear Strain, measured in Energy can be negative.

Which unit is used to measure Work Done by Gradually Applied Shear Force given Shear Strain?

Work Done by Gradually Applied Shear Force given Shear Strain is usually measured using the Kilojoule[KJ] for Energy. Joule[KJ], Gigajoule[KJ], Megajoule[KJ] are the few other units in which Work Done by Gradually Applied Shear Force given Shear Strain can be measured.

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