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Work Done by Gradually Applied Shear Force given Shear Stress Formula

GoWork Done by Gradually Applied Shear Force given Average Load Formula

GoWork Done by Gradually Applied Shear Force given Shear Strain 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^{2} \cdot V T}{2 \cdot G}

w - Work Done by Load?𝜏 - Shear Stress in body?V_T - Volume of Body?G - Modulus of rigidity Of Bar?

Work Done by Gradually Applied Shear Force given Shear Stress Example

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

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

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

84 = \frac{{0.2}^{2} \cdot 63}{2 \cdot 15}

84KJ = \frac{{0.2MPa}^{2} \cdot 63m³}{2 \cdot 15MPa}

84 = \frac{{0.2}^{2} \cdot 63}{2 \cdot 15}

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Strength of Materials » fx Work Done by Gradually Applied Shear Force given Shear Stress

Work Done by Gradually Applied Shear Force given Shear Stress Solution

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

FIRST Step Consider the formula

w = \frac{𝜏^{2} \cdot V T}{2 \cdot G}

Next Step Substitute values of Variables

∴

w = \frac{{0.2MPa}^{2} \cdot 63m³}{2 \cdot 15MPa}

Next Step Convert Units

∴

w = \frac{{200000Pa}^{2} \cdot 63m³}{2 \cdot 1.5E+7Pa}

Next Step Prepare to Evaluate

∴

w = \frac{200000^{2} \cdot 63}{2 \cdot 1.5E+7}

Next Step Evaluate

∴

w = 84000J

LAST Step Convert to Output's Unit

∴

w = 84KJ

Work Done by Gradually Applied Shear Force given Shear Stress 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

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

Modulus of rigidity Of Bar

Modulus of rigidity of Bar is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of rigidity Of Bar

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 Strain

w = \frac{𝜏 \cdot 𝜂 \cdot V T}{2}

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 Stress?

Work Done by Gradually Applied Shear Force given Shear Stress evaluator uses Work Done by Load = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar) to evaluate the Work Done by Load, The Work done by gradually applied shear force given shear stress 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 Stress using this online evaluator? To use this online evaluator for Work Done by Gradually Applied Shear Force given Shear Stress, enter Shear Stress in body (𝜏), Volume of Body (V_T) & Modulus of rigidity Of Bar (G) and hit the calculate button.

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

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

The formula of Work Done by Gradually Applied Shear Force given Shear Stress is expressed as Work Done by Load = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar). Here is an example- 0.084 = (200000^2*63)/(2*15000000).

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

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

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*Shear Strain*Volume of Body)/2

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

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

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

Work Done by Gradually Applied Shear Force given Shear Stress 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 Stress can be measured.

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Work Done by Gradually Applied Shear Force given Shear Stress Formula

​GoWork Done by Gradually Applied Shear Force given Average Load Formula

​GoWork Done by Gradually Applied Shear Force given Shear Strain Formula

Work Done by Gradually Applied Shear Force given Shear Stress Example

Work Done by Gradually Applied Shear Force given Shear Stress Solution

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

Other Formulas to find Work Done by Load

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

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

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

Variable Name

GoWork Done by Gradually Applied Shear Force given Average Load Formula

GoWork Done by Gradually Applied Shear Force given Shear Strain Formula