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Strain Energy Stored in Body due to Shear Stress Formula

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Strain Energy in body is defined as the energy stored in a body due to deformation. Check FAQs

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

U_body - Strain Energy in body?𝜏 - Shear Stress in body?V_T - Volume of Body?G - Modulus of rigidity Of Bar?

Strain Energy Stored in Body due to Shear Stress Example

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Here is how the Strain Energy Stored in Body due to Shear Stress equation looks like with Values.

Here is how the Strain Energy Stored in Body due to Shear Stress equation looks like with Units.

Here is how the Strain Energy Stored in Body due to 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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Strain Energy Stored in Body due to Shear Stress Solution

Follow our step by step solution on how to calculate Strain Energy Stored in Body due to Shear Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

U body = 84000J

LAST Step Convert to Output's Unit

∴

U body = 84KJ

Strain Energy Stored in Body due to Shear Stress Formula Elements

Variables

Strain Energy in body

Strain Energy in body is defined as the energy stored in a body due to deformation.

Symbol: U_body

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Strain Energy in body

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 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 Strain Energy Stored in Body due to Shear Stress?

Strain Energy Stored in Body due to Shear Stress evaluator uses Strain Energy in body = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar) to evaluate the Strain Energy in body, The Strain energy stored in body due to shear stress formula is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. Strain Energy in body is denoted by U_body symbol.

How to evaluate Strain Energy Stored in Body due to Shear Stress using this online evaluator? To use this online evaluator for Strain Energy Stored in Body due to 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 Strain Energy Stored in Body due to Shear Stress

What is the formula to find Strain Energy Stored in Body due to Shear Stress?

The formula of Strain Energy Stored in Body due to Shear Stress is expressed as Strain Energy in body = (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 Strain Energy Stored in Body due to Shear Stress?

With Shear Stress in body (𝜏), Volume of Body (V_T) & Modulus of rigidity Of Bar (G) we can find Strain Energy Stored in Body due to Shear Stress using the formula - Strain Energy in body = (Shear Stress in body^2*Volume of Body)/(2*Modulus of rigidity Of Bar).

Can the Strain Energy Stored in Body due to Shear Stress be negative?

No, the Strain Energy Stored in Body due to Shear Stress, measured in Energy cannot be negative.

Which unit is used to measure Strain Energy Stored in Body due to Shear Stress?

Strain Energy Stored in Body due to Shear Stress is usually measured using the Kilojoule[KJ] for Energy. Joule[KJ], Gigajoule[KJ], Megajoule[KJ] are the few other units in which Strain Energy Stored in Body due to Shear Stress can be measured.

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Strain Energy Stored in Body due to Shear Stress Formula

Strain Energy Stored in Body due to Shear Stress Example

Strain Energy Stored in Body due to Shear Stress Solution

Strain Energy Stored in Body due to Shear Stress Formula Elements

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

How to Evaluate Strain Energy Stored in Body due to Shear Stress?

FAQs on Strain Energy Stored in Body due to Shear Stress

Variable Name