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Strain Energy Stored in Body Formula

GoMaximum Strain Energy Stored in Body for Sudden Impact Load 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{{σ induced}^{2} \cdot V T}{2 \cdot E bar}

U_body - Strain Energy in body?σ_induced - Stress induced?V_T - Volume of Body?E_bar - Modulus of Elasticity Of Bar?

Strain Energy Stored in Body Example

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Here is how the Strain Energy Stored in Body equation looks like with Values.

Here is how the Strain Energy Stored in Body equation looks like with Units.

Here is how the Strain Energy Stored in Body equation looks like.

11454.5455 = \frac{2^{2} \cdot 63}{2 \cdot 11}

11454.5455KJ = \frac{{2MPa}^{2} \cdot 63m³}{2 \cdot 11MPa}

11454.5455 = \frac{2^{2} \cdot 63}{2 \cdot 11}

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Strain Energy Stored in Body Solution

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

FIRST Step Consider the formula

U body = \frac{{σ induced}^{2} \cdot V T}{2 \cdot E bar}

Next Step Substitute values of Variables

∴

U body = \frac{{2MPa}^{2} \cdot 63m³}{2 \cdot 11MPa}

Next Step Convert Units

∴

U body = \frac{{2E+6Pa}^{2} \cdot 63m³}{2 \cdot 1.1E+7Pa}

Next Step Prepare to Evaluate

∴

U body = \frac{{2E+6}^{2} \cdot 63}{2 \cdot 1.1E+7}

Next Step Evaluate

∴

U body = 11454545.4545455J

Next Step Convert to Output's Unit

∴

U body = 11454.5454545455KJ

LAST Step Rounding Answer

∴

U body = 11454.5455KJ

Strain Energy Stored in Body 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

Stress induced

Stress induced is the resistance developed within a body due to an external load applied.

Symbol: σ_induced

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Stress induced

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 Elasticity Of Bar

Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.

Symbol: E_bar

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Of Bar

Other Formulas to find Strain Energy in body

Go Maximum Strain Energy Stored in Body for Sudden Impact Load

U body = \frac{{σ induced}^{2} \cdot A \cdot L bar}{2 \cdot E bar}

Other formulas in Energy on Body category

Go Load Applied Suddenly using Stress Induced by Sudden Applied Load

P = \frac{σ induced \cdot A}{2}

Go Stress Induced in Body given Stored Strain Energy

σ induced = \sqrt{\frac{U body \cdot 2 \cdot E bar}{A \cdot L bar}}

Go Stress Induced in Body given Work Done by Load

σ induced = \sqrt{\frac{w \cdot 2 \cdot E bar}{V T}}

Go Work Done by Load given Induced Stress

w = \frac{{σ induced}^{2} \cdot V T}{2 \cdot E bar}

How to Evaluate Strain Energy Stored in Body?

Strain Energy Stored in Body evaluator uses Strain Energy in body = (Stress induced^2*Volume of Body)/(2*Modulus of Elasticity Of Bar) to evaluate the Strain Energy in body, The Strain Energy Stored in Body formula is defined as the equation used to determine strain energy in terms of stress-induced, volume, and modulus of elasticity. Strain Energy in body is denoted by U_body symbol.

How to evaluate Strain Energy Stored in Body using this online evaluator? To use this online evaluator for Strain Energy Stored in Body, enter Stress induced (σ_induced), Volume of Body (V_T) & Modulus of Elasticity Of Bar (E_bar) and hit the calculate button.

FAQs on Strain Energy Stored in Body

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

The formula of Strain Energy Stored in Body is expressed as Strain Energy in body = (Stress induced^2*Volume of Body)/(2*Modulus of Elasticity Of Bar). Here is an example- 11.45455 = (2000000^2*63)/(2*11000000).

How to calculate Strain Energy Stored in Body?

With Stress induced (σ_induced), Volume of Body (V_T) & Modulus of Elasticity Of Bar (E_bar) we can find Strain Energy Stored in Body using the formula - Strain Energy in body = (Stress induced^2*Volume of Body)/(2*Modulus of Elasticity Of Bar).

What are the other ways to Calculate Strain Energy in body?

Here are the different ways to Calculate Strain Energy in body-

Strain Energy in body=(Stress induced^2*Cross Sectional Area of Bar*Length of Bar)/(2*Modulus of Elasticity Of Bar)

Can the Strain Energy Stored in Body be negative?

No, the Strain Energy Stored in Body, measured in Energy cannot be negative.

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

Strain Energy Stored in Body 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 can be measured.

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Strain Energy Stored in Body Formula

​GoMaximum Strain Energy Stored in Body for Sudden Impact Load Formula

Strain Energy Stored in Body Example

Strain Energy Stored in Body Solution

Strain Energy Stored in Body Formula Elements

Other Formulas to find Strain Energy in body

Other formulas in Energy on Body category

How to Evaluate Strain Energy Stored in Body?

FAQs on Strain Energy Stored in Body

Variable Name

GoMaximum Strain Energy Stored in Body for Sudden Impact Load Formula