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Stress Induced in Body given Stored Strain Energy Formula

GoStress Induced in Body given Work Done by Load Formula

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

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

σ_induced - Stress induced?U_body - Strain Energy in body?E_bar - Modulus of Elasticity Of Bar?A - Cross Sectional Area of Bar?L_bar - Length of Bar?

Stress Induced in Body given Stored Strain Energy Example

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

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

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

1.0488 = \sqrt{\frac{6.4 \cdot 2 \cdot 11}{64000 \cdot 2000}}

1.0488MPa = \sqrt{\frac{6.4KJ \cdot 2 \cdot 11MPa}{64000mm² \cdot 2000mm}}

1.0488 = \sqrt{\frac{6.4 \cdot 2 \cdot 11}{64000 \cdot 2000}}

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Stress Induced in Body given Stored Strain Energy Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ induced = \sqrt{\frac{6.4KJ \cdot 2 \cdot 11MPa}{64000mm² \cdot 2000mm}}

Next Step Convert Units

∴

σ induced = \sqrt{\frac{6400J \cdot 2 \cdot 1.1E+7Pa}{0.064m² \cdot 2m}}

Next Step Prepare to Evaluate

∴

σ induced = \sqrt{\frac{6400 \cdot 2 \cdot 1.1E+7}{0.064 \cdot 2}}

Next Step Evaluate

∴

σ induced = 1048808.84817015Pa

Next Step Convert to Output's Unit

∴

σ induced = 1.04880884817015MPa

LAST Step Rounding Answer

∴

σ induced = 1.0488MPa

Stress Induced in Body given Stored Strain Energy Formula Elements

Variables

Functions

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

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

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

Cross Sectional Area of Bar

Cross Sectional Area of Bar is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Bar

Length of Bar

Length Of Bar is defined as the total length of the Bar.

Symbol: L_bar

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Bar

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Stress induced

Go Stress Induced in Body given Work Done by Load

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

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 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}

Go Strain Energy Stored in Body

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

Go Work Done by Load given Induced Stress

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

How to Evaluate Stress Induced in Body given Stored Strain Energy?

Stress Induced in Body given Stored Strain Energy evaluator uses Stress induced = sqrt((Strain Energy in body*2*Modulus of Elasticity Of Bar)/(Cross Sectional Area of Bar*Length of Bar)) to evaluate the Stress induced, The Stress induced in Body given Stored Strain Energy formula is defined as the equation used to determine the value of stress-induced in terms of strain energy, modulus of elasticity, and volume of the body. Stress induced is denoted by σ_induced symbol.

How to evaluate Stress Induced in Body given Stored Strain Energy using this online evaluator? To use this online evaluator for Stress Induced in Body given Stored Strain Energy, enter Strain Energy in body (U_body), Modulus of Elasticity Of Bar (E_bar), Cross Sectional Area of Bar (A) & Length of Bar (L_bar) and hit the calculate button.

FAQs on Stress Induced in Body given Stored Strain Energy

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

The formula of Stress Induced in Body given Stored Strain Energy is expressed as Stress induced = sqrt((Strain Energy in body*2*Modulus of Elasticity Of Bar)/(Cross Sectional Area of Bar*Length of Bar)). Here is an example- 1E-6 = sqrt((6400*2*11000000)/(0.064*2)).

How to calculate Stress Induced in Body given Stored Strain Energy?

With Strain Energy in body (U_body), Modulus of Elasticity Of Bar (E_bar), Cross Sectional Area of Bar (A) & Length of Bar (L_bar) we can find Stress Induced in Body given Stored Strain Energy using the formula - Stress induced = sqrt((Strain Energy in body*2*Modulus of Elasticity Of Bar)/(Cross Sectional Area of Bar*Length of Bar)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Stress induced?

Here are the different ways to Calculate Stress induced-

Stress induced=sqrt((Work Done by Load*2*Modulus of Elasticity Of Bar)/Volume of Body)

Can the Stress Induced in Body given Stored Strain Energy be negative?

Yes, the Stress Induced in Body given Stored Strain Energy, measured in Pressure can be negative.

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

Stress Induced in Body given Stored Strain Energy is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Stress Induced in Body given Stored Strain Energy can be measured.

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Stress Induced in Body given Stored Strain Energy Formula

​GoStress Induced in Body given Work Done by Load Formula

Stress Induced in Body given Stored Strain Energy Example

Stress Induced in Body given Stored Strain Energy Solution

Stress Induced in Body given Stored Strain Energy Formula Elements

Other Formulas to find Stress induced

Other formulas in Energy on Body category

How to Evaluate Stress Induced in Body given Stored Strain Energy?

FAQs on Stress Induced in Body given Stored Strain Energy

Variable Name

GoStress Induced in Body given Work Done by Load Formula