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Stress Induced in Body given Work Done by Load Formula

GoStress Induced in Body given Stored Strain Energy 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{w \cdot 2 \cdot E bar}{V T}}

σ_induced - Stress induced?w - Work Done by Load?E_bar - Modulus of Elasticity Of Bar?V_T - Volume of Body?

Stress Induced in Body given Work Done by Load Example

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With units

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Here is how the Stress Induced in Body given Work Done by Load equation looks like with Values.

Here is how the Stress Induced in Body given Work Done by Load equation looks like with Units.

Here is how the Stress Induced in Body given Work Done by Load equation looks like.

0.1024 = \sqrt{\frac{30 \cdot 2 \cdot 11}{63}}

0.1024MPa = \sqrt{\frac{30KJ \cdot 2 \cdot 11MPa}{63m³}}

0.1024 = \sqrt{\frac{30 \cdot 2 \cdot 11}{63}}

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Stress Induced in Body given Work Done by Load Solution

Follow our step by step solution on how to calculate Stress Induced in Body given Work Done by Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ induced = \sqrt{\frac{30KJ \cdot 2 \cdot 11MPa}{63m³}}

Next Step Convert Units

∴

σ induced = \sqrt{\frac{30000J \cdot 2 \cdot 1.1E+7Pa}{63m³}}

Next Step Prepare to Evaluate

∴

σ induced = \sqrt{\frac{30000 \cdot 2 \cdot 1.1E+7}{63}}

Next Step Evaluate

∴

σ induced = 102353.263143832Pa

Next Step Convert to Output's Unit

∴

σ induced = 0.102353263143832MPa

LAST Step Rounding Answer

∴

σ induced = 0.1024MPa

Stress Induced in Body given Work Done by Load 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

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

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

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

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 Stored Strain Energy

σ induced = \sqrt{\frac{U body \cdot 2 \cdot E bar}{A \cdot L 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 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 Work Done by Load?

Stress Induced in Body given Work Done by Load evaluator uses Stress induced = sqrt((Work Done by Load*2*Modulus of Elasticity Of Bar)/Volume of Body) to evaluate the Stress induced, The Stress Induced in Body given Work Done by Load formula is defined as the equation used to determine stress induced in a body in terms of work done, volume, and modulus of elasticity. Stress induced is denoted by σ_induced symbol.

How to evaluate Stress Induced in Body given Work Done by Load using this online evaluator? To use this online evaluator for Stress Induced in Body given Work Done by Load, enter Work Done by Load (w), Modulus of Elasticity Of Bar (E_bar) & Volume of Body (V_T) and hit the calculate button.

FAQs on Stress Induced in Body given Work Done by Load

What is the formula to find Stress Induced in Body given Work Done by Load?

The formula of Stress Induced in Body given Work Done by Load is expressed as Stress induced = sqrt((Work Done by Load*2*Modulus of Elasticity Of Bar)/Volume of Body). Here is an example- 1E-7 = sqrt((30000*2*11000000)/63).

How to calculate Stress Induced in Body given Work Done by Load?

With Work Done by Load (w), Modulus of Elasticity Of Bar (E_bar) & Volume of Body (V_T) we can find Stress Induced in Body given Work Done by Load using the formula - Stress induced = sqrt((Work Done by Load*2*Modulus of Elasticity Of Bar)/Volume of Body). 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((Strain Energy in body*2*Modulus of Elasticity Of Bar)/(Cross Sectional Area of Bar*Length of Bar))

Can the Stress Induced in Body given Work Done by Load be negative?

Yes, the Stress Induced in Body given Work Done by Load, measured in Pressure can be negative.

Which unit is used to measure Stress Induced in Body given Work Done by Load?

Stress Induced in Body given Work Done by Load 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 Work Done by Load can be measured.

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