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Work Done by Load given Induced Stress 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{{σ induced}^{2} \cdot V T}{2 \cdot E bar}

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

Work Done by Load given Induced Stress Example

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

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

Here is how the Work Done by Load given Induced Stress 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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Work Done by Load given Induced Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

w = 11454545.4545455J

Next Step Convert to Output's Unit

∴

w = 11454.5454545455KJ

LAST Step Rounding Answer

∴

w = 11454.5455KJ

Work Done by Load given Induced 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

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 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 Stress Induced in Body given Stored Strain Energy

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

Go Strain Energy Stored in Body

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

How to Evaluate Work Done by Load given Induced Stress?

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

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

FAQs on Work Done by Load given Induced Stress

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

The formula of Work Done by Load given Induced Stress is expressed as Work Done by Load = (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 Work Done by Load given Induced Stress?

With Stress induced (σ_induced), Volume of Body (V_T) & Modulus of Elasticity Of Bar (E_bar) we can find Work Done by Load given Induced Stress using the formula - Work Done by Load = (Stress induced^2*Volume of Body)/(2*Modulus of Elasticity Of Bar).

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

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

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

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

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