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Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume Formula

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Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. Check FAQs

E = \frac{σ^{2}}{2 \cdot U density}

E - Young's Modulus?σ - Direct Stress?U_density - Strain Energy Density?

Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume Example

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Here is how the Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume equation looks like with Values.

Here is how the Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume equation looks like with Units.

Here is how the Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume equation looks like.

20000 = \frac{{26.78}^{2}}{2 \cdot 17929.21}

20000MPa = \frac{{26.78MPa}^{2}}{2 \cdot 17929.21J/m³}

20000 = \frac{{26.78}^{2}}{2 \cdot 17929.21}

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Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume Solution

Follow our step by step solution on how to calculate Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume?

FIRST Step Consider the formula

E = \frac{σ^{2}}{2 \cdot U density}

Next Step Substitute values of Variables

∴

E = \frac{{26.78MPa}^{2}}{2 \cdot 17929.21J/m³}

Next Step Convert Units

∴

E = \frac{{2.7E+7Pa}^{2}}{2 \cdot 17929.21J/m³}

Next Step Prepare to Evaluate

∴

E = \frac{{2.7E+7}^{2}}{2 \cdot 17929.21}

Next Step Evaluate

∴

E = 20000000000Pa

LAST Step Convert to Output's Unit

∴

E = 20000MPa

Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume Formula Elements

Variables

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Young's Modulus

Direct Stress

Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component.

Symbol: σ

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Direct Stress

Strain Energy Density

Strain Energy Density is the energy dissipated per unit volume during the strain-hardening process, is equal to the area enclosed by the ascending branch of the stress-strain curve.

Symbol: U_density

Measurement: Energy DensityUnit: J/m³

Note: Value should be greater than 0.

Formulas to find Strain Energy Density

Other formulas in Strain Energy stored per unit Volume category

Go Strain Energy Stored per Unit Volume

U density = \frac{σ^{2}}{2 \cdot E}

Go Stress generated due to Strain Energy Stored per Unit Volume

σ = \sqrt{U density \cdot 2 \cdot E}

How to Evaluate Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume?

Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume evaluator uses Young's Modulus = (Direct Stress^2)/(2*Strain Energy Density) to evaluate the Young's Modulus, The Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume formula is defined as the modulus of elasticity of material in which strain energy is gained. Young's Modulus is denoted by E symbol.

How to evaluate Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume using this online evaluator? To use this online evaluator for Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume, enter Direct Stress (σ) & Strain Energy Density (U_density) and hit the calculate button.

FAQs on Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume

What is the formula to find Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume?

The formula of Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume is expressed as Young's Modulus = (Direct Stress^2)/(2*Strain Energy Density). Here is an example- 0.02 = (26780000^2)/(2*17929.21).

How to calculate Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume?

With Direct Stress (σ) & Strain Energy Density (U_density) we can find Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume using the formula - Young's Modulus = (Direct Stress^2)/(2*Strain Energy Density).

Can the Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume be negative?

Yes, the Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume, measured in Stress can be negative.

Which unit is used to measure Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume?

Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume can be measured.

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