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Stress generated due to Strain Energy Stored per Unit Volume Formula

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

σ = \sqrt{U density \cdot 2 \cdot E}

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

Stress generated due to Strain Energy Stored per Unit Volume Example

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Here is how the Stress generated due to Strain Energy Stored per Unit Volume equation looks like with Values.

Here is how the Stress generated due to Strain Energy Stored per Unit Volume equation looks like with Units.

Here is how the Stress generated due to Strain Energy Stored per Unit Volume equation looks like.

26.78 = \sqrt{17929.21 \cdot 2 \cdot 20000}

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

26.78 = \sqrt{17929.21 \cdot 2 \cdot 20000}

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Stress generated due to Strain Energy Stored per Unit Volume Solution

Follow our step by step solution on how to calculate Stress generated due to Strain Energy Stored per Unit Volume?

FIRST Step Consider the formula

σ = \sqrt{U density \cdot 2 \cdot E}

Next Step Substitute values of Variables

∴

σ = \sqrt{17929.21J/m³ \cdot 2 \cdot 20000MPa}

Next Step Convert Units

∴

σ = \sqrt{17929.21J/m³ \cdot 2 \cdot 2E+10Pa}

Next Step Prepare to Evaluate

∴

σ = \sqrt{17929.21 \cdot 2 \cdot 2E+10}

Next Step Evaluate

∴

σ = 26780000Pa

LAST Step Convert to Output's Unit

∴

σ = 26.78MPa

Stress generated due to Strain Energy Stored per Unit Volume Formula Elements

Variables

Functions

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

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

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 in Strain Energy stored per unit Volume category

Go Strain Energy Stored per Unit Volume

U density = \frac{σ^{2}}{2 \cdot E}

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

E = \frac{σ^{2}}{2 \cdot U density}

How to Evaluate Stress generated due to Strain Energy Stored per Unit Volume?

Stress generated due to Strain Energy Stored per Unit Volume evaluator uses Direct Stress = sqrt(Strain Energy Density*2*Young's Modulus) to evaluate the Direct Stress, The Stress generated due to Strain Energy Stored per Unit Volume formula is defined as the stress developed when the member is observed to gain the given strain energy per unit volume. Direct Stress is denoted by σ symbol.

How to evaluate Stress generated due to Strain Energy Stored per Unit Volume using this online evaluator? To use this online evaluator for Stress generated due to Strain Energy Stored per Unit Volume, enter Strain Energy Density (U_density) & Young's Modulus (E) and hit the calculate button.

FAQs on Stress generated due to Strain Energy Stored per Unit Volume

What is the formula to find Stress generated due to Strain Energy Stored per Unit Volume?

The formula of Stress generated due to Strain Energy Stored per Unit Volume is expressed as Direct Stress = sqrt(Strain Energy Density*2*Young's Modulus). Here is an example- 2.7E-5 = sqrt(17929.21*2*20000000000).

How to calculate Stress generated due to Strain Energy Stored per Unit Volume?

With Strain Energy Density (U_density) & Young's Modulus (E) we can find Stress generated due to Strain Energy Stored per Unit Volume using the formula - Direct Stress = sqrt(Strain Energy Density*2*Young's Modulus). This formula also uses Square Root (sqrt) function(s).

Can the Stress generated due to Strain Energy Stored per Unit Volume be negative?

Yes, the Stress generated due to Strain Energy Stored per Unit Volume, measured in Stress can be negative.

Which unit is used to measure Stress generated due to Strain Energy Stored per Unit Volume?

Stress generated due to 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 Stress generated due to Strain Energy Stored per Unit Volume can be measured.

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