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Strain Energy Density Formula

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The strain energy density is known as strain energy density and the area under the stress-strain curve towards the point of deformation. Check FAQs

S d = 0.5 \cdot σ \cdot ε

S_d - Strain Energy Density?σ - Principle Stress?ε - Principle Strain?

Strain Energy Density Example

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Here is how the Strain Energy Density equation looks like with Values.

Here is how the Strain Energy Density equation looks like with Units.

Here is how the Strain Energy Density equation looks like.

1176 = 0.5 \cdot 49 \cdot 48

1176 = 0.5 \cdot 49Pa \cdot 48

1176 = 0.5 \cdot 49 \cdot 48

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Strain Energy Density Solution

Follow our step by step solution on how to calculate Strain Energy Density?

FIRST Step Consider the formula

S d = 0.5 \cdot σ \cdot ε

Next Step Substitute values of Variables

∴

S d = 0.5 \cdot 49Pa \cdot 48

Next Step Prepare to Evaluate

∴

S d = 0.5 \cdot 49 \cdot 48

LAST Step Evaluate

∴

S d = 1176

Strain Energy Density Formula Elements

Variables

Strain Energy Density

The strain energy density is known as strain energy density and the area under the stress-strain curve towards the point of deformation.

Symbol: S_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Strain Energy Density

Principle Stress

The principle stress is maximum or minimum shear stress on particular plane.

Symbol: σ

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Principle Stress

Principle Strain

The Principle Strain is maximum and minimum normal strain possible for a specific point on a structural element.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Principle Strain

Other formulas in Strain Energy category

Go Strain Energy due to Pure Shear

U = 𝜏 \cdot 𝜏 \cdot \frac{V T}{2 \cdot G pa}

Go Strain Energy due to Torsion in Hollow Shaft

U = 𝜏^{2} \cdot ({d outer}^{2} + {d inner}^{2}) \cdot \frac{V}{4 \cdot G pa \cdot {d outer}^{2}}

Go Strain Energy given Applied Tension Load

U = W^{2} \cdot \frac{L}{2 \cdot A Base \cdot E}

Go Strain Energy given Moment Value

U = \frac{M b \cdot M b \cdot L}{2 \cdot e \cdot I}

How to Evaluate Strain Energy Density?

Strain Energy Density evaluator uses Strain Energy Density = 0.5*Principle Stress*Principle Strain to evaluate the Strain Energy Density, The Strain Energy Density formula is defined as the measure of the strain energy density and the area under the stress-strain curve towards the point of deformation. Strain Energy Density is denoted by S_d symbol.

How to evaluate Strain Energy Density using this online evaluator? To use this online evaluator for Strain Energy Density, enter Principle Stress (σ) & Principle Strain (ε) and hit the calculate button.

FAQs on Strain Energy Density

What is the formula to find Strain Energy Density?

The formula of Strain Energy Density is expressed as Strain Energy Density = 0.5*Principle Stress*Principle Strain. Here is an example- 1176 = 0.5*49*48.

How to calculate Strain Energy Density?

With Principle Stress (σ) & Principle Strain (ε) we can find Strain Energy Density using the formula - Strain Energy Density = 0.5*Principle Stress*Principle Strain.

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