Strain Energy Density Calculator

✖The principle stress is maximum or minimum shear stress on particular plane.ⓘ Principle Stress [σ]			+10% -10%
✖The Principle Strain is maximum and minimum normal strain possible for a specific point on a structural element.ⓘ Principle Strain [ε]			+10% -10%

✖The strain energy density is known as strain energy density and the area under the stress-strain curve towards the point of deformation.ⓘ Strain Energy Density [S_d]

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Strain Energy Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain Energy Density = 0.5*Principle Stress*Principle Strain
S_d = 0.5*σ*ε
This formula uses 3 Variables

Variables Used

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.
Principle Stress - (Measured in Pascal) - The principle stress is maximum or minimum shear stress on particular plane.
Principle Strain - The Principle Strain is maximum and minimum normal strain possible for a specific point on a structural element.

STEP 1: Convert Input(s) to Base Unit

Principle Stress: 49 Pascal --> 49 Pascal No Conversion Required
Principle Strain: 48 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_d = 0.5*σ*ε --> 0.5*49*48

Evaluating ... ...

S_d = 1176

STEP 3: Convert Result to Output's Unit

1176 --> No Conversion Required

FINAL ANSWER

1176 <-- Strain Energy Density

(Calculation completed in 00.005 seconds)

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Home » Engineering » Mechanical » Strength of Materials » Strain » Strain Energy » Strain Energy Density

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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< Strain Energy Calculators

Strain Energy due to Torsion in Hollow Shaft

LaTeX Go Strain Energy = Shear Stress^(2)*(Outer Diameter of Shaft^(2)+Inner Diameter of Shaft^(2))*Volume of Shaft/(4*Shear Modulus*Outer Diameter of Shaft^(2))

Strain Energy given Moment Value

LaTeX Go Strain Energy = (Bending Moment*Bending Moment*Length)/(2*Elastic Modulus*Moment of Inertia)

Strain Energy due to Pure Shear

LaTeX Go Strain Energy = Shear Stress*Shear Stress*Volume/(2*Shear Modulus)

Strain Energy given Applied Tension Load

LaTeX Go Strain Energy = Load^2*Length/(2*Area of Base*Young's Modulus)

Strain Energy Density Formula

LaTeX Go

Strain Energy Density = 0.5*Principle Stress*Principle Strain
S_d = 0.5*σ*ε

What is Strain Energy Density?

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

How to Calculate Strain Energy Density?

Strain Energy Density calculator uses Strain Energy Density = 0.5*Principle Stress*Principle Strain to calculate 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 calculate Strain Energy Density using this online calculator? To use this online calculator for Strain Energy Density, enter Principle Stress (σ) & Principle Strain (ε) and hit the calculate button. Here is how the Strain Energy Density calculation can be explained with given input values -> 1176 = 0.5*49*48.

FAQ

What is 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 and is represented as S_d = 0.5*σ*ε or Strain Energy Density = 0.5*Principle Stress*Principle Strain. The principle stress is maximum or minimum shear stress on particular plane & The Principle Strain is maximum and minimum normal strain possible for a specific point on a structural element.

How to calculate 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 is calculated using Strain Energy Density = 0.5*Principle Stress*Principle Strain. To calculate Strain Energy Density, you need Principle Stress (σ) & Principle Strain (ε). With our tool, you need to enter the respective value for Principle Stress & Principle Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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