Strain Energy Stored per Unit Volume Calculator

✖Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component.ⓘ Direct Stress [σ]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%

✖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.ⓘ Strain Energy Stored per Unit Volume [U_density]

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Strain Energy Stored per Unit Volume

Formula

`"U"_{"density"} = "σ"^2/(2*"E")`

Example

`"17929.21J/m³"=("26.78MPa")^2/(2*"20000MPa")`

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Strain Energy Stored per Unit Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain Energy Density = Direct Stress^2/(2*Young's Modulus)
U_density = σ^2/(2*E)
This formula uses 3 Variables

Variables Used

Strain Energy Density - (Measured in Joule per Cubic Meter) - 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.
Direct Stress - (Measured in Pascal) - Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component.
Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

STEP 1: Convert Input(s) to Base Unit

Direct Stress: 26.78 Megapascal --> 26780000 Pascal (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_density = σ^2/(2*E) --> 26780000^2/(2*20000000000)

Evaluating ... ...

U_density = 17929.21

STEP 3: Convert Result to Output's Unit

17929.21 Joule per Cubic Meter --> No Conversion Required

FINAL ANSWER

17929.21 Joule per Cubic Meter <-- Strain Energy Density

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 3 Strain Energy stored per unit Volume Calculators

Stress generated due to Strain Energy Stored per Unit Volume

Go Direct Stress = sqrt(Strain Energy Density*2*Young's Modulus)

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

Go Young's Modulus = (Direct Stress^2)/(2*Strain Energy Density)

Strain Energy Stored per Unit Volume

Go Strain Energy Density = Direct Stress^2/(2*Young's Modulus)

Strain Energy Stored per Unit Volume Formula

Strain Energy Density = Direct Stress^2/(2*Young's Modulus)
U_density = σ^2/(2*E)

Define Stress & Strain Energy

The stress definition in engineering says that stress is the force applied to an object divided by its cross-section area.
The strain energy is the energy stored in any body due to its deformation, also known as Resilience.

What is Eccentric Loading & Beam of Uniform Strength?

A load, whose line of action does not coincide with the axis of a column or a strut, is known as an eccentric load.
These beams have uniform cross section throughout their length. When they are loaded, there is a variation in bending moment from section to section along the length.

How to Calculate Strain Energy Stored per Unit Volume?

Strain Energy Stored per Unit Volume calculator uses Strain Energy Density = Direct Stress^2/(2*Young's Modulus) to calculate the Strain Energy Density, The Strain Energy Stored per Unit Volume formula is defined as the energy gained by the material per unit volume when the member is subjected to a pull of given stress. Strain Energy Density is denoted by U_density symbol.

How to calculate Strain Energy Stored per Unit Volume using this online calculator? To use this online calculator for Strain Energy Stored per Unit Volume, enter Direct Stress (σ) & Young's Modulus (E) and hit the calculate button. Here is how the Strain Energy Stored per Unit Volume calculation can be explained with given input values -> 17929.21 = 26780000^2/(2*20000000000).

FAQ

What is Strain Energy Stored per Unit Volume?

The Strain Energy Stored per Unit Volume formula is defined as the energy gained by the material per unit volume when the member is subjected to a pull of given stress and is represented as U_density = σ^2/(2*E) or Strain Energy Density = Direct Stress^2/(2*Young's Modulus). Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component & Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

How to calculate Strain Energy Stored per Unit Volume?

The Strain Energy Stored per Unit Volume formula is defined as the energy gained by the material per unit volume when the member is subjected to a pull of given stress is calculated using Strain Energy Density = Direct Stress^2/(2*Young's Modulus). To calculate Strain Energy Stored per Unit Volume, you need Direct Stress (σ) & Young's Modulus (E). With our tool, you need to enter the respective value for Direct Stress & Young's Modulus 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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