Total Strain Energy per Unit Volume Calculator

✖Strain Energy for Distortion with no volume change is defined as the energy stored in the body per unit volume due to deformation.ⓘ Strain Energy for Distortion [U_d]			+10% -10%
✖Strain Energy for Volume Change with no distortion is defined as the energy stored in the body per unit volume due to deformation.ⓘ Strain Energy for Volume Change [U_v]			+10% -10%

✖Total Strain Energy per Unit Volume is defined as the sum of strain energy corresponding to distortion with no change in volume and strain energy corresponding to volume change with no distortion.ⓘ Total Strain Energy per Unit Volume [U_Total]

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Total Strain Energy per Unit Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Strain Energy per Unit Volume = Strain Energy for Distortion+Strain Energy for Volume Change
U_Total = U_d+U_v
This formula uses 3 Variables

Variables Used

Total Strain Energy per Unit Volume - (Measured in Joule per Cubic Meter) - Total Strain Energy per Unit Volume is defined as the sum of strain energy corresponding to distortion with no change in volume and strain energy corresponding to volume change with no distortion.
Strain Energy for Distortion - (Measured in Joule per Cubic Meter) - Strain Energy for Distortion with no volume change is defined as the energy stored in the body per unit volume due to deformation.
Strain Energy for Volume Change - (Measured in Joule per Cubic Meter) - Strain Energy for Volume Change with no distortion is defined as the energy stored in the body per unit volume due to deformation.

STEP 1: Convert Input(s) to Base Unit

Strain Energy for Distortion: 15 Kilojoule per Cubic Meter --> 15000 Joule per Cubic Meter (Check conversion here)
Strain Energy for Volume Change: 16 Kilojoule per Cubic Meter --> 16000 Joule per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_Total = U_d+U_v --> 15000+16000

Evaluating ... ...

U_Total = 31000

STEP 3: Convert Result to Output's Unit

31000 Joule per Cubic Meter -->31 Kilojoule per Cubic Meter (Check conversion here)

FINAL ANSWER

31 Kilojoule per Cubic Meter <-- Total Strain Energy per Unit Volume

(Calculation completed in 00.010 seconds)

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Home » Engineering » Mechanical » Machine Design » Design Against Static Load » Theories of Failure » Distortion Energy Theory » Total Strain Energy per Unit Volume

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< Distortion Energy Theory Calculators

Stress due to Change in Volume with No Distortion

LaTeX Go Stress for Volume Change = (First Principal Stress+Second Principal Stress+Third Principal Stress)/3

Total Strain Energy per Unit Volume

LaTeX Go Total Strain Energy per Unit Volume = Strain Energy for Distortion+Strain Energy for Volume Change

Strain Energy due to Change in Volume given Volumetric Stress

LaTeX Go Strain Energy for Volume Change = 3/2*Stress for Volume Change*Strain for Volume Change

Shear Yield Strength by Maximum Distortion Energy Theory

LaTeX Go Shear Yield Strength = 0.577*Tensile Yield Strength

Total Strain Energy per Unit Volume Formula

LaTeX Go

Total Strain Energy per Unit Volume = Strain Energy for Distortion+Strain Energy for Volume Change
U_Total = U_d+U_v

What is strain energy?

Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and also the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape. It is usually denoted by U.

How to Calculate Total Strain Energy per Unit Volume?

Total Strain Energy per Unit Volume calculator uses Total Strain Energy per Unit Volume = Strain Energy for Distortion+Strain Energy for Volume Change to calculate the Total Strain Energy per Unit Volume, Total strain energy per unit volume formula is defined as the sum of strain energy corresponding to distortion with no change in volume and strain energy corresponding to volume change with no distortion. Total Strain Energy per Unit Volume is denoted by U_Total symbol.

How to calculate Total Strain Energy per Unit Volume using this online calculator? To use this online calculator for Total Strain Energy per Unit Volume, enter Strain Energy for Distortion (U_d) & Strain Energy for Volume Change (U_v) and hit the calculate button. Here is how the Total Strain Energy per Unit Volume calculation can be explained with given input values -> 3.1E-8 = 15000+16000.

FAQ

What is Total Strain Energy per Unit Volume?

Total strain energy per unit volume formula is defined as the sum of strain energy corresponding to distortion with no change in volume and strain energy corresponding to volume change with no distortion and is represented as U_Total = U_d+U_v or Total Strain Energy per Unit Volume = Strain Energy for Distortion+Strain Energy for Volume Change. Strain Energy for Distortion with no volume change is defined as the energy stored in the body per unit volume due to deformation & Strain Energy for Volume Change with no distortion is defined as the energy stored in the body per unit volume due to deformation.

How to calculate Total Strain Energy per Unit Volume?

Total strain energy per unit volume formula is defined as the sum of strain energy corresponding to distortion with no change in volume and strain energy corresponding to volume change with no distortion is calculated using Total Strain Energy per Unit Volume = Strain Energy for Distortion+Strain Energy for Volume Change. To calculate Total Strain Energy per Unit Volume, you need Strain Energy for Distortion (U_d) & Strain Energy for Volume Change (U_v). With our tool, you need to enter the respective value for Strain Energy for Distortion & Strain Energy for Volume Change 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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