Modulus of Elasticity of Member with known 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%
✖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 Density [U_density]			+10% -10%

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume [E]

⎘ Copy

👎

Formula

✖

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

Formula

`"E" = ("σ"^2)/(2*"U"_{"density"})`

Example

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

Calculator

LaTeX

Reset

👍

Download Strain Energy Formulas PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Direct Stress: 26.78 Megapascal --> 26780000 Pascal (Check conversion here)
Strain Energy Density: 17929.21 Joule per Cubic Meter --> 17929.21 Joule per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (σ^2)/(2*U_density) --> (26780000^2)/(2*17929.21)

Evaluating ... ...

E = 20000000000

STEP 3: Convert Result to Output's Unit

20000000000 Pascal -->20000 Megapascal (Check conversion here)

FINAL ANSWER

20000 Megapascal <-- Young's Modulus

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Strength of Materials » Strain Energy » Strain Energy stored per unit Volume » Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has verified this Calculator and 600+ 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)

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

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

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

Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume calculator uses Young's Modulus = (Direct Stress^2)/(2*Strain Energy Density) to calculate the Young's Modulus, The Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume formula is defined as the modulus of elasticity of material in which strain energy is gained. Young's Modulus is denoted by E symbol.

How to calculate Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume using this online calculator? To use this online calculator for Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume, enter Direct Stress (σ) & Strain Energy Density (U_density) and hit the calculate button. Here is how the Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume calculation can be explained with given input values -> 0.02 = (26780000^2)/(2*17929.21).

FAQ

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

The Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume formula is defined as the modulus of elasticity of material in which strain energy is gained and is represented as E = (σ^2)/(2*U_density) or Young's Modulus = (Direct Stress^2)/(2*Strain Energy Density). Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component & 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.

How to calculate Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume?

The Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume formula is defined as the modulus of elasticity of material in which strain energy is gained is calculated using Young's Modulus = (Direct Stress^2)/(2*Strain Energy Density). To calculate Modulus of Elasticity of Member with known Strain Energy Stored per Unit Volume, you need Direct Stress (σ) & Strain Energy Density (U_density). With our tool, you need to enter the respective value for Direct Stress & Strain Energy Density and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search