Stress generated due to Strain Energy Stored per Unit Volume Calculator

✖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.ⓘ Young's Modulus [E]			+10% -10%

✖Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component.ⓘ Stress generated due to Strain Energy Stored per Unit Volume [σ]

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Stress generated due to Strain Energy Stored per Unit Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Direct Stress = sqrt(Strain Energy Density*2*Young's Modulus)
σ = sqrt(U_density*2*E)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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

Strain Energy Density: 17929.21 Joule per Cubic Meter --> 17929.21 Joule per Cubic Meter No Conversion Required
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ = sqrt(U_density*2*E) --> sqrt(17929.21*2*20000000000)

Evaluating ... ...

σ = 26780000

STEP 3: Convert Result to Output's Unit

26780000 Pascal -->26.78 Megapascal (Check conversion here)

FINAL ANSWER

26.78 Megapascal <-- Direct Stress

(Calculation completed in 00.008 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Strain Energy stored per unit Volume Calculators

Stress generated due to Strain Energy Stored per Unit Volume

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

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

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

Strain Energy Stored per Unit Volume

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

Stress generated due to Strain Energy Stored per Unit Volume Formula

LaTeX Go

Direct Stress = sqrt(Strain Energy Density*2*Young's Modulus)
σ = sqrt(U_density*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 Stress generated due to Strain Energy Stored per Unit Volume?

Stress generated due to Strain Energy Stored per Unit Volume calculator uses Direct Stress = sqrt(Strain Energy Density*2*Young's Modulus) to calculate the Direct Stress, The Stress generated due to Strain Energy Stored per Unit Volume formula is defined as the stress developed when the member is observed to gain the given strain energy per unit volume. Direct Stress is denoted by σ symbol.

How to calculate Stress generated due to Strain Energy Stored per Unit Volume using this online calculator? To use this online calculator for Stress generated due to Strain Energy Stored per Unit Volume, enter Strain Energy Density (U_density) & Young's Modulus (E) and hit the calculate button. Here is how the Stress generated due to Strain Energy Stored per Unit Volume calculation can be explained with given input values -> 2.7E-5 = sqrt(17929.21*2*20000000000).

FAQ

What is Stress generated due to Strain Energy Stored per Unit Volume?

The Stress generated due to Strain Energy Stored per Unit Volume formula is defined as the stress developed when the member is observed to gain the given strain energy per unit volume and is represented as σ = sqrt(U_density*2*E) or Direct Stress = sqrt(Strain Energy Density*2*Young's Modulus). 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 & 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 Stress generated due to Strain Energy Stored per Unit Volume?

The Stress generated due to Strain Energy Stored per Unit Volume formula is defined as the stress developed when the member is observed to gain the given strain energy per unit volume is calculated using Direct Stress = sqrt(Strain Energy Density*2*Young's Modulus). To calculate Stress generated due to Strain Energy Stored per Unit Volume, you need Strain Energy Density (U_density) & Young's Modulus (E). With our tool, you need to enter the respective value for Strain Energy Density & 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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