Modulus of Elasticity with given Strain Energy Calculator

✖Length of Member is the measurement or extent of member (beam or column) from end to end.ⓘ Length of Member [L]			+10% -10%
✖The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.ⓘ Bending Moment [M]			+10% -10%
✖Strain Energy is the energy adsorption of material due to strain under an applied load. It is also equal to the work done on a specimen by an external force.ⓘ Strain Energy [U]			+10% -10%
✖Area Moment of Inertia is a moment about the centroidal axis without considering mass.ⓘ Area Moment of Inertia [I]			+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 with given Strain Energy [E]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strain Energy Formulas PDF PDF Image

Modulus of Elasticity with given Strain Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = (Length of Member*(Bending Moment^2)/(2*Strain Energy*Area Moment of Inertia))
E = (L*(M^2)/(2*U*I))
This formula uses 5 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.
Length of Member - (Measured in Meter) - Length of Member is the measurement or extent of member (beam or column) from end to end.
Bending Moment - (Measured in Newton Meter) - The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Strain Energy - (Measured in Joule) - Strain Energy is the energy adsorption of material due to strain under an applied load. It is also equal to the work done on a specimen by an external force.
Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a moment about the centroidal axis without considering mass.

STEP 1: Convert Input(s) to Base Unit

Length of Member: 3000 Millimeter --> 3 Meter (Check conversion here)
Bending Moment: 53.8 Kilonewton Meter --> 53800 Newton Meter (Check conversion here)
Strain Energy: 136.08 Newton Meter --> 136.08 Joule (Check conversion here)
Area Moment of Inertia: 0.0016 Meter⁴ --> 0.0016 Meter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (L*(M^2)/(2*U*I)) --> (3*(53800^2)/(2*136.08*0.0016))

Evaluating ... ...

E = 19940751763.6684

STEP 3: Convert Result to Output's Unit

19940751763.6684 Pascal -->19940.7517636684 Megapascal (Check conversion here)

FINAL ANSWER

19940.7517636684 ≈ 19940.75 Megapascal <-- Young's Modulus

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Strength of Materials » Strain Energy » Strain Energy in Structural Members » Modulus of Elasticity with given Strain Energy

Credits

Created by Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

Rudrani Tidke has created this Calculator and 100+ more calculators!

Verified by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has verified this Calculator and 100+ more calculators!

< Strain Energy in Structural Members Calculators

Shear Force using Strain Energy

LaTeX Go Shear Force = sqrt(2*Strain Energy*Area of Cross-Section*Modulus of Rigidity/Length of Member)

Strain Energy in Shear

LaTeX Go Strain Energy = (Shear Force^2)*Length of Member/(2*Area of Cross-Section*Modulus of Rigidity)

Length over which Deformation takes place given Strain Energy in Shear

LaTeX Go Length of Member = 2*Strain Energy*Area of Cross-Section*Modulus of Rigidity/(Shear Force^2)

Stress using Hook's Law

LaTeX Go Direct Stress = Young's Modulus*Lateral Strain

Modulus of Elasticity with given Strain Energy Formula

LaTeX Go

Young's Modulus = (Length of Member*(Bending Moment^2)/(2*Strain Energy*Area Moment of Inertia))
E = (L*(M^2)/(2*U*I))

What is a High Modulus of Elasticity?

In identical products, the higher the modulus of elasticity of the material, the greater the rigidity; doubling the modulus of elasticity doubles the rigidity of the product. The greater the rigidity of a structure, the more force must be applied to produce a given deformation.

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.

How to Calculate Modulus of Elasticity with given Strain Energy?

Modulus of Elasticity with given Strain Energy calculator uses Young's Modulus = (Length of Member*(Bending Moment^2)/(2*Strain Energy*Area Moment of Inertia)) to calculate the Young's Modulus, The Modulus of Elasticity with given Strain Energy formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it. Young's Modulus is denoted by E symbol.

How to calculate Modulus of Elasticity with given Strain Energy using this online calculator? To use this online calculator for Modulus of Elasticity with given Strain Energy, enter Length of Member (L), Bending Moment (M), Strain Energy (U) & Area Moment of Inertia (I) and hit the calculate button. Here is how the Modulus of Elasticity with given Strain Energy calculation can be explained with given input values -> 0.019941 = (3*(53800^2)/(2*136.08*0.0016)).

FAQ

What is Modulus of Elasticity with given Strain Energy?

The Modulus of Elasticity with given Strain Energy formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it and is represented as E = (L*(M^2)/(2*U*I)) or Young's Modulus = (Length of Member*(Bending Moment^2)/(2*Strain Energy*Area Moment of Inertia)). Length of Member is the measurement or extent of member (beam or column) from end to end, The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend, Strain Energy is the energy adsorption of material due to strain under an applied load. It is also equal to the work done on a specimen by an external force & Area Moment of Inertia is a moment about the centroidal axis without considering mass.

How to calculate Modulus of Elasticity with given Strain Energy?

The Modulus of Elasticity with given Strain Energy formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it is calculated using Young's Modulus = (Length of Member*(Bending Moment^2)/(2*Strain Energy*Area Moment of Inertia)). To calculate Modulus of Elasticity with given Strain Energy, you need Length of Member (L), Bending Moment (M), Strain Energy (U) & Area Moment of Inertia (I). With our tool, you need to enter the respective value for Length of Member, Bending Moment, Strain Energy & Area Moment of Inertia 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