Strain Energy Stored by Member 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%
✖Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.ⓘ Area of Cross-Section [A]			+10% -10%
✖Length of Member is the measurement or extent of member (beam or column) from end to end.ⓘ Length of Member [L]			+10% -10%

✖Strain Energy stored by Member is the energy stored in a body due to its elastic deformation.ⓘ Strain Energy Stored by Member [U_member]

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Strain Energy Stored by Member Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain Energy stored by Member = ((Direct Stress^2)/(2*Young's Modulus))*Area of Cross-Section*Length of Member
U_member = ((σ^2)/(2*E))*A*L
This formula uses 5 Variables

Variables Used

Strain Energy stored by Member - (Measured in Joule) - Strain Energy stored by Member is the energy stored in a body due to its elastic deformation.
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.
Area of Cross-Section - (Measured in Square Meter) - Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.
Length of Member - (Measured in Meter) - Length of Member is the measurement or extent of member (beam or column) from end to end.

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)
Area of Cross-Section: 5600 Square Millimeter --> 0.0056 Square Meter (Check conversion here)
Length of Member: 3000 Millimeter --> 3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_member = ((σ^2)/(2*E))*A*L --> ((26780000^2)/(2*20000000000))*0.0056*3

Evaluating ... ...

U_member = 301.210728

STEP 3: Convert Result to Output's Unit

301.210728 Joule -->301.210728 Newton Meter (Check conversion here)

FINAL ANSWER

301.210728 ≈ 301.2107 Newton Meter <-- Strain Energy stored by Member

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Coorg Institute of Technology (CIT), Coorg

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< Strain Energy stored by the Member Calculators

Modulus of Elasticity of Member given Strain Energy Stored by Member

LaTeX Go Young's Modulus = ((Direct Stress^2)*Area of Cross-Section*Length of Member)/(2*Strain Energy stored by Member)

Strain Energy Stored by Member

LaTeX Go Strain Energy stored by Member = ((Direct Stress^2)/(2*Young's Modulus))*Area of Cross-Section*Length of Member

Length of Member given Strain Energy Stored by Member

LaTeX Go Length of Member = (2*Young's Modulus*Strain Energy stored by Member)/(Area of Cross-Section*Direct Stress^2)

Area of Member given Strain Energy Stored by Member

LaTeX Go Area of Cross-Section = (2*Young's Modulus*Strain Energy stored by Member)/(Length of Member*Direct Stress^2)

Strain Energy Stored by Member Formula

LaTeX Go

Strain Energy stored by Member = ((Direct Stress^2)/(2*Young's Modulus))*Area of Cross-Section*Length of Member
U_member = ((σ^2)/(2*E))*A*L

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 by Member?

Strain Energy Stored by Member calculator uses Strain Energy stored by Member = ((Direct Stress^2)/(2*Young's Modulus))*Area of Cross-Section*Length of Member to calculate the Strain Energy stored by Member, The Strain Energy Stored by Member formula is defined as the amount of energy stored in member due to extension under pull. Strain Energy stored by Member is denoted by U_member symbol.

How to calculate Strain Energy Stored by Member using this online calculator? To use this online calculator for Strain Energy Stored by Member, enter Direct Stress (σ), Young's Modulus (E), Area of Cross-Section (A) & Length of Member (L) and hit the calculate button. Here is how the Strain Energy Stored by Member calculation can be explained with given input values -> 301.2107 = ((26780000^2)/(2*20000000000))*0.0056*3.

FAQ

What is Strain Energy Stored by Member?

The Strain Energy Stored by Member formula is defined as the amount of energy stored in member due to extension under pull and is represented as U_member = ((σ^2)/(2*E))*A*L or Strain Energy stored by Member = ((Direct Stress^2)/(2*Young's Modulus))*Area of Cross-Section*Length of Member. 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, Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area & Length of Member is the measurement or extent of member (beam or column) from end to end.

How to calculate Strain Energy Stored by Member?

The Strain Energy Stored by Member formula is defined as the amount of energy stored in member due to extension under pull is calculated using Strain Energy stored by Member = ((Direct Stress^2)/(2*Young's Modulus))*Area of Cross-Section*Length of Member. To calculate Strain Energy Stored by Member, you need Direct Stress (σ), Young's Modulus (E), Area of Cross-Section (A) & Length of Member (L). With our tool, you need to enter the respective value for Direct Stress, Young's Modulus, Area of Cross-Section & Length of Member 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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