Area of Member given Strain Energy Stored by Member Calculator

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

✖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 Member given Strain Energy Stored by Member [A]

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Area of Member given Strain Energy Stored by Member Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
Length of Member - (Measured in Meter) - Length of Member is the measurement or extent of member (beam or column) from end to end.
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.

STEP 1: Convert Input(s) to Base Unit

Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Strain Energy stored by Member: 301.2107 Newton Meter --> 301.2107 Joule (Check conversion here)
Length of Member: 3000 Millimeter --> 3 Meter (Check conversion here)
Direct Stress: 26.78 Megapascal --> 26780000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (2*E*U_member)/(L*σ^2) --> (2*20000000000*301.2107)/(3*26780000^2)

Evaluating ... ...

A = 0.00559999947943421

STEP 3: Convert Result to Output's Unit

0.00559999947943421 Square Meter -->5599.99947943421 Square Millimeter (Check conversion here)

FINAL ANSWER

5599.99947943421 ≈ 5599.999 Square Millimeter <-- Area of Cross-Section

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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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)

Area of Member given Strain Energy Stored by Member Formula

LaTeX Go

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

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 Area of Member given Strain Energy Stored by Member?

Area of Member given Strain Energy Stored by Member calculator uses Area of Cross-Section = (2*Young's Modulus*Strain Energy stored by Member)/(Length of Member*Direct Stress^2) to calculate the Area of Cross-Section, The Area of Member given Strain Energy Stored by Member formula is defined as an area of a member before the application of pull. Area of Cross-Section is denoted by A symbol.

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

FAQ

What is Area of Member given Strain Energy Stored by Member?

The Area of Member given Strain Energy Stored by Member formula is defined as an area of a member before the application of pull and is represented as A = (2*E*U_member)/(L*σ^2) or Area of Cross-Section = (2*Young's Modulus*Strain Energy stored by Member)/(Length of Member*Direct Stress^2). Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Strain Energy stored by Member is the energy stored in a body due to its elastic deformation, Length of Member is the measurement or extent of member (beam or column) from end to end & Direct Stress is the stress developed due to force applied which is parallel or collinear to the axis of the component.

How to calculate Area of Member given Strain Energy Stored by Member?

The Area of Member given Strain Energy Stored by Member formula is defined as an area of a member before the application of pull is calculated using Area of Cross-Section = (2*Young's Modulus*Strain Energy stored by Member)/(Length of Member*Direct Stress^2). To calculate Area of Member given Strain Energy Stored by Member, you need Young's Modulus (E), Strain Energy stored by Member (U_member), Length of Member (L) & Direct Stress (σ). With our tool, you need to enter the respective value for Young's Modulus, Strain Energy stored by Member, Length of Member & Direct Stress 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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