Strain in Element Calculator

✖Weight per unit volume is the ratio of weight of a body to its volume.ⓘ Weight per unit volume [w]			+10% -10%
✖Length of Bar is defined as the total length of the Bar.ⓘ Length of Bar [L_bar]			+10% -10%
✖Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus Bar [E]			+10% -10%

✖Strain is simply the measure of how much an object is stretched or deformed.ⓘ Strain in Element [ε]

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Strain in Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain = (Weight per unit volume*Length of Bar)/Young's Modulus Bar
ε = (w*L_bar)/E
This formula uses 4 Variables

Variables Used

Strain - Strain is simply the measure of how much an object is stretched or deformed.
Weight per unit volume - (Measured in Newton per Cubic Meter) - Weight per unit volume is the ratio of weight of a body to its volume.
Length of Bar - (Measured in Meter) - Length of Bar is defined as the total length of the Bar.
Young's Modulus Bar - (Measured in Pascal) - Young's Modulus Bar 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

Weight per unit volume: 10 Newton per Cubic Meter --> 10 Newton per Cubic Meter No Conversion Required
Length of Bar: 256.66 Millimeter --> 0.25666 Meter (Check conversion here)
Young's Modulus Bar: 0.023 Megapascal --> 23000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε = (w*L_bar)/E --> (10*0.25666)/23000

Evaluating ... ...

ε = 0.000111591304347826

STEP 3: Convert Result to Output's Unit

0.000111591304347826 --> No Conversion Required

FINAL ANSWER

0.000111591304347826 ≈ 0.000112 <-- Strain

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Analysis of Bar » Mechanical » Elongation of Bar due its Own Weight » Strain in Element

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Elongation of Bar due its Own Weight Calculators

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LaTeX Go Increase in Bar Length = (Weight per unit volume*(Length of Bar^2))/(2*Young's Modulus Bar)

Weight of bar for length x

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Strain in Element

LaTeX Go Strain = (Weight per unit volume*Length of Bar)/Young's Modulus Bar

Stress on element of rod

LaTeX Go Stress in Bar = Weight per unit volume*Length of Bar

Strain in Element Formula

LaTeX Go

Strain = (Weight per unit volume*Length of Bar)/Young's Modulus Bar
ε = (w*L_bar)/E

What is the strain at height x of a vertical rod?

The strain at a height x of a vertical road is due to the stress created by the weight of the section below it. Using the proportionality equation between the stress and strain, we can find out the value of strain.

How to Calculate Strain in Element?

Strain in Element calculator uses Strain = (Weight per unit volume*Length of Bar)/Young's Modulus Bar to calculate the Strain, Strain in Element formula is defined as a measure of the deformation experienced by a material when subjected to stress, specifically due to its own weight. It quantifies how much a material elongates relative to its original length, providing insights into its mechanical properties and behavior under load. Strain is denoted by ε symbol.

How to calculate Strain in Element using this online calculator? To use this online calculator for Strain in Element, enter Weight per unit volume (w), Length of Bar (L_bar) & Young's Modulus Bar (E) and hit the calculate button. Here is how the Strain in Element calculation can be explained with given input values -> 0.000112 = (10*0.25666)/23000.

FAQ

What is Strain in Element?

Strain in Element formula is defined as a measure of the deformation experienced by a material when subjected to stress, specifically due to its own weight. It quantifies how much a material elongates relative to its original length, providing insights into its mechanical properties and behavior under load and is represented as ε = (w*L_bar)/E or Strain = (Weight per unit volume*Length of Bar)/Young's Modulus Bar. Weight per unit volume is the ratio of weight of a body to its volume, Length of Bar is defined as the total length of the Bar & Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

How to calculate Strain in Element?

Strain in Element formula is defined as a measure of the deformation experienced by a material when subjected to stress, specifically due to its own weight. It quantifies how much a material elongates relative to its original length, providing insights into its mechanical properties and behavior under load is calculated using Strain = (Weight per unit volume*Length of Bar)/Young's Modulus Bar. To calculate Strain in Element, you need Weight per unit volume (w), Length of Bar (L_bar) & Young's Modulus Bar (E). With our tool, you need to enter the respective value for Weight per unit volume, Length of Bar & Young's Modulus Bar 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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