Elongation of 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%

✖The Increase in Bar Length value is the value of the increase in length.ⓘ Elongation of element [ΔL_Bar]

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Formula

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Elongation of element

Formula

`"ΔL"_{"Bar"} = ("w"*("L"_{"bar"}^2))/(2*"E")`

Example

`"0.869565mm"=("10N/m³"*(("2000mm")^2))/(2*"0.023MPa")`

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Elongation of element Solution

STEP 0: Pre-Calculation Summary

Formula Used

Increase in Bar Length = (Weight per unit volume*(Length of Bar^2))/(2*Young's Modulus Bar)
ΔL_Bar = (w*(L_bar^2))/(2*E)
This formula uses 4 Variables

Variables Used

Increase in Bar Length - (Measured in Meter) - The Increase in Bar Length value is the value of the increase in length.
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: 2000 Millimeter --> 2 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

ΔL_Bar = (w*(L_bar^2))/(2*E) --> (10*(2^2))/(2*23000)

Evaluating ... ...

ΔL_Bar = 0.000869565217391304

STEP 3: Convert Result to Output's Unit

0.000869565217391304 Meter -->0.869565217391304 Millimeter (Check conversion here)

FINAL ANSWER

0.869565217391304 ≈ 0.869565 Millimeter <-- Increase in Bar Length

(Calculation completed in 00.004 seconds)

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

Credits

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

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< 10+ Elongation of Bar due its Own Weight Calculators

Weight of Bar given Total Elongation of Bar

Go Load = (Total Elongation*2*Modulus of Elasticity Of Bar*Cross Sectional Area of Bar)/Length of Bar

Length of Bar using Total Elongation and Weight per unit volume of bar

Go Length of Bar = sqrt((Total Elongation*2*Modulus of Elasticity Of Bar)/Weight per unit volume)

Bar's total elongation if weight given per unit volume of bar

Go Total Elongation = (Weight per unit volume*(Length of Bar^2))/(2*Modulus of Elasticity Of Bar)

Elongation of element

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

Modulus of Elasticity given Total Elongation of Bar

Go Modulus of Elasticity Of Bar = (Weight by Area*Length of Bar)/(2*Total Elongation)

Total elongation of bar

Go Total Elongation = (Weight by Area*Length of Bar)/(2*Modulus of Elasticity Of Bar)

Length of Bar given Total Elongation of Bar

Go Length of Bar = (Total Elongation*2*Modulus of Elasticity Of Bar)/Weight by Area

Weight of bar for length x

Go Weight = Weight per unit volume*Cross Sectional Area of Bar*Length of Bar

Strain in Element

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

Stress on element of rod

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

Elongation of element Formula

Increase in Bar Length = (Weight per unit volume*(Length of Bar^2))/(2*Young's Modulus Bar)
ΔL_Bar = (w*(L_bar^2))/(2*E)

How does a material elongate due to its own weight?

At any point in a vertical rod, there is stress acting due to the weight of the section below it. This stress is tensile in nature and hence, causes elongation.

How to Calculate Elongation of element?

Elongation of element calculator uses Increase in Bar Length = (Weight per unit volume*(Length of Bar^2))/(2*Young's Modulus Bar) to calculate the Increase in Bar Length, The Elongation of element can be found by dividing the product of the square of the length of rod and specific weight by twice the value of Young's modulus. Increase in Bar Length is denoted by ΔL_Bar symbol.

How to calculate Elongation of element using this online calculator? To use this online calculator for Elongation of 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 Elongation of element calculation can be explained with given input values -> 869.5652 = (10*(2^2))/(2*23000).

FAQ

What is Elongation of element?

The Elongation of element can be found by dividing the product of the square of the length of rod and specific weight by twice the value of Young's modulus and is represented as ΔL_Bar = (w*(L_bar^2))/(2*E) or Increase in Bar Length = (Weight per unit volume*(Length of Bar^2))/(2*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 Elongation of element?

The Elongation of element can be found by dividing the product of the square of the length of rod and specific weight by twice the value of Young's modulus is calculated using Increase in Bar Length = (Weight per unit volume*(Length of Bar^2))/(2*Young's Modulus Bar). To calculate Elongation of 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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