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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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: 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

ΔL_Bar = (w*(L_bar^2))/(2*E) --> (10*(0.25666^2))/(2*23000)

Evaluating ... ...

ΔL_Bar = 1.43205120869565E-05

STEP 3: Convert Result to Output's Unit

1.43205120869565E-05 Meter -->0.0143205120869565 Millimeter (Check conversion here)

FINAL ANSWER

0.0143205120869565 ≈ 0.014321 Millimeter <-- Increase in Bar Length

(Calculation completed in 00.026 seconds)

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

Elongation of element

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

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

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

Elongation of element Formula

LaTeX Go

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, Elongation of element formula is defined as a measure of the increase in length of a structural element, such as a bar, due to the effects of its own weight. This concept is crucial in engineering to ensure the integrity and stability of structures under load. 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 -> 14.32051 = (10*(0.25666^2))/(2*23000).

FAQ

What is Elongation of element?

Elongation of element formula is defined as a measure of the increase in length of a structural element, such as a bar, due to the effects of its own weight. This concept is crucial in engineering to ensure the integrity and stability of structures under load 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?

Elongation of element formula is defined as a measure of the increase in length of a structural element, such as a bar, due to the effects of its own weight. This concept is crucial in engineering to ensure the integrity and stability of structures under load 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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