Elongation of bar given applied tensile load, area and length Calculator

✖The Axial Force is defined as the compression or tension force acting in a member.ⓘ Axial Force [P]			+10% -10%
✖Initial Length before the application of load.ⓘ Initial Length [l₀]			+10% -10%
✖Area of Cross-Section is the enclosed surface area, product of length and breadth.ⓘ Area of Cross-Section [A]			+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 Elongation is change in length due to subjected load.ⓘ Elongation of bar given applied tensile load, area and length [∆]

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Formula

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Elongation of bar given applied tensile load, area and length

Formula

`"∆" = "P"*"l"_{"0"}/("A"*"E")`

Example

`"339.6739mm"="10N"*"5000mm"/("6400mm²"*"0.023MPa")`

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Elongation of bar given applied tensile load, area and length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elongation = Axial Force*Initial Length/(Area of Cross-Section*Young's Modulus Bar)
∆ = P*l₀/(A*E)
This formula uses 5 Variables

Variables Used

Elongation - (Measured in Meter) - The Elongation is change in length due to subjected load.
Axial Force - (Measured in Newton) - The Axial Force is defined as the compression or tension force acting in a member.
Initial Length - (Measured in Meter) - Initial Length before the application of load.
Area of Cross-Section - (Measured in Square Meter) - Area of Cross-Section is the enclosed surface area, product of length and breadth.
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

Axial Force: 10 Newton --> 10 Newton No Conversion Required
Initial Length: 5000 Millimeter --> 5 Meter (Check conversion here)
Area of Cross-Section: 6400 Square Millimeter --> 0.0064 Square 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

∆ = P*l₀/(A*E) --> 10*5/(0.0064*23000)

Evaluating ... ...

∆ = 0.339673913043478

STEP 3: Convert Result to Output's Unit

0.339673913043478 Meter -->339.673913043478 Millimeter (Check conversion here)

FINAL ANSWER

339.673913043478 ≈ 339.6739 Millimeter <-- Elongation

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Analysis of Bar » Elongation of bar given applied tensile load, area and length

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< 2 Analysis of Bar Calculators

Elongation of bar given applied tensile load, area and length

Go Elongation = Axial Force*Initial Length/(Area of Cross-Section*Young's Modulus Bar)

Longitudinal Strain using Poisson's Ratio

Go Longitudinal Strain = -(Lateral Strain/Poisson's Ratio)

Elongation of bar given applied tensile load, area and length Formula

Elongation = Axial Force*Initial Length/(Area of Cross-Section*Young's Modulus Bar)
∆ = P*l₀/(A*E)

How is elongation measured?

Measuring material elongation due to axial force is usually carried out by a standard tensile strength test. A strip or rod with a certain length and a uniform cross-sectional area, fixed at one end, is subjected to a tensile load along the specimen's axis.

How to Calculate Elongation of bar given applied tensile load, area and length?

Elongation of bar given applied tensile load, area and length calculator uses Elongation = Axial Force*Initial Length/(Area of Cross-Section*Young's Modulus Bar) to calculate the Elongation, The Elongation of bar given applied tensile load, area and length formula is defined as the change in length of a bar when subjected to axial loading. Elongation is denoted by ∆ symbol.

How to calculate Elongation of bar given applied tensile load, area and length using this online calculator? To use this online calculator for Elongation of bar given applied tensile load, area and length, enter Axial Force (P), Initial Length (l₀), Area of Cross-Section (A) & Young's Modulus Bar (E) and hit the calculate button. Here is how the Elongation of bar given applied tensile load, area and length calculation can be explained with given input values -> 339673.9 = 10*5/(0.0064*23000).

FAQ

What is Elongation of bar given applied tensile load, area and length?

The Elongation of bar given applied tensile load, area and length formula is defined as the change in length of a bar when subjected to axial loading and is represented as ∆ = P*l₀/(A*E) or Elongation = Axial Force*Initial Length/(Area of Cross-Section*Young's Modulus Bar). The Axial Force is defined as the compression or tension force acting in a member, Initial Length before the application of load, Area of Cross-Section is the enclosed surface area, product of length and breadth & 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 bar given applied tensile load, area and length?

The Elongation of bar given applied tensile load, area and length formula is defined as the change in length of a bar when subjected to axial loading is calculated using Elongation = Axial Force*Initial Length/(Area of Cross-Section*Young's Modulus Bar). To calculate Elongation of bar given applied tensile load, area and length, you need Axial Force (P), Initial Length (l₀), Area of Cross-Section (A) & Young's Modulus Bar (E). With our tool, you need to enter the respective value for Axial Force, Initial Length, Area of Cross-Section & 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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