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

STEP 0: Pre-Calculation Summary
Formula Used
Elongation = Axial Force*Original Length/(Area of Cross-Section*Young's Modulus Bar)
= P*L0/(Acs*E)
This formula uses 5 Variables
Variables Used
Elongation - (Measured in Meter) - The Elongation refers to the 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.
Original Length - (Measured in Meter) - The Original Length refers to the material refers to its initial size or dimension before any external forces are applied.
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
Original 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/(Acs*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 00.020 seconds)

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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Strain in Bar Calculators

Area of upper end of bar
​ LaTeX ​ Go Area of Upper End = Area of The Lower End*e^(Weight per unit volume*Length of Bar/Stress in Bar)
Area of lower end of bar
​ LaTeX ​ Go Area of The Lower End = Area of Upper End/e^(Weight per unit volume*Length of Bar/Stress in Bar)
Elongation of bar given applied tensile load, area and length
​ LaTeX ​ Go Elongation = Axial Force*Original Length/(Area of Cross-Section*Young's Modulus Bar)
Longitudinal Strain using Poisson's Ratio
​ LaTeX ​ Go Longitudinal Strain = -(Lateral Strain/Poisson's Ratio)

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

​LaTeX ​Go
Elongation = Axial Force*Original Length/(Area of Cross-Section*Young's Modulus Bar)
= P*L0/(Acs*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*Original Length/(Area of Cross-Section*Young's Modulus Bar) to calculate the Elongation, Elongation of bar given applied tensile load, area and length formula is defined as a measure of the increase in length of a material when subjected to a tensile force. It helps in understanding how materials deform under stress, which is crucial in engineering and material science. 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), Original Length (L0), Area of Cross-Section (Acs) & 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?
Elongation of bar given applied tensile load, area and length formula is defined as a measure of the increase in length of a material when subjected to a tensile force. It helps in understanding how materials deform under stress, which is crucial in engineering and material science and is represented as ∆ = P*L0/(Acs*E) or Elongation = Axial Force*Original Length/(Area of Cross-Section*Young's Modulus Bar). The Axial Force is defined as the compression or tension force acting in a member, The Original Length refers to the material refers to its initial size or dimension before any external forces are applied, 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?
Elongation of bar given applied tensile load, area and length formula is defined as a measure of the increase in length of a material when subjected to a tensile force. It helps in understanding how materials deform under stress, which is crucial in engineering and material science is calculated using Elongation = Axial Force*Original 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), Original Length (L0), Area of Cross-Section (Acs) & Young's Modulus Bar (E). With our tool, you need to enter the respective value for Axial Force, Original 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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