Elongation due to Self Weight in Prismatic Bar Calculator

✖Specific Weight of Rod is defined as weight per unit volume of the rod.ⓘ Specific Weight of Rod [γ_Rod]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%

✖Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).ⓘ Elongation due to Self Weight in Prismatic Bar [δl]

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Elongation due to Self Weight in Prismatic Bar Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elongation = Specific Weight of Rod*Length*Length/(Young's Modulus*2)
δl = γ_Rod*L*L/(E*2)
This formula uses 4 Variables

Variables Used

Elongation - (Measured in Meter) - Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).
Specific Weight of Rod - (Measured in Newton per Cubic Meter) - Specific Weight of Rod is defined as weight per unit volume of the rod.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Young's Modulus - (Measured in Pascal) - Young's Modulus 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

Specific Weight of Rod: 4930.96 Kilonewton per Cubic Meter --> 4930960 Newton per Cubic Meter (Check conversion here)
Length: 3 Meter --> 3 Meter No Conversion Required
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δl = γ_Rod*L*L/(E*2) --> 4930960*3*3/(20000000000*2)

Evaluating ... ...

δl = 0.001109466

STEP 3: Convert Result to Output's Unit

0.001109466 Meter --> No Conversion Required

FINAL ANSWER

0.001109466 ≈ 0.001109 Meter <-- Elongation

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Elongation due to Self weight Calculators

Length of Rod of Truncated Conical Section

LaTeX Go Length of Tapered Bar = sqrt(Elongation/(((Specific Weight of Rod)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))))

Specific weight of Truncated Conical Rod using its elongation due to Self Weight

LaTeX Go Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2)))

Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight

LaTeX Go Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2))

Elongation of Truncated Conical Rod due to Self Weight

LaTeX Go Elongation = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))

Elongation due to Self Weight in Prismatic Bar Formula

LaTeX Go

Elongation = Specific Weight of Rod*Length*Length/(Young's Modulus*2)
δl = γ_Rod*L*L/(E*2)

What is Self Weight?

Self-weight refers to the own weight of body, due to the mass present in it. The load exerted due to the self weight is the permanent load on the structure. The load exerted by the self weight is also called dead load.

What is Prismatic Bar?

The Prismatic Bar has a uniform cross-section. It is a structural member having a straight longitudinal axis and a constant cross-section throughout its length

How to Calculate Elongation due to Self Weight in Prismatic Bar?

Elongation due to Self Weight in Prismatic Bar calculator uses Elongation = Specific Weight of Rod*Length*Length/(Young's Modulus*2) to calculate the Elongation, Elongation due to Self Weight in Prismatic Bar is defined as deflection of bar due to its own weight in direction of force. Elongation is denoted by δl symbol.

How to calculate Elongation due to Self Weight in Prismatic Bar using this online calculator? To use this online calculator for Elongation due to Self Weight in Prismatic Bar, enter Specific Weight of Rod (γ_Rod), Length (L) & Young's Modulus (E) and hit the calculate button. Here is how the Elongation due to Self Weight in Prismatic Bar calculation can be explained with given input values -> 1.6E-5 = 4930960*3*3/(20000000000*2).

FAQ

What is Elongation due to Self Weight in Prismatic Bar?

Elongation due to Self Weight in Prismatic Bar is defined as deflection of bar due to its own weight in direction of force and is represented as δl = γ_Rod*L*L/(E*2) or Elongation = Specific Weight of Rod*Length*Length/(Young's Modulus*2). Specific Weight of Rod is defined as weight per unit volume of the rod, Length is the measurement or extent of something from end to end & Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

How to calculate Elongation due to Self Weight in Prismatic Bar?

Elongation due to Self Weight in Prismatic Bar is defined as deflection of bar due to its own weight in direction of force is calculated using Elongation = Specific Weight of Rod*Length*Length/(Young's Modulus*2). To calculate Elongation due to Self Weight in Prismatic Bar, you need Specific Weight of Rod (γ_Rod), Length (L) & Young's Modulus (E). With our tool, you need to enter the respective value for Specific Weight of Rod, Length & Young's Modulus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Elongation?

In this formula, Elongation uses Specific Weight of Rod, Length & Young's Modulus. We can use 2 other way(s) to calculate the same, which is/are as follows -

Elongation = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))
Elongation = Applied Load SOM*Length/(2*Area of Cross-Section*Young's Modulus)

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