Length of Bar using Elongation due to Self Weight in Prismatic bar Calculator

✖Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).ⓘ Elongation [δl]			+10% -10%
✖Specific Weight of Rod is defined as weight per unit volume of the rod.ⓘ Specific Weight of Rod [γ_Rod]			+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%

✖Length is the measurement or extent of something from end to end.ⓘ Length of Bar using Elongation due to Self Weight in Prismatic bar [L]

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Length of Bar using Elongation due to Self Weight in Prismatic bar Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length = sqrt(Elongation/(Specific Weight of Rod/(Young's Modulus*2)))
L = sqrt(δl/(γ_Rod/(E*2)))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
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.
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

Elongation: 0.02 Meter --> 0.02 Meter No Conversion Required
Specific Weight of Rod: 4930.96 Kilonewton per Cubic Meter --> 4930960 Newton per Cubic Meter (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = sqrt(δl/(γ_Rod/(E*2))) --> sqrt(0.02/(4930960/(20000000000*2)))

Evaluating ... ...

L = 12.7373550181802

STEP 3: Convert Result to Output's Unit

12.7373550181802 Meter --> No Conversion Required

FINAL ANSWER

12.7373550181802 ≈ 12.73736 Meter <-- Length

(Calculation completed in 00.020 seconds)

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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))

Length of Bar using Elongation due to Self Weight in Prismatic bar Formula

LaTeX Go

Length = sqrt(Elongation/(Specific Weight of Rod/(Young's Modulus*2)))
L = sqrt(δl/(γ_Rod/(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 Length of Bar using Elongation due to Self Weight in Prismatic bar?

Length of Bar using Elongation due to Self Weight in Prismatic bar calculator uses Length = sqrt(Elongation/(Specific Weight of Rod/(Young's Modulus*2))) to calculate the Length, Length of Bar using Elongation due to Self Weight in Prismatic bar is defined as the overall length of the bar after being subjected to elongation due to the self-weight of the bar acting on it. Length is denoted by L symbol.

How to calculate Length of Bar using Elongation due to Self Weight in Prismatic bar using this online calculator? To use this online calculator for Length of Bar using Elongation due to Self Weight in Prismatic bar, enter Elongation (δl), Specific Weight of Rod (γ_Rod) & Young's Modulus (E) and hit the calculate button. Here is how the Length of Bar using Elongation due to Self Weight in Prismatic bar calculation can be explained with given input values -> 106.9045 = sqrt(0.02/(4930960/(20000000000*2))).

FAQ

What is Length of Bar using Elongation due to Self Weight in Prismatic bar?

Length of Bar using Elongation due to Self Weight in Prismatic bar is defined as the overall length of the bar after being subjected to elongation due to the self-weight of the bar acting on it and is represented as L = sqrt(δl/(γ_Rod/(E*2))) or Length = sqrt(Elongation/(Specific Weight of Rod/(Young's Modulus*2))). 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 is defined as weight per unit volume of the rod & 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 Length of Bar using Elongation due to Self Weight in Prismatic bar?

Length of Bar using Elongation due to Self Weight in Prismatic bar is defined as the overall length of the bar after being subjected to elongation due to the self-weight of the bar acting on it is calculated using Length = sqrt(Elongation/(Specific Weight of Rod/(Young's Modulus*2))). To calculate Length of Bar using Elongation due to Self Weight in Prismatic bar, you need Elongation (δl), Specific Weight of Rod (γ_Rod) & Young's Modulus (E). With our tool, you need to enter the respective value for Elongation, Specific Weight of Rod & 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 Length?

In this formula, Length uses Elongation, Specific Weight of Rod & Young's Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length = (2.303*log10(Area 1/Area 2))*(Uniform Stress/Specific Weight of Rod)

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