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/(γRod/(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/(γRod/(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)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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NSS College of Engineering (NSSCE), Palakkad
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11 Elongation due to Self weight Calculators

Length of Rod of Truncated Conical Section
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
Go Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2)))
Modulus of Elasticity of Bar with known elongation of Truncated Conical Rod due to Self Weight
Go Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2))
Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight
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
Go Elongation = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))
Length of Bar using its Uniform Strength
Go Length = (2.303*log10(Area 1/Area 2))*(Uniform Stress/Specific Weight of Rod)
Uniform Stress on Bar due to Self-Weight
Go Uniform Stress = Length/((2.303*log10(Area 1/Area 2))/Specific Weight of Rod)
Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight
Go Area of Cross-Section = Applied Load SOM*Length/(6*Elongation*Young's Modulus)
Elongation due to Self Weight in Prismatic Bar using Applied Load
Go Elongation = Applied Load SOM*Length/(2*Area of Cross-Section*Young's Modulus)
Length of Bar using Elongation due to Self Weight in Prismatic bar
Go Length = sqrt(Elongation/(Specific Weight of Rod/(Young's Modulus*2)))
Elongation due to Self Weight in Prismatic Bar
Go Elongation = Specific Weight of Rod*Length*Length/(Young's Modulus*2)

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

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