Length of Bar given Elongation of Conical Bar due to Self Weight Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus)))
LTaperedbar = sqrt(δl/(γ/(6*E)))
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
Tapered Bar Length - (Measured in Meter) - The Tapered Bar Length is defined as the total length of the Bar.
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 - (Measured in Newton per Cubic Meter) - Specific Weight is defined as weight per unit volume.
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: 70 Kilonewton per Cubic Meter --> 70000 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
LTaperedbar = sqrt(δl/(γ/(6*E))) --> sqrt(0.02/(70000/(6*20000000000)))
Evaluating ... ...
LTaperedbar = 185.16401995451
STEP 3: Convert Result to Output's Unit
185.16401995451 Meter --> No Conversion Required
FINAL ANSWER
185.16401995451 185.164 Meter <-- Tapered Bar Length
(Calculation completed in 00.020 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Verified by M Naveen
National Institute of Technology (NIT), Warangal
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Length of Bar given Elongation of Conical Bar due to Self Weight Formula

​LaTeX ​Go
Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus)))
LTaperedbar = sqrt(δl/(γ/(6*E)))

What is tapering rod?

A circular rod is basically taper uniformly from one end to another end throughout the length and therefore its one end will be of larger diameter and other end will be of smaller diameter.

How to Calculate Length of Bar given Elongation of Conical Bar due to Self Weight?

Length of Bar given Elongation of Conical Bar due to Self Weight calculator uses Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus))) to calculate the Tapered Bar Length, The Length of Bar given Elongation of Conical Bar due to Self Weight is defined as overall length influencing the elongation of Tapering bars. Tapered Bar Length is denoted by LTaperedbar symbol.

How to calculate Length of Bar given Elongation of Conical Bar due to Self Weight using this online calculator? To use this online calculator for Length of Bar given Elongation of Conical Bar due to Self Weight, enter Elongation (δl), Specific Weight (γ) & Young's Modulus (E) and hit the calculate button. Here is how the Length of Bar given Elongation of Conical Bar due to Self Weight calculation can be explained with given input values -> 185.164 = sqrt(0.02/(70000/(6*20000000000))).

FAQ

What is Length of Bar given Elongation of Conical Bar due to Self Weight?
The Length of Bar given Elongation of Conical Bar due to Self Weight is defined as overall length influencing the elongation of Tapering bars and is represented as LTaperedbar = sqrt(δl/(γ/(6*E))) or Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus))). Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest), Specific Weight is defined as weight per unit volume & 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 given Elongation of Conical Bar due to Self Weight?
The Length of Bar given Elongation of Conical Bar due to Self Weight is defined as overall length influencing the elongation of Tapering bars is calculated using Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus))). To calculate Length of Bar given Elongation of Conical Bar due to Self Weight, you need Elongation (δl), Specific Weight (γ) & Young's Modulus (E). With our tool, you need to enter the respective value for Elongation, Specific Weight & Young's Modulus 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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