Self Weight of Conical section with known Elongation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Specific Weight = Elongation/(Tapered Bar Length^2/(6*Young's Modulus))
γ = δl/(LTaperedbar^2/(6*E))
This formula uses 4 Variables
Variables Used
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight is defined as weight per unit volume.
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).
Tapered Bar Length - (Measured in Meter) - The Tapered Bar Length is defined as the total length of the Bar.
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
Tapered Bar Length: 185 Meter --> 185 Meter No Conversion Required
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γ = δl/(LTaperedbar^2/(6*E)) --> 0.02/(185^2/(6*20000000000))
Evaluating ... ...
γ = 70124.1782322863
STEP 3: Convert Result to Output's Unit
70124.1782322863 Newton per Cubic Meter -->70.1241782322863 Kilonewton per Cubic Meter (Check conversion ​here)
FINAL ANSWER
70.1241782322863 70.12418 Kilonewton per Cubic Meter <-- Specific Weight
(Calculation completed in 00.004 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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13 Elongation of Tapering Bar due to Self Weight Calculators

Length of Circular Tapering Rod when deflection due to load
​ Go Length = Elongation/(4*Applied Load SOM/(pi*Young's Modulus*(Diameter1*Diameter2)))
Length of Bar using Elongation of Conical Bar with Cross-sectional area
​ Go Length of Tapered Bar = Elongation/(Applied Load SOM/(6*Area of Cross-Section*Young's Modulus))
Load on Conical Bar with known Elongation due to Self Weight
​ Go Applied Load SOM = Elongation/(Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus))
Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area
​ Go Young's Modulus = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Elongation)
Elongation of Conical Bar due to Self Weight with known Cross-sectional area
​ Go Elongation = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus)
Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar
​ Go Length = Elongation/(Applied Load SOM/(2*Area of Cross-Section*Young's Modulus))
Load on Prismatic Bar with known Elongation due to Self Weight
​ Go Applied Load SOM = Elongation/(Length/(2*Area of Cross-Section*Young's Modulus))
Length of Bar given Elongation of Conical Bar due to Self Weight
​ Go Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus)))
Self Weight of Prismatic Bar with known Elongation
​ Go Specific Weight = Elongation/(Length*Length/(Young's Modulus*2))
Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight
​ Go Young's Modulus = Specific Weight*Length*Length/(Elongation*2)
Self Weight of Conical section with known Elongation
​ Go Specific Weight = Elongation/(Tapered Bar Length^2/(6*Young's Modulus))
Elongation of Conical bar due to Self Weight
​ Go Elongation = (Specific Weight*Tapered Bar Length^2)/(6*Young's Modulus)
Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight
​ Go Young's Modulus = Specific Weight*Tapered Bar Length^2/(6*Elongation)

Self Weight of Conical section with known Elongation Formula

Specific Weight = Elongation/(Tapered Bar Length^2/(6*Young's Modulus))
γ = δl/(LTaperedbar^2/(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 Self Weight of Conical section with known Elongation?

Self Weight of Conical section with known Elongation calculator uses Specific Weight = Elongation/(Tapered Bar Length^2/(6*Young's Modulus)) to calculate the Specific Weight, The Self Weight of Conical section with known Elongation is defined as force per unit area influencing change in length of the tapering rod. Specific Weight is denoted by γ symbol.

How to calculate Self Weight of Conical section with known Elongation using this online calculator? To use this online calculator for Self Weight of Conical section with known Elongation, enter Elongation (δl), Tapered Bar Length (LTaperedbar) & Young's Modulus (E) and hit the calculate button. Here is how the Self Weight of Conical section with known Elongation calculation can be explained with given input values -> 39.44773 = 0.02/(185^2/(6*20000000000)).

FAQ

What is Self Weight of Conical section with known Elongation?
The Self Weight of Conical section with known Elongation is defined as force per unit area influencing change in length of the tapering rod and is represented as γ = δl/(LTaperedbar^2/(6*E)) or Specific Weight = Elongation/(Tapered Bar Length^2/(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), The Tapered Bar Length is defined as the total length of the Bar & 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 Self Weight of Conical section with known Elongation?
The Self Weight of Conical section with known Elongation is defined as force per unit area influencing change in length of the tapering rod is calculated using Specific Weight = Elongation/(Tapered Bar Length^2/(6*Young's Modulus)). To calculate Self Weight of Conical section with known Elongation, you need Elongation (δl), Tapered Bar Length (LTaperedbar) & Young's Modulus (E). With our tool, you need to enter the respective value for Elongation, Tapered Bar 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 Specific Weight?
In this formula, Specific Weight uses Elongation, Tapered Bar Length & Young's Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Specific Weight = Elongation/(Length*Length/(Young's Modulus*2))
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