Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight Solution

STEP 0: Pre-Calculation Summary
Formula Used
Young's Modulus = Specific Weight*Tapered Bar Length^2/(6*Elongation)
E = γ*LTaperedbar^2/(6*δl)
This formula uses 4 Variables
Variables Used
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.
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight is defined as weight per unit volume.
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).
STEP 1: Convert Input(s) to Base Unit
Specific Weight: 70 Kilonewton per Cubic Meter --> 70000 Newton per Cubic Meter (Check conversion here)
Tapered Bar Length: 185 Meter --> 185 Meter No Conversion Required
Elongation: 0.02 Meter --> 0.02 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = γ*LTaperedbar^2/(6*δl) --> 70000*185^2/(6*0.02)
Evaluating ... ...
E = 19964583333.3333
STEP 3: Convert Result to Output's Unit
19964583333.3333 Pascal -->19964.5833333333 Megapascal (Check conversion here)
FINAL ANSWER
19964.5833333333 19964.58 Megapascal <-- Young's Modulus
(Calculation completed in 00.020 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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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)

Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight Formula

Young's Modulus = Specific Weight*Tapered Bar Length^2/(6*Elongation)
E = γ*LTaperedbar^2/(6*δl)

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 Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight?

Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight calculator uses Young's Modulus = Specific Weight*Tapered Bar Length^2/(6*Elongation) to calculate the Young's Modulus, The Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight is defined as the ratio of stress to strain or is the measure of the stiffness of a material. Young's Modulus is denoted by E symbol.

How to calculate Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight using this online calculator? To use this online calculator for Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight, enter Specific Weight (γ), Tapered Bar Length (LTaperedbar) & Elongation (δl) and hit the calculate button. Here is how the Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight calculation can be explained with given input values -> 3.5E-5 = 70000*185^2/(6*0.02).

FAQ

What is Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight?
The Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight is defined as the ratio of stress to strain or is the measure of the stiffness of a material and is represented as E = γ*LTaperedbar^2/(6*δl) or Young's Modulus = Specific Weight*Tapered Bar Length^2/(6*Elongation). Specific Weight is defined as weight per unit volume, The Tapered Bar Length is defined as the total length of the Bar & Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).
How to calculate Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight?
The Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight is defined as the ratio of stress to strain or is the measure of the stiffness of a material is calculated using Young's Modulus = Specific Weight*Tapered Bar Length^2/(6*Elongation). To calculate Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight, you need Specific Weight (γ), Tapered Bar Length (LTaperedbar) & Elongation (δl). With our tool, you need to enter the respective value for Specific Weight, Tapered Bar Length & Elongation 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 Young's Modulus?
In this formula, Young's Modulus uses Specific Weight, Tapered Bar Length & Elongation. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Young's Modulus = Specific Weight*Length*Length/(Elongation*2)
  • Young's Modulus = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Elongation)
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