Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight Calculator

✖Specific Weight of Rod is defined as weight per unit volume of the rod.ⓘ Specific Weight of Rod [γ_Rod]			+10% -10%
✖The Length of Tapered Bar is defined as the total length of the Bar.ⓘ Length of Tapered Bar [l]			+10% -10%
✖Diameter1 is the diameter on one side of the rod.ⓘ Diameter1 [d₁]			+10% -10%
✖Diameter2 is the length of the diameter on 2nd side.ⓘ Diameter2 [d₂]			+10% -10%
✖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%

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight [E]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Stress and Strain Formulas PDF PDF Image

Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2))
E = ((γ_Rod*l^2)*(d₁+d₂))/(6*δl*(d₁-d₂))
This formula uses 6 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 of Rod - (Measured in Newton per Cubic Meter) - Specific Weight of Rod is defined as weight per unit volume of the rod.
Length of Tapered Bar - (Measured in Meter) - The Length of Tapered Bar is defined as the total length of the Bar.
Diameter1 - (Measured in Meter) - Diameter1 is the diameter on one side of the rod.
Diameter2 - (Measured in Meter) - Diameter2 is the length of the diameter on 2nd side.
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 of Rod: 4930.96 Kilonewton per Cubic Meter --> 4930960 Newton per Cubic Meter (Check conversion here)
Length of Tapered Bar: 7.8 Meter --> 7.8 Meter No Conversion Required
Diameter1: 0.045 Meter --> 0.045 Meter No Conversion Required
Diameter2: 0.035 Meter --> 0.035 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_Rod*l^2)*(d₁+d₂))/(6*δl*(d₁-d₂)) --> ((4930960*7.8^2)*(0.045+0.035))/(6*0.02*(0.045-0.035))

Evaluating ... ...

E = 19999973760

STEP 3: Convert Result to Output's Unit

19999973760 Pascal -->19999.97376 Megapascal (Check conversion here)

FINAL ANSWER

19999.97376 ≈ 19999.97 Megapascal <-- Young's Modulus

(Calculation completed in 00.007 seconds)

You are here -

Home » Engineering » Civil » Strength of Materials » Stress and Strain » Elongation due to Self weight » Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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))

Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight Formula

LaTeX Go

Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2))
E = ((γ_Rod*l^2)*(d₁+d₂))/(6*δl*(d₁-d₂))

What is Strain in Bar?

Strain is the response of a system to an applied stress. When a material is loaded with a force, it produces a stress, which then causes a material to deform. For example, the strain in a bar that is being stretched in tension is the amount of elongation or change in length divided by its original length.

How to Calculate Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight?

Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight calculator uses Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2)) to calculate the Young's Modulus, The Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight is defined as ratio of normal stress to strain. Young's Modulus is denoted by E symbol.

How to calculate Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight using this online calculator? To use this online calculator for Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight, enter Specific Weight of Rod (γ_Rod), Length of Tapered Bar (l), Diameter1 (d₁), Diameter2 (d₂) & Elongation (δl) and hit the calculate button. Here is how the Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight calculation can be explained with given input values -> 0.000284 = ((4930960*7.8^2)*(0.045+0.035))/(6*0.02*(0.045-0.035)).

FAQ

What is Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight?

The Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight is defined as ratio of normal stress to strain and is represented as E = ((γ_Rod*l^2)*(d₁+d₂))/(6*δl*(d₁-d₂)) or Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2)). Specific Weight of Rod is defined as weight per unit volume of the rod, The Length of Tapered Bar is defined as the total length of the Bar, Diameter1 is the diameter on one side of the rod, Diameter2 is the length of the diameter on 2nd side & 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 Rod using Extension of Truncated Conical Rod due to Self Weight?

The Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight is defined as ratio of normal stress to strain is calculated using Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2)). To calculate Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight, you need Specific Weight of Rod (γ_Rod), Length of Tapered Bar (l), Diameter1 (d₁), Diameter2 (d₂) & Elongation (δl). With our tool, you need to enter the respective value for Specific Weight of Rod, Length of Tapered Bar, Diameter1, Diameter2 & 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 of Rod, Length of Tapered Bar, Diameter1, Diameter2 & Elongation. We can use 1 other way(s) to calculate the same, which is/are as follows -

Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2))

Home

FREE PDFs

🔍 Search