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

✖Specific Weight is defined as weight per unit volume.ⓘ Specific Weight [γ]			+10% -10%
✖The Tapered Bar Length is defined as the total length of the Bar.ⓘ Tapered Bar Length [L_Taperedbar]			+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 Bar given Elongation of Conical Bar due to Self Weight [E]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Stress and Strain Formulas PDF PDF Image

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*L_Taperedbar^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*L_Taperedbar^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 00.004 seconds)

You are here -

Home » Engineering » Civil » Strength of Materials » Stress and Strain » Elongation of Tapering Bar due to Self Weight » Modulus of Elasticity of Bar given Elongation of Conical Bar 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 Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Elongation of Tapering Bar due to Self Weight Calculators

Length of Circular Tapering Rod when deflection due to load

LaTeX Go Length = Elongation/(4*Applied Load SOM/(pi*Young's Modulus*(Diameter1*Diameter2)))

Load on Prismatic Bar with known Elongation due to Self Weight

LaTeX Go Applied Load SOM = Elongation/(Length/(2*Area of Cross-Section*Young's Modulus))

Self Weight of Prismatic Bar with known Elongation

LaTeX Go Specific Weight = Elongation/(Length*Length/(Young's Modulus*2))

Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight

LaTeX Go Young's Modulus = Specific Weight*Length*Length/(Elongation*2)

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

LaTeX Go

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

Home

FREE PDFs

🔍 Search