Specific weight of Truncated Conical Rod using its elongation due to Self Weight Calculator

✖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%
✖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%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%

✖Specific Weight of Rod is defined as weight per unit volume of the rod.ⓘ Specific weight of Truncated Conical Rod using its elongation due to Self Weight [γ_Rod]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Stress and Strain Formulas PDF PDF Image

Specific weight of Truncated Conical Rod using its elongation due to Self Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Specific Weight of Rod - (Measured in Newton per Cubic Meter) - Specific Weight of Rod is defined as weight per unit volume of the rod.
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).
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.
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
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
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_Rod = δl/(((l^2)*(d₁+d₂))/(6*E*(d₁-d₂))) --> 0.02/(((7.8^2)*(0.045+0.035))/(6*20000000000*(0.045-0.035)))

Evaluating ... ...

γ_Rod = 4930966.46942801

STEP 3: Convert Result to Output's Unit

4930966.46942801 Newton per Cubic Meter -->4930.96646942801 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

4930.96646942801 ≈ 4930.966 Kilonewton per Cubic Meter <-- Specific Weight of Rod

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Strength of Materials » Stress and Strain » Elongation due to Self weight » Specific weight of Truncated Conical Rod using its elongation 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 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))

Specific weight of Truncated Conical Rod using its elongation due to Self Weight Formula

LaTeX Go

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

What is Density of Bar?

The density of steel varies based on the alloying constituents but usually ranges between 7,750 and 8,050 kg/m3 (484 and 503 lb/cu ft), or 7.75 and 8.05 g/cm3 (4.48 and 4.65 oz/cu in).

How to Calculate Specific weight of Truncated Conical Rod using its elongation due to Self Weight?

Specific weight of Truncated Conical Rod using its elongation due to Self Weight calculator uses Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))) to calculate the Specific Weight of Rod, The Specific weight of Truncated Conical Rod using its elongation due to Self Weight is defined as mass per unit volume of bar. Specific Weight of Rod is denoted by γ_Rod symbol.

How to calculate Specific weight of Truncated Conical Rod using its elongation due to Self Weight using this online calculator? To use this online calculator for Specific weight of Truncated Conical Rod using its elongation due to Self Weight, enter Elongation (δl), Length of Tapered Bar (l), Diameter1 (d₁), Diameter2 (d₂) & Young's Modulus (E) and hit the calculate button. Here is how the Specific weight of Truncated Conical Rod using its elongation due to Self Weight calculation can be explained with given input values -> 4.930966 = 0.02/(((7.8^2)*(0.045+0.035))/(6*20000000000*(0.045-0.035))).

FAQ

What is Specific weight of Truncated Conical Rod using its elongation due to Self Weight?

The Specific weight of Truncated Conical Rod using its elongation due to Self Weight is defined as mass per unit volume of bar and is represented as γ_Rod = δl/(((l^2)*(d₁+d₂))/(6*E*(d₁-d₂))) or Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))). Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest), 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 & 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 Specific weight of Truncated Conical Rod using its elongation due to Self Weight?

The Specific weight of Truncated Conical Rod using its elongation due to Self Weight is defined as mass per unit volume of bar is calculated using Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))). To calculate Specific weight of Truncated Conical Rod using its elongation due to Self Weight, you need Elongation (δl), Length of Tapered Bar (l), Diameter1 (d₁), Diameter2 (d₂) & Young's Modulus (E). With our tool, you need to enter the respective value for Elongation, Length of Tapered Bar, Diameter1, Diameter2 & Young's Modulus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search