Elongation 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%
✖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%

✖Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).ⓘ Elongation of Truncated Conical Rod due to Self Weight [δl]

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Elongation of Truncated Conical Rod due to Self Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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).
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.
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

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
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δl = ((γ_Rod*l^2)*(d₁+d₂))/(6*E*(d₁-d₂)) --> ((4930960*7.8^2)*(0.045+0.035))/(6*20000000000*(0.045-0.035))

Evaluating ... ...

δl = 0.01999997376

STEP 3: Convert Result to Output's Unit

0.01999997376 Meter --> No Conversion Required

FINAL ANSWER

0.01999997376 ≈ 0.02 Meter <-- Elongation

(Calculation completed in 00.020 seconds)

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< 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))

Elongation of Truncated Conical Rod due to Self Weight Formula

LaTeX Go

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

What is Strain in Conical Rod?

The rod elongates under this tension to a new length, and the normal strain is a ratio of this small deformation to the rod's original length. Strain is a unitless measure of how much an object gets bigger or smaller from an applied load.

How to Calculate Elongation of Truncated Conical Rod due to Self Weight?

Elongation of Truncated Conical Rod due to Self Weight calculator uses Elongation = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2)) to calculate the Elongation, The Elongation of Truncated Conical Rod due to Self Weight is defined as change in length of bar at the conical rod. Elongation is denoted by δl symbol.

How to calculate Elongation of Truncated Conical Rod due to Self Weight using this online calculator? To use this online calculator for Elongation of Truncated Conical Rod due to Self Weight, enter Specific Weight of Rod (γ_Rod), Length of Tapered Bar (l), Diameter1 (d₁), Diameter2 (d₂) & Young's Modulus (E) and hit the calculate button. Here is how the Elongation 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*20000000000*(0.045-0.035)).

FAQ

What is Elongation of Truncated Conical Rod due to Self Weight?

The Elongation of Truncated Conical Rod due to Self Weight is defined as change in length of bar at the conical rod and is represented as δl = ((γ_Rod*l^2)*(d₁+d₂))/(6*E*(d₁-d₂)) or Elongation = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(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 & 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 Elongation of Truncated Conical Rod due to Self Weight?

The Elongation of Truncated Conical Rod due to Self Weight is defined as change in length of bar at the conical rod is calculated using Elongation = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2)). To calculate Elongation 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) & Young's Modulus (E). With our tool, you need to enter the respective value for Specific Weight of Rod, 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.

How many ways are there to calculate Elongation?

In this formula, Elongation uses Specific Weight of Rod, Length of Tapered Bar, Diameter1, Diameter2 & Young's Modulus. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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