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%
✖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 Conical bar due to Self Weight [δl]

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Formula

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Elongation of Conical bar due to Self Weight

Formula

`"δl" = ("γ"*"L"_{"Taperedbar"}^2)/(6*"E")`

Example

`"0.019965m"=("70kN/m³"*("185m")^2)/(6*"20000MPa")`

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Elongation of Conical bar due to Self Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elongation = (Specific Weight*Tapered Bar Length^2)/(6*Young's Modulus)
δl = (γ*L_Taperedbar^2)/(6*E)
This formula uses 4 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 - (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.
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: 70 Kilonewton per Cubic Meter --> 70000 Newton per Cubic Meter (Check conversion here)
Tapered Bar Length: 185 Meter --> 185 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*L_Taperedbar^2)/(6*E) --> (70000*185^2)/(6*20000000000)

Evaluating ... ...

δl = 0.0199645833333333

STEP 3: Convert Result to Output's Unit

0.0199645833333333 Meter --> No Conversion Required

FINAL ANSWER

0.0199645833333333 ≈ 0.019965 Meter <-- Elongation

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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)

Elongation of Conical bar due to Self Weight Formula

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

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 Elongation of Conical bar due to Self Weight?

Elongation of Conical bar due to Self Weight calculator uses Elongation = (Specific Weight*Tapered Bar Length^2)/(6*Young's Modulus) to calculate the Elongation, The Elongation of Conical Bar due to Self Weight formula is defined as change in length of tapering rod, The elongation of the bar is directly proportional to the tensile force and the length of the bar and inversely proportional to the cross-sectional area and the modulus of elasticity. Elongation is denoted by δl symbol.

How to calculate Elongation of Conical bar due to Self Weight using this online calculator? To use this online calculator for Elongation of Conical bar due to Self Weight, enter Specific Weight (γ), Tapered Bar Length (L_Taperedbar) & Young's Modulus (E) and hit the calculate button. Here is how the Elongation of Conical bar due to Self Weight calculation can be explained with given input values -> 3.5E-5 = (70000*185^2)/(6*20000000000).

FAQ

What is Elongation of Conical bar due to Self Weight?

The Elongation of Conical Bar due to Self Weight formula is defined as change in length of tapering rod, The elongation of the bar is directly proportional to the tensile force and the length of the bar and inversely proportional to the cross-sectional area and the modulus of elasticity and is represented as δl = (γ*L_Taperedbar^2)/(6*E) or Elongation = (Specific Weight*Tapered Bar Length^2)/(6*Young's Modulus). Specific Weight is defined as weight per unit volume, The Tapered Bar Length is defined as the total length of the Bar & 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 Conical bar due to Self Weight?

The Elongation of Conical Bar due to Self Weight formula is defined as change in length of tapering rod, The elongation of the bar is directly proportional to the tensile force and the length of the bar and inversely proportional to the cross-sectional area and the modulus of elasticity is calculated using Elongation = (Specific Weight*Tapered Bar Length^2)/(6*Young's Modulus). To calculate Elongation of Conical bar due to Self Weight, you need Specific Weight (γ), Tapered Bar Length (L_Taperedbar) & Young's Modulus (E). With our tool, you need to enter the respective value for Specific Weight, Tapered Bar Length & 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, Tapered Bar Length & Young's Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -

Elongation = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus)

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