Length of Bar given Elongation of Conical Bar 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%
✖Specific Weight is defined as weight per unit volume.ⓘ Specific Weight [γ]			+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%

✖The Tapered Bar Length is defined as the total length of the Bar.ⓘ Length of Bar given Elongation of Conical Bar due to Self Weight [L_Taperedbar]

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Formula

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Length of Bar given Elongation of Conical Bar due to Self Weight

Formula

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

Example

`"185.164m"=sqrt("0.020m"/("70kN/m³"/(6*"20000MPa")))`

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Length of Bar given Elongation of Conical Bar due to Self Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus)))
L_Taperedbar = sqrt(δl/(γ/(6*E)))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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).
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight is defined as weight per unit volume.
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
Specific Weight: 70 Kilonewton per Cubic Meter --> 70000 Newton per Cubic Meter (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_Taperedbar = sqrt(δl/(γ/(6*E))) --> sqrt(0.02/(70000/(6*20000000000)))

Evaluating ... ...

L_Taperedbar = 185.16401995451

STEP 3: Convert Result to Output's Unit

185.16401995451 Meter --> No Conversion Required

FINAL ANSWER

185.16401995451 ≈ 185.164 Meter <-- Tapered Bar Length

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Strength of Materials » Stress and Strain » Elongation of Tapering Bar due to Self Weight » Length of Bar given Elongation of Conical Bar due to Self Weight

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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)

Length of Bar given Elongation of Conical Bar due to Self Weight Formula

Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus)))
L_Taperedbar = sqrt(δl/(γ/(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 Length of Bar given Elongation of Conical Bar due to Self Weight?

Length of Bar given Elongation of Conical Bar due to Self Weight calculator uses Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus))) to calculate the Tapered Bar Length, The Length of Bar given Elongation of Conical Bar due to Self Weight is defined as overall length influencing the elongation of Tapering bars. Tapered Bar Length is denoted by L_Taperedbar symbol.

How to calculate Length of Bar given Elongation of Conical Bar due to Self Weight using this online calculator? To use this online calculator for Length of Bar given Elongation of Conical Bar due to Self Weight, enter Elongation (δl), Specific Weight (γ) & Young's Modulus (E) and hit the calculate button. Here is how the Length of Bar given Elongation of Conical Bar due to Self Weight calculation can be explained with given input values -> 185.164 = sqrt(0.02/(70000/(6*20000000000))).

FAQ

What is Length of Bar given Elongation of Conical Bar due to Self Weight?

The Length of Bar given Elongation of Conical Bar due to Self Weight is defined as overall length influencing the elongation of Tapering bars and is represented as L_Taperedbar = sqrt(δl/(γ/(6*E))) or Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus))). Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest), Specific Weight is defined as weight per unit volume & 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 Length of Bar given Elongation of Conical Bar due to Self Weight?

The Length of Bar given Elongation of Conical Bar due to Self Weight is defined as overall length influencing the elongation of Tapering bars is calculated using Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus))). To calculate Length of Bar given Elongation of Conical Bar due to Self Weight, you need Elongation (δl), Specific Weight (γ) & Young's Modulus (E). With our tool, you need to enter the respective value for Elongation, Specific Weight & Young's Modulus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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