Self Weight of Prismatic Bar with known Elongation 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%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+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 is defined as weight per unit volume.ⓘ Self Weight of Prismatic Bar with known Elongation [γ]

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Formula

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Self Weight of Prismatic Bar with known Elongation

Formula

`"γ" = "δl"/("L"*"L"/("E"*2))`

Example

`"88888.89kN/m³"="0.020m"/("3m"*"3m"/("20000MPa"*2))`

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Self Weight of Prismatic Bar with known Elongation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Weight = Elongation/(Length*Length/(Young's Modulus*2))
γ = δl/(L*L/(E*2))
This formula uses 4 Variables

Variables Used

Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight is defined as weight per unit volume.
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 - (Measured in Meter) - Length is the measurement or extent of something from end to end.
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: 3 Meter --> 3 Meter No Conversion Required
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = δl/(L*L/(E*2)) --> 0.02/(3*3/(20000000000*2))

Evaluating ... ...

γ = 88888888.8888889

STEP 3: Convert Result to Output's Unit

88888888.8888889 Newton per Cubic Meter -->88888.8888888889 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

88888.8888888889 ≈ 88888.89 Kilonewton per Cubic Meter <-- Specific Weight

(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 » Self Weight of Prismatic Bar with known Elongation

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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NSS College of Engineering (NSSCE), Palakkad

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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)

Self Weight of Prismatic Bar with known Elongation Formula

Specific Weight = Elongation/(Length*Length/(Young's Modulus*2))
γ = δl/(L*L/(E*2))

What is Self Weight?

Self-weight refers to the own weight of body, due to the mass present in it. The load exerted due to the self weight is the permanent load on the structure. The load exerted by the self weight is also called dead load.

How to Calculate Self Weight of Prismatic Bar with known Elongation?

Self Weight of Prismatic Bar with known Elongation calculator uses Specific Weight = Elongation/(Length*Length/(Young's Modulus*2)) to calculate the Specific Weight, The Self Weight of Prismatic Bar with known Elongation is defined as force per unit area acting on the bar. Specific Weight is denoted by γ symbol.

How to calculate Self Weight of Prismatic Bar with known Elongation using this online calculator? To use this online calculator for Self Weight of Prismatic Bar with known Elongation, enter Elongation (δl), Length (L) & Young's Modulus (E) and hit the calculate button. Here is how the Self Weight of Prismatic Bar with known Elongation calculation can be explained with given input values -> 88.88889 = 0.02/(3*3/(20000000000*2)).

FAQ

What is Self Weight of Prismatic Bar with known Elongation?

The Self Weight of Prismatic Bar with known Elongation is defined as force per unit area acting on the bar and is represented as γ = δl/(L*L/(E*2)) or Specific Weight = Elongation/(Length*Length/(Young's Modulus*2)). Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest), Length is the measurement or extent of something from end to end & 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 Self Weight of Prismatic Bar with known Elongation?

The Self Weight of Prismatic Bar with known Elongation is defined as force per unit area acting on the bar is calculated using Specific Weight = Elongation/(Length*Length/(Young's Modulus*2)). To calculate Self Weight of Prismatic Bar with known Elongation, you need Elongation (δl), Length (L) & Young's Modulus (E). With our tool, you need to enter the respective value for Elongation, 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 Specific Weight?

In this formula, Specific Weight uses Elongation, Length & Young's Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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