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Elongation due to Self Weight in Prismatic Bar Formula

GoElongation of Truncated Conical Rod due to Self Weight Formula

GoElongation due to Self Weight in Prismatic Bar using Applied Load Formula

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Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest). Check FAQs

δl = γ Rod \cdot L \cdot \frac{L}{E \cdot 2}

δl - Elongation?γ_Rod - Specific Weight of Rod?L - Length?E - Young's Modulus?

Elongation due to Self Weight in Prismatic Bar Example

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Here is how the Elongation due to Self Weight in Prismatic Bar equation looks like with Values.

Here is how the Elongation due to Self Weight in Prismatic Bar equation looks like with Units.

Here is how the Elongation due to Self Weight in Prismatic Bar equation looks like.

0.0011 = 4930.96 \cdot 3 \cdot \frac{3}{20000 \cdot 2}

0.0011m = 4930.96kN/m³ \cdot 3m \cdot \frac{3m}{20000MPa \cdot 2}

0.0011 = 4930.96 \cdot 3 \cdot \frac{3}{20000 \cdot 2}

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Home » Engineering » Civil » Strength of Materials » Elongation due to Self Weight in Prismatic Bar

Elongation due to Self Weight in Prismatic Bar Solution

Follow our step by step solution on how to calculate Elongation due to Self Weight in Prismatic Bar?

FIRST Step Consider the formula

δl = γ Rod \cdot L \cdot \frac{L}{E \cdot 2}

Next Step Substitute values of Variables

∴

δl = 4930.96kN/m³ \cdot 3m \cdot \frac{3m}{20000MPa \cdot 2}

Next Step Convert Units

∴

δl = 4.9E+6N/m³ \cdot 3m \cdot \frac{3m}{2E+10Pa \cdot 2}

Next Step Prepare to Evaluate

∴

δl = 4.9E+6 \cdot 3 \cdot \frac{3}{2E+10 \cdot 2}

Next Step Evaluate

∴

δl = 0.001109466m

LAST Step Rounding Answer

∴

δl = 0.0011m

Elongation due to Self Weight in Prismatic Bar Formula Elements

Variables

Elongation

Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).

Symbol: δl

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Specific Weight of Rod

Specific Weight of Rod is defined as weight per unit volume of the rod.

Symbol: γ_Rod

Measurement: Specific WeightUnit: kN/m³

Note: Value can be positive or negative.

Length

Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Formula and 1300+ more formulas!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Formula and 1700+ more formulas!

Other Formulas to find Elongation

Go Elongation of Truncated Conical Rod due to Self Weight

δl = \frac{(γ Rod \cdot l^{2}) \cdot (d 1 + d 2)}{6 \cdot E \cdot (d 1 - d 2)}

Go Elongation due to Self Weight in Prismatic Bar using Applied Load

δl = W Load \cdot \frac{L}{2 \cdot A \cdot E}

Other formulas in Elongation due to Self weight category

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

γ Rod = \frac{δl}{\frac{(l^{2}) \cdot (d 1 + d 2)}{6 \cdot E \cdot (d 1 - d 2)}}

Go Length of Rod of Truncated Conical Section

l = \sqrt{\frac{δl}{\frac{(γ Rod) \cdot (d 1 + d 2)}{6 \cdot E \cdot (d 1 - d 2)}}}

Go Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight

E = \frac{(γ Rod \cdot l^{2}) \cdot (d 1 + d 2)}{6 \cdot δl \cdot (d 1 - d 2)}

Go Modulus of Elasticity of Bar with known elongation of Truncated Conical Rod due to Self Weight

E = \frac{(γ Rod \cdot l^{2}) \cdot (d 1 + d 2)}{6 \cdot δl \cdot (d 1 - d 2)}

How to Evaluate Elongation due to Self Weight in Prismatic Bar?

Elongation due to Self Weight in Prismatic Bar evaluator uses Elongation = Specific Weight of Rod*Length*Length/(Young's Modulus*2) to evaluate the Elongation, Elongation due to Self Weight in Prismatic Bar is defined as deflection of bar due to its own weight in direction of force. Elongation is denoted by δl symbol.

How to evaluate Elongation due to Self Weight in Prismatic Bar using this online evaluator? To use this online evaluator for Elongation due to Self Weight in Prismatic Bar, enter Specific Weight of Rod (γ_Rod), Length (L) & Young's Modulus (E) and hit the calculate button.

FAQs on Elongation due to Self Weight in Prismatic Bar

What is the formula to find Elongation due to Self Weight in Prismatic Bar?

The formula of Elongation due to Self Weight in Prismatic Bar is expressed as Elongation = Specific Weight of Rod*Length*Length/(Young's Modulus*2). Here is an example- 1.6E-5 = 4930960*3*3/(20000000000*2).

How to calculate Elongation due to Self Weight in Prismatic Bar?

With Specific Weight of Rod (γ_Rod), Length (L) & Young's Modulus (E) we can find Elongation due to Self Weight in Prismatic Bar using the formula - Elongation = Specific Weight of Rod*Length*Length/(Young's Modulus*2).

What are the other ways to Calculate Elongation?

Here are the different ways to Calculate Elongation-

Elongation=((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))
Elongation=Applied Load SOM*Length/(2*Area of Cross-Section*Young's Modulus)

Can the Elongation due to Self Weight in Prismatic Bar be negative?

Yes, the Elongation due to Self Weight in Prismatic Bar, measured in Length can be negative.

Which unit is used to measure Elongation due to Self Weight in Prismatic Bar?

Elongation due to Self Weight in Prismatic Bar is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Elongation due to Self Weight in Prismatic Bar can be measured.

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Elongation due to Self Weight in Prismatic Bar Formula

​GoElongation of Truncated Conical Rod due to Self Weight Formula

​GoElongation due to Self Weight in Prismatic Bar using Applied Load Formula

Elongation due to Self Weight in Prismatic Bar Example

Elongation due to Self Weight in Prismatic Bar Solution

Elongation due to Self Weight in Prismatic Bar Formula Elements

Credits

Other Formulas to find Elongation

Other formulas in Elongation due to Self weight category

How to Evaluate Elongation due to Self Weight in Prismatic Bar?

FAQs on Elongation due to Self Weight in Prismatic Bar

Variable Name

GoElongation of Truncated Conical Rod due to Self Weight Formula

GoElongation due to Self Weight in Prismatic Bar using Applied Load Formula