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

GoElongation of Truncated Conical Rod due to Self Weight Formula

GoElongation due to Self Weight in Prismatic Bar 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 = W Load \cdot \frac{L}{2 \cdot A \cdot E}

δl - Elongation?W_Load - Applied Load SOM?L - Length?A - Area of Cross-Section?E - Young's Modulus?

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

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

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

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

0.0234 = 1750 \cdot \frac{3}{2 \cdot 5600 \cdot 20000}

0.0234m = 1750kN \cdot \frac{3m}{2 \cdot 5600mm² \cdot 20000MPa}

0.0234 = 1750 \cdot \frac{3}{2 \cdot 5600 \cdot 20000}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δl = 1750kN \cdot \frac{3m}{2 \cdot 5600mm² \cdot 20000MPa}

Next Step Convert Units

∴

δl = 1.8E+6N \cdot \frac{3m}{2 \cdot 0.0056m² \cdot 2E+10Pa}

Next Step Prepare to Evaluate

∴

δl = 1.8E+6 \cdot \frac{3}{2 \cdot 0.0056 \cdot 2E+10}

Next Step Evaluate

∴

δl = 0.0234375m

LAST Step Rounding Answer

∴

δl = 0.0234m

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

Formulas to find Elongation

Applied Load SOM

The Applied Load SOM is a force imposed on an object by a person or another object.

Symbol: W_Load

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Applied Load SOM

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.

Formulas to find Length

Area of Cross-Section

Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Cross-Section

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.

Formulas to find Young's Modulus

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

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

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 using Applied Load?

Elongation due to Self Weight in Prismatic Bar using Applied Load evaluator uses Elongation = Applied Load SOM*Length/(2*Area of Cross-Section*Young's Modulus) to evaluate the Elongation, The Elongation due to Self Weight in Prismatic Bar using Applied Load is defined as change in length of bar upon its own weight. Elongation is denoted by δl symbol.

How to evaluate Elongation due to Self Weight in Prismatic Bar using Applied Load using this online evaluator? To use this online evaluator for Elongation due to Self Weight in Prismatic Bar using Applied Load, enter Applied Load SOM (W_Load), Length (L), Area of Cross-Section (A) & Young's Modulus (E) and hit the calculate button.

FAQs on Elongation due to Self Weight in Prismatic Bar using Applied Load

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

The formula of Elongation due to Self Weight in Prismatic Bar using Applied Load is expressed as Elongation = Applied Load SOM*Length/(2*Area of Cross-Section*Young's Modulus). Here is an example- 0.023438 = 1750000*3/(2*0.0056*20000000000).

How to calculate Elongation due to Self Weight in Prismatic Bar using Applied Load?

With Applied Load SOM (W_Load), Length (L), Area of Cross-Section (A) & Young's Modulus (E) we can find Elongation due to Self Weight in Prismatic Bar using Applied Load using the formula - Elongation = Applied Load SOM*Length/(2*Area of Cross-Section*Young's Modulus).

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=Specific Weight of Rod*Length*Length/(Young's Modulus*2)

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

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

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

Elongation due to Self Weight in Prismatic Bar using Applied Load 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 using Applied Load can be measured.

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

​GoElongation of Truncated Conical Rod due to Self Weight Formula

​GoElongation due to Self Weight in Prismatic Bar Formula

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

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

Elongation due to Self Weight in Prismatic Bar using Applied Load Formula Elements

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 using Applied Load?

FAQs on Elongation due to Self Weight in Prismatic Bar using Applied Load

Variable Name

GoElongation of Truncated Conical Rod due to Self Weight Formula

GoElongation due to Self Weight in Prismatic Bar Formula