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Axial Elongation of Prismatic Bar due to External Load Formula

GoElongation Circular Tapered Bar Formula

GoElongation of Prismatic Bar due to its Own Weight Formula

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The Elongation is change in length due to subjected load. Check FAQs

∆ = \frac{W load \cdot L bar}{A \cdot e}

∆ - Elongation?W_load - Load?L_bar - Length of Bar?A - Area of Prismatic Bar?e - Elastic Modulus?

Axial Elongation of Prismatic Bar due to External Load Example

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Here is how the Axial Elongation of Prismatic Bar due to External Load equation looks like with Values.

Here is how the Axial Elongation of Prismatic Bar due to External Load equation looks like with Units.

Here is how the Axial Elongation of Prismatic Bar due to External Load equation looks like.

2250 = \frac{3.6 \cdot 2000}{64 \cdot 50}

2250mm = \frac{3.6kN \cdot 2000mm}{64m² \cdot 50Pa}

2250 = \frac{3.6 \cdot 2000}{64 \cdot 50}

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Axial Elongation of Prismatic Bar due to External Load Solution

Follow our step by step solution on how to calculate Axial Elongation of Prismatic Bar due to External Load?

FIRST Step Consider the formula

∆ = \frac{W load \cdot L bar}{A \cdot e}

Next Step Substitute values of Variables

∴

∆ = \frac{3.6kN \cdot 2000mm}{64m² \cdot 50Pa}

Next Step Convert Units

∴

∆ = \frac{3600N \cdot 2m}{64m² \cdot 50Pa}

Next Step Prepare to Evaluate

∴

∆ = \frac{3600 \cdot 2}{64 \cdot 50}

Next Step Evaluate

∴

∆ = 2.25m

LAST Step Convert to Output's Unit

∴

∆ = 2250mm

Axial Elongation of Prismatic Bar due to External Load Formula Elements

Variables

Elongation

The Elongation is change in length due to subjected load.

Symbol: ∆

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Elongation

Load

Load is the instantaneous load applied perpendicular to the specimen cross-section.

Symbol: W_load

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Load

Length of Bar

Length Of Bar is defined as the total length of the Bar.

Symbol: L_bar

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Bar

Area of Prismatic Bar

Area of prismatic bar is the amount of two-dimensional space taken up by an object.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Prismatic Bar

Elastic Modulus

The Elastic Modulus is the ratio of Stress to Strain.

Symbol: e

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Elastic Modulus

Other Formulas to find Elongation

Go Elongation Circular Tapered Bar

∆ = \frac{4 \cdot W load \cdot L bar}{π \cdot D 1 \cdot D 2 \cdot e}

Go Elongation of Prismatic Bar due to its Own Weight

∆ = \frac{2 \cdot W load \cdot L bar}{A \cdot e}

Other formulas in Stress and Strain category

Go Moment of Inertia for Hollow Circular Shaft

J = \frac{π}{32} \cdot ({d ho}^{4} - {d hi}^{4})

Go Moment of Inertia about Polar Axis

J = \frac{π \cdot {d s}^{4}}{32}

Go Deflection of Fixed Beam with Uniformly Distributed Load

δ = \frac{W beam \cdot {L beam}^{4}}{384 \cdot e \cdot I}

Go Deflection of Fixed Beam with Load at Center

δ = \frac{W beam \cdot {L beam}^{3}}{192 \cdot e \cdot I}

How to Evaluate Axial Elongation of Prismatic Bar due to External Load?

Axial Elongation of Prismatic Bar due to External Load evaluator uses Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus) to evaluate the Elongation, Axial elongation of prismatic bar due to external load is product of length of rod and the ratio of stress to elastic modulus. Elongation is denoted by ∆ symbol.

How to evaluate Axial Elongation of Prismatic Bar due to External Load using this online evaluator? To use this online evaluator for Axial Elongation of Prismatic Bar due to External Load, enter Load (W_load), Length of Bar (L_bar), Area of Prismatic Bar (A) & Elastic Modulus (e) and hit the calculate button.

FAQs on Axial Elongation of Prismatic Bar due to External Load

What is the formula to find Axial Elongation of Prismatic Bar due to External Load?

The formula of Axial Elongation of Prismatic Bar due to External Load is expressed as Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus). Here is an example- 2.3E+6 = (3600*2)/(64*50).

How to calculate Axial Elongation of Prismatic Bar due to External Load?

With Load (W_load), Length of Bar (L_bar), Area of Prismatic Bar (A) & Elastic Modulus (e) we can find Axial Elongation of Prismatic Bar due to External Load using the formula - Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus).

What are the other ways to Calculate Elongation?

Here are the different ways to Calculate Elongation-

Elongation=(4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)
Elongation=(2*Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

Can the Axial Elongation of Prismatic Bar due to External Load be negative?

Yes, the Axial Elongation of Prismatic Bar due to External Load, measured in Length can be negative.

Which unit is used to measure Axial Elongation of Prismatic Bar due to External Load?

Axial Elongation of Prismatic Bar due to External Load is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Axial Elongation of Prismatic Bar due to External Load can be measured.

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Axial Elongation of Prismatic Bar due to External Load Formula

​GoElongation Circular Tapered Bar Formula

​GoElongation of Prismatic Bar due to its Own Weight Formula

Axial Elongation of Prismatic Bar due to External Load Example

Axial Elongation of Prismatic Bar due to External Load Solution

Axial Elongation of Prismatic Bar due to External Load Formula Elements

Other Formulas to find Elongation

Other formulas in Stress and Strain category

How to Evaluate Axial Elongation of Prismatic Bar due to External Load?

FAQs on Axial Elongation of Prismatic Bar due to External Load

Variable Name

GoElongation Circular Tapered Bar Formula

GoElongation of Prismatic Bar due to its Own Weight Formula