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Axial Elongation of Prismatic Bar due to External Load Formula

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The Elongation is change in length of the material or element 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 of the material or element due to subjected load.

Symbol: ∆

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

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 refers to the distance from one end of a structural or mechanical bar to the other.

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 the prismatic bar.

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 a fundamental property that quantifies the stiffness of a material. It is defined as the ratio of stress to strain within the elastic range of a material.

Symbol: e

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Elastic Modulus

Other formulas in Stress and Strain category

Go Elongation Circular Tapered Bar

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

Go Moment of Inertia for Hollow Circular Shaft

J h = \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 Elongation of Prismatic Bar due to its Own Weight

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

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, The Axial Elongation of Prismatic Bar due to External Load formula is defined as a measure of the change in length of a prismatic bar when subjected to an external load, providing insight into the bar's deformation under stress, which is essential in understanding the behavior of materials under various loads. 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).

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

No, the Axial Elongation of Prismatic Bar due to External Load, measured in Length cannot 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

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 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