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Elongation of Prismatic Bar due to its Own Weight Formula

GoElongation Circular Tapered Bar Formula

GoAxial 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}{2 \cdot A \cdot e}

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

Elongation of Prismatic Bar due to its Own Weight Example

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Here is how the Elongation of Prismatic Bar due to its Own Weight equation looks like with Values.

Here is how the Elongation of Prismatic Bar due to its Own Weight equation looks like with Units.

Here is how the Elongation of Prismatic Bar due to its Own Weight equation looks like.

1125 = \frac{3.6 \cdot 2000}{2 \cdot 64 \cdot 50}

1125mm = \frac{3.6kN \cdot 2000mm}{2 \cdot 64m² \cdot 50Pa}

1125 = \frac{3.6 \cdot 2000}{2 \cdot 64 \cdot 50}

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Elongation of Prismatic Bar due to its Own Weight Solution

Follow our step by step solution on how to calculate Elongation of Prismatic Bar due to its Own Weight?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∆ = \frac{3.6kN \cdot 2000mm}{2 \cdot 64m² \cdot 50Pa}

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

∆ = \frac{3600 \cdot 2}{2 \cdot 64 \cdot 50}

Next Step Evaluate

∴

∆ = 1.125m

LAST Step Convert to Output's Unit

∴

∆ = 1125mm

Elongation of Prismatic Bar due to its Own Weight 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 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 Axial Elongation of Prismatic Bar due to External Load

∆ = \frac{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 Elongation of Prismatic Bar due to its Own Weight?

Elongation of Prismatic Bar due to its Own Weight evaluator uses Elongation of Prismatic Bar = (Load*Length of Bar)/(2*Area of Prismatic Bar*Elastic Modulus) to evaluate the Elongation, The Elongation of Prismatic Bar due to its Own Weight formula is defined as a measure of the increase in length of a prismatic bar under its own weight, which is a fundamental concept in understanding the behavior of materials under stress and strain. Elongation is denoted by ∆ symbol.

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

FAQs on Elongation of Prismatic Bar due to its Own Weight

What is the formula to find Elongation of Prismatic Bar due to its Own Weight?

The formula of Elongation of Prismatic Bar due to its Own Weight is expressed as Elongation of Prismatic Bar = (Load*Length of Bar)/(2*Area of Prismatic Bar*Elastic Modulus). Here is an example- 1.1E+6 = (3600*2)/(2*64*50).

How to calculate Elongation of Prismatic Bar due to its Own Weight?

With Load (W_load), Length of Bar (L_bar), Area of Prismatic Bar (A) & Elastic Modulus (e) we can find Elongation of Prismatic Bar due to its Own Weight using the formula - Elongation of Prismatic Bar = (Load*Length of Bar)/(2*Area of Prismatic Bar*Elastic Modulus).

What are the other ways to Calculate Elongation?

Here are the different ways to Calculate Elongation-

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

Can the Elongation of Prismatic Bar due to its Own Weight be negative?

No, the Elongation of Prismatic Bar due to its Own Weight, measured in Length cannot be negative.

Which unit is used to measure Elongation of Prismatic Bar due to its Own Weight?

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

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Elongation of Prismatic Bar due to its Own Weight Formula

​GoElongation Circular Tapered Bar Formula

​GoAxial Elongation of Prismatic Bar due to External Load Formula

Elongation of Prismatic Bar due to its Own Weight Example

Elongation of Prismatic Bar due to its Own Weight Solution

Elongation of Prismatic Bar due to its Own Weight Formula Elements

Other Formulas to find Elongation

Other formulas in Stress and Strain category

How to Evaluate Elongation of Prismatic Bar due to its Own Weight?

FAQs on Elongation of Prismatic Bar due to its Own Weight

Variable Name

GoElongation Circular Tapered Bar Formula

GoAxial Elongation of Prismatic Bar due to External Load Formula