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Elongation of bar given applied tensile load, area and length Formula

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

∆ = P \cdot \frac{L 0}{A cs \cdot E}

∆ - Elongation?P - Axial Force?L₀ - Original Length?A_cs - Area of Cross-Section?E - Young's Modulus Bar?

Elongation of bar given applied tensile load, area and length Example

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Here is how the Elongation of bar given applied tensile load, area and length equation looks like with Values.

Here is how the Elongation of bar given applied tensile load, area and length equation looks like with Units.

Here is how the Elongation of bar given applied tensile load, area and length equation looks like.

339.6739 = 10 \cdot \frac{5000}{6400 \cdot 0.023}

339.6739mm = 10N \cdot \frac{5000mm}{6400mm² \cdot 0.023MPa}

339.6739 = 10 \cdot \frac{5000}{6400 \cdot 0.023}

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Elongation of bar given applied tensile load, area and length Solution

Follow our step by step solution on how to calculate Elongation of bar given applied tensile load, area and length?

FIRST Step Consider the formula

∆ = P \cdot \frac{L 0}{A cs \cdot E}

Next Step Substitute values of Variables

∴

∆ = 10N \cdot \frac{5000mm}{6400mm² \cdot 0.023MPa}

Next Step Convert Units

∴

∆ = 10N \cdot \frac{5m}{0.0064m² \cdot 23000Pa}

Next Step Prepare to Evaluate

∴

∆ = 10 \cdot \frac{5}{0.0064 \cdot 23000}

Next Step Evaluate

∴

∆ = 0.339673913043478m

Next Step Convert to Output's Unit

∴

∆ = 339.673913043478mm

LAST Step Rounding Answer

∴

∆ = 339.6739mm

Elongation of bar given applied tensile load, area and length Formula Elements

Variables

Elongation

The Elongation refers to the change in length due to subjected load.

Symbol: ∆

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Elongation

Axial Force

The Axial Force is defined as the compression or tension force acting in a member.

Symbol: P

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Axial Force

Original Length

The Original Length refers to the material refers to its initial size or dimension before any external forces are applied.

Symbol: L₀

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Original Length

Area of Cross-Section

Area of Cross-Section is the enclosed surface area, product of length and breadth.

Symbol: A_cs

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Cross-Section

Young's Modulus Bar

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

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus Bar

Other formulas in Strain in Bar category

Go Longitudinal Strain using Poisson's Ratio

ε ln = - (\frac{ε L}{𝛎})

Go Area of upper end of bar

A 1 = A 2 \cdot e^{w \cdot \frac{L bar}{σ}}

Go Area of lower end of bar

A 2 = \frac{A 1}{e^{w \cdot \frac{L bar}{σ}}}

Go Change in length of Tapered Bar

ΔL = (F a \cdot \frac{l}{t \cdot E \cdot (L Right - L Left)}) \cdot \frac{\ln (\frac{L Right}{L Left})}{1000000}

How to Evaluate Elongation of bar given applied tensile load, area and length?

Elongation of bar given applied tensile load, area and length evaluator uses Elongation = Axial Force*Original Length/(Area of Cross-Section*Young's Modulus Bar) to evaluate the Elongation, Elongation of bar given applied tensile load, area and length formula is defined as a measure of the increase in length of a material when subjected to a tensile force. It helps in understanding how materials deform under stress, which is crucial in engineering and material science. Elongation is denoted by ∆ symbol.

How to evaluate Elongation of bar given applied tensile load, area and length using this online evaluator? To use this online evaluator for Elongation of bar given applied tensile load, area and length, enter Axial Force (P), Original Length (L₀), Area of Cross-Section (A_cs) & Young's Modulus Bar (E) and hit the calculate button.

FAQs on Elongation of bar given applied tensile load, area and length

What is the formula to find Elongation of bar given applied tensile load, area and length?

The formula of Elongation of bar given applied tensile load, area and length is expressed as Elongation = Axial Force*Original Length/(Area of Cross-Section*Young's Modulus Bar). Here is an example- 339673.9 = 10*5/(0.0064*23000).

How to calculate Elongation of bar given applied tensile load, area and length?

With Axial Force (P), Original Length (L₀), Area of Cross-Section (A_cs) & Young's Modulus Bar (E) we can find Elongation of bar given applied tensile load, area and length using the formula - Elongation = Axial Force*Original Length/(Area of Cross-Section*Young's Modulus Bar).

Can the Elongation of bar given applied tensile load, area and length be negative?

Yes, the Elongation of bar given applied tensile load, area and length, measured in Length can be negative.

Which unit is used to measure Elongation of bar given applied tensile load, area and length?

Elongation of bar given applied tensile load, area and length is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Elongation of bar given applied tensile load, area and length can be measured.

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Elongation of bar given applied tensile load, area and length Formula

Elongation of bar given applied tensile load, area and length Example

Elongation of bar given applied tensile load, area and length Solution

Elongation of bar given applied tensile load, area and length Formula Elements

Other formulas in Strain in Bar category

How to Evaluate Elongation of bar given applied tensile load, area and length?

FAQs on Elongation of bar given applied tensile load, area and length

Variable Name