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Elongation of element Formula

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The Increase in Bar Length value is the value of the increase in length. Check FAQs

ΔL Bar = \frac{w \cdot ({L bar}^{2})}{2 \cdot E}

ΔL_Bar - Increase in Bar Length?w - Weight per unit volume?L_bar - Length of Bar?E - Young's Modulus Bar?

Elongation of element Example

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With units

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Here is how the Elongation of element equation looks like with Values.

Here is how the Elongation of element equation looks like with Units.

Here is how the Elongation of element equation looks like.

0.0143 = \frac{10 \cdot ({256.66}^{2})}{2 \cdot 0.023}

0.0143mm = \frac{10N/m³ \cdot ({256.66mm}^{2})}{2 \cdot 0.023MPa}

0.0143 = \frac{10 \cdot ({256.66}^{2})}{2 \cdot 0.023}

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Elongation of element Solution

Follow our step by step solution on how to calculate Elongation of element?

FIRST Step Consider the formula

ΔL Bar = \frac{w \cdot ({L bar}^{2})}{2 \cdot E}

Next Step Substitute values of Variables

∴

ΔL Bar = \frac{10N/m³ \cdot ({256.66mm}^{2})}{2 \cdot 0.023MPa}

Next Step Convert Units

∴

ΔL Bar = \frac{10N/m³ \cdot ({0.2567m}^{2})}{2 \cdot 23000Pa}

Next Step Prepare to Evaluate

∴

ΔL Bar = \frac{10 \cdot ({0.2567}^{2})}{2 \cdot 23000}

Next Step Evaluate

∴

ΔL Bar = 1.43205120869565E-05m

Next Step Convert to Output's Unit

∴

ΔL Bar = 0.0143205120869565mm

LAST Step Rounding Answer

∴

ΔL Bar = 0.0143mm

Elongation of element Formula Elements

Variables

Increase in Bar Length

The Increase in Bar Length value is the value of the increase in length.

Symbol: ΔL_Bar

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Increase in Bar Length

Weight per unit volume

Weight per unit volume is the ratio of weight of a body to its volume.

Symbol: w

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Weight per unit volume

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

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 Elongation of Bar due its Own Weight category

Go Weight of bar for length x

W = w \cdot A \cdot L bar

Go Stress on element of rod

σ = w \cdot L bar

Go Strain in Element

ε = \frac{w \cdot L bar}{E}

Go Total elongation of bar

δL = \frac{ρ A \cdot L bar}{2 \cdot E bar}

How to Evaluate Elongation of element?

Elongation of element evaluator uses Increase in Bar Length = (Weight per unit volume*(Length of Bar^2))/(2*Young's Modulus Bar) to evaluate the Increase in Bar Length, Elongation of element formula is defined as a measure of the increase in length of a structural element, such as a bar, due to the effects of its own weight. This concept is crucial in engineering to ensure the integrity and stability of structures under load. Increase in Bar Length is denoted by ΔL_Bar symbol.

How to evaluate Elongation of element using this online evaluator? To use this online evaluator for Elongation of element, enter Weight per unit volume (w), Length of Bar (L_bar) & Young's Modulus Bar (E) and hit the calculate button.

FAQs on Elongation of element

What is the formula to find Elongation of element?

The formula of Elongation of element is expressed as Increase in Bar Length = (Weight per unit volume*(Length of Bar^2))/(2*Young's Modulus Bar). Here is an example- 14.32051 = (10*(0.25666^2))/(2*23000).

How to calculate Elongation of element?

With Weight per unit volume (w), Length of Bar (L_bar) & Young's Modulus Bar (E) we can find Elongation of element using the formula - Increase in Bar Length = (Weight per unit volume*(Length of Bar^2))/(2*Young's Modulus Bar).

Can the Elongation of element be negative?

Yes, the Elongation of element, measured in Length can be negative.

Which unit is used to measure Elongation of element?

Elongation of element is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Elongation of element can be measured.

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Elongation of element Formula

Elongation of element Example

Elongation of element Solution

Elongation of element Formula Elements

Other formulas in Elongation of Bar due its Own Weight category

How to Evaluate Elongation of element?

FAQs on Elongation of element

Variable Name