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Modulus of Elasticity given Total Elongation of Bar Formula

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Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it. Check FAQs

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

E_bar - Modulus of Elasticity Of Bar?ρ_A - Weight by Area?L_bar - Length of Bar?δL - Total Elongation?

Modulus of Elasticity given Total Elongation of Bar Example

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Here is how the Modulus of Elasticity given Total Elongation of Bar equation looks like with Values.

Here is how the Modulus of Elasticity given Total Elongation of Bar equation looks like with Units.

Here is how the Modulus of Elasticity given Total Elongation of Bar equation looks like.

10.9997 = \frac{6 \cdot 256.66}{2 \cdot 70}

10.9997MPa = \frac{6MPa \cdot 256.66mm}{2 \cdot 70mm}

10.9997 = \frac{6 \cdot 256.66}{2 \cdot 70}

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Modulus of Elasticity given Total Elongation of Bar Solution

Follow our step by step solution on how to calculate Modulus of Elasticity given Total Elongation of Bar?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E bar = \frac{6MPa \cdot 256.66mm}{2 \cdot 70mm}

Next Step Convert Units

∴

E bar = \frac{6E+6Pa \cdot 0.2567m}{2 \cdot 0.07m}

Next Step Prepare to Evaluate

∴

E bar = \frac{6E+6 \cdot 0.2567}{2 \cdot 0.07}

Next Step Evaluate

∴

E bar = 10999714.2857143Pa

Next Step Convert to Output's Unit

∴

E bar = 10.9997142857143MPa

LAST Step Rounding Answer

∴

E bar = 10.9997MPa

Modulus of Elasticity given Total Elongation of Bar Formula Elements

Variables

Modulus of Elasticity Of Bar

Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.

Symbol: E_bar

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Of Bar

Weight by Area

Weight by Area is the ratio of weight of a body to its cross-sectional area.

Symbol: ρ_A

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Weight by Area

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

Total Elongation

Total Elongation of a bar is defined as the elongation due to its own weight.

Symbol: δL

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Total Elongation

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 Elongation of element

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

How to Evaluate Modulus of Elasticity given Total Elongation of Bar?

Modulus of Elasticity given Total Elongation of Bar evaluator uses Modulus of Elasticity Of Bar = (Weight by Area*Length of Bar)/(2*Total Elongation) to evaluate the Modulus of Elasticity Of Bar, Modulus of Elasticity given Total Elongation of Bar formula is defined as a measure of a material's ability to deform elastically when a force is applied. It quantifies the relationship between stress and strain in a bar subjected to elongation due to its own weight. Modulus of Elasticity Of Bar is denoted by E_bar symbol.

How to evaluate Modulus of Elasticity given Total Elongation of Bar using this online evaluator? To use this online evaluator for Modulus of Elasticity given Total Elongation of Bar, enter Weight by Area (ρ_A), Length of Bar (L_bar) & Total Elongation (δL) and hit the calculate button.

FAQs on Modulus of Elasticity given Total Elongation of Bar

What is the formula to find Modulus of Elasticity given Total Elongation of Bar?

The formula of Modulus of Elasticity given Total Elongation of Bar is expressed as Modulus of Elasticity Of Bar = (Weight by Area*Length of Bar)/(2*Total Elongation). Here is an example- 8.6E-5 = (6000000*0.25666)/(2*0.07).

How to calculate Modulus of Elasticity given Total Elongation of Bar?

With Weight by Area (ρ_A), Length of Bar (L_bar) & Total Elongation (δL) we can find Modulus of Elasticity given Total Elongation of Bar using the formula - Modulus of Elasticity Of Bar = (Weight by Area*Length of Bar)/(2*Total Elongation).

Can the Modulus of Elasticity given Total Elongation of Bar be negative?

No, the Modulus of Elasticity given Total Elongation of Bar, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Elasticity given Total Elongation of Bar?

Modulus of Elasticity given Total Elongation of Bar is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Modulus of Elasticity given Total Elongation of Bar can be measured.

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Modulus of Elasticity given Total Elongation of Bar Formula

Modulus of Elasticity given Total Elongation of Bar Example

Modulus of Elasticity given Total Elongation of Bar Solution

Modulus of Elasticity given Total Elongation of Bar Formula Elements

Other formulas in Elongation of Bar due its Own Weight category

How to Evaluate Modulus of Elasticity given Total Elongation of Bar?

FAQs on Modulus of Elasticity given Total Elongation of Bar

Variable Name