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Length of Bar given Total Elongation of Bar Formula

GoLength of Bar using Total Elongation and Weight per unit volume of bar Formula

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Length of Bar is defined as the total length of the Bar. Check FAQs

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

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

Length of Bar given Total Elongation of Bar Example

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

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

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

256.6667 = \frac{70 \cdot 2 \cdot 11}{6}

256.6667mm = \frac{70mm \cdot 2 \cdot 11MPa}{6MPa}

256.6667 = \frac{70 \cdot 2 \cdot 11}{6}

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Length of Bar given Total Elongation of Bar Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L bar = \frac{70mm \cdot 2 \cdot 11MPa}{6MPa}

Next Step Convert Units

∴

L bar = \frac{0.07m \cdot 2 \cdot 1.1E+7Pa}{6E+6Pa}

Next Step Prepare to Evaluate

∴

L bar = \frac{0.07 \cdot 2 \cdot 1.1E+7}{6E+6}

Next Step Evaluate

∴

L bar = 0.256666666666667m

Next Step Convert to Output's Unit

∴

L bar = 256.666666666667mm

LAST Step Rounding Answer

∴

L bar = 256.6667mm

Length of Bar given Total Elongation of Bar Formula Elements

Variables

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

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

Other Formulas to find Length of Bar

Go Length of Bar using Total Elongation and Weight per unit volume of bar

L bar = \sqrt{\frac{δL \cdot 2 \cdot E bar}{w}}

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 Length of Bar given Total Elongation of Bar?

Length of Bar given Total Elongation of Bar evaluator uses Length of Bar = (Total Elongation*2*Modulus of Elasticity Of Bar)/Weight by Area to evaluate the Length of Bar, Length of Bar given Total Elongation of Bar formula is defined as a method to determine the original length of a bar based on its total elongation caused by its own weight. This concept is essential in understanding material behavior under load and structural integrity. Length of Bar is denoted by L_bar symbol.

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

FAQs on Length of Bar given Total Elongation of Bar

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

The formula of Length of Bar given Total Elongation of Bar is expressed as Length of Bar = (Total Elongation*2*Modulus of Elasticity Of Bar)/Weight by Area. Here is an example- 256666.7 = (0.07*2*11000000)/6000000.

How to calculate Length of Bar given Total Elongation of Bar?

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

What are the other ways to Calculate Length of Bar?

Here are the different ways to Calculate Length of Bar-

Length of Bar=sqrt((Total Elongation*2*Modulus of Elasticity Of Bar)/Weight per unit volume)

Can the Length of Bar given Total Elongation of Bar be negative?

No, the Length of Bar given Total Elongation of Bar, measured in Length cannot be negative.

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

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

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Length of Bar given Total Elongation of Bar Formula

​GoLength of Bar using Total Elongation and Weight per unit volume of bar Formula

Length of Bar given Total Elongation of Bar Example

Length of Bar given Total Elongation of Bar Solution

Length of Bar given Total Elongation of Bar Formula Elements

Other Formulas to find Length of Bar

Other formulas in Elongation of Bar due its Own Weight category

How to Evaluate Length of Bar given Total Elongation of Bar?

FAQs on Length of Bar given Total Elongation of Bar

Variable Name

GoLength of Bar using Total Elongation and Weight per unit volume of bar Formula