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

GoLength of Bar given Total Elongation of Bar Formula

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

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

L_bar - Length of Bar?δL - Total Elongation?E_bar - Modulus of Elasticity Of Bar?w - Weight per unit volume?

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

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Here is how the Length of Bar using Total Elongation and Weight per unit volume of bar equation looks like with Values.

Here is how the Length of Bar using Total Elongation and Weight per unit volume of bar equation looks like with Units.

Here is how the Length of Bar using Total Elongation and Weight per unit volume of bar equation looks like.

392428.3374 = \sqrt{\frac{70 \cdot 2 \cdot 11}{10}}

392428.3374mm = \sqrt{\frac{70mm \cdot 2 \cdot 11MPa}{10N/m³}}

392428.3374 = \sqrt{\frac{70 \cdot 2 \cdot 11}{10}}

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

Follow our step by step solution on how to calculate Length of Bar using Total Elongation and Weight per unit volume of bar?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L bar = \sqrt{\frac{70mm \cdot 2 \cdot 11MPa}{10N/m³}}

Next Step Convert Units

∴

L bar = \sqrt{\frac{0.07m \cdot 2 \cdot 1.1E+7Pa}{10N/m³}}

Next Step Prepare to Evaluate

∴

L bar = \sqrt{\frac{0.07 \cdot 2 \cdot 1.1E+7}{10}}

Next Step Evaluate

∴

L bar = 392.428337406972m

Next Step Convert to Output's Unit

∴

L bar = 392428.337406972mm

LAST Step Rounding Answer

∴

L bar = 392428.3374mm

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

Variables

Functions

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 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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Length of Bar

Go Length of Bar given Total Elongation of Bar

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

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 using Total Elongation and Weight per unit volume of bar?

Length of Bar using Total Elongation and Weight per unit volume of bar evaluator uses Length of Bar = sqrt((Total Elongation*2*Modulus of Elasticity Of Bar)/Weight per unit volume) to evaluate the Length of Bar, Length of Bar using Total Elongation and Weight per unit volume of bar formula is defined as a method to determine the length of a bar based on its total elongation and the weight per unit volume. This concept is essential for understanding material behavior under load. Length of Bar is denoted by L_bar symbol.

How to evaluate Length of Bar using Total Elongation and Weight per unit volume of bar using this online evaluator? To use this online evaluator for Length of Bar using Total Elongation and Weight per unit volume of bar, enter Total Elongation (δL), Modulus of Elasticity Of Bar (E_bar) & Weight per unit volume (w) and hit the calculate button.

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

What is the formula to find Length of Bar using Total Elongation and Weight per unit volume of bar?

The formula of Length of Bar using Total Elongation and Weight per unit volume of bar is expressed as Length of Bar = sqrt((Total Elongation*2*Modulus of Elasticity Of Bar)/Weight per unit volume). Here is an example- 3.9E+8 = sqrt((0.07*2*11000000)/10).

How to calculate Length of Bar using Total Elongation and Weight per unit volume of bar?

With Total Elongation (δL), Modulus of Elasticity Of Bar (E_bar) & Weight per unit volume (w) we can find Length of Bar using Total Elongation and Weight per unit volume of bar using the formula - Length of Bar = sqrt((Total Elongation*2*Modulus of Elasticity Of Bar)/Weight per unit volume). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Length of Bar?

Here are the different ways to Calculate Length of Bar-

Length of Bar=(Total Elongation*2*Modulus of Elasticity Of Bar)/Weight by Area

Can the Length of Bar using Total Elongation and Weight per unit volume of bar be negative?

No, the Length of Bar using Total Elongation and Weight per unit volume of bar, measured in Length cannot be negative.

Which unit is used to measure Length of Bar using Total Elongation and Weight per unit volume of bar?

Length of Bar using Total Elongation and Weight per unit volume 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 using Total Elongation and Weight per unit volume of bar can be measured.

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

​GoLength of Bar given Total Elongation of Bar Formula

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

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

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

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

Variable Name

GoLength of Bar given Total Elongation of Bar Formula