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Total elongation of bar Formula

GoBar's total elongation if weight given per unit volume of bar Formula

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

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

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

Total elongation of bar Example

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Here is how the Total elongation of bar equation looks like with Values.

Here is how the Total elongation of bar equation looks like with Units.

Here is how the Total elongation of bar equation looks like.

69.9982 = \frac{6 \cdot 256.66}{2 \cdot 11}

69.9982mm = \frac{6MPa \cdot 256.66mm}{2 \cdot 11MPa}

69.9982 = \frac{6 \cdot 256.66}{2 \cdot 11}

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Total elongation of bar Solution

Follow our step by step solution on how to calculate Total elongation of bar?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δL = \frac{6MPa \cdot 256.66mm}{2 \cdot 11MPa}

Next Step Convert Units

∴

δL = \frac{6E+6Pa \cdot 0.2567m}{2 \cdot 1.1E+7Pa}

Next Step Prepare to Evaluate

∴

δL = \frac{6E+6 \cdot 0.2567}{2 \cdot 1.1E+7}

Next Step Evaluate

∴

δL = 0.0699981818181818m

Next Step Convert to Output's Unit

∴

δL = 69.9981818181818mm

LAST Step Rounding Answer

∴

δL = 69.9982mm

Total elongation of bar Formula Elements

Variables

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

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

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

Other Formulas to find Total Elongation

Go Bar's total elongation if weight given per unit volume of bar

δL = \frac{w \cdot ({L bar}^{2})}{2 \cdot E 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 Elongation of element

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

How to Evaluate Total elongation of bar?

Total elongation of bar evaluator uses Total Elongation = (Weight by Area*Length of Bar)/(2*Modulus of Elasticity Of Bar) to evaluate the Total Elongation, Total elongation of bar formula is defined as a measure of the increase in length of a bar due to its own weight. This elongation occurs under the influence of gravitational forces and material properties, reflecting how materials deform under load. Total Elongation is denoted by δL symbol.

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

FAQs on Total elongation of bar

What is the formula to find Total elongation of bar?

The formula of Total elongation of bar is expressed as Total Elongation = (Weight by Area*Length of Bar)/(2*Modulus of Elasticity Of Bar). Here is an example- 545454.5 = (6000000*0.25666)/(2*11000000).

How to calculate Total elongation of bar?

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

What are the other ways to Calculate Total Elongation?

Here are the different ways to Calculate Total Elongation-

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

Can the Total elongation of bar be negative?

No, the Total elongation of bar, measured in Length cannot be negative.

Which unit is used to measure Total elongation of bar?

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 Total elongation of bar can be measured.

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Total elongation of bar Formula

​GoBar's total elongation if weight given per unit volume of bar Formula

Total elongation of bar Example

Total elongation of bar Solution

Total elongation of bar Formula Elements

Other Formulas to find Total Elongation

Other formulas in Elongation of Bar due its Own Weight category

How to Evaluate Total elongation of bar?

FAQs on Total elongation of bar

Variable Name

GoBar's total elongation if weight given per unit volume of bar Formula