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

GoTotal elongation 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{w \cdot ({L bar}^{2})}{2 \cdot E bar}

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

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

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Here is how the Bar's total elongation if weight given per unit volume of bar equation looks like with Values.

Here is how the Bar's total elongation if weight given per unit volume of bar equation looks like with Units.

Here is how the Bar's total elongation if weight given per unit volume of bar equation looks like.

3E-5 = \frac{10 \cdot ({256.66}^{2})}{2 \cdot 11}

3E-5mm = \frac{10N/m³ \cdot ({256.66mm}^{2})}{2 \cdot 11MPa}

3E-5 = \frac{10 \cdot ({256.66}^{2})}{2 \cdot 11}

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

Follow our step by step solution on how to calculate Bar's total elongation if weight given per unit volume of bar?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δL = \frac{10N/m³ \cdot ({256.66mm}^{2})}{2 \cdot 11MPa}

Next Step Convert Units

∴

δL = \frac{10N/m³ \cdot ({0.2567m}^{2})}{2 \cdot 1.1E+7Pa}

Next Step Prepare to Evaluate

∴

δL = \frac{10 \cdot ({0.2567}^{2})}{2 \cdot 1.1E+7}

Next Step Evaluate

∴

δL = 2.99428889090909E-08m

Next Step Convert to Output's Unit

∴

δL = 2.99428889090909E-05mm

LAST Step Rounding Answer

∴

δL = 3E-5mm

Bar's total elongation if weight given per unit volume 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 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

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 Total elongation of bar

δL = \frac{ρ A \cdot L bar}{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 Bar's total elongation if weight given per unit volume of bar?

Bar's total elongation if weight given per unit volume of bar evaluator uses Total Elongation = (Weight per unit volume*(Length of Bar^2))/(2*Modulus of Elasticity Of Bar) to evaluate the Total Elongation, Bar's total elongation if weight given per unit volume of bar formula is defined as a measure of the elongation experienced by a bar due to its own weight. This concept is crucial in understanding how materials deform under their own gravitational forces. Total Elongation is denoted by δL symbol.

How to evaluate Bar's total elongation if weight given per unit volume of bar using this online evaluator? To use this online evaluator for Bar's total elongation if weight given per unit volume of bar, enter Weight per unit volume (w), Length of Bar (L_bar) & Modulus of Elasticity Of Bar (E_bar) and hit the calculate button.

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

What is the formula to find Bar's total elongation if weight given per unit volume of bar?

The formula of Bar's total elongation if weight given per unit volume of bar is expressed as Total Elongation = (Weight per unit volume*(Length of Bar^2))/(2*Modulus of Elasticity Of Bar). Here is an example- 1.818182 = (10*(0.25666^2))/(2*11000000).

How to calculate Bar's total elongation if weight given per unit volume of bar?

With Weight per unit volume (w), Length of Bar (L_bar) & Modulus of Elasticity Of Bar (E_bar) we can find Bar's total elongation if weight given per unit volume of bar using the formula - Total Elongation = (Weight per unit volume*(Length of Bar^2))/(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 by Area*Length of Bar)/(2*Modulus of Elasticity Of Bar)

Can the Bar's total elongation if weight given per unit volume of bar be negative?

No, the Bar's total elongation if weight given per unit volume of bar, measured in Length cannot be negative.

Which unit is used to measure Bar's total elongation if weight given per unit volume of bar?

Bar's total elongation if weight given 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 Bar's total elongation if weight given per unit volume of bar can be measured.

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

​GoTotal elongation of bar Formula

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

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

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

Other Formulas to find Total Elongation

Other formulas in Elongation of Bar due its Own Weight category

How to Evaluate Bar's total elongation if weight given per unit volume of bar?

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

Variable Name

GoTotal elongation of bar Formula