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Elongation of Conical bar due to Self Weight Formula

GoElongation of Conical Bar due to Self Weight with known Cross-sectional area Formula

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Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest). Check FAQs

δl = \frac{γ \cdot {L Taperedbar}^{2}}{6 \cdot E}

δl - Elongation?γ - Specific Weight?L_Taperedbar - Tapered Bar Length?E - Young's Modulus?

Elongation of Conical bar due to Self Weight Example

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Here is how the Elongation of Conical bar due to Self Weight equation looks like with Values.

Here is how the Elongation of Conical bar due to Self Weight equation looks like with Units.

Here is how the Elongation of Conical bar due to Self Weight equation looks like.

0.02 = \frac{70 \cdot 185^{2}}{6 \cdot 20000}

0.02m = \frac{70kN/m³ \cdot {185m}^{2}}{6 \cdot 20000MPa}

0.02 = \frac{70 \cdot 185^{2}}{6 \cdot 20000}

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Elongation of Conical bar due to Self Weight Solution

Follow our step by step solution on how to calculate Elongation of Conical bar due to Self Weight?

FIRST Step Consider the formula

δl = \frac{γ \cdot {L Taperedbar}^{2}}{6 \cdot E}

Next Step Substitute values of Variables

∴

δl = \frac{70kN/m³ \cdot {185m}^{2}}{6 \cdot 20000MPa}

Next Step Convert Units

∴

δl = \frac{70000N/m³ \cdot {185m}^{2}}{6 \cdot 2E+10Pa}

Next Step Prepare to Evaluate

∴

δl = \frac{70000 \cdot 185^{2}}{6 \cdot 2E+10}

Next Step Evaluate

∴

δl = 0.0199645833333333m

LAST Step Rounding Answer

∴

δl = 0.02m

Elongation of Conical bar due to Self Weight Formula Elements

Variables

Elongation

Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).

Symbol: δl

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Elongation

Specific Weight

Specific Weight is defined as weight per unit volume.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value can be positive or negative.

Formulas to find Specific Weight

Tapered Bar Length

The Tapered Bar Length is defined as the total length of the Bar.

Symbol: L_Taperedbar

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Tapered Bar Length

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Young's Modulus

Other Formulas to find Elongation

Go Elongation of Conical Bar due to Self Weight with known Cross-sectional area

δl = W Load \cdot \frac{l}{6 \cdot A \cdot E}

Other formulas in Elongation of Tapering Bar due to Self Weight category

Go Length of Circular Tapering Rod when deflection due to load

L = \frac{δl}{4 \cdot \frac{W Load}{π \cdot E \cdot (d 1 \cdot d 2)}}

Go Self Weight of Prismatic Bar with known Elongation

γ = \frac{δl}{L \cdot \frac{L}{E \cdot 2}}

Go Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight

E = γ \cdot L \cdot \frac{L}{δl \cdot 2}

Go Load on Prismatic Bar with known Elongation due to Self Weight

W Load = \frac{δl}{\frac{L}{2 \cdot A \cdot E}}

How to Evaluate Elongation of Conical bar due to Self Weight?

Elongation of Conical bar due to Self Weight evaluator uses Elongation = (Specific Weight*Tapered Bar Length^2)/(6*Young's Modulus) to evaluate the Elongation, The Elongation of Conical Bar due to Self Weight formula is defined as change in length of tapering rod, The elongation of the bar is directly proportional to the tensile force and the length of the bar and inversely proportional to the cross-sectional area and the modulus of elasticity. Elongation is denoted by δl symbol.

How to evaluate Elongation of Conical bar due to Self Weight using this online evaluator? To use this online evaluator for Elongation of Conical bar due to Self Weight, enter Specific Weight (γ), Tapered Bar Length (L_Taperedbar) & Young's Modulus (E) and hit the calculate button.

FAQs on Elongation of Conical bar due to Self Weight

What is the formula to find Elongation of Conical bar due to Self Weight?

The formula of Elongation of Conical bar due to Self Weight is expressed as Elongation = (Specific Weight*Tapered Bar Length^2)/(6*Young's Modulus). Here is an example- 3.5E-5 = (70000*185^2)/(6*20000000000).

How to calculate Elongation of Conical bar due to Self Weight?

With Specific Weight (γ), Tapered Bar Length (L_Taperedbar) & Young's Modulus (E) we can find Elongation of Conical bar due to Self Weight using the formula - Elongation = (Specific Weight*Tapered Bar Length^2)/(6*Young's Modulus).

What are the other ways to Calculate Elongation?

Here are the different ways to Calculate Elongation-

Elongation=Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus)

Can the Elongation of Conical bar due to Self Weight be negative?

Yes, the Elongation of Conical bar due to Self Weight, measured in Length can be negative.

Which unit is used to measure Elongation of Conical bar due to Self Weight?

Elongation of Conical bar due to Self Weight is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Elongation of Conical bar due to Self Weight can be measured.

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Elongation of Conical bar due to Self Weight Formula

​GoElongation of Conical Bar due to Self Weight with known Cross-sectional area Formula

Elongation of Conical bar due to Self Weight Example

Elongation of Conical bar due to Self Weight Solution

Elongation of Conical bar due to Self Weight Formula Elements

Other Formulas to find Elongation

Other formulas in Elongation of Tapering Bar due to Self Weight category

How to Evaluate Elongation of Conical bar due to Self Weight?

FAQs on Elongation of Conical bar due to Self Weight

Variable Name

GoElongation of Conical Bar due to Self Weight with known Cross-sectional area Formula