FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

GoElongation of Conical bar due to Self Weight Formula

Fx Copy

LaTeX Copy

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

δl - Elongation?W_Load - Applied Load SOM?l - Length of Tapered Bar?A - Area of Cross-Section?E - Young's Modulus?

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

With values

With units

Only example

Here is how the Elongation of Conical Bar due to Self Weight with known Cross-sectional area equation looks like with Values.

Here is how the Elongation of Conical Bar due to Self Weight with known Cross-sectional area equation looks like with Units.

Here is how the Elongation of Conical Bar due to Self Weight with known Cross-sectional area equation looks like.

0.0203 = 1750 \cdot \frac{7.8}{6 \cdot 5600 \cdot 20000}

0.0203m = 1750kN \cdot \frac{7.8m}{6 \cdot 5600mm² \cdot 20000MPa}

0.0203 = 1750 \cdot \frac{7.8}{6 \cdot 5600 \cdot 20000}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Strength of Materials » fx Elongation of Conical Bar due to Self Weight with known Cross-sectional area

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

Follow our step by step solution on how to calculate Elongation of Conical Bar due to Self Weight with known Cross-sectional area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δl = 1750kN \cdot \frac{7.8m}{6 \cdot 5600mm² \cdot 20000MPa}

Next Step Convert Units

∴

δl = 1.8E+6N \cdot \frac{7.8m}{6 \cdot 0.0056m² \cdot 2E+10Pa}

Next Step Prepare to Evaluate

∴

δl = 1.8E+6 \cdot \frac{7.8}{6 \cdot 0.0056 \cdot 2E+10}

Next Step Evaluate

∴

δl = 0.0203125m

LAST Step Rounding Answer

∴

δl = 0.0203m

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

Applied Load SOM

The Applied Load SOM is a force imposed on an object by a person or another object.

Symbol: W_Load

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Applied Load SOM

Length of Tapered Bar

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

Symbol: l

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Tapered Bar

Area of Cross-Section

Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Cross-Section

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

δl = \frac{γ \cdot {L Taperedbar}^{2}}{6 \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 with known Cross-sectional area?

Elongation of Conical Bar due to Self Weight with known Cross-sectional area evaluator uses Elongation = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus) to evaluate the Elongation, The Elongation of Conical Bar due to Self Weight with known Cross-sectional area formula is defined as change in length. Elongation is denoted by δl symbol.

How to evaluate Elongation of Conical Bar due to Self Weight with known Cross-sectional area using this online evaluator? To use this online evaluator for Elongation of Conical Bar due to Self Weight with known Cross-sectional area, enter Applied Load SOM (W_Load), Length of Tapered Bar (l), Area of Cross-Section (A) & Young's Modulus (E) and hit the calculate button.

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

What is the formula to find Elongation of Conical Bar due to Self Weight with known Cross-sectional area?

The formula of Elongation of Conical Bar due to Self Weight with known Cross-sectional area is expressed as Elongation = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus). Here is an example- 0.020312 = 1750000*7.8/(6*0.0056*20000000000).

How to calculate Elongation of Conical Bar due to Self Weight with known Cross-sectional area?

With Applied Load SOM (W_Load), Length of Tapered Bar (l), Area of Cross-Section (A) & Young's Modulus (E) we can find Elongation of Conical Bar due to Self Weight with known Cross-sectional area using the formula - Elongation = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus).

What are the other ways to Calculate Elongation?

Here are the different ways to Calculate Elongation-

Elongation=(Specific Weight*Tapered Bar Length^2)/(6*Young's Modulus)

Can the Elongation of Conical Bar due to Self Weight with known Cross-sectional area be negative?

Yes, the Elongation of Conical Bar due to Self Weight with known Cross-sectional area, measured in Length can be negative.

Which unit is used to measure Elongation of Conical Bar due to Self Weight with known Cross-sectional area?

Elongation of Conical Bar due to Self Weight with known Cross-sectional area 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 with known Cross-sectional area can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

​GoElongation of Conical bar due to Self Weight Formula

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

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

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

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

Variable Name

GoElongation of Conical bar due to Self Weight Formula