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Elongation Circular Tapered Bar Formula

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Elongation in Circular Tapered Bar is the change in length of the circular tapered bar due to subjected load. Check FAQs

Δ c = \frac{4 \cdot W load \cdot L bar}{π \cdot D 1 \cdot D 2 \cdot e}

Δ_c - Elongation in Circular Tapered Bar?W_load - Load?L_bar - Length of Bar?D₁ - Diameter of Bigger End?D₂ - Diameter of Smaller End?e - Elastic Modulus?π - Archimedes' constant?

Elongation Circular Tapered Bar Example

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Here is how the Elongation Circular Tapered Bar equation looks like with Values.

Here is how the Elongation Circular Tapered Bar equation looks like with Units.

Here is how the Elongation Circular Tapered Bar equation looks like.

7051.7882 = \frac{4 \cdot 3.6 \cdot 2000}{3.1416 \cdot 5200 \cdot 5000 \cdot 50}

7051.7882mm = \frac{4 \cdot 3.6kN \cdot 2000mm}{3.1416 \cdot 5200mm \cdot 5000mm \cdot 50Pa}

7051.7882 = \frac{4 \cdot 3.6 \cdot 2000}{3.1416 \cdot 5200 \cdot 5000 \cdot 50}

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Elongation Circular Tapered Bar Solution

Follow our step by step solution on how to calculate Elongation Circular Tapered Bar?

FIRST Step Consider the formula

Δ c = \frac{4 \cdot W load \cdot L bar}{π \cdot D 1 \cdot D 2 \cdot e}

Next Step Substitute values of Variables

∴

Δ c = \frac{4 \cdot 3.6kN \cdot 2000mm}{π \cdot 5200mm \cdot 5000mm \cdot 50Pa}

Next Step Substitute values of Constants

∴

Δ c = \frac{4 \cdot 3.6kN \cdot 2000mm}{3.1416 \cdot 5200mm \cdot 5000mm \cdot 50Pa}

Next Step Convert Units

∴

Δ c = \frac{4 \cdot 3600N \cdot 2m}{3.1416 \cdot 5.2m \cdot 5m \cdot 50Pa}

Next Step Prepare to Evaluate

∴

Δ c = \frac{4 \cdot 3600 \cdot 2}{3.1416 \cdot 5.2 \cdot 5 \cdot 50}

Next Step Evaluate

∴

Δ c = 7.05178824776398m

Next Step Convert to Output's Unit

∴

Δ c = 7051.78824776398mm

LAST Step Rounding Answer

∴

Δ c = 7051.7882mm

Elongation Circular Tapered Bar Formula Elements

Variables

Constants

Elongation in Circular Tapered Bar

Elongation in Circular Tapered Bar is the change in length of the circular tapered bar due to subjected load.

Symbol: Δ_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Elongation in Circular Tapered Bar

Load

Load is the instantaneous load applied perpendicular to the specimen cross-section.

Symbol: W_load

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Load

Length of Bar

Length of Bar refers to the distance from one end of a structural or mechanical bar to the other.

Symbol: L_bar

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Bar

Diameter of Bigger End

The Diameter of Bigger End is the diameter of larger end of circular tapered bar.

Symbol: D₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Bigger End

Diameter of Smaller End

The Diameter of Smaller End is diameter of smaller end of circular tapered bar.

Symbol: D₂

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Smaller End

Elastic Modulus

The Elastic Modulus is a fundamental property that quantifies the stiffness of a material. It is defined as the ratio of stress to strain within the elastic range of a material.

Symbol: e

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Elastic Modulus

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Stress and Strain category

Go Moment of Inertia for Hollow Circular Shaft

J h = \frac{π}{32} \cdot ({d ho}^{4} - {d hi}^{4})

Go Moment of Inertia about Polar Axis

J = \frac{π \cdot {d s}^{4}}{32}

Go Elongation of Prismatic Bar due to its Own Weight

Δ p = \frac{W load \cdot L bar}{2 \cdot A \cdot e}

Go Deflection of Fixed Beam with Uniformly Distributed Load

d = \frac{W beam \cdot {L beam}^{4}}{384 \cdot e \cdot I}

How to Evaluate Elongation Circular Tapered Bar?

Elongation Circular Tapered Bar evaluator uses Elongation in Circular Tapered Bar = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus) to evaluate the Elongation in Circular Tapered Bar, The Elongation Circular Tapered Bar formula is defined as a measure of the change in length of a circular tapered bar under axial loading, providing a critical parameter in the analysis of stress and strain in mechanical systems, particularly in the design of shafts, axles, and other mechanical components. Elongation in Circular Tapered Bar is denoted by Δ_c symbol.

How to evaluate Elongation Circular Tapered Bar using this online evaluator? To use this online evaluator for Elongation Circular Tapered Bar, enter Load (W_load), Length of Bar (L_bar), Diameter of Bigger End (D₁), Diameter of Smaller End (D₂) & Elastic Modulus (e) and hit the calculate button.

FAQs on Elongation Circular Tapered Bar

What is the formula to find Elongation Circular Tapered Bar?

The formula of Elongation Circular Tapered Bar is expressed as Elongation in Circular Tapered Bar = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus). Here is an example- 7.1E+6 = (4*3600*2)/(pi*5.2*5*50).

How to calculate Elongation Circular Tapered Bar?

With Load (W_load), Length of Bar (L_bar), Diameter of Bigger End (D₁), Diameter of Smaller End (D₂) & Elastic Modulus (e) we can find Elongation Circular Tapered Bar using the formula - Elongation in Circular Tapered Bar = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus). This formula also uses Archimedes' constant .

Can the Elongation Circular Tapered Bar be negative?

No, the Elongation Circular Tapered Bar, measured in Length cannot be negative.

Which unit is used to measure Elongation Circular Tapered Bar?

Elongation Circular Tapered Bar is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Elongation Circular Tapered Bar can be measured.

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Elongation Circular Tapered Bar Formula

Elongation Circular Tapered Bar Example

Elongation Circular Tapered Bar Solution

Elongation Circular Tapered Bar Formula Elements

Other formulas in Stress and Strain category

How to Evaluate Elongation Circular Tapered Bar?

FAQs on Elongation Circular Tapered Bar

Variable Name