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Modulus of Elasticity using Elongation of Circular Tapering Rod Formula

GoModulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section Formula

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

E = 4 \cdot W Applied load \cdot \frac{L}{π \cdot δl \cdot d 1 \cdot d 2}

E - Young's Modulus?W_{Applied load} - Applied Load?L - Length?δl - Elongation?d₁ - Diameter1?d₂ - Diameter2?π - Archimedes' constant?

Modulus of Elasticity using Elongation of Circular Tapering Rod Example

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Here is how the Modulus of Elasticity using Elongation of Circular Tapering Rod equation looks like with Values.

Here is how the Modulus of Elasticity using Elongation of Circular Tapering Rod equation looks like with Units.

Here is how the Modulus of Elasticity using Elongation of Circular Tapering Rod equation looks like.

18189.1364 = 4 \cdot 150 \cdot \frac{3}{3.1416 \cdot 0.02 \cdot 0.045 \cdot 0.035}

18189.1364MPa = 4 \cdot 150kN \cdot \frac{3m}{3.1416 \cdot 0.02m \cdot 0.045m \cdot 0.035m}

18189.1364 = 4 \cdot 150 \cdot \frac{3}{3.1416 \cdot 0.02 \cdot 0.045 \cdot 0.035}

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Modulus of Elasticity using Elongation of Circular Tapering Rod Solution

Follow our step by step solution on how to calculate Modulus of Elasticity using Elongation of Circular Tapering Rod?

FIRST Step Consider the formula

E = 4 \cdot W Applied load \cdot \frac{L}{π \cdot δl \cdot d 1 \cdot d 2}

Next Step Substitute values of Variables

∴

E = 4 \cdot 150kN \cdot \frac{3m}{π \cdot 0.02m \cdot 0.045m \cdot 0.035m}

Next Step Substitute values of Constants

∴

E = 4 \cdot 150kN \cdot \frac{3m}{3.1416 \cdot 0.02m \cdot 0.045m \cdot 0.035m}

Next Step Convert Units

∴

E = 4 \cdot 150000N \cdot \frac{3m}{3.1416 \cdot 0.02m \cdot 0.045m \cdot 0.035m}

Next Step Prepare to Evaluate

∴

E = 4 \cdot 150000 \cdot \frac{3}{3.1416 \cdot 0.02 \cdot 0.045 \cdot 0.035}

Next Step Evaluate

∴

E = 18189136353.3595Pa

Next Step Convert to Output's Unit

∴

E = 18189.1363533595MPa

LAST Step Rounding Answer

∴

E = 18189.1364MPa

Modulus of Elasticity using Elongation of Circular Tapering Rod Formula Elements

Variables

Constants

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

Applied Load

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

Symbol: W_{Applied load}

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Applied Load

Length

Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length

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

Diameter1

Diameter1 is the diameter on one side of the rod.

Symbol: d₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Diameter1

Diameter2

Diameter2 is the length of the diameter on 2nd side.

Symbol: d₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter2

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 to find Young's Modulus

Go Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section

E = 4 \cdot W Applied load \cdot \frac{L}{π \cdot δl \cdot (d^{2})}

Other formulas in Circular Tapering Rod category

Go Elongation of Circular Tapering Rod

δl = 4 \cdot W Applied load \cdot \frac{L}{π \cdot E \cdot d 1 \cdot d 2}

Go Load at End with known Extension of Circular Tapering Rod

W Applied load = \frac{δl}{4 \cdot \frac{L}{π \cdot E \cdot d 1 \cdot d 2}}

Go Elongation of Prismatic Rod

δl = 4 \cdot W Applied load \cdot \frac{L}{π \cdot E \cdot (d^{2})}

Go Length of Circular Tapering rod

L = \frac{δl}{4 \cdot \frac{W Applied load}{π \cdot E \cdot d 1 \cdot d 2}}

How to Evaluate Modulus of Elasticity using Elongation of Circular Tapering Rod?

Modulus of Elasticity using Elongation of Circular Tapering Rod evaluator uses Young's Modulus = 4*Applied Load*Length/(pi*Elongation*Diameter1*Diameter2) to evaluate the Young's Modulus, The Modulus of Elasticity using Elongation of Circular Tapering Rod is defined as ratio of stress to strain influencing the tapering rod. Young's Modulus is denoted by E symbol.

How to evaluate Modulus of Elasticity using Elongation of Circular Tapering Rod using this online evaluator? To use this online evaluator for Modulus of Elasticity using Elongation of Circular Tapering Rod, enter Applied Load (W_{Applied load}), Length (L), Elongation (δl), Diameter1 (d₁) & Diameter2 (d₂) and hit the calculate button.

FAQs on Modulus of Elasticity using Elongation of Circular Tapering Rod

What is the formula to find Modulus of Elasticity using Elongation of Circular Tapering Rod?

The formula of Modulus of Elasticity using Elongation of Circular Tapering Rod is expressed as Young's Modulus = 4*Applied Load*Length/(pi*Elongation*Diameter1*Diameter2). Here is an example- 0.018189 = 4*150000*3/(pi*0.02*0.045*0.035).

How to calculate Modulus of Elasticity using Elongation of Circular Tapering Rod?

With Applied Load (W_{Applied load}), Length (L), Elongation (δl), Diameter1 (d₁) & Diameter2 (d₂) we can find Modulus of Elasticity using Elongation of Circular Tapering Rod using the formula - Young's Modulus = 4*Applied Load*Length/(pi*Elongation*Diameter1*Diameter2). This formula also uses Archimedes' constant .

What are the other ways to Calculate Young's Modulus?

Here are the different ways to Calculate Young's Modulus-

Young's Modulus=4*Applied Load*Length/(pi*Elongation*(Diameter of Shaft^2))

Can the Modulus of Elasticity using Elongation of Circular Tapering Rod be negative?

Yes, the Modulus of Elasticity using Elongation of Circular Tapering Rod, measured in Stress can be negative.

Which unit is used to measure Modulus of Elasticity using Elongation of Circular Tapering Rod?

Modulus of Elasticity using Elongation of Circular Tapering Rod is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Modulus of Elasticity using Elongation of Circular Tapering Rod can be measured.

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Modulus of Elasticity using Elongation of Circular Tapering Rod Formula

​GoModulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section Formula

Modulus of Elasticity using Elongation of Circular Tapering Rod Example

Modulus of Elasticity using Elongation of Circular Tapering Rod Solution

Modulus of Elasticity using Elongation of Circular Tapering Rod Formula Elements

Other Formulas to find Young's Modulus

Other formulas in Circular Tapering Rod category

How to Evaluate Modulus of Elasticity using Elongation of Circular Tapering Rod?

FAQs on Modulus of Elasticity using Elongation of Circular Tapering Rod

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GoModulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section Formula