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Length of Circular Tapering rod Formula

GoLength of Circular Tapered Rod with Uniform Cross Section Formula

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

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

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

Length of Circular Tapering rod Example

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Here is how the Length of Circular Tapering rod equation looks like with Values.

Here is how the Length of Circular Tapering rod equation looks like with Units.

Here is how the Length of Circular Tapering rod equation looks like.

3.2987 = \frac{0.02}{4 \cdot \frac{150}{3.1416 \cdot 20000 \cdot 0.045 \cdot 0.035}}

3.2987m = \frac{0.02m}{4 \cdot \frac{150kN}{3.1416 \cdot 20000MPa \cdot 0.045m \cdot 0.035m}}

3.2987 = \frac{0.02}{4 \cdot \frac{150}{3.1416 \cdot 20000 \cdot 0.045 \cdot 0.035}}

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Length of Circular Tapering rod Solution

Follow our step by step solution on how to calculate Length of Circular Tapering rod?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = \frac{0.02m}{4 \cdot \frac{150kN}{π \cdot 20000MPa \cdot 0.045m \cdot 0.035m}}

Next Step Substitute values of Constants

∴

L = \frac{0.02m}{4 \cdot \frac{150kN}{3.1416 \cdot 20000MPa \cdot 0.045m \cdot 0.035m}}

Next Step Convert Units

∴

L = \frac{0.02m}{4 \cdot \frac{150000N}{3.1416 \cdot 2E+10Pa \cdot 0.045m \cdot 0.035m}}

Next Step Prepare to Evaluate

∴

L = \frac{0.02}{4 \cdot \frac{150000}{3.1416 \cdot 2E+10 \cdot 0.045 \cdot 0.035}}

Next Step Evaluate

∴

L = 3.29867228626928m

LAST Step Rounding Answer

∴

L = 3.2987m

Length of Circular Tapering rod Formula Elements

Variables

Constants

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

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

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

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 Length

Go Length of Circular Tapered Rod with Uniform Cross Section

L = \frac{δl}{4 \cdot \frac{W Applied load}{π \cdot E \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 Diameter at One End of Circular Tapering Rod

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

How to Evaluate Length of Circular Tapering rod?

Length of Circular Tapering rod evaluator uses Length = Elongation/(4*Applied Load/(pi*Young's Modulus*Diameter1*Diameter2)) to evaluate the Length, The Length of Circular Tapering rod when extension is established is defined as overall length of rod under pull or loaded. Length is denoted by L symbol.

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

FAQs on Length of Circular Tapering rod

What is the formula to find Length of Circular Tapering rod?

The formula of Length of Circular Tapering rod is expressed as Length = Elongation/(4*Applied Load/(pi*Young's Modulus*Diameter1*Diameter2)). Here is an example- 3.298672 = 0.02/(4*150000/(pi*20000000000*0.045*0.035)).

How to calculate Length of Circular Tapering rod?

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

What are the other ways to Calculate Length?

Here are the different ways to Calculate Length-

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

Can the Length of Circular Tapering rod be negative?

No, the Length of Circular Tapering rod, measured in Length cannot be negative.

Which unit is used to measure Length of Circular Tapering rod?

Length of Circular Tapering rod is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Circular Tapering rod can be measured.

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Length of Circular Tapering rod Formula

​GoLength of Circular Tapered Rod with Uniform Cross Section Formula

Length of Circular Tapering rod Example

Length of Circular Tapering rod Solution

Length of Circular Tapering rod Formula Elements

Other Formulas to find Length

Other formulas in Circular Tapering Rod category

How to Evaluate Length of Circular Tapering rod?

FAQs on Length of Circular Tapering rod

Variable Name

GoLength of Circular Tapered Rod with Uniform Cross Section Formula