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Diameter at One End of Circular Tapering Rod Formula

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

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

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

Diameter at One End of Circular Tapering Rod Example

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Here is how the Diameter at One End of Circular Tapering Rod equation looks like with Values.

Here is how the Diameter at One End of Circular Tapering Rod equation looks like with Units.

Here is how the Diameter at One End of Circular Tapering Rod equation looks like.

0.0318 = 4 \cdot 150 \cdot \frac{3}{3.1416 \cdot 20000 \cdot 0.02 \cdot 0.045}

0.0318m = 4 \cdot 150kN \cdot \frac{3m}{3.1416 \cdot 20000MPa \cdot 0.02m \cdot 0.045m}

0.0318 = 4 \cdot 150 \cdot \frac{3}{3.1416 \cdot 20000 \cdot 0.02 \cdot 0.045}

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Diameter at One End of Circular Tapering Rod Solution

Follow our step by step solution on how to calculate Diameter at One End of Circular Tapering Rod?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 2 = 4 \cdot 150kN \cdot \frac{3m}{π \cdot 20000MPa \cdot 0.02m \cdot 0.045m}

Next Step Substitute values of Constants

∴

d 2 = 4 \cdot 150kN \cdot \frac{3m}{3.1416 \cdot 20000MPa \cdot 0.02m \cdot 0.045m}

Next Step Convert Units

∴

d 2 = 4 \cdot 150000N \cdot \frac{3m}{3.1416 \cdot 2E+10Pa \cdot 0.02m \cdot 0.045m}

Next Step Prepare to Evaluate

∴

d 2 = 4 \cdot 150000 \cdot \frac{3}{3.1416 \cdot 2E+10 \cdot 0.02 \cdot 0.045}

Next Step Evaluate

∴

d 2 = 0.0318309886183791m

LAST Step Rounding Answer

∴

d 2 = 0.0318m

Diameter at One End of Circular Tapering Rod Formula Elements

Variables

Constants

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

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

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

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

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 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 Diameter at One End of Circular Tapering Rod?

Diameter at One End of Circular Tapering Rod evaluator uses Diameter2 = 4*Applied Load*Length/(pi*Young's Modulus*Elongation*Diameter1) to evaluate the Diameter2, The Diameter at One End of Circular Tapering Rod when extension is established is defined as cross section at one side of rod. Diameter2 is denoted by d₂ symbol.

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

FAQs on Diameter at One End of Circular Tapering Rod

What is the formula to find Diameter at One End of Circular Tapering Rod?

The formula of Diameter at One End of Circular Tapering Rod is expressed as Diameter2 = 4*Applied Load*Length/(pi*Young's Modulus*Elongation*Diameter1). Here is an example- 0.031831 = 4*150000*3/(pi*20000000000*0.02*0.045).

How to calculate Diameter at One End of Circular Tapering Rod?

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

Can the Diameter at One End of Circular Tapering Rod be negative?

No, the Diameter at One End of Circular Tapering Rod, measured in Length cannot be negative.

Which unit is used to measure Diameter at One End of Circular Tapering Rod?

Diameter at One End 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 Diameter at One End of Circular Tapering Rod can be measured.

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Diameter at One End of Circular Tapering Rod Formula

Diameter at One End of Circular Tapering Rod Example

Diameter at One End of Circular Tapering Rod Solution

Diameter at One End of Circular Tapering Rod Formula Elements

Other formulas in Circular Tapering Rod category

How to Evaluate Diameter at One End of Circular Tapering Rod?

FAQs on Diameter at One End of Circular Tapering Rod

Variable Name