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Diameter of Circular Tapered Rod with Uniform Cross Section Formula

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The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power. Check FAQs

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

d - Diameter of Shaft?W_{Applied load} - Applied Load?L - Length?E - Young's Modulus?δl - Elongation?π - Archimedes' constant?

Diameter of Circular Tapered Rod with Uniform Cross Section Example

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Here is how the Diameter of Circular Tapered Rod with Uniform Cross Section equation looks like with Values.

Here is how the Diameter of Circular Tapered Rod with Uniform Cross Section equation looks like with Units.

Here is how the Diameter of Circular Tapered Rod with Uniform Cross Section equation looks like.

0.0378 = \sqrt{4 \cdot 150 \cdot \frac{3}{3.1416 \cdot 20000 \cdot 0.02}}

0.0378m = \sqrt{4 \cdot 150kN \cdot \frac{3m}{3.1416 \cdot 20000MPa \cdot 0.02m}}

0.0378 = \sqrt{4 \cdot 150 \cdot \frac{3}{3.1416 \cdot 20000 \cdot 0.02}}

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Diameter of Circular Tapered Rod with Uniform Cross Section Solution

Follow our step by step solution on how to calculate Diameter of Circular Tapered Rod with Uniform Cross Section?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

d = 0.0378469878303024m

LAST Step Rounding Answer

∴

d = 0.0378m

Diameter of Circular Tapered Rod with Uniform Cross Section Formula Elements

Variables

Constants

Functions

Diameter of Shaft

The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Diameter of Shaft

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 of Circular Tapered Rod with Uniform Cross Section?

Diameter of Circular Tapered Rod with Uniform Cross Section evaluator uses Diameter of Shaft = sqrt(4*Applied Load*Length/(pi*Young's Modulus*Elongation)) to evaluate the Diameter of Shaft, The Diameter of Circular Tapered Rod with Uniform Cross Section is defined as width of section at any point in the overall length. Diameter of Shaft is denoted by d symbol.

How to evaluate Diameter of Circular Tapered Rod with Uniform Cross Section using this online evaluator? To use this online evaluator for Diameter of Circular Tapered Rod with Uniform Cross Section, enter Applied Load (W_{Applied load}), Length (L), Young's Modulus (E) & Elongation (δl) and hit the calculate button.

FAQs on Diameter of Circular Tapered Rod with Uniform Cross Section

What is the formula to find Diameter of Circular Tapered Rod with Uniform Cross Section?

The formula of Diameter of Circular Tapered Rod with Uniform Cross Section is expressed as Diameter of Shaft = sqrt(4*Applied Load*Length/(pi*Young's Modulus*Elongation)). Here is an example- 0.037847 = sqrt(4*150000*3/(pi*20000000000*0.02)).

How to calculate Diameter of Circular Tapered Rod with Uniform Cross Section?

With Applied Load (W_{Applied load}), Length (L), Young's Modulus (E) & Elongation (δl) we can find Diameter of Circular Tapered Rod with Uniform Cross Section using the formula - Diameter of Shaft = sqrt(4*Applied Load*Length/(pi*Young's Modulus*Elongation)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Diameter of Circular Tapered Rod with Uniform Cross Section be negative?

Yes, the Diameter of Circular Tapered Rod with Uniform Cross Section, measured in Length can be negative.

Which unit is used to measure Diameter of Circular Tapered Rod with Uniform Cross Section?

Diameter of Circular Tapered Rod with Uniform Cross Section is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Circular Tapered Rod with Uniform Cross Section can be measured.

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Diameter of Circular Tapered Rod with Uniform Cross Section Formula

Diameter of Circular Tapered Rod with Uniform Cross Section Example

Diameter of Circular Tapered Rod with Uniform Cross Section Solution

Diameter of Circular Tapered Rod with Uniform Cross Section Formula Elements

Other formulas in Circular Tapering Rod category

How to Evaluate Diameter of Circular Tapered Rod with Uniform Cross Section?

FAQs on Diameter of Circular Tapered Rod with Uniform Cross Section

Variable Name