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Length of Circular Tapered Rod with Uniform Cross Section Formula

GoLength of Circular Tapering rod 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^{2})}}

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

Length of Circular Tapered Rod with Uniform Cross Section Example

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

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

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

30.1593 = \frac{0.02}{4 \cdot \frac{150}{3.1416 \cdot 20000 \cdot ({0.12}^{2})}}

30.1593m = \frac{0.02m}{4 \cdot \frac{150kN}{3.1416 \cdot 20000MPa \cdot ({0.12m}^{2})}}

30.1593 = \frac{0.02}{4 \cdot \frac{150}{3.1416 \cdot 20000 \cdot ({0.12}^{2})}}

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Length of Circular Tapered Rod with Uniform Cross Section Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = \frac{0.02m}{4 \cdot \frac{150kN}{π \cdot 20000MPa \cdot ({0.12m}^{2})}}

Next Step Substitute values of Constants

∴

L = \frac{0.02m}{4 \cdot \frac{150kN}{3.1416 \cdot 20000MPa \cdot ({0.12m}^{2})}}

Next Step Convert Units

∴

L = \frac{0.02m}{4 \cdot \frac{150000N}{3.1416 \cdot 2E+10Pa \cdot ({0.12m}^{2})}}

Next Step Prepare to Evaluate

∴

L = \frac{0.02}{4 \cdot \frac{150000}{3.1416 \cdot 2E+10 \cdot ({0.12}^{2})}}

Next Step Evaluate

∴

L = 30.159289474462m

LAST Step Rounding Answer

∴

L = 30.1593m

Length of Circular Tapered Rod with Uniform Cross Section 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

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

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 Tapering rod

L = \frac{δl}{4 \cdot \frac{W Applied load}{π \cdot E \cdot d 1 \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 Tapered Rod with Uniform Cross Section?

Length of Circular Tapered Rod with Uniform Cross Section evaluator uses Length = Elongation/(4*Applied Load/(pi*Young's Modulus*(Diameter of Shaft^2))) to evaluate the Length, The Length of Circular Tapered Rod with Uniform Cross Section is defined as overall length of pull influencing the extension of the bar. Length is denoted by L symbol.

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

FAQs on Length of Circular Tapered Rod with Uniform Cross Section

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

The formula of Length of Circular Tapered Rod with Uniform Cross Section is expressed as Length = Elongation/(4*Applied Load/(pi*Young's Modulus*(Diameter of Shaft^2))). Here is an example- 30.15929 = 0.02/(4*150000/(pi*20000000000*(0.12^2))).

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

With Elongation (δl), Applied Load (W_{Applied load}), Young's Modulus (E) & Diameter of Shaft (d) we can find Length of Circular Tapered Rod with Uniform Cross Section using the formula - Length = Elongation/(4*Applied Load/(pi*Young's Modulus*(Diameter of Shaft^2))). 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*Diameter1*Diameter2))

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

No, the Length of Circular Tapered Rod with Uniform Cross Section, measured in Length cannot be negative.

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

Length 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 Length of Circular Tapered Rod with Uniform Cross Section can be measured.

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Length of Circular Tapered Rod with Uniform Cross Section Formula

​GoLength of Circular Tapering rod Formula

Length of Circular Tapered Rod with Uniform Cross Section Example

Length of Circular Tapered Rod with Uniform Cross Section Solution

Length of Circular Tapered Rod with Uniform Cross Section Formula Elements

Other Formulas to find Length

Other formulas in Circular Tapering Rod category

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

FAQs on Length of Circular Tapered Rod with Uniform Cross Section

Variable Name

GoLength of Circular Tapering rod Formula