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Length of Circular Tapering Rod when deflection due to load Formula

GoLength of Prismatic Rod given Elongation due to Self Weight in Uniform Bar 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 Load}{π \cdot E \cdot (d 1 \cdot d 2)}}

L - Length?δl - Elongation?W_Load - Applied Load SOM?E - Young's Modulus?d₁ - Diameter1?d₂ - Diameter2?π - Archimedes' constant?

Length of Circular Tapering Rod when deflection due to load Example

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Here is how the Length of Circular Tapering Rod when deflection due to load equation looks like with Values.

Here is how the Length of Circular Tapering Rod when deflection due to load equation looks like with Units.

Here is how the Length of Circular Tapering Rod when deflection due to load equation looks like.

0.2827 = \frac{0.02}{4 \cdot \frac{1750}{3.1416 \cdot 20000 \cdot (0.045 \cdot 0.035)}}

0.2827m = \frac{0.02m}{4 \cdot \frac{1750kN}{3.1416 \cdot 20000MPa \cdot (0.045m \cdot 0.035m)}}

0.2827 = \frac{0.02}{4 \cdot \frac{1750}{3.1416 \cdot 20000 \cdot (0.045 \cdot 0.035)}}

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Length of Circular Tapering Rod when deflection due to load Solution

Follow our step by step solution on how to calculate Length of Circular Tapering Rod when deflection due to load?

FIRST Step Consider the formula

L = \frac{δl}{4 \cdot \frac{W Load}{π \cdot E \cdot (d 1 \cdot d 2)}}

Next Step Substitute values of Variables

∴

L = \frac{0.02m}{4 \cdot \frac{1750kN}{π \cdot 20000MPa \cdot (0.045m \cdot 0.035m)}}

Next Step Substitute values of Constants

∴

L = \frac{0.02m}{4 \cdot \frac{1750kN}{3.1416 \cdot 20000MPa \cdot (0.045m \cdot 0.035m)}}

Next Step Convert Units

∴

L = \frac{0.02m}{4 \cdot \frac{1.8E+6N}{3.1416 \cdot 2E+10Pa \cdot (0.045m \cdot 0.035m)}}

Next Step Prepare to Evaluate

∴

L = \frac{0.02}{4 \cdot \frac{1.8E+6}{3.1416 \cdot 2E+10 \cdot (0.045 \cdot 0.035)}}

Next Step Evaluate

∴

L = 0.282743338823081m

LAST Step Rounding Answer

∴

L = 0.2827m

Length of Circular Tapering Rod when deflection due to load 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 SOM

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

Symbol: W_Load

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Applied Load SOM

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 Prismatic Rod given Elongation due to Self Weight in Uniform Bar

L = \frac{δl}{\frac{W Load}{2 \cdot A \cdot E}}

Other formulas in Elongation of Tapering Bar due to Self Weight category

Go Self Weight of Prismatic Bar with known Elongation

γ = \frac{δl}{L \cdot \frac{L}{E \cdot 2}}

Go Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight

E = γ \cdot L \cdot \frac{L}{δl \cdot 2}

Go Load on Prismatic Bar with known Elongation due to Self Weight

W Load = \frac{δl}{\frac{L}{2 \cdot A \cdot E}}

Go Self Weight of Conical section with known Elongation

γ = \frac{δl}{\frac{{L Taperedbar}^{2}}{6 \cdot E}}

How to Evaluate Length of Circular Tapering Rod when deflection due to load?

Length of Circular Tapering Rod when deflection due to load evaluator uses Length = Elongation/(4*Applied Load SOM/(pi*Young's Modulus*(Diameter1*Diameter2))) to evaluate the Length, The Length of Circular Tapering Rod when deflection due to load is defined as the pull applied on the rod. Length is denoted by L symbol.

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

FAQs on Length of Circular Tapering Rod when deflection due to load

What is the formula to find Length of Circular Tapering Rod when deflection due to load?

The formula of Length of Circular Tapering Rod when deflection due to load is expressed as Length = Elongation/(4*Applied Load SOM/(pi*Young's Modulus*(Diameter1*Diameter2))). Here is an example- 3.298672 = 0.02/(4*1750000/(pi*20000000000*(0.045*0.035))).

How to calculate Length of Circular Tapering Rod when deflection due to load?

With Elongation (δl), Applied Load SOM (W_Load), Young's Modulus (E), Diameter1 (d₁) & Diameter2 (d₂) we can find Length of Circular Tapering Rod when deflection due to load using the formula - Length = Elongation/(4*Applied Load SOM/(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/(Applied Load SOM/(2*Area of Cross-Section*Young's Modulus))

Can the Length of Circular Tapering Rod when deflection due to load be negative?

No, the Length of Circular Tapering Rod when deflection due to load, measured in Length cannot be negative.

Which unit is used to measure Length of Circular Tapering Rod when deflection due to load?

Length of Circular Tapering Rod when deflection due to load 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 when deflection due to load can be measured.

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Length of Circular Tapering Rod when deflection due to load Formula

​GoLength of Prismatic Rod given Elongation due to Self Weight in Uniform Bar Formula

Length of Circular Tapering Rod when deflection due to load Example

Length of Circular Tapering Rod when deflection due to load Solution

Length of Circular Tapering Rod when deflection due to load Formula Elements

Other Formulas to find Length

Other formulas in Elongation of Tapering Bar due to Self Weight category

How to Evaluate Length of Circular Tapering Rod when deflection due to load?

FAQs on Length of Circular Tapering Rod when deflection due to load

Variable Name

GoLength of Prismatic Rod given Elongation due to Self Weight in Uniform Bar Formula