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Load at End with known Extension of Circular Tapering Rod Formula

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Applied Load is a force imposed on an object by a person or another object. Check FAQs

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

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

Load at End with known Extension of Circular Tapering Rod Example

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Here is how the Load at End with known Extension of Circular Tapering Rod equation looks like with Values.

Here is how the Load at End with known Extension of Circular Tapering Rod equation looks like with Units.

Here is how the Load at End with known Extension of Circular Tapering Rod equation looks like.

164.9336 = \frac{0.02}{4 \cdot \frac{3}{3.1416 \cdot 20000 \cdot 0.045 \cdot 0.035}}

164.9336kN = \frac{0.02m}{4 \cdot \frac{3m}{3.1416 \cdot 20000MPa \cdot 0.045m \cdot 0.035m}}

164.9336 = \frac{0.02}{4 \cdot \frac{3}{3.1416 \cdot 20000 \cdot 0.045 \cdot 0.035}}

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Load at End with known Extension of Circular Tapering Rod Solution

Follow our step by step solution on how to calculate Load at End with known Extension of Circular Tapering Rod?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W Applied load = \frac{0.02m}{4 \cdot \frac{3m}{π \cdot 20000MPa \cdot 0.045m \cdot 0.035m}}

Next Step Substitute values of Constants

∴

W Applied load = \frac{0.02m}{4 \cdot \frac{3m}{3.1416 \cdot 20000MPa \cdot 0.045m \cdot 0.035m}}

Next Step Convert Units

∴

W Applied load = \frac{0.02m}{4 \cdot \frac{3m}{3.1416 \cdot 2E+10Pa \cdot 0.045m \cdot 0.035m}}

Next Step Prepare to Evaluate

∴

W Applied load = \frac{0.02}{4 \cdot \frac{3}{3.1416 \cdot 2E+10 \cdot 0.045 \cdot 0.035}}

Next Step Evaluate

∴

W Applied load = 164933.614313464N

Next Step Convert to Output's Unit

∴

W Applied load = 164.933614313464kN

LAST Step Rounding Answer

∴

W Applied load = 164.9336kN

Load at End with known Extension of Circular Tapering Rod Formula Elements

Variables

Constants

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

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

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

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 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 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}}

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 Load at End with known Extension of Circular Tapering Rod?

Load at End with known Extension of Circular Tapering Rod evaluator uses Applied Load = Elongation/(4*Length/(pi*Young's Modulus*Diameter1*Diameter2)) to evaluate the Applied Load, The Load at End with known Extension of Circular Tapering Rod is defined as amount of pull at one end. Applied Load is denoted by W_{Applied load} symbol.

How to evaluate Load at End with known Extension of Circular Tapering Rod using this online evaluator? To use this online evaluator for Load at End with known Extension of Circular Tapering Rod, enter Elongation (δl), Length (L), Young's Modulus (E), Diameter1 (d₁) & Diameter2 (d₂) and hit the calculate button.

FAQs on Load at End with known Extension of Circular Tapering Rod

What is the formula to find Load at End with known Extension of Circular Tapering Rod?

The formula of Load at End with known Extension of Circular Tapering Rod is expressed as Applied Load = Elongation/(4*Length/(pi*Young's Modulus*Diameter1*Diameter2)). Here is an example- 0.164934 = 0.02/(4*3/(pi*20000000000*0.045*0.035)).

How to calculate Load at End with known Extension of Circular Tapering Rod?

With Elongation (δl), Length (L), Young's Modulus (E), Diameter1 (d₁) & Diameter2 (d₂) we can find Load at End with known Extension of Circular Tapering Rod using the formula - Applied Load = Elongation/(4*Length/(pi*Young's Modulus*Diameter1*Diameter2)). This formula also uses Archimedes' constant .

Can the Load at End with known Extension of Circular Tapering Rod be negative?

Yes, the Load at End with known Extension of Circular Tapering Rod, measured in Force can be negative.

Which unit is used to measure Load at End with known Extension of Circular Tapering Rod?

Load at End with known Extension of Circular Tapering Rod is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Load at End with known Extension of Circular Tapering Rod can be measured.

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Load at End with known Extension of Circular Tapering Rod Formula

Load at End with known Extension of Circular Tapering Rod Example

Load at End with known Extension of Circular Tapering Rod Solution

Load at End with known Extension of Circular Tapering Rod Formula Elements

Other formulas in Circular Tapering Rod category

How to Evaluate Load at End with known Extension of Circular Tapering Rod?

FAQs on Load at End with known Extension of Circular Tapering Rod

Variable Name