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Elongation of Prismatic Rod Formula

GoElongation of Circular Tapering Rod Formula

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Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest). Check FAQs

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

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

Elongation of Prismatic Rod Example

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Here is how the Elongation of Prismatic Rod equation looks like with Values.

Here is how the Elongation of Prismatic Rod equation looks like with Units.

Here is how the Elongation of Prismatic Rod equation looks like.

0.002 = 4 \cdot 150 \cdot \frac{3}{3.1416 \cdot 20000 \cdot ({0.12}^{2})}

0.002m = 4 \cdot 150kN \cdot \frac{3m}{3.1416 \cdot 20000MPa \cdot ({0.12m}^{2})}

0.002 = 4 \cdot 150 \cdot \frac{3}{3.1416 \cdot 20000 \cdot ({0.12}^{2})}

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Home » Engineering » Civil » Strength of Materials » Elongation of Prismatic Rod

Elongation of Prismatic Rod Solution

Follow our step by step solution on how to calculate Elongation of Prismatic Rod?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δl = 4 \cdot 150kN \cdot \frac{3m}{π \cdot 20000MPa \cdot ({0.12m}^{2})}

Next Step Substitute values of Constants

∴

δl = 4 \cdot 150kN \cdot \frac{3m}{3.1416 \cdot 20000MPa \cdot ({0.12m}^{2})}

Next Step Convert Units

∴

δl = 4 \cdot 150000N \cdot \frac{3m}{3.1416 \cdot 2E+10Pa \cdot ({0.12m}^{2})}

Next Step Prepare to Evaluate

∴

δl = 4 \cdot 150000 \cdot \frac{3}{3.1416 \cdot 2E+10 \cdot ({0.12}^{2})}

Next Step Evaluate

∴

δl = 0.00198943678864869m

LAST Step Rounding Answer

∴

δl = 0.002m

Elongation of Prismatic Rod Formula Elements

Variables

Constants

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.

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.

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.

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.

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.

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

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Formula and 1300+ more formulas!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Formula and 900+ more formulas!

Other Formulas to find Elongation

Go Elongation of Circular Tapering Rod

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

Other formulas in Circular Tapering Rod category

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 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}

Go Diameter at Other End of Circular Tapering Rod

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

How to Evaluate Elongation of Prismatic Rod?

Elongation of Prismatic Rod evaluator uses Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2)) to evaluate the Elongation, The Elongation of Prismatic Rod is defined as the change in length of the Rod after application of load. Elongation is denoted by δl symbol.

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

FAQs on Elongation of Prismatic Rod

What is the formula to find Elongation of Prismatic Rod?

The formula of Elongation of Prismatic Rod is expressed as Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2)). Here is an example- 0.001989 = 4*150000*3/(pi*20000000000*(0.12^2)).

How to calculate Elongation of Prismatic Rod?

With Applied Load (W_{Applied load}), Length (L), Young's Modulus (E) & Diameter of Shaft (d) we can find Elongation of Prismatic Rod using the formula - Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Elongation?

Here are the different ways to Calculate Elongation-

Elongation=4*Applied Load*Length/(pi*Young's Modulus*Diameter1*Diameter2)

Can the Elongation of Prismatic Rod be negative?

Yes, the Elongation of Prismatic Rod, measured in Length can be negative.

Which unit is used to measure Elongation of Prismatic Rod?

Elongation of Prismatic Rod is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Elongation of Prismatic Rod can be measured.