Elongation of Prismatic Rod Calculator

✖Applied Load is a force imposed on an object by a person or another object.ⓘ Applied Load [W_{Applied load}]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%
✖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.ⓘ Diameter of Shaft [d]			+10% -10%

✖Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).ⓘ Elongation of Prismatic Rod [δl]

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Elongation of Prismatic Rod Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2))
δl = 4*W_{Applied load}*L/(pi*E*(d^2))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Elongation - (Measured in Meter) - Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).
Applied Load - (Measured in Newton) - Applied Load is a force imposed on an object by a person or another object.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Diameter of Shaft - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Applied Load: 150 Kilonewton --> 150000 Newton (Check conversion here)
Length: 3 Meter --> 3 Meter No Conversion Required
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Diameter of Shaft: 0.12 Meter --> 0.12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δl = 4*W_{Applied load}*L/(pi*E*(d^2)) --> 4*150000*3/(pi*20000000000*(0.12^2))

Evaluating ... ...

δl = 0.00198943678864869

STEP 3: Convert Result to Output's Unit

0.00198943678864869 Meter --> No Conversion Required

FINAL ANSWER

0.00198943678864869 ≈ 0.001989 Meter <-- Elongation

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Strength of Materials » Stress and Strain » Circular Tapering Rod » Elongation of Prismatic Rod

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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< Circular Tapering Rod Calculators

Load at End with known Extension of Circular Tapering Rod

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

Length of Circular Tapering rod

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

Elongation of Circular Tapering Rod

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

Elongation of Prismatic Rod

LaTeX Go Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2))

Elongation of Prismatic Rod Formula

LaTeX Go

Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2))
δl = 4*W_{Applied load}*L/(pi*E*(d^2))

What is Tapering Rod?

A circular rod is basically taper uniformly from one end to another end throughout the length and therefore its one end will be of larger diameter and other end will be of smaller diameter.

How to Calculate Elongation of Prismatic Rod?

Elongation of Prismatic Rod calculator uses Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2)) to calculate 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 calculate Elongation of Prismatic Rod using this online calculator? To use this online calculator 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. Here is how the Elongation of Prismatic Rod calculation can be explained with given input values -> 0.001989 = 4*150000*3/(pi*20000000000*(0.12^2)).

FAQ

What is Elongation of Prismatic Rod?

The Elongation of Prismatic Rod is defined as the change in length of the Rod after application of load and is represented as δl = 4*W_{Applied load}*L/(pi*E*(d^2)) or Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2)). Applied Load is a force imposed on an object by a person or another object, Length is the measurement or extent of something from end to end, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain & 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.

How to calculate Elongation of Prismatic Rod?

The Elongation of Prismatic Rod is defined as the change in length of the Rod after application of load is calculated using Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2)). To calculate Elongation of Prismatic Rod, you need Applied Load (W_{Applied load}), Length (L), Young's Modulus (E) & Diameter of Shaft (d). With our tool, you need to enter the respective value for Applied Load, Length, Young's Modulus & Diameter of Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Elongation?

In this formula, Elongation uses Applied Load, Length, Young's Modulus & Diameter of Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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