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*WApplied 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*WApplied 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)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has verified this Calculator and 900+ more calculators!

10+ Circular Tapering Rod Calculators

Diameter of Circular Tapered Rod with Uniform Cross Section
Go Diameter of Shaft = sqrt(4*Applied Load*Length/(pi*Young's Modulus*Elongation))
Load at End with known Extension of Circular Tapering Rod
Go Applied Load = Elongation/(4*Length/(pi*Young's Modulus*Diameter1*Diameter2))
Length of Circular Tapering rod
Go Length = Elongation/(4*Applied Load/(pi*Young's Modulus*Diameter1*Diameter2))
Modulus of Elasticity using Elongation of Circular Tapering Rod
Go Young's Modulus = 4*Applied Load*Length/(pi*Elongation*Diameter1*Diameter2)
Diameter at Other End of Circular Tapering Rod
Go Diameter1 = 4*Applied Load*Length/(pi*Young's Modulus*Elongation*Diameter2)
Diameter at One End of Circular Tapering Rod
Go Diameter2 = 4*Applied Load*Length/(pi*Young's Modulus*Elongation*Diameter1)
Elongation of Circular Tapering Rod
Go Elongation = 4*Applied Load*Length/(pi*Young's Modulus*Diameter1*Diameter2)
Length of Circular Tapered Rod with Uniform Cross Section
Go Length = Elongation/(4*Applied Load/(pi*Young's Modulus*(Diameter of Shaft^2)))
Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section
Go Young's Modulus = 4*Applied Load*Length/(pi*Elongation*(Diameter of Shaft^2))
Elongation of Prismatic Rod
Go Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2))

Elongation of Prismatic Rod Formula

Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2))
δl = 4*WApplied 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 (WApplied 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*WApplied 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 (WApplied 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)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!