Axial Elongation of Prismatic Bar due to External Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)
= (Wload*Lbar)/(A*e)
This formula uses 5 Variables
Variables Used
Elongation - (Measured in Meter) - The Elongation is change in length of the material or element due to subjected load.
Load - (Measured in Newton) - Load is the instantaneous load applied perpendicular to the specimen cross-section.
Length of Bar - (Measured in Meter) - Length of Bar refers to the distance from one end of a structural or mechanical bar to the other.
Area of Prismatic Bar - (Measured in Square Meter) - Area of prismatic bar is the amount of two-dimensional space taken up by the prismatic bar.
Elastic Modulus - (Measured in Pascal) - The Elastic Modulus is a fundamental property that quantifies the stiffness of a material. It is defined as the ratio of stress to strain within the elastic range of a material.
STEP 1: Convert Input(s) to Base Unit
Load: 3.6 Kilonewton --> 3600 Newton (Check conversion ​here)
Length of Bar: 2000 Millimeter --> 2 Meter (Check conversion ​here)
Area of Prismatic Bar: 64 Square Meter --> 64 Square Meter No Conversion Required
Elastic Modulus: 50 Pascal --> 50 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
∆ = (Wload*Lbar)/(A*e) --> (3600*2)/(64*50)
Evaluating ... ...
= 2.25
STEP 3: Convert Result to Output's Unit
2.25 Meter -->2250 Millimeter (Check conversion ​here)
FINAL ANSWER
2250 Millimeter <-- Elongation
(Calculation completed in 00.004 seconds)

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Created by Pragati Jaju
College Of Engineering (COEP), Pune
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Stress and Strain Calculators

Elongation Circular Tapered Bar
​ LaTeX ​ Go Elongation in Circular Tapered Bar = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)
Moment of Inertia for Hollow Circular Shaft
​ LaTeX ​ Go Moment of Inertia for Hollow Circular Shaft = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))
Elongation of Prismatic Bar due to its Own Weight
​ LaTeX ​ Go Elongation of Prismatic Bar = (Load*Length of Bar)/(2*Area of Prismatic Bar*Elastic Modulus)
Moment of Inertia about Polar Axis
​ LaTeX ​ Go Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32

Axial Elongation of Prismatic Bar due to External Load Formula

​LaTeX ​Go
Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)
= (Wload*Lbar)/(A*e)

What is Elastic Modulus?

Elastic modulus (Young's modulus or modulus of elasticity) Young's modulus describes the relative stiffness of a material, which is measured by the slope of elastic of a stress and strain graph. ... A constant of proportionality will result, which is known as the modulus of elasticity, or Youngs modulus (E).

How to Calculate Axial Elongation of Prismatic Bar due to External Load?

Axial Elongation of Prismatic Bar due to External Load calculator uses Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus) to calculate the Elongation, The Axial Elongation of Prismatic Bar due to External Load formula is defined as a measure of the change in length of a prismatic bar when subjected to an external load, providing insight into the bar's deformation under stress, which is essential in understanding the behavior of materials under various loads. Elongation is denoted by symbol.

How to calculate Axial Elongation of Prismatic Bar due to External Load using this online calculator? To use this online calculator for Axial Elongation of Prismatic Bar due to External Load, enter Load (Wload), Length of Bar (Lbar), Area of Prismatic Bar (A) & Elastic Modulus (e) and hit the calculate button. Here is how the Axial Elongation of Prismatic Bar due to External Load calculation can be explained with given input values -> 2.3E+6 = (3600*2)/(64*50).

FAQ

What is Axial Elongation of Prismatic Bar due to External Load?
The Axial Elongation of Prismatic Bar due to External Load formula is defined as a measure of the change in length of a prismatic bar when subjected to an external load, providing insight into the bar's deformation under stress, which is essential in understanding the behavior of materials under various loads and is represented as ∆ = (Wload*Lbar)/(A*e) or Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus). Load is the instantaneous load applied perpendicular to the specimen cross-section, Length of Bar refers to the distance from one end of a structural or mechanical bar to the other, Area of prismatic bar is the amount of two-dimensional space taken up by the prismatic bar & The Elastic Modulus is a fundamental property that quantifies the stiffness of a material. It is defined as the ratio of stress to strain within the elastic range of a material.
How to calculate Axial Elongation of Prismatic Bar due to External Load?
The Axial Elongation of Prismatic Bar due to External Load formula is defined as a measure of the change in length of a prismatic bar when subjected to an external load, providing insight into the bar's deformation under stress, which is essential in understanding the behavior of materials under various loads is calculated using Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus). To calculate Axial Elongation of Prismatic Bar due to External Load, you need Load (Wload), Length of Bar (Lbar), Area of Prismatic Bar (A) & Elastic Modulus (e). With our tool, you need to enter the respective value for Load, Length of Bar, Area of Prismatic Bar & Elastic Modulus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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