Axial Elongation of Prismatic Bar due to External Load Calculator

✖Load is the instantaneous load applied perpendicular to the specimen cross-section.ⓘ Load [W_load]			+10% -10%
✖Length Of Bar is defined as the total length of the Bar.ⓘ Length of Bar [L_bar]			+10% -10%
✖Area of prismatic bar is the amount of two-dimensional space taken up by an object.ⓘ Area of Prismatic Bar [A]			+10% -10%
✖The Elastic Modulus is the ratio of Stress to Strain.ⓘ Elastic Modulus [e]			+10% -10%

✖The Elongation is change in length due to subjected load.ⓘ Axial Elongation of Prismatic Bar due to External Load [∆]

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Formula

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Axial Elongation of Prismatic Bar due to External Load

Formula

`"∆" = ("W"_{"load"}*"L"_{"bar"})/("A"*"e")`

Example

`"2250mm"=("3.6kN"*"2000mm")/("64m²"*"50Pa")`

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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)
∆ = (W_load*L_bar)/(A*e)
This formula uses 5 Variables

Variables Used

Elongation - (Measured in Meter) - The Elongation is change in length 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 is defined as the total length of the Bar.
Area of Prismatic Bar - (Measured in Square Meter) - Area of prismatic bar is the amount of two-dimensional space taken up by an object.
Elastic Modulus - (Measured in Pascal) - The Elastic Modulus is the ratio of Stress to Strain.

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

∆ = (W_load*L_bar)/(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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< 21 Stress and Strain Calculators

Normal Stress 1

Go Normal Stress 1 = (Principal Stress along x+Principal Stress along y)/2+sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress in Upper Plate^2)

Normal Stress 2

Go Normal Stress 2 = (Principal Stress along x+Principal Stress along y)/2-sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress in Upper Plate^2)

Elongation Circular Tapered Bar

Go Elongation = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)

Total Angle of Twist

Go Total Angle of Twist = (Torque Exerted on Wheel*Shaft Length)/(Shear Modulus*Polar Moment of Inertia)

Moment of Inertia for Hollow Circular Shaft

Go Polar Moment of Inertia = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))

Equivalent Bending Moment

Go Equivalent Bending Moment = Bending Moment+sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2))

Deflection of Fixed Beam with Uniformly Distributed Load

Go Deflection of Beam = (Width of Beam*Beam Length^4)/(384*Elastic Modulus*Moment of Inertia)

Deflection of Fixed Beam with Load at Center

Go Deflection of Beam = (Width of Beam*Beam Length^3)/(192*Elastic Modulus*Moment of Inertia)

Elongation of Prismatic Bar due to its Own Weight

Go Elongation = (2*Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

Axial Elongation of Prismatic Bar due to External Load

Go Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

Hooke's Law

Go Young's Modulus = (Load*Elongation)/(Area of Base*Initial Length)

Equivalent Torsional Moment

Go Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2))

Rankine's Formula for Columns

Go Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns)

Slenderness Ratio

Go Slenderness Ratio = Effective Length/Least Radius of Gyration

Moment of Inertia about Polar Axis

Go Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32

Torque on Shaft

Go Torque Exerted on Shaft = Force*Shaft Diameter/2

Bulk Modulus given Volume Stress and Strain

Go Bulk Modulus = Volume Stress/Volumetric Strain

Shear Modulus

Go Shear Modulus = Shear Stress/Shear Strain

Bulk Modulus given Bulk Stress and Strain

Go Bulk Modulus = Bulk Stress/Bulk Strain

Young's Modulus

Go Young's Modulus = Stress/Strain

Elastic Modulus

Go Young's Modulus = Stress/Strain

Axial Elongation of Prismatic Bar due to External Load Formula

Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)
∆ = (W_load*L_bar)/(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, Axial elongation of prismatic bar due to external load is product of length of rod and the ratio of stress to elastic modulus. 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 (W_load), Length of Bar (L_bar), 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?

Axial elongation of prismatic bar due to external load is product of length of rod and the ratio of stress to elastic modulus and is represented as ∆ = (W_load*L_bar)/(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 is defined as the total length of the Bar, Area of prismatic bar is the amount of two-dimensional space taken up by an object & The Elastic Modulus is the ratio of Stress to Strain.

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

Axial elongation of prismatic bar due to external load is product of length of rod and the ratio of stress to elastic modulus 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 (W_load), Length of Bar (L_bar), 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.

How many ways are there to calculate Elongation?

In this formula, Elongation uses Load, Length of Bar, Area of Prismatic Bar & Elastic Modulus. We can use 2 other way(s) to calculate the same, which is/are as follows -

Elongation = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)
Elongation = (2*Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

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