Elongation of Prismatic Bar due to its Own Weight 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.ⓘ Elongation of Prismatic Bar due to its Own Weight [∆]

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Formula

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Elongation of Prismatic Bar due to its Own Weight

Formula

`"∆" = (2*"W"_{"load"}*"L"_{"bar"})/("A"*"e")`

Example

`"4500mm"=(2*"3.6kN"*"2000mm")/("64m²"*"50Pa")`

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Elongation of Prismatic Bar due to its Own Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

∆ = (2*W_load*L_bar)/(A*e) --> (2*3600*2)/(64*50)

Evaluating ... ...

∆ = 4.5

STEP 3: Convert Result to Output's Unit

4.5 Meter -->4500 Millimeter (Check conversion here)

FINAL ANSWER

4500 Millimeter <-- Elongation

(Calculation completed in 00.020 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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< 18 Stress and Strain Calculators

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

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

Elongation of Prismatic Bar due to its Own Weight Formula

Elongation = (2*Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)
∆ = (2*W_load*L_bar)/(A*e)

What is elongation?

Elongation is a measure of deformation that occurs before a material eventually breaks when subjected to a tensile load.

How to Calculate Elongation of Prismatic Bar due to its Own Weight?

Elongation of Prismatic Bar due to its Own Weight calculator uses Elongation = (2*Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus) to calculate the Elongation, Elongation of prismatic bar due to its own weight is 2 times the product of length of bar and ratio of stress and elastic modulus. Elongation is denoted by ∆ symbol.

How to calculate Elongation of Prismatic Bar due to its Own Weight using this online calculator? To use this online calculator for Elongation of Prismatic Bar due to its Own Weight, 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 Elongation of Prismatic Bar due to its Own Weight calculation can be explained with given input values -> 4.5E+6 = (2*3600*2)/(64*50).

FAQ

What is Elongation of Prismatic Bar due to its Own Weight?

Elongation of prismatic bar due to its own weight is 2 times the product of length of bar and ratio of stress and elastic modulus and is represented as ∆ = (2*W_load*L_bar)/(A*e) or Elongation = (2*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 Elongation of Prismatic Bar due to its Own Weight?

Elongation of prismatic bar due to its own weight is 2 times the product of length of bar and ratio of stress and elastic modulus is calculated using Elongation = (2*Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus). To calculate Elongation of Prismatic Bar due to its Own Weight, 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 = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

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