Elongation due to Self Weight in Prismatic Bar using Applied Load Calculator

✖The Applied Load SOM is a force imposed on an object by a person or another object.ⓘ Applied Load SOM [W_Load]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.ⓘ Area of Cross-Section [A]			+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%

✖Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).ⓘ Elongation due to Self Weight in Prismatic Bar using Applied Load [δl]

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Formula

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Elongation due to Self Weight in Prismatic Bar using Applied Load

Formula

`"δl" = "W"_{"Load"}*"L"/(2*"A"*"E")`

Example

`"0.023438m"="1750kN"*"3m"/(2*"5600mm²"*"20000MPa")`

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Elongation due to Self Weight in Prismatic Bar using Applied Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elongation = Applied Load SOM*Length/(2*Area of Cross-Section*Young's Modulus)
δl = W_Load*L/(2*A*E)
This formula uses 5 Variables

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 SOM - (Measured in Newton) - The Applied Load SOM 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.
Area of Cross-Section - (Measured in Square Meter) - Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.
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.

STEP 1: Convert Input(s) to Base Unit

Applied Load SOM: 1750 Kilonewton --> 1750000 Newton (Check conversion here)
Length: 3 Meter --> 3 Meter No Conversion Required
Area of Cross-Section: 5600 Square Millimeter --> 0.0056 Square Meter (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δl = W_Load*L/(2*A*E) --> 1750000*3/(2*0.0056*20000000000)

Evaluating ... ...

δl = 0.0234375

STEP 3: Convert Result to Output's Unit

0.0234375 Meter --> No Conversion Required

FINAL ANSWER

0.0234375 ≈ 0.023438 Meter <-- Elongation

(Calculation completed in 00.004 seconds)

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< 11 Elongation due to Self weight Calculators

Length of Rod of Truncated Conical Section

Go Length of Tapered Bar = sqrt(Elongation/(((Specific Weight of Rod)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))))

Specific weight of Truncated Conical Rod using its elongation due to Self Weight

Go Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2)))

Modulus of Elasticity of Bar with known elongation of Truncated Conical Rod due to Self Weight

Go Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2))

Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight

Go Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2))

Elongation of Truncated Conical Rod due to Self Weight

Go Elongation = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))

Length of Bar using its Uniform Strength

Go Length = (2.303*log10(Area 1/Area 2))*(Uniform Stress/Specific Weight of Rod)

Uniform Stress on Bar due to Self-Weight

Go Uniform Stress = Length/((2.303*log10(Area 1/Area 2))/Specific Weight of Rod)

Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight

Go Area of Cross-Section = Applied Load SOM*Length/(6*Elongation*Young's Modulus)

Elongation due to Self Weight in Prismatic Bar using Applied Load

Go Elongation = Applied Load SOM*Length/(2*Area of Cross-Section*Young's Modulus)

Length of Bar using Elongation due to Self Weight in Prismatic bar

Go Length = sqrt(Elongation/(Specific Weight of Rod/(Young's Modulus*2)))

Elongation due to Self Weight in Prismatic Bar

Go Elongation = Specific Weight of Rod*Length*Length/(Young's Modulus*2)

Elongation due to Self Weight in Prismatic Bar using Applied Load Formula

Elongation = Applied Load SOM*Length/(2*Area of Cross-Section*Young's Modulus)
δl = W_Load*L/(2*A*E)

What is Uniform Loading?

A Uniformly Distributed Load (UDL) is a load that is distributed or spread across the whole region of an element such as a beam or slab. In other words, the magnitude of the load remains uniform throughout the whole element.

What is Prismatic Bar?

The Prismatic Bar has a uniform cross-section. It is a structural member having a straight longitudinal axis and a constant cross-section throughout its length

How to Calculate Elongation due to Self Weight in Prismatic Bar using Applied Load?

Elongation due to Self Weight in Prismatic Bar using Applied Load calculator uses Elongation = Applied Load SOM*Length/(2*Area of Cross-Section*Young's Modulus) to calculate the Elongation, The Elongation due to Self Weight in Prismatic Bar using Applied Load is defined as change in length of bar upon its own weight. Elongation is denoted by δl symbol.

How to calculate Elongation due to Self Weight in Prismatic Bar using Applied Load using this online calculator? To use this online calculator for Elongation due to Self Weight in Prismatic Bar using Applied Load, enter Applied Load SOM (W_Load), Length (L), Area of Cross-Section (A) & Young's Modulus (E) and hit the calculate button. Here is how the Elongation due to Self Weight in Prismatic Bar using Applied Load calculation can be explained with given input values -> 0.023438 = 1750000*3/(2*0.0056*20000000000).

FAQ

What is Elongation due to Self Weight in Prismatic Bar using Applied Load?

The Elongation due to Self Weight in Prismatic Bar using Applied Load is defined as change in length of bar upon its own weight and is represented as δl = W_Load*L/(2*A*E) or Elongation = Applied Load SOM*Length/(2*Area of Cross-Section*Young's Modulus). The Applied Load SOM 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, Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area & Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

How to calculate Elongation due to Self Weight in Prismatic Bar using Applied Load?

The Elongation due to Self Weight in Prismatic Bar using Applied Load is defined as change in length of bar upon its own weight is calculated using Elongation = Applied Load SOM*Length/(2*Area of Cross-Section*Young's Modulus). To calculate Elongation due to Self Weight in Prismatic Bar using Applied Load, you need Applied Load SOM (W_Load), Length (L), Area of Cross-Section (A) & Young's Modulus (E). With our tool, you need to enter the respective value for Applied Load SOM, Length, Area of Cross-Section & Young's 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 Applied Load SOM, Length, Area of Cross-Section & Young's Modulus. We can use 2 other way(s) to calculate the same, which is/are as follows -

Elongation = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))
Elongation = Specific Weight of Rod*Length*Length/(Young's Modulus*2)

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