Load on Prismatic Bar with known Elongation due to Self Weight Calculator

✖Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).ⓘ Elongation [δl]			+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%

✖The Applied Load SOM is a force imposed on an object by a person or another object.ⓘ Load on Prismatic Bar with known Elongation due to Self Weight [W_Load]

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Formula

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Load on Prismatic Bar with known Elongation due to Self Weight

Formula

`"W"_{"Load"} = "δl"/("L"/(2*"A"*"E"))`

Example

`"1493.333kN"="0.020m"/("3m"/(2*"5600mm²"*"20000MPa"))`

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Load on Prismatic Bar with known Elongation due to Self Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Applied Load SOM - (Measured in Newton) - The Applied Load SOM is a force imposed on an object by a person or another object.
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).
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

Elongation: 0.02 Meter --> 0.02 Meter No Conversion Required
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

W_Load = δl/(L/(2*A*E)) --> 0.02/(3/(2*0.0056*20000000000))

Evaluating ... ...

W_Load = 1493333.33333333

STEP 3: Convert Result to Output's Unit

1493333.33333333 Newton -->1493.33333333333 Kilonewton (Check conversion here)

FINAL ANSWER

1493.33333333333 ≈ 1493.333 Kilonewton <-- Applied Load SOM

(Calculation completed in 00.004 seconds)

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< 13 Elongation of Tapering Bar due to Self Weight Calculators

Length of Circular Tapering Rod when deflection due to load

Go Length = Elongation/(4*Applied Load SOM/(pi*Young's Modulus*(Diameter1*Diameter2)))

Length of Bar using Elongation of Conical Bar with Cross-sectional area

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

Load on Conical Bar with known Elongation due to Self Weight

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

Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area

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

Elongation of Conical Bar due to Self Weight with known Cross-sectional area

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

Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar

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

Load on Prismatic Bar with known Elongation due to Self Weight

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

Length of Bar given Elongation of Conical Bar due to Self Weight

Go Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus)))

Self Weight of Prismatic Bar with known Elongation

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

Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight

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

Self Weight of Conical section with known Elongation

Go Specific Weight = Elongation/(Tapered Bar Length^2/(6*Young's Modulus))

Elongation of Conical bar due to Self Weight

Go Elongation = (Specific Weight*Tapered Bar Length^2)/(6*Young's Modulus)

Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight

Go Young's Modulus = Specific Weight*Tapered Bar Length^2/(6*Elongation)

Load on Prismatic Bar with known Elongation due to Self Weight Formula

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

What is elongation?

Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest). Since elongation depends on the testing gauge length, when reporting elongation, the gauge length must also be reported (the longer the gauge length, the lower the measured elongation).

How to Calculate Load on Prismatic Bar with known Elongation due to Self Weight?

Load on Prismatic Bar with known Elongation due to Self Weight calculator uses Applied Load SOM = Elongation/(Length/(2*Area of Cross-Section*Young's Modulus)) to calculate the Applied Load SOM, The Load on Prismatic Bar with known Elongation due to Self Weight is the total load applied due to self-weight of Prismatic bar. Applied Load SOM is denoted by W_Load symbol.

How to calculate Load on Prismatic Bar with known Elongation due to Self Weight using this online calculator? To use this online calculator for Load on Prismatic Bar with known Elongation due to Self Weight, enter Elongation (δl), Length (L), Area of Cross-Section (A) & Young's Modulus (E) and hit the calculate button. Here is how the Load on Prismatic Bar with known Elongation due to Self Weight calculation can be explained with given input values -> 1.493333 = 0.02/(3/(2*0.0056*20000000000)).

FAQ

What is Load on Prismatic Bar with known Elongation due to Self Weight?

The Load on Prismatic Bar with known Elongation due to Self Weight is the total load applied due to self-weight of Prismatic bar and is represented as W_Load = δl/(L/(2*A*E)) or Applied Load SOM = Elongation/(Length/(2*Area of Cross-Section*Young's Modulus)). Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest), 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 Load on Prismatic Bar with known Elongation due to Self Weight?

The Load on Prismatic Bar with known Elongation due to Self Weight is the total load applied due to self-weight of Prismatic bar is calculated using Applied Load SOM = Elongation/(Length/(2*Area of Cross-Section*Young's Modulus)). To calculate Load on Prismatic Bar with known Elongation due to Self Weight, you need Elongation (δl), Length (L), Area of Cross-Section (A) & Young's Modulus (E). With our tool, you need to enter the respective value for Elongation, 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 Applied Load SOM?

In this formula, Applied Load SOM uses Elongation, Length, Area of Cross-Section & Young's Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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