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

✖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.ⓘ Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight [A]

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Formula

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

Formula

`"A" = "W"_{"Load"}*"L"/(6*"δl"*"E")`

Example

`"2187.5mm²"="1750kN"*"3m"/(6*"0.020m"*"20000MPa")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Area of Cross-Section = Applied Load SOM*Length/(6*Elongation*Young's Modulus)
A = W_Load*L/(6*δl*E)
This formula uses 5 Variables

Variables Used

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.
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.
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).
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
Elongation: 0.02 Meter --> 0.02 Meter No Conversion Required
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = W_Load*L/(6*δl*E) --> 1750000*3/(6*0.02*20000000000)

Evaluating ... ...

A = 0.0021875

STEP 3: Convert Result to Output's Unit

0.0021875 Square Meter -->2187.5 Square Millimeter (Check conversion here)

FINAL ANSWER

2187.5 Square Millimeter <-- Area of Cross-Section

(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)

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

Area of Cross-Section = Applied Load SOM*Length/(6*Elongation*Young's Modulus)
A = W_Load*L/(6*δl*E)

What is Tapering Rod?

A Circular Rod is basically taper uniformly from one end to another end throughout the length and therefore its one end will be of larger diameter and other end will be of smaller diameter.

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

Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight calculator uses Area of Cross-Section = Applied Load SOM*Length/(6*Elongation*Young's Modulus) to calculate the Area of Cross-Section, The Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight formula is defined as the area of the rod using Elongation and remaining variables. Area of Cross-Section is denoted by A symbol.

How to calculate Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight using this online calculator? To use this online calculator for Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight, enter Applied Load SOM (W_Load), Length (L), Elongation (δl) & Young's Modulus (E) and hit the calculate button. Here is how the Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight calculation can be explained with given input values -> 0.002188 = 1750000*3/(6*0.02*20000000000).

FAQ

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

The Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight formula is defined as the area of the rod using Elongation and remaining variables and is represented as A = W_Load*L/(6*δl*E) or Area of Cross-Section = Applied Load SOM*Length/(6*Elongation*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, Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest) & 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 Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight?

The Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight formula is defined as the area of the rod using Elongation and remaining variables is calculated using Area of Cross-Section = Applied Load SOM*Length/(6*Elongation*Young's Modulus). To calculate Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight, you need Applied Load SOM (W_Load), Length (L), Elongation (δl) & Young's Modulus (E). With our tool, you need to enter the respective value for Applied Load SOM, Length, Elongation & Young's 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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