Elongation of Conical Bar due to Self Weight with known Cross-sectional area 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%
✖The Length of Tapered Bar is defined as the total length of the Bar.ⓘ Length of Tapered Bar [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 of Conical Bar due to Self Weight with known Cross-sectional area [δl]

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Formula

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

Formula

`"δl" = "W"_{"Load"}*"l"/(6*"A"*"E")`

Example

`"0.020312m"="1750kN"*"7.8m"/(6*"5600mm²"*"20000MPa")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Elongation = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus)
δl = W_Load*l/(6*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 of Tapered Bar - (Measured in Meter) - The Length of Tapered Bar is defined as the total length of the Bar.
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 of Tapered Bar: 7.8 Meter --> 7.8 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/(6*A*E) --> 1750000*7.8/(6*0.0056*20000000000)

Evaluating ... ...

δl = 0.0203125

STEP 3: Convert Result to Output's Unit

0.0203125 Meter --> No Conversion Required

FINAL ANSWER

0.0203125 ≈ 0.020312 Meter <-- Elongation

(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)

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

Elongation = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus)
δl = W_Load*l/(6*A*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 Elongation of Conical Bar due to Self Weight with known Cross-sectional area?

Elongation of Conical Bar due to Self Weight with known Cross-sectional area calculator uses Elongation = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus) to calculate the Elongation, The Elongation of Conical Bar due to Self Weight with known Cross-sectional area formula is defined as change in length. Elongation is denoted by δl symbol.

How to calculate Elongation of Conical Bar due to Self Weight with known Cross-sectional area using this online calculator? To use this online calculator for Elongation of Conical Bar due to Self Weight with known Cross-sectional area, enter Applied Load SOM (W_Load), Length of Tapered Bar (l), Area of Cross-Section (A) & Young's Modulus (E) and hit the calculate button. Here is how the Elongation of Conical Bar due to Self Weight with known Cross-sectional area calculation can be explained with given input values -> 0.020312 = 1750000*7.8/(6*0.0056*20000000000).

FAQ

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

The Elongation of Conical Bar due to Self Weight with known Cross-sectional area formula is defined as change in length and is represented as δl = W_Load*l/(6*A*E) or Elongation = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus). The Applied Load SOM is a force imposed on an object by a person or another object, The Length of Tapered Bar is defined as the total length of the Bar, 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 of Conical Bar due to Self Weight with known Cross-sectional area?

The Elongation of Conical Bar due to Self Weight with known Cross-sectional area formula is defined as change in length is calculated using Elongation = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus). To calculate Elongation of Conical Bar due to Self Weight with known Cross-sectional area, you need Applied Load SOM (W_Load), Length of Tapered Bar (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 of Tapered Bar, 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 of Tapered Bar, Area of Cross-Section & Young's Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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