Length of Bar using Elongation of Conical Bar with Cross-sectional area 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%
✖The Applied Load SOM is a force imposed on an object by a person or another object.ⓘ Applied Load SOM [W_Load]			+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 Length of Tapered Bar is defined as the total length of the Bar.ⓘ Length of Bar using Elongation of Conical Bar with Cross-sectional area [l]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Length of Tapered Bar - (Measured in Meter) - The Length of Tapered Bar is defined as the total length of the Bar.
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.
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
Applied Load SOM: 1750 Kilonewton --> 1750000 Newton (Check conversion here)
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

l = δl/(W_Load/(6*A*E)) --> 0.02/(1750000/(6*0.0056*20000000000))

Evaluating ... ...

l = 7.68

STEP 3: Convert Result to Output's Unit

7.68 Meter --> No Conversion Required

FINAL ANSWER

7.68 Meter <-- Length of Tapered Bar

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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

LaTeX Go

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

Length of Bar using Elongation of Conical Bar with Cross-sectional area calculator uses Length of Tapered Bar = Elongation/(Applied Load SOM/(6*Area of Cross-Section*Young's Modulus)) to calculate the Length of Tapered Bar, The Length of Bar using Elongation of Conical Bar with Cross-sectional area formula is defined as overall length of the tapered bar. Length of Tapered Bar is denoted by l symbol.

How to calculate Length of Bar using Elongation of Conical Bar with Cross-sectional area using this online calculator? To use this online calculator for Length of Bar using Elongation of Conical Bar with Cross-sectional area, enter Elongation (δl), Applied Load SOM (W_Load), Area of Cross-Section (A) & Young's Modulus (E) and hit the calculate button. Here is how the Length of Bar using Elongation of Conical Bar with Cross-sectional area calculation can be explained with given input values -> 7.68 = 0.02/(1750000/(6*0.0056*20000000000)).

FAQ

What is Length of Bar using Elongation of Conical Bar with Cross-sectional area?

The Length of Bar using Elongation of Conical Bar with Cross-sectional area formula is defined as overall length of the tapered bar and is represented as l = δl/(W_Load/(6*A*E)) or Length of Tapered Bar = Elongation/(Applied Load SOM/(6*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), The Applied Load SOM is a force imposed on an object by a person or another object, 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 Length of Bar using Elongation of Conical Bar with Cross-sectional area?

The Length of Bar using Elongation of Conical Bar with Cross-sectional area formula is defined as overall length of the tapered bar is calculated using Length of Tapered Bar = Elongation/(Applied Load SOM/(6*Area of Cross-Section*Young's Modulus)). To calculate Length of Bar using Elongation of Conical Bar with Cross-sectional area, you need Elongation (δl), Applied Load SOM (W_Load), Area of Cross-Section (A) & Young's Modulus (E). With our tool, you need to enter the respective value for Elongation, Applied Load SOM, 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.

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