Modulus of Elasticity of Conical Bar with known Elongation and 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%
✖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.ⓘ Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area [E]

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Formula

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

Formula

`"E" = "W"_{"Load"}*"l"/(6*"A"*"δl")`

Example

`"20312.5MPa"="1750kN"*"7.8m"/(6*"5600mm²"*"0.020m")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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).

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = W_Load*l/(6*A*δl) --> 1750000*7.8/(6*0.0056*0.02)

Evaluating ... ...

E = 20312500000

STEP 3: Convert Result to Output's Unit

20312500000 Pascal -->20312.5 Megapascal (Check conversion here)

FINAL ANSWER

20312.5 Megapascal <-- Young's Modulus

(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)

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

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

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

Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area calculator uses Young's Modulus = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Elongation) to calculate the Young's Modulus, The Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area is defined as ratio of stress to strain. Young's Modulus is denoted by E symbol.

How to calculate Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area using this online calculator? To use this online calculator for Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area, enter Applied Load SOM (W_Load), Length of Tapered Bar (l), Area of Cross-Section (A) & Elongation (δl) and hit the calculate button. Here is how the Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area calculation can be explained with given input values -> 0.020312 = 1750000*7.8/(6*0.0056*0.02).

FAQ

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

The Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area is defined as ratio of stress to strain and is represented as E = W_Load*l/(6*A*δl) or Young's Modulus = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Elongation). 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 & Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).

How to calculate Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area?

The Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area is defined as ratio of stress to strain is calculated using Young's Modulus = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Elongation). To calculate Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area, you need Applied Load SOM (W_Load), Length of Tapered Bar (l), Area of Cross-Section (A) & Elongation (δl). With our tool, you need to enter the respective value for Applied Load SOM, Length of Tapered Bar, Area of Cross-Section & Elongation 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 Young's Modulus?

In this formula, Young's Modulus uses Applied Load SOM, Length of Tapered Bar, Area of Cross-Section & Elongation. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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