Modulus of Elasticity using Elongation of Circular Tapering Rod Calculator

✖Applied Load is a force imposed on an object by a person or another object.ⓘ Applied Load [W_{Applied 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%
✖Diameter1 is the diameter on one side of the rod.ⓘ Diameter1 [d₁]			+10% -10%
✖Diameter2 is the length of the diameter on 2nd side.ⓘ Diameter2 [d₂]			+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 using Elongation of Circular Tapering Rod [E]

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Modulus of Elasticity using Elongation of Circular Tapering Rod Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = 4*Applied Load*Length/(pi*Elongation*Diameter1*Diameter2)
E = 4*W_{Applied load}*L/(pi*δl*d₁*d₂)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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 - (Measured in Newton) - Applied Load 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).
Diameter1 - (Measured in Meter) - Diameter1 is the diameter on one side of the rod.
Diameter2 - (Measured in Meter) - Diameter2 is the length of the diameter on 2nd side.

STEP 1: Convert Input(s) to Base Unit

Applied Load: 150 Kilonewton --> 150000 Newton (Check conversion here)
Length: 3 Meter --> 3 Meter No Conversion Required
Elongation: 0.02 Meter --> 0.02 Meter No Conversion Required
Diameter1: 0.045 Meter --> 0.045 Meter No Conversion Required
Diameter2: 0.035 Meter --> 0.035 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = 4*W_{Applied load}*L/(pi*δl*d₁*d₂) --> 4*150000*3/(pi*0.02*0.045*0.035)

Evaluating ... ...

E = 18189136353.3595

STEP 3: Convert Result to Output's Unit

18189136353.3595 Pascal -->18189.1363533595 Megapascal (Check conversion here)

FINAL ANSWER

18189.1363533595 ≈ 18189.14 Megapascal <-- Young's Modulus

(Calculation completed in 00.020 seconds)

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< Circular Tapering Rod Calculators

Load at End with known Extension of Circular Tapering Rod

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

Length of Circular Tapering rod

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

Elongation of Circular Tapering Rod

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

Elongation of Prismatic Rod

LaTeX Go Elongation = 4*Applied Load*Length/(pi*Young's Modulus*(Diameter of Shaft^2))

Modulus of Elasticity using Elongation of Circular Tapering Rod Formula

LaTeX Go

Young's Modulus = 4*Applied Load*Length/(pi*Elongation*Diameter1*Diameter2)
E = 4*W_{Applied load}*L/(pi*δl*d₁*d₂)

What is Tapering Rod?

A tapered rod mounted at one end (base) and subject to a normal force at the other end (tip) is a fundamental structure of continuum mechanics that occurs widely at all size scales from radio towers to fishing rods to micro electromechanical sensors.

What is Modulus of Elasticity?

Elastic modulus, also known as Young's modulus, is a fundamental property of materials that measures their stiffness or resistance to elastic deformation under stress. This property is essential in engineering and materials science, as it determines a material's ability to support loads and maintain its shape

How to Calculate Modulus of Elasticity using Elongation of Circular Tapering Rod?

Modulus of Elasticity using Elongation of Circular Tapering Rod calculator uses Young's Modulus = 4*Applied Load*Length/(pi*Elongation*Diameter1*Diameter2) to calculate the Young's Modulus, The Modulus of Elasticity using Elongation of Circular Tapering Rod is defined as ratio of stress to strain influencing the tapering rod. Young's Modulus is denoted by E symbol.

How to calculate Modulus of Elasticity using Elongation of Circular Tapering Rod using this online calculator? To use this online calculator for Modulus of Elasticity using Elongation of Circular Tapering Rod, enter Applied Load (W_{Applied load}), Length (L), Elongation (δl), Diameter1 (d₁) & Diameter2 (d₂) and hit the calculate button. Here is how the Modulus of Elasticity using Elongation of Circular Tapering Rod calculation can be explained with given input values -> 0.018189 = 4*150000*3/(pi*0.02*0.045*0.035).

FAQ

What is Modulus of Elasticity using Elongation of Circular Tapering Rod?

The Modulus of Elasticity using Elongation of Circular Tapering Rod is defined as ratio of stress to strain influencing the tapering rod and is represented as E = 4*W_{Applied load}*L/(pi*δl*d₁*d₂) or Young's Modulus = 4*Applied Load*Length/(pi*Elongation*Diameter1*Diameter2). Applied Load 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), Diameter1 is the diameter on one side of the rod & Diameter2 is the length of the diameter on 2nd side.

How to calculate Modulus of Elasticity using Elongation of Circular Tapering Rod?

The Modulus of Elasticity using Elongation of Circular Tapering Rod is defined as ratio of stress to strain influencing the tapering rod is calculated using Young's Modulus = 4*Applied Load*Length/(pi*Elongation*Diameter1*Diameter2). To calculate Modulus of Elasticity using Elongation of Circular Tapering Rod, you need Applied Load (W_{Applied load}), Length (L), Elongation (δl), Diameter1 (d₁) & Diameter2 (d₂). With our tool, you need to enter the respective value for Applied Load, Length, Elongation, Diameter1 & Diameter2 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, Length, Elongation, Diameter1 & Diameter2. We can use 1 other way(s) to calculate the same, which is/are as follows -

Young's Modulus = 4*Applied Load*Length/(pi*Elongation*(Diameter of Shaft^2))

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