Length of Circular Tapering rod 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%
✖Applied Load is a force imposed on an object by a person or another object.ⓘ Applied Load [W_{Applied load}]			+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%
✖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%

✖Length is the measurement or extent of something from end to end.ⓘ Length of Circular Tapering rod [L]

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Length of Circular Tapering rod Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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).
Applied Load - (Measured in Newton) - Applied Load is a force imposed on an object by a person or another object.
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.
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

Elongation: 0.02 Meter --> 0.02 Meter No Conversion Required
Applied Load: 150 Kilonewton --> 150000 Newton (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
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

L = δl/(4*W_{Applied load}/(pi*E*d₁*d₂)) --> 0.02/(4*150000/(pi*20000000000*0.045*0.035))

Evaluating ... ...

L = 3.29867228626928

STEP 3: Convert Result to Output's Unit

3.29867228626928 Meter --> No Conversion Required

FINAL ANSWER

3.29867228626928 ≈ 3.298672 Meter <-- Length

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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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))

Length of Circular Tapering rod Formula

LaTeX Go

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

How to Calculate Length of Circular Tapering rod?

Length of Circular Tapering rod calculator uses Length = Elongation/(4*Applied Load/(pi*Young's Modulus*Diameter1*Diameter2)) to calculate the Length, The Length of Circular Tapering rod when extension is established is defined as overall length of rod under pull or loaded. Length is denoted by L symbol.

How to calculate Length of Circular Tapering rod using this online calculator? To use this online calculator for Length of Circular Tapering rod, enter Elongation (δl), Applied Load (W_{Applied load}), Young's Modulus (E), Diameter1 (d₁) & Diameter2 (d₂) and hit the calculate button. Here is how the Length of Circular Tapering rod calculation can be explained with given input values -> 3.298672 = 0.02/(4*150000/(pi*20000000000*0.045*0.035)).

FAQ

What is Length of Circular Tapering rod?

The Length of Circular Tapering rod when extension is established is defined as overall length of rod under pull or loaded and is represented as L = δl/(4*W_{Applied load}/(pi*E*d₁*d₂)) or Length = Elongation/(4*Applied Load/(pi*Young's Modulus*Diameter1*Diameter2)). Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest), Applied Load is a force imposed on an object by a person or another object, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Diameter1 is the diameter on one side of the rod & Diameter2 is the length of the diameter on 2nd side.

How to calculate Length of Circular Tapering rod?

The Length of Circular Tapering rod when extension is established is defined as overall length of rod under pull or loaded is calculated using Length = Elongation/(4*Applied Load/(pi*Young's Modulus*Diameter1*Diameter2)). To calculate Length of Circular Tapering rod, you need Elongation (δl), Applied Load (W_{Applied load}), Young's Modulus (E), Diameter1 (d₁) & Diameter2 (d₂). With our tool, you need to enter the respective value for Elongation, Applied Load, Young's Modulus, 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 Length?

In this formula, Length uses Elongation, Applied Load, Young's Modulus, Diameter1 & Diameter2. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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