Length of Circular Tapered Rod with Uniform Cross Section 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%
✖The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.ⓘ Diameter of Shaft [d]			+10% -10%

✖Length is the measurement or extent of something from end to end.ⓘ Length of Circular Tapered Rod with Uniform Cross Section [L]

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Length of Circular Tapered Rod with Uniform Cross Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length = Elongation/(4*Applied Load/(pi*Young's Modulus*(Diameter of Shaft^2)))
L = δl/(4*W_{Applied load}/(pi*E*(d^2)))
This formula uses 1 Constants, 5 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.
Diameter of Shaft - (Measured in Meter) - The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.

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)
Diameter of Shaft: 0.12 Meter --> 0.12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = δl/(4*W_{Applied load}/(pi*E*(d^2))) --> 0.02/(4*150000/(pi*20000000000*(0.12^2)))

Evaluating ... ...

L = 30.159289474462

STEP 3: Convert Result to Output's Unit

30.159289474462 Meter --> No Conversion Required

FINAL ANSWER

30.159289474462 ≈ 30.15929 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 Tapered Rod with Uniform Cross Section Formula

LaTeX Go

Length = Elongation/(4*Applied Load/(pi*Young's Modulus*(Diameter of Shaft^2)))
L = δl/(4*W_{Applied load}/(pi*E*(d^2)))

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 electro mechanical sensors.

How to Calculate Length of Circular Tapered Rod with Uniform Cross Section?

Length of Circular Tapered Rod with Uniform Cross Section calculator uses Length = Elongation/(4*Applied Load/(pi*Young's Modulus*(Diameter of Shaft^2))) to calculate the Length, The Length of Circular Tapered Rod with Uniform Cross Section is defined as overall length of pull influencing the extension of the bar. Length is denoted by L symbol.

How to calculate Length of Circular Tapered Rod with Uniform Cross Section using this online calculator? To use this online calculator for Length of Circular Tapered Rod with Uniform Cross Section, enter Elongation (δl), Applied Load (W_{Applied load}), Young's Modulus (E) & Diameter of Shaft (d) and hit the calculate button. Here is how the Length of Circular Tapered Rod with Uniform Cross Section calculation can be explained with given input values -> 30.15929 = 0.02/(4*150000/(pi*20000000000*(0.12^2))).

FAQ

What is Length of Circular Tapered Rod with Uniform Cross Section?

The Length of Circular Tapered Rod with Uniform Cross Section is defined as overall length of pull influencing the extension of the bar and is represented as L = δl/(4*W_{Applied load}/(pi*E*(d^2))) or Length = Elongation/(4*Applied Load/(pi*Young's Modulus*(Diameter of Shaft^2))). 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 & The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.

How to calculate Length of Circular Tapered Rod with Uniform Cross Section?

The Length of Circular Tapered Rod with Uniform Cross Section is defined as overall length of pull influencing the extension of the bar is calculated using Length = Elongation/(4*Applied Load/(pi*Young's Modulus*(Diameter of Shaft^2))). To calculate Length of Circular Tapered Rod with Uniform Cross Section, you need Elongation (δl), Applied Load (W_{Applied load}), Young's Modulus (E) & Diameter of Shaft (d). With our tool, you need to enter the respective value for Elongation, Applied Load, Young's Modulus & Diameter of Shaft 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 & Diameter of Shaft. 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*Diameter1*Diameter2))

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