Diameter of Circular Tapered Rod with Uniform Cross Section 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%
✖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%
✖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 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 Circular Tapered Rod with Uniform Cross Section [d]

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Formula

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Diameter of Circular Tapered Rod with Uniform Cross Section

Formula

`"d" = sqrt(4*"W"_{"Applied load"}*"L"/(pi*"E"*"δl"))`

Example

`"0.037847m"=sqrt(4*"150kN"*"3m"/(pi*"20000MPa"*"0.020m"))`

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Diameter of Circular Tapered Rod with Uniform Cross Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Shaft = sqrt(4*Applied Load*Length/(pi*Young's Modulus*Elongation))
d = sqrt(4*W_{Applied load}*L/(pi*E*δl))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.
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: 150 Kilonewton --> 150000 Newton (Check conversion here)
Length: 3 Meter --> 3 Meter No Conversion Required
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Elongation: 0.02 Meter --> 0.02 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt(4*W_{Applied load}*L/(pi*E*δl)) --> sqrt(4*150000*3/(pi*20000000000*0.02))

Evaluating ... ...

d = 0.0378469878303024

STEP 3: Convert Result to Output's Unit

0.0378469878303024 Meter --> No Conversion Required

FINAL ANSWER

0.0378469878303024 ≈ 0.037847 Meter <-- Diameter of Shaft

(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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NSS College of Engineering (NSSCE), Palakkad

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< 10+ Circular Tapering Rod Calculators

Diameter of Circular Tapered Rod with Uniform Cross Section

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

Load at End with known Extension of Circular Tapering Rod

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

Length of Circular Tapering rod

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

Modulus of Elasticity using Elongation of Circular Tapering Rod

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

Diameter at Other End of Circular Tapering Rod

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

Diameter at One End of Circular Tapering Rod

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

Elongation of Circular Tapering Rod

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

Length of Circular Tapered Rod with Uniform Cross Section

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

Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section

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

Elongation of Prismatic Rod

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

Diameter of Circular Tapered Rod with Uniform Cross Section Formula

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

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 Diameter of Circular Tapered Rod with Uniform Cross Section?

Diameter of Circular Tapered Rod with Uniform Cross Section calculator uses Diameter of Shaft = sqrt(4*Applied Load*Length/(pi*Young's Modulus*Elongation)) to calculate the Diameter of Shaft, The Diameter of Circular Tapered Rod with Uniform Cross Section is defined as width of section at any point in the overall length. Diameter of Shaft is denoted by d symbol.

How to calculate Diameter of Circular Tapered Rod with Uniform Cross Section using this online calculator? To use this online calculator for Diameter of Circular Tapered Rod with Uniform Cross Section, enter Applied Load (W_{Applied load}), Length (L), Young's Modulus (E) & Elongation (δl) and hit the calculate button. Here is how the Diameter of Circular Tapered Rod with Uniform Cross Section calculation can be explained with given input values -> 0.037847 = sqrt(4*150000*3/(pi*20000000000*0.02)).

FAQ

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

The Diameter of Circular Tapered Rod with Uniform Cross Section is defined as width of section at any point in the overall length and is represented as d = sqrt(4*W_{Applied load}*L/(pi*E*δl)) or Diameter of Shaft = sqrt(4*Applied Load*Length/(pi*Young's Modulus*Elongation)). 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, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain & 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 Diameter of Circular Tapered Rod with Uniform Cross Section?

The Diameter of Circular Tapered Rod with Uniform Cross Section is defined as width of section at any point in the overall length is calculated using Diameter of Shaft = sqrt(4*Applied Load*Length/(pi*Young's Modulus*Elongation)). To calculate Diameter of Circular Tapered Rod with Uniform Cross Section, you need Applied Load (W_{Applied load}), Length (L), Young's Modulus (E) & Elongation (δl). With our tool, you need to enter the respective value for Applied Load, Length, Young's Modulus & Elongation 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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