Diameter at Other End 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%
✖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%
✖Diameter2 is the length of the diameter on 2nd side.ⓘ Diameter2 [d₂]			+10% -10%

✖Diameter1 is the diameter on one side of the rod.ⓘ Diameter at Other End of Circular Tapering Rod [d₁]

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Formula

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Diameter at Other End of Circular Tapering Rod

Formula

`"d"_{"1"} = 4*"W"_{"Applied load"}*"L"/(pi*"E"*"δl"*"d"_{"2"})`

Example

`"0.040926m"=4*"150kN"*"3m"/(pi*"20000MPa"*"0.020m"*"0.035m")`

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Diameter at Other End of Circular Tapering Rod Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter1 - (Measured in Meter) - Diameter1 is the diameter on one side of the rod.
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).
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
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Elongation: 0.02 Meter --> 0.02 Meter No Conversion Required
Diameter2: 0.035 Meter --> 0.035 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₁ = 4*W_{Applied load}*L/(pi*E*δl*d₂) --> 4*150000*3/(pi*20000000000*0.02*0.035)

Evaluating ... ...

d₁ = 0.0409255567950588

STEP 3: Convert Result to Output's Unit

0.0409255567950588 Meter --> No Conversion Required

FINAL ANSWER

0.0409255567950588 ≈ 0.040926 Meter <-- Diameter1

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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 at Other End of Circular Tapering Rod Formula

Diameter1 = 4*Applied Load*Length/(pi*Young's Modulus*Elongation*Diameter2)
d₁ = 4*W_{Applied load}*L/(pi*E*δl*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 Diameter at Other End of Circular Tapering Rod?

Diameter at Other End of Circular Tapering Rod calculator uses Diameter1 = 4*Applied Load*Length/(pi*Young's Modulus*Elongation*Diameter2) to calculate the Diameter1, Diameter at Other End of Circular Tapering Rod when Extension is established is defined as cross section at one side of rod. Diameter1 is denoted by d₁ symbol.

How to calculate Diameter at Other End of Circular Tapering Rod using this online calculator? To use this online calculator for Diameter at Other End of Circular Tapering Rod, enter Applied Load (W_{Applied load}), Length (L), Young's Modulus (E), Elongation (δl) & Diameter2 (d₂) and hit the calculate button. Here is how the Diameter at Other End of Circular Tapering Rod calculation can be explained with given input values -> 0.040926 = 4*150000*3/(pi*20000000000*0.02*0.035).

FAQ

What is Diameter at Other End of Circular Tapering Rod?

Diameter at Other End of Circular Tapering Rod when Extension is established is defined as cross section at one side of rod and is represented as d₁ = 4*W_{Applied load}*L/(pi*E*δl*d₂) or Diameter1 = 4*Applied Load*Length/(pi*Young's Modulus*Elongation*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, 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) & Diameter2 is the length of the diameter on 2nd side.

How to calculate Diameter at Other End of Circular Tapering Rod?

Diameter at Other End of Circular Tapering Rod when Extension is established is defined as cross section at one side of rod is calculated using Diameter1 = 4*Applied Load*Length/(pi*Young's Modulus*Elongation*Diameter2). To calculate Diameter at Other End of Circular Tapering Rod, you need Applied Load (W_{Applied load}), Length (L), Young's Modulus (E), Elongation (δl) & Diameter2 (d₂). With our tool, you need to enter the respective value for Applied Load, Length, Young's Modulus, Elongation & Diameter2 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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