Diameter at One 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%
✖Diameter1 is the diameter on one side of the rod.ⓘ Diameter1 [d₁]			+10% -10%

✖Diameter2 is the length of the diameter on 2nd side.ⓘ Diameter at One End of Circular Tapering Rod [d₂]

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Diameter at One End of Circular Tapering Rod Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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

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
Diameter1: 0.045 Meter --> 0.045 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₂ = 4*W_{Applied load}*L/(pi*E*δl*d₁) --> 4*150000*3/(pi*20000000000*0.02*0.045)

Evaluating ... ...

d₂ = 0.0318309886183791

STEP 3: Convert Result to Output's Unit

0.0318309886183791 Meter --> No Conversion Required

FINAL ANSWER

0.0318309886183791 ≈ 0.031831 Meter <-- Diameter2

(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))

Diameter at One End of Circular Tapering Rod Formula

LaTeX Go

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

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 One End of Circular Tapering Rod?

Diameter at One End of Circular Tapering Rod calculator uses Diameter2 = 4*Applied Load*Length/(pi*Young's Modulus*Elongation*Diameter1) to calculate the Diameter2, The Diameter at One End of Circular Tapering Rod when extension is established is defined as cross section at one side of rod. Diameter2 is denoted by d₂ symbol.

How to calculate Diameter at One End of Circular Tapering Rod using this online calculator? To use this online calculator for Diameter at One End of Circular Tapering Rod, enter Applied Load (W_{Applied load}), Length (L), Young's Modulus (E), Elongation (δl) & Diameter1 (d₁) and hit the calculate button. Here is how the Diameter at One End of Circular Tapering Rod calculation can be explained with given input values -> 0.031831 = 4*150000*3/(pi*20000000000*0.02*0.045).

FAQ

What is Diameter at One End of Circular Tapering Rod?

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

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

The Diameter at One End of Circular Tapering Rod when extension is established is defined as cross section at one side of rod is calculated using Diameter2 = 4*Applied Load*Length/(pi*Young's Modulus*Elongation*Diameter1). To calculate Diameter at One End of Circular Tapering Rod, you need Applied Load (W_{Applied load}), Length (L), Young's Modulus (E), Elongation (δl) & Diameter1 (d₁). With our tool, you need to enter the respective value for Applied Load, Length, Young's Modulus, Elongation & Diameter1 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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