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*WApplied 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*WApplied 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 00.004 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Coorg Institute of Technology (CIT), Coorg
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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 Other End of Circular Tapering Rod Formula

​LaTeX ​Go
Diameter1 = 4*Applied Load*Length/(pi*Young's Modulus*Elongation*Diameter2)
d1 = 4*WApplied 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 (WApplied 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*WApplied 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 (WApplied 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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