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*WApplied 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*WApplied 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 00.020 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by M Naveen
National Institute of Technology (NIT), Warangal
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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 One End of Circular Tapering Rod Formula

Diameter2 = 4*Applied Load*Length/(pi*Young's Modulus*Elongation*Diameter1)
d2 = 4*WApplied 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 (WApplied 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*WApplied 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 (WApplied 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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