Load at End with known Extension of Circular Tapering Rod Solution

STEP 0: Pre-Calculation Summary
Formula Used
Applied Load = Elongation/(4*Length/(pi*Young's Modulus*Diameter1*Diameter2))
WApplied load = δl/(4*L/(pi*E*d1*d2))
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Applied Load - (Measured in Newton) - Applied Load is a force imposed on an object by a person or another object.
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).
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.
Diameter1 - (Measured in Meter) - Diameter1 is the diameter on one side of the rod.
Diameter2 - (Measured in Meter) - Diameter2 is the length of the diameter on 2nd side.
STEP 1: Convert Input(s) to Base Unit
Elongation: 0.02 Meter --> 0.02 Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion ​here)
Diameter1: 0.045 Meter --> 0.045 Meter No Conversion Required
Diameter2: 0.035 Meter --> 0.035 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
WApplied load = δl/(4*L/(pi*E*d1*d2)) --> 0.02/(4*3/(pi*20000000000*0.045*0.035))
Evaluating ... ...
WApplied load = 164933.614313464
STEP 3: Convert Result to Output's Unit
164933.614313464 Newton -->164.933614313464 Kilonewton (Check conversion ​here)
FINAL ANSWER
164.933614313464 164.9336 Kilonewton <-- Applied Load
(Calculation completed in 00.004 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
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Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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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))

Load at End with known Extension of Circular Tapering Rod Formula

​LaTeX ​Go
Applied Load = Elongation/(4*Length/(pi*Young's Modulus*Diameter1*Diameter2))
WApplied load = δl/(4*L/(pi*E*d1*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 electro mechanical sensors.

How to Calculate Load at End with known Extension of Circular Tapering Rod?

Load at End with known Extension of Circular Tapering Rod calculator uses Applied Load = Elongation/(4*Length/(pi*Young's Modulus*Diameter1*Diameter2)) to calculate the Applied Load, The Load at End with known Extension of Circular Tapering Rod is defined as amount of pull at one end. Applied Load is denoted by WApplied load symbol.

How to calculate Load at End with known Extension of Circular Tapering Rod using this online calculator? To use this online calculator for Load at End with known Extension of Circular Tapering Rod, enter Elongation (δl), Length (L), Young's Modulus (E), Diameter1 (d1) & Diameter2 (d2) and hit the calculate button. Here is how the Load at End with known Extension of Circular Tapering Rod calculation can be explained with given input values -> 0.164934 = 0.02/(4*3/(pi*20000000000*0.045*0.035)).

FAQ

What is Load at End with known Extension of Circular Tapering Rod?
The Load at End with known Extension of Circular Tapering Rod is defined as amount of pull at one end and is represented as WApplied load = δl/(4*L/(pi*E*d1*d2)) or Applied Load = Elongation/(4*Length/(pi*Young's Modulus*Diameter1*Diameter2)). Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest), 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, Diameter1 is the diameter on one side of the rod & Diameter2 is the length of the diameter on 2nd side.
How to calculate Load at End with known Extension of Circular Tapering Rod?
The Load at End with known Extension of Circular Tapering Rod is defined as amount of pull at one end is calculated using Applied Load = Elongation/(4*Length/(pi*Young's Modulus*Diameter1*Diameter2)). To calculate Load at End with known Extension of Circular Tapering Rod, you need Elongation (δl), Length (L), Young's Modulus (E), Diameter1 (d1) & Diameter2 (d2). With our tool, you need to enter the respective value for Elongation, Length, Young's Modulus, Diameter1 & 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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