Load at End with known Extension of Circular Tapering Rod Calculator

✖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%
✖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%
✖Diameter1 is the diameter on one side of the rod.ⓘ Diameter1 [d₁]			+10% -10%
✖Diameter2 is the length of the diameter on 2nd side.ⓘ Diameter2 [d₂]			+10% -10%

✖Applied Load is a force imposed on an object by a person or another object.ⓘ Load at End with known Extension of Circular Tapering Rod [W_{Applied load}]

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Formula

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Load at End with known Extension of Circular Tapering Rod

Formula

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

Example

`"164.9336kN"="0.020m"/(4*"3m"/(pi*"20000MPa"*"0.045m"*"0.035m"))`

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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))
W_{Applied 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

W_{Applied load} = δl/(4*L/(pi*E*d₁*d₂)) --> 0.02/(4*3/(pi*20000000000*0.045*0.035))

Evaluating ... ...

W_{Applied 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 00.021 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))

Load at End with known Extension of Circular Tapering Rod Formula

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