Length of Circular Tapering Rod when deflection due to load 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%
✖The Applied Load SOM is a force imposed on an object by a person or another object.ⓘ Applied Load SOM [W_Load]			+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%

✖Length is the measurement or extent of something from end to end.ⓘ Length of Circular Tapering Rod when deflection due to load [L]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Stress and Strain Formulas PDF PDF Image

Length of Circular Tapering Rod when deflection due to load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
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).
Applied Load SOM - (Measured in Newton) - The Applied Load SOM is a force imposed on an object by a person or another object.
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
Applied Load SOM: 1750 Kilonewton --> 1750000 Newton (Check conversion here)
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

L = δl/(4*W_Load/(pi*E*(d₁*d₂))) --> 0.02/(4*1750000/(pi*20000000000*(0.045*0.035)))

Evaluating ... ...

L = 0.282743338823081

STEP 3: Convert Result to Output's Unit

0.282743338823081 Meter --> No Conversion Required

FINAL ANSWER

0.282743338823081 ≈ 0.282743 Meter <-- Length

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Strength of Materials » Stress and Strain » Elongation of Tapering Bar due to Self Weight » Length of Circular Tapering Rod when deflection due to load

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

M Naveen has verified this Calculator and 900+ more calculators!

< Elongation of Tapering Bar due to Self Weight Calculators

Length of Circular Tapering Rod when deflection due to load

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

Load on Prismatic Bar with known Elongation due to Self Weight

LaTeX Go Applied Load SOM = Elongation/(Length/(2*Area of Cross-Section*Young's Modulus))

Self Weight of Prismatic Bar with known Elongation

LaTeX Go Specific Weight = Elongation/(Length*Length/(Young's Modulus*2))

Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight

LaTeX Go Young's Modulus = Specific Weight*Length*Length/(Elongation*2)

Length of Circular Tapering Rod when deflection due to load Formula

LaTeX Go

Length = Elongation/(4*Applied Load SOM/(pi*Young's Modulus*(Diameter1*Diameter2)))
L = δl/(4*W_Load/(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 electromechanical sensors.

How to Calculate Length of Circular Tapering Rod when deflection due to load?

Length of Circular Tapering Rod when deflection due to load calculator uses Length = Elongation/(4*Applied Load SOM/(pi*Young's Modulus*(Diameter1*Diameter2))) to calculate the Length, The Length of Circular Tapering Rod when deflection due to load is defined as the pull applied on the rod. Length is denoted by L symbol.

How to calculate Length of Circular Tapering Rod when deflection due to load using this online calculator? To use this online calculator for Length of Circular Tapering Rod when deflection due to load, enter Elongation (δl), Applied Load SOM (W_Load), Young's Modulus (E), Diameter1 (d₁) & Diameter2 (d₂) and hit the calculate button. Here is how the Length of Circular Tapering Rod when deflection due to load calculation can be explained with given input values -> 3.298672 = 0.02/(4*1750000/(pi*20000000000*(0.045*0.035))).

FAQ

What is Length of Circular Tapering Rod when deflection due to load?

The Length of Circular Tapering Rod when deflection due to load is defined as the pull applied on the rod and is represented as L = δl/(4*W_Load/(pi*E*(d₁*d₂))) or Length = Elongation/(4*Applied Load SOM/(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), The Applied Load SOM is a force imposed on an object by a person or another object, 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 Length of Circular Tapering Rod when deflection due to load?

The Length of Circular Tapering Rod when deflection due to load is defined as the pull applied on the rod is calculated using Length = Elongation/(4*Applied Load SOM/(pi*Young's Modulus*(Diameter1*Diameter2))). To calculate Length of Circular Tapering Rod when deflection due to load, you need Elongation (δl), Applied Load SOM (W_Load), Young's Modulus (E), Diameter1 (d₁) & Diameter2 (d₂). With our tool, you need to enter the respective value for Elongation, Applied Load SOM, 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.

How many ways are there to calculate Length?

In this formula, Length uses Elongation, Applied Load SOM, Young's Modulus, Diameter1 & Diameter2. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length = Elongation/(Applied Load SOM/(2*Area of Cross-Section*Young's Modulus))

Home

FREE PDFs

🔍 Search