Load on Conical Bar with known Elongation due to Self Weight Solution

STEP 0: Pre-Calculation Summary
Formula Used
Applied Load SOM = Elongation/(Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus))
WLoad = δl/(l/(6*A*E))
This formula uses 5 Variables
Variables Used
Applied Load SOM - (Measured in Newton) - The Applied Load SOM 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 of Tapered Bar - (Measured in Meter) - The Length of Tapered Bar is defined as the total length of the Bar.
Area of Cross-Section - (Measured in Square Meter) - Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.
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.
STEP 1: Convert Input(s) to Base Unit
Elongation: 0.02 Meter --> 0.02 Meter No Conversion Required
Length of Tapered Bar: 7.8 Meter --> 7.8 Meter No Conversion Required
Area of Cross-Section: 5600 Square Millimeter --> 0.0056 Square Meter (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
WLoad = δl/(l/(6*A*E)) --> 0.02/(7.8/(6*0.0056*20000000000))
Evaluating ... ...
WLoad = 1723076.92307692
STEP 3: Convert Result to Output's Unit
1723076.92307692 Newton -->1723.07692307692 Kilonewton (Check conversion here)
FINAL ANSWER
1723.07692307692 1723.077 Kilonewton <-- Applied Load SOM
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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13 Elongation of Tapering Bar due to Self Weight Calculators

Length of Circular Tapering Rod when deflection due to load
Go Length = Elongation/(4*Applied Load SOM/(pi*Young's Modulus*(Diameter1*Diameter2)))
Length of Bar using Elongation of Conical Bar with Cross-sectional area
Go Length of Tapered Bar = Elongation/(Applied Load SOM/(6*Area of Cross-Section*Young's Modulus))
Load on Conical Bar with known Elongation due to Self Weight
Go Applied Load SOM = Elongation/(Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus))
Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area
Go Young's Modulus = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Elongation)
Elongation of Conical Bar due to Self Weight with known Cross-sectional area
Go Elongation = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus)
Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar
Go Length = Elongation/(Applied Load SOM/(2*Area of Cross-Section*Young's Modulus))
Load on Prismatic Bar with known Elongation due to Self Weight
Go Applied Load SOM = Elongation/(Length/(2*Area of Cross-Section*Young's Modulus))
Length of Bar given Elongation of Conical Bar due to Self Weight
Go Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus)))
Self Weight of Prismatic Bar with known Elongation
Go Specific Weight = Elongation/(Length*Length/(Young's Modulus*2))
Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight
Go Young's Modulus = Specific Weight*Length*Length/(Elongation*2)
Self Weight of Conical section with known Elongation
Go Specific Weight = Elongation/(Tapered Bar Length^2/(6*Young's Modulus))
Elongation of Conical bar due to Self Weight
Go Elongation = (Specific Weight*Tapered Bar Length^2)/(6*Young's Modulus)
Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight
Go Young's Modulus = Specific Weight*Tapered Bar Length^2/(6*Elongation)

Load on Conical Bar with known Elongation due to Self Weight Formula

Applied Load SOM = Elongation/(Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus))
WLoad = δl/(l/(6*A*E))

What is Tapering Rod?

A Circular rod is basically taper uniformly from one end to another end throughout the length and therefore its one end will be of larger diameter and other end will be of smaller diameter.

How to Calculate Load on Conical Bar with known Elongation due to Self Weight?

Load on Conical Bar with known Elongation due to Self Weight calculator uses Applied Load SOM = Elongation/(Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus)) to calculate the Applied Load SOM, Load on Conical Bar with known Elongation due to Self Weight is defined as the total load produced by conical rod considering self-weight. Applied Load SOM is denoted by WLoad symbol.

How to calculate Load on Conical Bar with known Elongation due to Self Weight using this online calculator? To use this online calculator for Load on Conical Bar with known Elongation due to Self Weight, enter Elongation (δl), Length of Tapered Bar (l), Area of Cross-Section (A) & Young's Modulus (E) and hit the calculate button. Here is how the Load on Conical Bar with known Elongation due to Self Weight calculation can be explained with given input values -> 1.723077 = 0.02/(7.8/(6*0.0056*20000000000)).

FAQ

What is Load on Conical Bar with known Elongation due to Self Weight?
Load on Conical Bar with known Elongation due to Self Weight is defined as the total load produced by conical rod considering self-weight and is represented as WLoad = δl/(l/(6*A*E)) or Applied Load SOM = Elongation/(Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus)). Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest), The Length of Tapered Bar is defined as the total length of the Bar, Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area & Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
How to calculate Load on Conical Bar with known Elongation due to Self Weight?
Load on Conical Bar with known Elongation due to Self Weight is defined as the total load produced by conical rod considering self-weight is calculated using Applied Load SOM = Elongation/(Length of Tapered Bar/(6*Area of Cross-Section*Young's Modulus)). To calculate Load on Conical Bar with known Elongation due to Self Weight, you need Elongation (δl), Length of Tapered Bar (l), Area of Cross-Section (A) & Young's Modulus (E). With our tool, you need to enter the respective value for Elongation, Length of Tapered Bar, Area of Cross-Section & Young's Modulus 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 Applied Load SOM?
In this formula, Applied Load SOM uses Elongation, Length of Tapered Bar, Area of Cross-Section & Young's Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Applied Load SOM = Elongation/(Length/(2*Area of Cross-Section*Young's Modulus))
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