Specific weight of Truncated Conical Rod using its elongation due to Self Weight Solution

STEP 0: Pre-Calculation Summary
Formula Used
Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2)))
γRod = δl/(((l^2)*(d1+d2))/(6*E*(d1-d2)))
This formula uses 6 Variables
Variables Used
Specific Weight of Rod - (Measured in Newton per Cubic Meter) - Specific Weight of Rod is defined as weight per unit volume of the rod.
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.
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.
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
Diameter1: 0.045 Meter --> 0.045 Meter No Conversion Required
Diameter2: 0.035 Meter --> 0.035 Meter No Conversion Required
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γRod = δl/(((l^2)*(d1+d2))/(6*E*(d1-d2))) --> 0.02/(((7.8^2)*(0.045+0.035))/(6*20000000000*(0.045-0.035)))
Evaluating ... ...
γRod = 4930966.46942801
STEP 3: Convert Result to Output's Unit
4930966.46942801 Newton per Cubic Meter -->4930.96646942801 Kilonewton per Cubic Meter (Check conversion here)
FINAL ANSWER
4930.96646942801 4930.966 Kilonewton per Cubic Meter <-- Specific Weight of Rod
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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11 Elongation due to Self weight Calculators

Length of Rod of Truncated Conical Section
Go Length of Tapered Bar = sqrt(Elongation/(((Specific Weight of Rod)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))))
Specific weight of Truncated Conical Rod using its elongation due to Self Weight
Go Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2)))
Modulus of Elasticity of Bar with known elongation of Truncated Conical Rod due to Self Weight
Go Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2))
Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight
Go Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2))
Elongation of Truncated Conical Rod due to Self Weight
Go Elongation = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))
Length of Bar using its Uniform Strength
Go Length = (2.303*log10(Area 1/Area 2))*(Uniform Stress/Specific Weight of Rod)
Uniform Stress on Bar due to Self-Weight
Go Uniform Stress = Length/((2.303*log10(Area 1/Area 2))/Specific Weight of Rod)
Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight
Go Area of Cross-Section = Applied Load SOM*Length/(6*Elongation*Young's Modulus)
Elongation due to Self Weight in Prismatic Bar using Applied Load
Go Elongation = Applied Load SOM*Length/(2*Area of Cross-Section*Young's Modulus)
Length of Bar using Elongation due to Self Weight in Prismatic bar
Go Length = sqrt(Elongation/(Specific Weight of Rod/(Young's Modulus*2)))
Elongation due to Self Weight in Prismatic Bar
Go Elongation = Specific Weight of Rod*Length*Length/(Young's Modulus*2)

Specific weight of Truncated Conical Rod using its elongation due to Self Weight Formula

Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2)))
γRod = δl/(((l^2)*(d1+d2))/(6*E*(d1-d2)))

What is Density of Bar?

The density of steel varies based on the alloying constituents but usually ranges between 7,750 and 8,050 kg/m3 (484 and 503 lb/cu ft), or 7.75 and 8.05 g/cm3 (4.48 and 4.65 oz/cu in).

How to Calculate Specific weight of Truncated Conical Rod using its elongation due to Self Weight?

Specific weight of Truncated Conical Rod using its elongation due to Self Weight calculator uses Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))) to calculate the Specific Weight of Rod, The Specific weight of Truncated Conical Rod using its elongation due to Self Weight is defined as mass per unit volume of bar. Specific Weight of Rod is denoted by γRod symbol.

How to calculate Specific weight of Truncated Conical Rod using its elongation due to Self Weight using this online calculator? To use this online calculator for Specific weight of Truncated Conical Rod using its elongation due to Self Weight, enter Elongation (δl), Length of Tapered Bar (l), Diameter1 (d1), Diameter2 (d2) & Young's Modulus (E) and hit the calculate button. Here is how the Specific weight of Truncated Conical Rod using its elongation due to Self Weight calculation can be explained with given input values -> 4.930966 = 0.02/(((7.8^2)*(0.045+0.035))/(6*20000000000*(0.045-0.035))).

FAQ

What is Specific weight of Truncated Conical Rod using its elongation due to Self Weight?
The Specific weight of Truncated Conical Rod using its elongation due to Self Weight is defined as mass per unit volume of bar and is represented as γRod = δl/(((l^2)*(d1+d2))/(6*E*(d1-d2))) or Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*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 Length of Tapered Bar is defined as the total length of the Bar, Diameter1 is the diameter on one side of the rod, Diameter2 is the length of the diameter on 2nd side & 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 Specific weight of Truncated Conical Rod using its elongation due to Self Weight?
The Specific weight of Truncated Conical Rod using its elongation due to Self Weight is defined as mass per unit volume of bar is calculated using Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))). To calculate Specific weight of Truncated Conical Rod using its elongation due to Self Weight, you need Elongation (δl), Length of Tapered Bar (l), Diameter1 (d1), Diameter2 (d2) & Young's Modulus (E). With our tool, you need to enter the respective value for Elongation, Length of Tapered Bar, Diameter1, Diameter2 & Young's Modulus 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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