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

STEP 0: Pre-Calculation Summary
Formula Used
Young's Modulus = Specific Weight*Length*Length/(Elongation*2)
E = γ*L*L/(δl*2)
This formula uses 4 Variables
Variables Used
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.
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight is defined as weight per unit volume.
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).
STEP 1: Convert Input(s) to Base Unit
Specific Weight: 70 Kilonewton per Cubic Meter --> 70000 Newton per Cubic Meter (Check conversion here)
Length: 3 Meter --> 3 Meter No Conversion Required
Elongation: 0.02 Meter --> 0.02 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = γ*L*L/(δl*2) --> 70000*3*3/(0.02*2)
Evaluating ... ...
E = 15750000
STEP 3: Convert Result to Output's Unit
15750000 Pascal -->15.75 Megapascal (Check conversion here)
FINAL ANSWER
15.75 Megapascal <-- Young's Modulus
(Calculation completed in 00.020 seconds)

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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)

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

Young's Modulus = Specific Weight*Length*Length/(Elongation*2)
E = γ*L*L/(δl*2)

What is Self Weight?

Self-weight refers to the own weight of body, due to the mass present in it. The load exerted due to the self weight is the permanent load on the structure. The load exerted by the self weight is also called dead load.

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

Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight calculator uses Young's Modulus = Specific Weight*Length*Length/(Elongation*2) to calculate the Young's Modulus, The Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight is defined as the measure of the stiffness of a material. Young's Modulus is denoted by E symbol.

How to calculate Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight using this online calculator? To use this online calculator for Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight, enter Specific Weight (γ), Length (L) & Elongation (δl) and hit the calculate button. Here is how the Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight calculation can be explained with given input values -> 1.6E-5 = 70000*3*3/(0.02*2).

FAQ

What is Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight?
The Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight is defined as the measure of the stiffness of a material and is represented as E = γ*L*L/(δl*2) or Young's Modulus = Specific Weight*Length*Length/(Elongation*2). Specific Weight is defined as weight per unit volume, Length is the measurement or extent of something from end to end & Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).
How to calculate Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight?
The Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight is defined as the measure of the stiffness of a material is calculated using Young's Modulus = Specific Weight*Length*Length/(Elongation*2). To calculate Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight, you need Specific Weight (γ), Length (L) & Elongation (δl). With our tool, you need to enter the respective value for Specific Weight, Length & Elongation 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 Young's Modulus?
In this formula, Young's Modulus uses Specific Weight, Length & Elongation. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Young's Modulus = Specific Weight*Tapered Bar Length^2/(6*Elongation)
  • Young's Modulus = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Elongation)
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