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

✖Specific Weight is defined as weight per unit volume.ⓘ Specific Weight [γ]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖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%

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Modulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight [E]

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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 00.004 seconds)

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< 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)

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

LaTeX Go

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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