Modulus of Elasticity given Total Elongation of Bar Calculator

✖Weight by Area is the ratio of weight of a body to its cross-sectional area.ⓘ Weight by Area [ρ_A]			+10% -10%
✖Length of Bar is defined as the total length of the Bar.ⓘ Length of Bar [L_bar]			+10% -10%
✖Total Elongation of a bar is defined as the elongation due to its own weight.ⓘ Total Elongation [δL]			+10% -10%

✖Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of Elasticity given Total Elongation of Bar [E_bar]

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Modulus of Elasticity given Total Elongation of Bar Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity Of Bar = (Weight by Area*Length of Bar)/(2*Total Elongation)
E_bar = (ρ_A*L_bar)/(2*δL)
This formula uses 4 Variables

Variables Used

Modulus of Elasticity Of Bar - (Measured in Pascal) - Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.
Weight by Area - (Measured in Pascal) - Weight by Area is the ratio of weight of a body to its cross-sectional area.
Length of Bar - (Measured in Meter) - Length of Bar is defined as the total length of the Bar.
Total Elongation - (Measured in Meter) - Total Elongation of a bar is defined as the elongation due to its own weight.

STEP 1: Convert Input(s) to Base Unit

Weight by Area: 6 Megapascal --> 6000000 Pascal (Check conversion here)
Length of Bar: 256.66 Millimeter --> 0.25666 Meter (Check conversion here)
Total Elongation: 70 Millimeter --> 0.07 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_bar = (ρ_A*L_bar)/(2*δL) --> (6000000*0.25666)/(2*0.07)

Evaluating ... ...

E_bar = 10999714.2857143

STEP 3: Convert Result to Output's Unit

10999714.2857143 Pascal -->10.9997142857143 Megapascal (Check conversion here)

FINAL ANSWER

10.9997142857143 ≈ 10.99971 Megapascal <-- Modulus of Elasticity Of Bar

(Calculation completed in 00.004 seconds)

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< Elongation of Bar due its Own Weight Calculators

Elongation of element

LaTeX Go Increase in Bar Length = (Weight per unit volume*(Length of Bar^2))/(2*Young's Modulus Bar)

Weight of bar for length x

LaTeX Go Weight = Weight per unit volume*Cross Sectional Area of Bar*Length of Bar

Strain in Element

LaTeX Go Strain = (Weight per unit volume*Length of Bar)/Young's Modulus Bar

Stress on element of rod

LaTeX Go Stress in Bar = Weight per unit volume*Length of Bar

Modulus of Elasticity given Total Elongation of Bar Formula

LaTeX Go

Modulus of Elasticity Of Bar = (Weight by Area*Length of Bar)/(2*Total Elongation)
E_bar = (ρ_A*L_bar)/(2*δL)

What is modulus of elasticity?

Modulus of elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it. The elastic modulus of an object is defined as the slope of its stress-strain curve in the elastic deformation region. A stiffer material will have a higher modulus of elasticity.

How to Calculate Modulus of Elasticity given Total Elongation of Bar?

Modulus of Elasticity given Total Elongation of Bar calculator uses Modulus of Elasticity Of Bar = (Weight by Area*Length of Bar)/(2*Total Elongation) to calculate the Modulus of Elasticity Of Bar, Modulus of Elasticity given Total Elongation of Bar formula is defined as a measure of a material's ability to deform elastically when a force is applied. It quantifies the relationship between stress and strain in a bar subjected to elongation due to its own weight. Modulus of Elasticity Of Bar is denoted by E_bar symbol.

How to calculate Modulus of Elasticity given Total Elongation of Bar using this online calculator? To use this online calculator for Modulus of Elasticity given Total Elongation of Bar, enter Weight by Area (ρ_A), Length of Bar (L_bar) & Total Elongation (δL) and hit the calculate button. Here is how the Modulus of Elasticity given Total Elongation of Bar calculation can be explained with given input values -> 8.6E-5 = (6000000*0.25666)/(2*0.07).

FAQ

What is Modulus of Elasticity given Total Elongation of Bar?

Modulus of Elasticity given Total Elongation of Bar formula is defined as a measure of a material's ability to deform elastically when a force is applied. It quantifies the relationship between stress and strain in a bar subjected to elongation due to its own weight and is represented as E_bar = (ρ_A*L_bar)/(2*δL) or Modulus of Elasticity Of Bar = (Weight by Area*Length of Bar)/(2*Total Elongation). Weight by Area is the ratio of weight of a body to its cross-sectional area, Length of Bar is defined as the total length of the Bar & Total Elongation of a bar is defined as the elongation due to its own weight.

How to calculate Modulus of Elasticity given Total Elongation of Bar?

Modulus of Elasticity given Total Elongation of Bar formula is defined as a measure of a material's ability to deform elastically when a force is applied. It quantifies the relationship between stress and strain in a bar subjected to elongation due to its own weight is calculated using Modulus of Elasticity Of Bar = (Weight by Area*Length of Bar)/(2*Total Elongation). To calculate Modulus of Elasticity given Total Elongation of Bar, you need Weight by Area (ρ_A), Length of Bar (L_bar) & Total Elongation (δL). With our tool, you need to enter the respective value for Weight by Area, Length of Bar & Total Elongation 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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