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)
Ebar = (ρA*Lbar)/(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: 2000 Millimeter --> 2 Meter (Check conversion here)
Total Elongation: 70 Millimeter --> 0.07 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ebar = (ρA*Lbar)/(2*δL) --> (6000000*2)/(2*0.07)
Evaluating ... ...
Ebar = 85714285.7142857
STEP 3: Convert Result to Output's Unit
85714285.7142857 Pascal -->85.7142857142857 Megapascal (Check conversion here)
FINAL ANSWER
85.7142857142857 85.71429 Megapascal <-- Modulus of Elasticity Of Bar
(Calculation completed in 00.004 seconds)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has created this Calculator and 200+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

10+ Elongation of Bar due its Own Weight Calculators

Weight of Bar given Total Elongation of Bar
Go Load = (Total Elongation*2*Modulus of Elasticity Of Bar*Cross Sectional Area of Bar)/Length of Bar
Length of Bar using Total Elongation and Weight per unit volume of bar
Go Length of Bar = sqrt((Total Elongation*2*Modulus of Elasticity Of Bar)/Weight per unit volume)
Bar's total elongation if weight given per unit volume of bar
Go Total Elongation = (Weight per unit volume*(Length of Bar^2))/(2*Modulus of Elasticity Of Bar)
Elongation of element
Go Increase in Bar Length = (Weight per unit volume*(Length of Bar^2))/(2*Young's Modulus Bar)
Modulus of Elasticity given Total Elongation of Bar
Go Modulus of Elasticity Of Bar = (Weight by Area*Length of Bar)/(2*Total Elongation)
Total elongation of bar
Go Total Elongation = (Weight by Area*Length of Bar)/(2*Modulus of Elasticity Of Bar)
Length of Bar given Total Elongation of Bar
Go Length of Bar = (Total Elongation*2*Modulus of Elasticity Of Bar)/Weight by Area
Weight of bar for length x
Go Weight = Weight per unit volume*Cross Sectional Area of Bar*Length of Bar
Strain in Element
Go Strain = (Weight per unit volume*Length of Bar)/Young's Modulus Bar
Stress on element of rod
Go Stress in Bar = Weight per unit volume*Length of Bar

Modulus of Elasticity given Total Elongation of Bar Formula

Modulus of Elasticity Of Bar = (Weight by Area*Length of Bar)/(2*Total Elongation)
Ebar = (ρA*Lbar)/(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, The Modulus of Elasticity given Total Elongation of Bar formula is defined as the equation used to determine Young's modulus or modulus of elasticity using the known values of weight by area, length of the bar, total elongation. Modulus of Elasticity Of Bar is denoted by Ebar 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 A), Length of Bar (Lbar) & 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*2)/(2*0.07).

FAQ

What is Modulus of Elasticity given Total Elongation of Bar?
The Modulus of Elasticity given Total Elongation of Bar formula is defined as the equation used to determine Young's modulus or modulus of elasticity using the known values of weight by area, length of the bar, total elongation and is represented as Ebar = (ρA*Lbar)/(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?
The Modulus of Elasticity given Total Elongation of Bar formula is defined as the equation used to determine Young's modulus or modulus of elasticity using the known values of weight by area, length of the bar, total elongation 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 A), Length of Bar (Lbar) & 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!