Length of Bar given Total Elongation of Bar Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Bar = (Total Elongation*2*Modulus of Elasticity Of Bar)/Weight by Area
Lbar = (δL*2*Ebar)/ρA
This formula uses 4 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Total Elongation: 70 Millimeter --> 0.07 Meter (Check conversion here)
Modulus of Elasticity Of Bar: 11 Megapascal --> 11000000 Pascal (Check conversion here)
Weight by Area: 6 Megapascal --> 6000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lbar = (δL*2*Ebar)/ρA --> (0.07*2*11000000)/6000000
Evaluating ... ...
Lbar = 0.256666666666667
STEP 3: Convert Result to Output's Unit
0.256666666666667 Meter -->256.666666666667 Millimeter (Check conversion here)
FINAL ANSWER
256.666666666667 256.6667 Millimeter <-- Length of Bar
(Calculation completed in 00.020 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

Length of Bar given Total Elongation of Bar Formula

Length of Bar = (Total Elongation*2*Modulus of Elasticity Of Bar)/Weight by Area
Lbar = (δL*2*Ebar)/ρA

What is specific weight and specific gravity?

Specific Weight is defined as weight per unit volume. Specific Gravity (Relative Density) is a dimensionless unit defined as the ratio of the density of a substance to the density of water - at a specified temperature

How to Calculate Length of Bar given Total Elongation of Bar?

Length of Bar given Total Elongation of Bar calculator uses Length of Bar = (Total Elongation*2*Modulus of Elasticity Of Bar)/Weight by Area to calculate the Length of Bar, The Length of Bar given Total Elongation of Bar formula is defined as the equation used to determine if a bar using the values of modulus of elasticity, total elongation, and weight by area. Length of Bar is denoted by Lbar symbol.

How to calculate Length of Bar given Total Elongation of Bar using this online calculator? To use this online calculator for Length of Bar given Total Elongation of Bar, enter Total Elongation (δL), Modulus of Elasticity Of Bar (Ebar) & Weight by Area A) and hit the calculate button. Here is how the Length of Bar given Total Elongation of Bar calculation can be explained with given input values -> 256666.7 = (0.07*2*11000000)/6000000.

FAQ

What is Length of Bar given Total Elongation of Bar?
The Length of Bar given Total Elongation of Bar formula is defined as the equation used to determine if a bar using the values of modulus of elasticity, total elongation, and weight by area and is represented as Lbar = (δL*2*Ebar)/ρA or Length of Bar = (Total Elongation*2*Modulus of Elasticity Of Bar)/Weight by Area. Total Elongation of a bar is defined as the elongation due to its own weight, 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 is the ratio of weight of a body to its cross-sectional area.
How to calculate Length of Bar given Total Elongation of Bar?
The Length of Bar given Total Elongation of Bar formula is defined as the equation used to determine if a bar using the values of modulus of elasticity, total elongation, and weight by area is calculated using Length of Bar = (Total Elongation*2*Modulus of Elasticity Of Bar)/Weight by Area. To calculate Length of Bar given Total Elongation of Bar, you need Total Elongation (δL), Modulus of Elasticity Of Bar (Ebar) & Weight by Area A). With our tool, you need to enter the respective value for Total Elongation, Modulus of Elasticity Of Bar & Weight by Area 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 Length of Bar?
In this formula, Length of Bar uses Total Elongation, Modulus of Elasticity Of Bar & Weight by Area. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Length of Bar = sqrt((Total Elongation*2*Modulus of Elasticity Of Bar)/Weight per unit volume)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!