Total elongation of bar Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Elongation = (Weight by Area*Length of Bar)/(2*Modulus of Elasticity Of Bar)
δL = (ρA*Lbar)/(2*Ebar)
This formula uses 4 Variables
Variables Used
Total Elongation - (Measured in Meter) - Total Elongation of a bar is defined as the elongation due to its own weight.
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.
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.
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)
Modulus of Elasticity Of Bar: 11 Megapascal --> 11000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
δL = (ρA*Lbar)/(2*Ebar) --> (6000000*2)/(2*11000000)
Evaluating ... ...
δL = 0.545454545454545
STEP 3: Convert Result to Output's Unit
0.545454545454545 Meter -->545.454545454545 Millimeter (Check conversion here)
FINAL ANSWER
545.454545454545 545.4545 Millimeter <-- Total Elongation
(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

Total elongation of bar Formula

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

What is specific weight and density?

The specific weight, also known as the unit weight, is the weight per unit volume of a material. Whereas density is defined as the mass per unit volume.

How to Calculate Total elongation of bar?

Total elongation of bar calculator uses Total Elongation = (Weight by Area*Length of Bar)/(2*Modulus of Elasticity Of Bar) to calculate the Total Elongation, The total elongation of bar is defined as the increase in length of the bar due to its own weight. Total Elongation is denoted by δL symbol.

How to calculate Total elongation of bar using this online calculator? To use this online calculator for Total elongation of bar, enter Weight by Area A), Length of Bar (Lbar) & Modulus of Elasticity Of Bar (Ebar) and hit the calculate button. Here is how the Total elongation of bar calculation can be explained with given input values -> 545454.5 = (6000000*2)/(2*11000000).

FAQ

What is Total elongation of bar?
The total elongation of bar is defined as the increase in length of the bar due to its own weight and is represented as δL = (ρA*Lbar)/(2*Ebar) or Total Elongation = (Weight by Area*Length of Bar)/(2*Modulus of Elasticity Of Bar). 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 & Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.
How to calculate Total elongation of bar?
The total elongation of bar is defined as the increase in length of the bar due to its own weight is calculated using Total Elongation = (Weight by Area*Length of Bar)/(2*Modulus of Elasticity Of Bar). To calculate Total elongation of bar, you need Weight by Area A), Length of Bar (Lbar) & Modulus of Elasticity Of Bar (Ebar). With our tool, you need to enter the respective value for Weight by Area, Length of Bar & Modulus of Elasticity Of Bar 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 Total Elongation?
In this formula, Total Elongation uses Weight by Area, Length of Bar & Modulus of Elasticity Of Bar. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Total Elongation = (Weight per unit volume*(Length of Bar^2))/(2*Modulus of Elasticity Of Bar)
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