Weight of Bar given Total Elongation of Bar Calculator

✖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 Of Bar [E_bar]			+10% -10%
✖Cross Sectional Area of Bar is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Area of Bar [A]			+10% -10%
✖Length Of Bar is defined as the total length of the Bar.ⓘ Length of Bar [L_bar]			+10% -10%

✖Load is the weight of body lifted by screw jack.ⓘ Weight of Bar given Total Elongation of Bar [W_load]

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Formula

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Weight of Bar given Total Elongation of Bar

Formula

`"W"_{"load"} = ("δL"*2*"E"_{"bar"}*"A")/"L"_{"bar"}`

Example

`"49280N"=("70mm"*2*"11MPa"*"64000mm²")/"2000mm"`

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Weight of Bar given Total Elongation of Bar Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load = (Total Elongation*2*Modulus of Elasticity Of Bar*Cross Sectional Area of Bar)/Length of Bar
W_load = (δL*2*E_bar*A)/L_bar
This formula uses 5 Variables

Variables Used

Load - (Measured in Newton) - Load is the weight of body lifted by screw jack.
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.
Cross Sectional Area of Bar - (Measured in Square Meter) - Cross Sectional Area of Bar is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
Length of Bar - (Measured in Meter) - Length Of Bar is defined as the total length of the Bar.

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)
Cross Sectional Area of Bar: 64000 Square Millimeter --> 0.064 Square Meter (Check conversion here)
Length of Bar: 2000 Millimeter --> 2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_load = (δL*2*E_bar*A)/L_bar --> (0.07*2*11000000*0.064)/2

Evaluating ... ...

W_load = 49280

STEP 3: Convert Result to Output's Unit

49280 Newton --> No Conversion Required

FINAL ANSWER

49280 Newton <-- Load

(Calculation completed in 00.020 seconds)

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< 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

Weight of Bar given Total Elongation of Bar Formula

Load = (Total Elongation*2*Modulus of Elasticity Of Bar*Cross Sectional Area of Bar)/Length of Bar
W_load = (δL*2*E_bar*A)/L_bar

How is weight defined?

It is the total amount of force exerted by the gravitational field upon a body. It can also be defined as the amount of heaviness of a body.

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

Weight of Bar given Total Elongation of Bar calculator uses Load = (Total Elongation*2*Modulus of Elasticity Of Bar*Cross Sectional Area of Bar)/Length of Bar to calculate the Load, The Weight of Bar given Total Elongation of Bar formula is defined as the equation used to find out the weight of a bar with the help of modulus of elasticity, area of cross-section, and length values. Load is denoted by W_load symbol.

How to calculate Weight of Bar given Total Elongation of Bar using this online calculator? To use this online calculator for Weight of Bar given Total Elongation of Bar, enter Total Elongation (δL), Modulus of Elasticity Of Bar (E_bar), Cross Sectional Area of Bar (A) & Length of Bar (L_bar) and hit the calculate button. Here is how the Weight of Bar given Total Elongation of Bar calculation can be explained with given input values -> 49280 = (0.07*2*11000000*0.064)/2.

FAQ

What is Weight of Bar given Total Elongation of Bar?

The Weight of Bar given Total Elongation of Bar formula is defined as the equation used to find out the weight of a bar with the help of modulus of elasticity, area of cross-section, and length values and is represented as W_load = (δL*2*E_bar*A)/L_bar or Load = (Total Elongation*2*Modulus of Elasticity Of Bar*Cross Sectional Area of Bar)/Length of Bar. 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, Cross Sectional Area of Bar is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point & Length Of Bar is defined as the total length of the Bar.

How to calculate Weight of Bar given Total Elongation of Bar?

The Weight of Bar given Total Elongation of Bar formula is defined as the equation used to find out the weight of a bar with the help of modulus of elasticity, area of cross-section, and length values is calculated using Load = (Total Elongation*2*Modulus of Elasticity Of Bar*Cross Sectional Area of Bar)/Length of Bar. To calculate Weight of Bar given Total Elongation of Bar, you need Total Elongation (δL), Modulus of Elasticity Of Bar (E_bar), Cross Sectional Area of Bar (A) & Length of Bar (L_bar). With our tool, you need to enter the respective value for Total Elongation, Modulus of Elasticity Of Bar, Cross Sectional Area of Bar & Length of Bar 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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