Length of Bar using Total Elongation and Weight per unit volume 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%
✖Weight per unit volume is the ratio of weight of a body to its volume.ⓘ Weight per unit volume [w]			+10% -10%

✖Length Of Bar is defined as the total length of the Bar.ⓘ Length of Bar using Total Elongation and Weight per unit volume of bar [L_bar]

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Length of Bar using Total Elongation and Weight per unit volume of bar Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Bar = sqrt((Total Elongation*2*Modulus of Elasticity Of Bar)/Weight per unit volume)
L_bar = sqrt((δL*2*E_bar)/w)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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 per unit volume - (Measured in Newton per Cubic Meter) - Weight per unit volume is the ratio of weight of a body to its volume.

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 per unit volume: 10 Newton per Cubic Meter --> 10 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_bar = sqrt((δL*2*E_bar)/w) --> sqrt((0.07*2*11000000)/10)

Evaluating ... ...

L_bar = 392.428337406972

STEP 3: Convert Result to Output's Unit

392.428337406972 Meter -->392428.337406972 Millimeter (Check conversion here)

FINAL ANSWER

392428.337406972 ≈ 392428.3 Millimeter <-- Length of Bar

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Analysis of Bar » Mechanical » Elongation of Bar due its Own Weight » Length of Bar using Total Elongation and Weight per unit volume of bar

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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

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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

Length of Bar using Total Elongation and Weight per unit volume of bar Formula

LaTeX Go

Length of Bar = sqrt((Total Elongation*2*Modulus of Elasticity Of Bar)/Weight per unit volume)
L_bar = sqrt((δL*2*E_bar)/w)

What is total elongation?

Total elongation in this case is the increase in length of the bar due to its own weight. It depends on the material's weight density, modulus of elasticity, and actual length of the body.

What is specific weight?

Specific weight is the ratio of the weight of a body to its unit volume. The S.I unit for specific weight is N/m3 and the imperial unit is lb/ft3.

How to Calculate Length of Bar using Total Elongation and Weight per unit volume of bar?

Length of Bar using Total Elongation and Weight per unit volume of bar calculator uses Length of Bar = sqrt((Total Elongation*2*Modulus of Elasticity Of Bar)/Weight per unit volume) to calculate the Length of Bar, Length of Bar using Total Elongation and Weight per unit volume of bar formula is defined as the actual length of the bar that can be obtained using variables such as total elongation, modulus of elasticity, and specific weight. Length of Bar is denoted by L_bar symbol.

How to calculate Length of Bar using Total Elongation and Weight per unit volume of bar using this online calculator? To use this online calculator for Length of Bar using Total Elongation and Weight per unit volume of bar, enter Total Elongation (δL), Modulus of Elasticity Of Bar (E_bar) & Weight per unit volume (w) and hit the calculate button. Here is how the Length of Bar using Total Elongation and Weight per unit volume of bar calculation can be explained with given input values -> 3.9E+8 = sqrt((0.07*2*11000000)/10).

FAQ

What is Length of Bar using Total Elongation and Weight per unit volume of bar?

Length of Bar using Total Elongation and Weight per unit volume of bar formula is defined as the actual length of the bar that can be obtained using variables such as total elongation, modulus of elasticity, and specific weight and is represented as L_bar = sqrt((δL*2*E_bar)/w) or Length of Bar = sqrt((Total Elongation*2*Modulus of Elasticity Of Bar)/Weight per unit volume). 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 per unit volume is the ratio of weight of a body to its volume.

How to calculate Length of Bar using Total Elongation and Weight per unit volume of bar?

Length of Bar using Total Elongation and Weight per unit volume of bar formula is defined as the actual length of the bar that can be obtained using variables such as total elongation, modulus of elasticity, and specific weight is calculated using Length of Bar = sqrt((Total Elongation*2*Modulus of Elasticity Of Bar)/Weight per unit volume). To calculate Length of Bar using Total Elongation and Weight per unit volume of bar, you need Total Elongation (δL), Modulus of Elasticity Of Bar (E_bar) & Weight per unit volume (w). With our tool, you need to enter the respective value for Total Elongation, Modulus of Elasticity Of Bar & Weight per unit volume 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 per unit volume. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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