Length 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%
✖Weight by Area is the ratio of weight of a body to its cross-sectional area.ⓘ Weight by Area [ρ_A]			+10% -10%

✖Length Of Bar is defined as the total length of the Bar.ⓘ Length of Bar given Total Elongation of Bar [L_bar]

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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
L_bar = (δL*2*E_bar)/ρ_A
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

L_bar = (δL*2*E_bar)/ρ_A --> (0.07*2*11000000)/6000000

Evaluating ... ...

L_bar = 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)

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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 given Total Elongation of Bar

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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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 given Total Elongation of Bar Formula

LaTeX Go

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

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 L_bar 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 (E_bar) & Weight by Area (ρ_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 L_bar = (δL*2*E_bar)/ρ_A 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 (E_bar) & Weight by Area (ρ_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)

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