Total elongation of bar Calculator

✖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 [L_bar]			+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%

✖Total Elongation of a bar is defined as the elongation due to its own weight.ⓘ Total elongation of bar [δL]

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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 = (ρ_A*L_bar)/(2*E_bar)
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: 256.66 Millimeter --> 0.25666 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 = (ρ_A*L_bar)/(2*E_bar) --> (6000000*0.25666)/(2*11000000)

Evaluating ... ...

δL = 0.0699981818181818

STEP 3: Convert Result to Output's Unit

0.0699981818181818 Meter -->69.9981818181818 Millimeter (Check conversion here)

FINAL ANSWER

69.9981818181818 ≈ 69.99818 Millimeter <-- Total Elongation

(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 » Total elongation 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

Total elongation of bar Formula

LaTeX Go

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

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, Total elongation of bar formula is defined as a measure of the increase in length of a bar due to its own weight. This elongation occurs under the influence of gravitational forces and material properties, reflecting how materials deform under load. 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 (ρ_A), Length of Bar (L_bar) & Modulus of Elasticity Of Bar (E_bar) and hit the calculate button. Here is how the Total elongation of bar calculation can be explained with given input values -> 545454.5 = (6000000*0.25666)/(2*11000000).

FAQ

What is Total elongation of bar?

Total elongation of bar formula is defined as a measure of the increase in length of a bar due to its own weight. This elongation occurs under the influence of gravitational forces and material properties, reflecting how materials deform under load and is represented as δL = (ρ_A*L_bar)/(2*E_bar) 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?

Total elongation of bar formula is defined as a measure of the increase in length of a bar due to its own weight. This elongation occurs under the influence of gravitational forces and material properties, reflecting how materials deform under load 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 (ρ_A), Length of Bar (L_bar) & Modulus of Elasticity Of Bar (E_bar). 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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