Bar's total elongation if weight given per unit volume of bar Calculator

✖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 [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.ⓘ Bar's total elongation if weight given per unit volume of bar [δL]

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Bar's total elongation if weight given per unit volume of bar Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Elongation = (Weight per unit volume*(Length of Bar^2))/(2*Modulus of Elasticity Of Bar)
δL = (w*(L_bar^2))/(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 per unit volume - (Measured in Newton per Cubic Meter) - Weight per unit volume is the ratio of weight of a body to its volume.
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 per unit volume: 10 Newton per Cubic Meter --> 10 Newton per Cubic Meter No Conversion Required
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 = (w*(L_bar^2))/(2*E_bar) --> (10*(0.25666^2))/(2*11000000)

Evaluating ... ...

δL = 2.99428889090909E-08

STEP 3: Convert Result to Output's Unit

2.99428889090909E-08 Meter -->2.99428889090909E-05 Millimeter (Check conversion here)

FINAL ANSWER

2.99428889090909E-05 ≈ 3E-5 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 » Bar's total elongation if weight given per unit volume 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

Bar's total elongation if weight given per unit volume of bar Formula

LaTeX Go

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

What causes stress in a body?

Whenever an external force is acting on a body it causes deformation of the body. But the intermolecular forces try to resist this deformation, this internal is termed as stress. Also when a body is hung up with one fixed end, the weight of the body creates stress within the body.

How to Calculate Bar's total elongation if weight given per unit volume of bar?

Bar's total elongation if weight given per unit volume of bar calculator uses Total Elongation = (Weight per unit volume*(Length of Bar^2))/(2*Modulus of Elasticity Of Bar) to calculate the Total Elongation, Bar's total elongation if weight given per unit volume of bar formula is defined as a measure of the elongation experienced by a bar due to its own weight. This concept is crucial in understanding how materials deform under their own gravitational forces. Total Elongation is denoted by δL symbol.

How to calculate Bar's total elongation if weight given per unit volume of bar using this online calculator? To use this online calculator for Bar's total elongation if weight given per unit volume of bar, enter Weight per unit volume (w), Length of Bar (L_bar) & Modulus of Elasticity Of Bar (E_bar) and hit the calculate button. Here is how the Bar's total elongation if weight given per unit volume of bar calculation can be explained with given input values -> 1.818182 = (10*(0.25666^2))/(2*11000000).

FAQ

What is Bar's total elongation if weight given per unit volume of bar?

Bar's total elongation if weight given per unit volume of bar formula is defined as a measure of the elongation experienced by a bar due to its own weight. This concept is crucial in understanding how materials deform under their own gravitational forces and is represented as δL = (w*(L_bar^2))/(2*E_bar) or Total Elongation = (Weight per unit volume*(Length of Bar^2))/(2*Modulus of Elasticity Of Bar). Weight per unit volume is the ratio of weight of a body to its volume, 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 Bar's total elongation if weight given per unit volume of bar?

Bar's total elongation if weight given per unit volume of bar formula is defined as a measure of the elongation experienced by a bar due to its own weight. This concept is crucial in understanding how materials deform under their own gravitational forces is calculated using Total Elongation = (Weight per unit volume*(Length of Bar^2))/(2*Modulus of Elasticity Of Bar). To calculate Bar's total elongation if weight given per unit volume of bar, you need Weight per unit volume (w), Length of Bar (L_bar) & Modulus of Elasticity Of Bar (E_bar). With our tool, you need to enter the respective value for Weight per unit volume, 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 per unit volume, 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 by Area*Length of Bar)/(2*Modulus of Elasticity Of Bar)

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