Extension of Rod if Rod is Free to Extend Solution

STEP 0: Pre-Calculation Summary
Formula Used
Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise
ΔLBar = l0*αT*ΔTrise
This formula uses 4 Variables
Variables Used
Increase in Bar Length - (Measured in Meter) - The Increase in Bar Length refers to the elongation of a bar resulting from a change in temperature.
Initial Length - (Measured in Meter) - Initial Length is the original, unaltered length of a bar or material before any changes, such as thermal expansion or contraction, occur.
Coefficient of Thermal Expansion - (Measured in Per Kelvin) - The Coefficient of Thermal Expansion is a material property that is indicative of the extent to which a material expands upon heating.
Temperature Rise - (Measured in Kelvin) - Temperature Rise is the increment in temperature of a unit mass when the heat is applied.
STEP 1: Convert Input(s) to Base Unit
Initial Length: 5000 Millimeter --> 5 Meter (Check conversion ​here)
Coefficient of Thermal Expansion: 1.7E-05 Per Degree Celsius --> 1.7E-05 Per Kelvin (Check conversion ​here)
Temperature Rise: 85 Kelvin --> 85 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔLBar = l0T*ΔTrise --> 5*1.7E-05*85
Evaluating ... ...
ΔLBar = 0.007225
STEP 3: Convert Result to Output's Unit
0.007225 Meter -->7.225 Millimeter (Check conversion ​here)
FINAL ANSWER
7.225 Millimeter <-- Increase in Bar Length
(Calculation completed in 00.020 seconds)

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National Institute of Technology (NIT), Tiruchirapalli
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​ LaTeX ​ Go Thermal Stress given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise*Young's Modulus Bar
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​ LaTeX ​ Go Thermal Strain given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise
Thermal Strain given Thermal Stress
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Thermal Strain
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Extension of Rod if Rod is Free to Extend Formula

​LaTeX ​Go
Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise
ΔLBar = l0*αT*ΔTrise

What is Coefficient of Thermal Expansion?

When a body is heated, it tends to expand. The increase in length per unit original length and per degree rise in temperature is called the coefficient of thermal expansion.

How to Calculate Extension of Rod if Rod is Free to Extend?

Extension of Rod if Rod is Free to Extend calculator uses Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise to calculate the Increase in Bar Length, The Extension of Rod if Rod is Free to Extend formula is defined as the measure of elongation or increase in length of a rod when it is subjected to an axial tensile force and is free to extend. Increase in Bar Length is denoted by ΔLBar symbol.

How to calculate Extension of Rod if Rod is Free to Extend using this online calculator? To use this online calculator for Extension of Rod if Rod is Free to Extend, enter Initial Length (l0), Coefficient of Thermal Expansion T) & Temperature Rise (ΔTrise) and hit the calculate button. Here is how the Extension of Rod if Rod is Free to Extend calculation can be explained with given input values -> 7225 = 5*1.7E-05*85.

FAQ

What is Extension of Rod if Rod is Free to Extend?
The Extension of Rod if Rod is Free to Extend formula is defined as the measure of elongation or increase in length of a rod when it is subjected to an axial tensile force and is free to extend and is represented as ΔLBar = l0T*ΔTrise or Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise. Initial Length is the original, unaltered length of a bar or material before any changes, such as thermal expansion or contraction, occur, The Coefficient of Thermal Expansion is a material property that is indicative of the extent to which a material expands upon heating & Temperature Rise is the increment in temperature of a unit mass when the heat is applied.
How to calculate Extension of Rod if Rod is Free to Extend?
The Extension of Rod if Rod is Free to Extend formula is defined as the measure of elongation or increase in length of a rod when it is subjected to an axial tensile force and is free to extend is calculated using Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise. To calculate Extension of Rod if Rod is Free to Extend, you need Initial Length (l0), Coefficient of Thermal Expansion T) & Temperature Rise (ΔTrise). With our tool, you need to enter the respective value for Initial Length, Coefficient of Thermal Expansion & Temperature Rise 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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