✖Initial Length is the original, unaltered length of a bar or material before any changes, such as thermal expansion or contraction, occur.ⓘ Initial Length [l₀]			+10% -10%
✖The Coefficient of Thermal Expansion is a material property that is indicative of the extent to which a material expands upon heating.ⓘ Coefficient of Thermal Expansion [α_T]			+10% -10%
✖Temperature Rise is the increment in temperature of a unit mass when the heat is applied.ⓘ Temperature Rise [ΔT_rise]			+10% -10%

✖The Increase in Bar Length refers to the elongation of a bar resulting from a change in temperature.ⓘ Extension of Rod if Rod is Free to Extend [ΔL_Bar]

⎘ Copy

👎

Formula

✖

Extension of Rod if Rod is Free to Extend

Formula

`"ΔL"_{"Bar"} = "l"_{"0"}*"α"_{"T"}*"ΔT"_{"rise"}`

Example

`"7.225mm"="5000mm"*"17E^-6°C⁻¹"*"85K"`

Calculator

LaTeX

Reset

👍

Download Stress and Strain Formula PDF PDF Image

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
ΔL_Bar = l₀*α_T*ΔT_rise
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

ΔL_Bar = l₀*α_T*ΔT_rise --> 5*1.7E-05*85

Evaluating ... ...

ΔL_Bar = 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 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Stress and Strain » Mechanical » Thermal Stress » Extension of Rod if Rod is Free to Extend

Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 2 Thermal Stress Calculators

Actual Expansion when Support Yields

Go Actual Expansion = Coefficient of Linear Expansion*Length of Bar*Change in Temperature-Yield Amount (Length)

Extension of Rod if Rod is Free to Extend

Go Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise

< 11 Thermal Stress Calculators

Actual Stress when Support Yields

Go Actual Stress with Support Yield = ((Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))*Modulus of Elasticity of Bar)/Length of Bar

Actual Strain when Support Yields

Go Actual Strain = (Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))/Length of Bar

Actual Expansion when Support Yields

Go Actual Expansion = Coefficient of Linear Expansion*Length of Bar*Change in Temperature-Yield Amount (Length)

Thermal Stress given Coefficient of Linear Expansion

Go Thermal Stress given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise*Young's Modulus Bar

Extension of Rod if Rod is Free to Extend

Go Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise

Thermal Strain given Coefficient of Linear Expansion

Go Thermal Strain given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise

Actual Stress given Support Yields for Value of Actual Strain

Go Actual Stress with Support Yield = Actual Strain*Modulus of Elasticity of Bar

Thermal Strain given Thermal Stress

Go Thermal Strain given Thermal Stress = Thermal Stress/Young's Modulus Bar

Thermal Stress given Thermal Strain

Go Thermal Stress given Thermal Strain = Thermal Strain*Young's Modulus Bar

Thermal Strain

Go Thermal Strain = Prevented Extension/Initial Length

Actual Strain given Support Yields for Value of Actual Expansion

Go Actual Strain = Actual Expansion/Length of Bar

Extension of Rod if Rod is Free to Extend Formula

Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise
ΔL_Bar = l₀*α_T*ΔT_rise

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 ΔL_Bar 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 (α_T) & Temperature Rise (ΔT_rise) 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 ΔL_Bar = l₀*α_T*ΔT_rise 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 (α_T) & Temperature Rise (ΔT_rise). 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.

Home

FREE PDFs

🔍 Search