Thermal Strain given Coefficient of Linear Expansion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thermal Strain = Coefficient of Thermal Expansion*Temperature Rise
ε = αT*ΔTrise
This formula uses 3 Variables
Variables Used
Thermal Strain - The Thermal Strain caused due to thermal stress.
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
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
ε = αT*ΔTrise --> 1.7E-05*85
Evaluating ... ...
ε = 0.001445
STEP 3: Convert Result to Output's Unit
0.001445 --> No Conversion Required
FINAL ANSWER
0.001445 <-- Thermal Strain
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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11 Thermal Stress Calculators

Actual Stress when Support Yields
Go Actual Stress = ((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)
Extension of Rod if Rod is Free to Extend
Go Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise
Thermal Stress given Coefficient of Linear Expansion
Go Thermal Stress = Coefficient of Thermal Expansion*Temperature Rise*Young's Modulus Bar
Thermal Strain given Coefficient of Linear Expansion
Go Thermal Strain = Coefficient of Thermal Expansion*Temperature Rise
Actual Stress given Support Yields for Value of Actual Strain
Go Actual Stress = Actual Strain*Modulus of Elasticity of Bar
Thermal Strain given Thermal Stress
Go Thermal Strain = Thermal Stress/Young's Modulus Bar
Thermal Stress given Thermal Strain
Go Thermal Stress = 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

5 Thermal Stress and Strain Calculators

Thermal Stress given Coefficient of Linear Expansion
Go Thermal Stress = Coefficient of Thermal Expansion*Temperature Rise*Young's Modulus Bar
Thermal Strain given Coefficient of Linear Expansion
Go Thermal Strain = Coefficient of Thermal Expansion*Temperature Rise
Thermal Strain given Thermal Stress
Go Thermal Strain = Thermal Stress/Young's Modulus Bar
Thermal Stress given Thermal Strain
Go Thermal Stress = Thermal Strain*Young's Modulus Bar
Thermal Strain
Go Thermal Strain = Prevented Extension/Initial Length

Thermal Strain given Coefficient of Linear Expansion Formula

Thermal Strain = Coefficient of Thermal Expansion*Temperature Rise
ε = αT*ΔTrise

What is Thermal Strain?

The Thermal Strain is the strain induced due to temperature. It is also called temperature strain. It is the product of the coefficient of thermal expansion and rise in temperature.

What is Coefficient of Linear Expansion?

The Coefficient of Linear Expansion may be defined as the increase in length per unit length when the temperature is raised by 1°C.

How to Calculate Thermal Strain given Coefficient of Linear Expansion?

Thermal Strain given Coefficient of Linear Expansion calculator uses Thermal Strain = Coefficient of Thermal Expansion*Temperature Rise to calculate the Thermal Strain, The Thermal Strain given Coefficient of Linear Expansion can be found by multiplying the coefficient of thermal expansion with rise in temperature value. Thermal Strain is denoted by ε symbol.

How to calculate Thermal Strain given Coefficient of Linear Expansion using this online calculator? To use this online calculator for Thermal Strain given Coefficient of Linear Expansion, enter Coefficient of Thermal Expansion T) & Temperature Rise (ΔTrise) and hit the calculate button. Here is how the Thermal Strain given Coefficient of Linear Expansion calculation can be explained with given input values -> 0.001445 = 1.7E-05*85.

FAQ

What is Thermal Strain given Coefficient of Linear Expansion?
The Thermal Strain given Coefficient of Linear Expansion can be found by multiplying the coefficient of thermal expansion with rise in temperature value and is represented as ε = αT*ΔTrise or Thermal Strain = Coefficient of Thermal Expansion*Temperature Rise. 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 Thermal Strain given Coefficient of Linear Expansion?
The Thermal Strain given Coefficient of Linear Expansion can be found by multiplying the coefficient of thermal expansion with rise in temperature value is calculated using Thermal Strain = Coefficient of Thermal Expansion*Temperature Rise. To calculate Thermal Strain given Coefficient of Linear Expansion, you need Coefficient of Thermal Expansion T) & Temperature Rise (ΔTrise). With our tool, you need to enter the respective value for 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.
How many ways are there to calculate Thermal Strain?
In this formula, Thermal Strain uses Coefficient of Thermal Expansion & Temperature Rise. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Thermal Strain = Prevented Extension/Initial Length
  • Thermal Strain = Thermal Stress/Young's Modulus Bar
  • Thermal Strain = Prevented Extension/Initial Length
  • Thermal Strain = Thermal Stress/Young's Modulus Bar
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