Stress due to Temperature Change Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stress due to Temperature Change = Coefficient of Thermal Expansion*Elastic Modulus*Change in Temperature
σ = αthermal*e*∆T
This formula uses 4 Variables
Variables Used
Stress due to Temperature Change - (Measured in Pascal) - Stress due to Temperature Change is the stress developed in pipe due temporal variation in day and night .
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.
Elastic Modulus - (Measured in Pascal) - The Elastic Modulus is the ratio of Stress to Strain.
Change in Temperature - (Measured in Kelvin) - The Change in Temperature is the difference between the initial and final temperature.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Thermal Expansion: 1.5 Per Degree Celsius --> 1.5 Per Kelvin (Check conversion ​here)
Elastic Modulus: 25 Pascal --> 25 Pascal No Conversion Required
Change in Temperature: 50 Kelvin --> 50 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σ = αthermal*e*∆T --> 1.5*25*50
Evaluating ... ...
σ = 1875
STEP 3: Convert Result to Output's Unit
1875 Pascal --> No Conversion Required
FINAL ANSWER
1875 Pascal <-- Stress due to Temperature Change
(Calculation completed in 00.004 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
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Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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Thermal Expansion of Pipe Calculators

Coefficient of Thermal Expansion of Pipe Material given Stress due to Temperature Change
​ LaTeX ​ Go Coefficient of Thermal Expansion = Stress due to Temperature Change/(Elastic Modulus*Change in Temperature)
Modulus of Elasticity of Pipe Material given Stress due to Temperature Change
​ LaTeX ​ Go Elastic Modulus = Stress due to Temperature Change/(Coefficient of Thermal Expansion*Change in Temperature)
Temperature Change given Stress due to Temperature Change
​ LaTeX ​ Go Change in Temperature = Stress due to Temperature Change/(Coefficient of Thermal Expansion*Elastic Modulus)
Stress due to Temperature Change
​ LaTeX ​ Go Stress due to Temperature Change = Coefficient of Thermal Expansion*Elastic Modulus*Change in Temperature

Stress due to Temperature Change Formula

​LaTeX ​Go
Stress due to Temperature Change = Coefficient of Thermal Expansion*Elastic Modulus*Change in Temperature
σ = αthermal*e*∆T

What is Thermal Stress?

Thermal stress is mechanical stress created by any change in temperature of a material. These stresses can lead to fracturing or plastic deformation depending on the other variables of heating, which include material types and constraints.

What is Expansion Joint in Piping?

Expansion joints are used in piping systems to absorb thermal expansion or terminal movement where the use of expansion loops is undesirable or impractical. Expansion joints are available in many different shapes and materials.

How to Calculate Stress due to Temperature Change?

Stress due to Temperature Change calculator uses Stress due to Temperature Change = Coefficient of Thermal Expansion*Elastic Modulus*Change in Temperature to calculate the Stress due to Temperature Change, The Stress due to Temperature Change formula is defined as stress developed in pipe due temporal variation in day and night . Stress due to Temperature Change is denoted by σ symbol.

How to calculate Stress due to Temperature Change using this online calculator? To use this online calculator for Stress due to Temperature Change, enter Coefficient of Thermal Expansion thermal), Elastic Modulus (e) & Change in Temperature (∆T) and hit the calculate button. Here is how the Stress due to Temperature Change calculation can be explained with given input values -> 1875 = 1.5*25*50.

FAQ

What is Stress due to Temperature Change?
The Stress due to Temperature Change formula is defined as stress developed in pipe due temporal variation in day and night and is represented as σ = αthermal*e*∆T or Stress due to Temperature Change = Coefficient of Thermal Expansion*Elastic Modulus*Change in Temperature. The Coefficient of Thermal Expansion is a material property that is indicative of the extent to which a material expands upon heating, The Elastic Modulus is the ratio of Stress to Strain & The Change in Temperature is the difference between the initial and final temperature.
How to calculate Stress due to Temperature Change?
The Stress due to Temperature Change formula is defined as stress developed in pipe due temporal variation in day and night is calculated using Stress due to Temperature Change = Coefficient of Thermal Expansion*Elastic Modulus*Change in Temperature. To calculate Stress due to Temperature Change, you need Coefficient of Thermal Expansion thermal), Elastic Modulus (e) & Change in Temperature (∆T). With our tool, you need to enter the respective value for Coefficient of Thermal Expansion, Elastic Modulus & Change in Temperature 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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