Stress due to Temperature Change Calculator

✖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_thermal]			+10% -10%
✖The Elastic Modulus is the ratio of Stress to Strain.ⓘ Elastic Modulus [e]			+10% -10%
✖The Change in Temperature is the difference between the initial and final temperature.ⓘ Change in Temperature [∆T]			+10% -10%

✖Stress due to Temperature Change is the stress developed in pipe due temporal variation in day and night .ⓘ Stress due to Temperature Change [σ]

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Formula

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Stress due to Temperature Change

Formula

`"σ" = "α"_{"thermal"}*"e"*"∆T"`

Example

`"1875Pa"="1.5°C⁻¹"*"25Pa"*"50K"`

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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 = α_thermal*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 = α_thermal*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 00.020 seconds)

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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!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 7 Thermal Expansion of Pipe Calculators

Coefficient of Thermal Expansion of Pipe Material given Stress due to Temperature Change

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

Go Elastic Modulus = Stress due to Temperature Change/(Coefficient of Thermal Expansion*Change in Temperature)

Temperature Change given Stress due to Temperature Change

Go Change in Temperature = Stress due to Temperature Change/(Coefficient of Thermal Expansion*Elastic Modulus)

Stress due to Temperature Change

Go Stress due to Temperature Change = Coefficient of Thermal Expansion*Elastic Modulus*Change in Temperature

Length of Expansion Joint given Movement that should be allowed

Go Length of Pipe = Change in Length/(Elastic Modulus*Change in Temperature)

Temperature Change given Movement that should be allowed

Go Change in Temperature = Change in Length/(Elastic Modulus*Length of Pipe)

Movement in Length of Pipe

Go Change in Length = Length of Pipe*Elastic Modulus*Change in Temperature

Stress due to Temperature Change Formula

Stress due to Temperature Change = Coefficient of Thermal Expansion*Elastic Modulus*Change in Temperature
σ = α_thermal*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 (α_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 = α_thermal*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 (α_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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