Temperature Change given Stress due to Temperature Change Calculator

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

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Formula

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Temperature Change given Stress due to Temperature Change

Formula

`"∆T" = "σ"/("α"_{"thermal"}*"e")`

Example

`"32K"="1200Pa"/("1.5°C⁻¹"*"25Pa")`

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Temperature Change given Stress due to Temperature Change Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Temperature = Stress due to Temperature Change/(Coefficient of Thermal Expansion*Elastic Modulus)
∆T = σ/(α_thermal*e)
This formula uses 4 Variables

Variables Used

Change in Temperature - (Measured in Kelvin) - The Change in Temperature is the difference between the initial and final temperature.
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.

STEP 1: Convert Input(s) to Base Unit

Stress due to Temperature Change: 1200 Pascal --> 1200 Pascal No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∆T = σ/(α_thermal*e) --> 1200/(1.5*25)

Evaluating ... ...

∆T = 32

STEP 3: Convert Result to Output's Unit

32 Kelvin --> No Conversion Required

FINAL ANSWER

32 Kelvin <-- Change in Temperature

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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

Temperature Change given Stress due to Temperature Change Formula

Change in Temperature = Stress due to Temperature Change/(Coefficient of Thermal Expansion*Elastic Modulus)
∆T = σ/(α_thermal*e)

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 Temperature Change given Stress due to Temperature Change?

Temperature Change given Stress due to Temperature Change calculator uses Change in Temperature = Stress due to Temperature Change/(Coefficient of Thermal Expansion*Elastic Modulus) to calculate the Change in Temperature, Temperature Change given Stress due to Temperature Change is defined as the temperature change resulting from the application of stress or strain caused by a change in temperature. Change in Temperature is denoted by ∆T symbol.

How to calculate Temperature Change given Stress due to Temperature Change using this online calculator? To use this online calculator for Temperature Change given Stress due to Temperature Change, enter Stress due to Temperature Change (σ), Coefficient of Thermal Expansion (α_thermal) & Elastic Modulus (e) and hit the calculate button. Here is how the Temperature Change given Stress due to Temperature Change calculation can be explained with given input values -> 32 = 1200/(1.5*25).

FAQ

What is Temperature Change given Stress due to Temperature Change?

Temperature Change given Stress due to Temperature Change is defined as the temperature change resulting from the application of stress or strain caused by a change in temperature and is represented as ∆T = σ/(α_thermal*e) or Change in Temperature = Stress due to Temperature Change/(Coefficient of Thermal Expansion*Elastic Modulus). Stress due to Temperature Change is the stress developed in pipe due temporal variation in day and night , 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.

How to calculate Temperature Change given Stress due to Temperature Change?

Temperature Change given Stress due to Temperature Change is defined as the temperature change resulting from the application of stress or strain caused by a change in temperature is calculated using Change in Temperature = Stress due to Temperature Change/(Coefficient of Thermal Expansion*Elastic Modulus). To calculate Temperature Change given Stress due to Temperature Change, you need Stress due to Temperature Change (σ), Coefficient of Thermal Expansion (α_thermal) & Elastic Modulus (e). With our tool, you need to enter the respective value for Stress due to Temperature Change, Coefficient of Thermal Expansion & Elastic Modulus 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 Change in Temperature?

In this formula, Change in Temperature uses Stress due to Temperature Change, Coefficient of Thermal Expansion & Elastic Modulus. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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