Coefficient of Thermal Expansion of Pipe Material 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 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%

✖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 of Pipe Material given Stress due to Temperature Change [α_thermal]

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

Formula

`"α"_{"thermal"} = "σ"/("e"*"∆T")`

Example

`"0.96°C⁻¹"="1200Pa"/("25Pa"*"50K")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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 .
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

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

α_thermal = σ/(e*∆T) --> 1200/(25*50)

Evaluating ... ...

α_thermal = 0.96

STEP 3: Convert Result to Output's Unit

0.96 Per Kelvin -->0.96 Per Degree Celsius (Check conversion here)

FINAL ANSWER

0.96 Per Degree Celsius <-- Coefficient of Thermal Expansion

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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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

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

Coefficient of Thermal Expansion = Stress due to Temperature Change/(Elastic Modulus*Change in Temperature)
α_thermal = σ/(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 Coefficient of Thermal Expansion of Pipe Material given Stress due to Temperature Change?

Coefficient of Thermal Expansion of Pipe Material given Stress due to Temperature Change calculator uses Coefficient of Thermal Expansion = Stress due to Temperature Change/(Elastic Modulus*Change in Temperature) to calculate the Coefficient of Thermal Expansion, The Coefficient of Thermal Expansion of Pipe Material given Stress due to Temperature Change is defined as a measure of how much the material expands or contracts in response to changes in temperature-induced stress. Coefficient of Thermal Expansion is denoted by α_thermal symbol.

How to calculate Coefficient of Thermal Expansion of Pipe Material given Stress due to Temperature Change using this online calculator? To use this online calculator for Coefficient of Thermal Expansion of Pipe Material given Stress due to Temperature Change, enter Stress due to Temperature Change (σ), Elastic Modulus (e) & Change in Temperature (∆T) and hit the calculate button. Here is how the Coefficient of Thermal Expansion of Pipe Material given Stress due to Temperature Change calculation can be explained with given input values -> 0.96 = 1200/(25*50).

FAQ

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

The Coefficient of Thermal Expansion of Pipe Material given Stress due to Temperature Change is defined as a measure of how much the material expands or contracts in response to changes in temperature-induced stress and is represented as α_thermal = σ/(e*∆T) or Coefficient of Thermal Expansion = Stress due to Temperature Change/(Elastic Modulus*Change in Temperature). Stress due to Temperature Change is the stress developed in pipe due temporal variation in day and night , 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 Coefficient of Thermal Expansion of Pipe Material given Stress due to Temperature Change?

The Coefficient of Thermal Expansion of Pipe Material given Stress due to Temperature Change is defined as a measure of how much the material expands or contracts in response to changes in temperature-induced stress is calculated using Coefficient of Thermal Expansion = Stress due to Temperature Change/(Elastic Modulus*Change in Temperature). To calculate Coefficient of Thermal Expansion of Pipe Material given Stress due to Temperature Change, you need Stress due to Temperature Change (σ), Elastic Modulus (e) & Change in Temperature (∆T). With our tool, you need to enter the respective value for Stress due to Temperature Change, 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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