Change in Temperature given Stress in Pipe Calculator

✖The Stress applied to a material is the force per unit area applied to the material. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress.ⓘ Stress [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.ⓘ Change in Temperature given Stress in Pipe [∆T]

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Formula

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Change in Temperature given Stress in Pipe

Formula

`"∆T" = "σ"/("α"_{"thermal"}*"e")`

Example

`"16K"="1200Pa"/("1.5°C⁻¹"*"50Pa")`

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Change in Temperature given Stress in Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Temperature = Stress/(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 - (Measured in Pascal) - The Stress applied to a material is the force per unit area applied to the material. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile 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.
Elastic Modulus - (Measured in Pascal) - The Elastic Modulus is the ratio of Stress to Strain.

STEP 1: Convert Input(s) to Base Unit

Stress: 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: 50 Pascal --> 50 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∆T = σ/(α_thermal*e) --> 1200/(1.5*50)

Evaluating ... ...

∆T = 16

STEP 3: Convert Result to Output's Unit

16 Kelvin --> No Conversion Required

FINAL ANSWER

16 Kelvin <-- Change in Temperature

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 16 Pressure Due to External Loads Calculators

Distance of Top of Pipe to below Surface of Fill given Unit Pressure

Go Distance between pipe and fill = ((Unit Pressure*2*pi*(Slant Height)^5)/(3*Superimposed load))^(1/3)

Slant Height of considered Point given Unit Pressure

Go Slant Height = ((3*Superimposed load*(Distance between pipe and fill)^3)/(2*pi*Unit Pressure))^(1/5)

Unit Pressure Developed at any Point in Fill at Depth

Go Unit Pressure = (3*(Distance between pipe and fill)^3*Superimposed load)/(2*pi*(Slant Height)^5)

Superimposed Load given Unit Pressure

Go Superimposed load = (2*pi*Unit Pressure*(Slant Height)^5)/(3*(Distance between pipe and fill)^3)

External Diameter of Pipe given Load Per Unit Length for Pipes

Go External diameter = sqrt(Load per unit Length/(Pipe coefficient*Specific Weight of Fill))

Pipe Coefficient given Load Per Unit Length for Pipes

Go Pipe coefficient = (Load per unit Length/(Specific Weight of Fill*(External diameter)^2))

Specific Weight of Fill Material given Load Per Unit Length for Pipes

Go Specific Weight of Fill = Load per unit Length/(Pipe coefficient*(External diameter)^2)

Load Per Unit Length for Pipes Resting on Undisturbed Ground on Cohesion Less Soil

Go Load per unit Length = Pipe coefficient*Specific Weight of Fill*(External diameter)^2

Coefficient of Thermal Expansion given Elongation in Pipes

Go Thermal Expansion Coefficient = Elongation/(Initial Length*Change in Temperature)

Coefficient of Expansion of Material given Stress in Pipe

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

Change in Temperature given Elongation in Pipes

Go Change in Temperature = Elongation/(Initial Length*Thermal Expansion Coefficient)

Change in Temperature given Stress in Pipe

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

Load Per Unit Length for Pipes given Compressive Stress

Go Load per unit Length = (Compressive Stress*Thickness)-Total Load per Unit Length

Compressive Stress Produced when Pipe is Empty

Go Compressive Stress = (Load per unit Length+Total Load per Unit Length)/Thickness

Thickness of Pipes given Compressive Stress

Go Thickness = (Total Load per Unit Length+Load per unit Length)/Compressive Stress

Elongation in Pipes given Change in Temperature

Go Elongation = Initial Length*Thermal Expansion Coefficient*Change in Temperature

Change in Temperature given Stress in Pipe Formula

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

What is stress ?

In continuum mechanics, stress is a physical quantity that expresses the internal forces that neighbouring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material.

How to Calculate Change in Temperature given Stress in Pipe?

Change in Temperature given Stress in Pipe calculator uses Change in Temperature = Stress/(Coefficient of Thermal Expansion*Elastic Modulus) to calculate the Change in Temperature, The Change in Temperature given Stress in Pipe is defined as the change in temperature from initial stage to the final stage . Change in Temperature is denoted by ∆T symbol.

How to calculate Change in Temperature given Stress in Pipe using this online calculator? To use this online calculator for Change in Temperature given Stress in Pipe, enter Stress (σ), Coefficient of Thermal Expansion (α_thermal) & Elastic Modulus (e) and hit the calculate button. Here is how the Change in Temperature given Stress in Pipe calculation can be explained with given input values -> 16 = 1200/(1.5*50).

FAQ

What is Change in Temperature given Stress in Pipe?

The Change in Temperature given Stress in Pipe is defined as the change in temperature from initial stage to the final stage and is represented as ∆T = σ/(α_thermal*e) or Change in Temperature = Stress/(Coefficient of Thermal Expansion*Elastic Modulus). The Stress applied to a material is the force per unit area applied to the material. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress, 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 Change in Temperature given Stress in Pipe?

The Change in Temperature given Stress in Pipe is defined as the change in temperature from initial stage to the final stage is calculated using Change in Temperature = Stress/(Coefficient of Thermal Expansion*Elastic Modulus). To calculate Change in Temperature given Stress in Pipe, you need Stress (σ), Coefficient of Thermal Expansion (α_thermal) & Elastic Modulus (e). With our tool, you need to enter the respective value for Stress, 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, 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 = Elongation/(Initial Length*Thermal Expansion Coefficient)

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