Thermal Stress Calculator

✖The Coefficient of Thermal Expansion describes how the size of an object changes with a change in temperature.ⓘ Coefficient of Thermal Expansion [𝛼]			+10% -10%
✖The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Bending Stress [σ_b]			+10% -10%
✖The Change in Temperature is the difference between the initial and final temperature.ⓘ Change in Temperature [∆T]			+10% -10%

✖The Thermal Stress is the strain or force within a material due to temperature variations, causing expansion or contraction, potentially leading to deformation or failure.ⓘ Thermal Stress [σ_T]

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Formula

✖

Thermal Stress

Formula

`"σ"_{"T"} = "𝛼"*"σ"_{"b"}*"∆T"`

Example

`"22.5225Pa"="0.005"*"65Pa"*"69.3K"`

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Thermal Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature
σ_T = 𝛼*σ_b*∆T
This formula uses 4 Variables

Variables Used

Thermal Stress - (Measured in Pascal) - The Thermal Stress is the strain or force within a material due to temperature variations, causing expansion or contraction, potentially leading to deformation or failure.
Coefficient of Thermal Expansion - The Coefficient of Thermal Expansion describes how the size of an object changes with a change in temperature.
Bending Stress - (Measured in Pascal) - The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
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: 0.005 --> No Conversion Required
Bending Stress: 65 Pascal --> 65 Pascal No Conversion Required
Change in Temperature: 69.3 Kelvin --> 69.3 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_T = 𝛼*σ_b*∆T --> 0.005*65*69.3

Evaluating ... ...

σ_T = 22.5225

STEP 3: Convert Result to Output's Unit

22.5225 Pascal --> No Conversion Required

FINAL ANSWER

22.5225 Pascal <-- Thermal Stress

(Calculation completed in 00.004 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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< 16 Stress Calculators

Stress due to Impact Loading

Go Stress due to Loading = Load*(1+sqrt(1+(2*Cross sectional area*Bending Stress*Height at which load falls)/(Load*Length of Weld)))/Cross sectional area

Brinell Hardness Number

Go Brinell Hardness Number = Load/((0.5*pi*Diameter of Ball Indentor)*(Diameter of Ball Indentor-(Diameter of Ball Indentor^2-Diameter of Indentation^2)^0.5))

Thermal Stress in Tapered Bar

Go Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress)

Beam Shear Stress

Go Shearing Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)

Shearing Stress

Go Shearing Stress = (Shearing Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)

Shear Stress in Double Parallel Fillet Weld

Go Shearing Stress = Load on Double Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)

Thermal Stress

Go Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature

Bending Stress

Go Bending Stress = Bending Moment*Distance from Neutral Axis/Moment of Inertia

Torsional Shear Stress

Go Shearing Stress = (Torque*Radius of Shaft)/Polar Moment of Inertia

Shear Stress of Circular Beam

Go Stress on Body = (4*Shearing Force)/(3*Cross sectional area)

Stress due to Gradual Loading

Go Stress due to Gradual Loading = Force/Cross sectional area

Maximum Shearing Stress

Go Stress on Body = (1.5*Shearing Force)/Cross sectional area

Shear Stress

Go Shearing Stress = Tangential Force/Cross sectional area

Bulk Stress

Go Bulk Stress = Normal Inward Force/Cross sectional area

Direct Stress

Go Direct Stress = Axial Thrust/Cross sectional area

Stress due to Sudden Loading

Go Stress on Body = 2*Force/Cross sectional area

Thermal Stress Formula

Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature
σ_T = 𝛼*σ_b*∆T

What is thermal Stress?

Thermal Stress is the stress caused due to the change in temperature.

How to Calculate Thermal Stress?

Thermal Stress calculator uses Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature to calculate the Thermal Stress, The thermal stress is product of coefficient of thermal expansion, elastic modulus and change in temperature. Thermal Stress is denoted by σ_T symbol.

How to calculate Thermal Stress using this online calculator? To use this online calculator for Thermal Stress, enter Coefficient of Thermal Expansion (𝛼), Bending Stress (σ_b) & Change in Temperature (∆T) and hit the calculate button. Here is how the Thermal Stress calculation can be explained with given input values -> 22.5225 = 0.005*65*69.3.

FAQ

What is Thermal Stress?

The thermal stress is product of coefficient of thermal expansion, elastic modulus and change in temperature and is represented as σ_T = 𝛼*σ_b*∆T or Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature. The Coefficient of Thermal Expansion describes how the size of an object changes with a change in temperature, The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend & The Change in Temperature is the difference between the initial and final temperature.

How to calculate Thermal Stress?

The thermal stress is product of coefficient of thermal expansion, elastic modulus and change in temperature is calculated using Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature. To calculate Thermal Stress, you need Coefficient of Thermal Expansion (𝛼), Bending Stress (σ_b) & Change in Temperature (∆T). With our tool, you need to enter the respective value for Coefficient of Thermal Expansion, Bending Stress & Change in Temperature 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 Thermal Stress?

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

Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress)

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