Thermal Stress given Coefficient of Linear Expansion 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_T]			+10% -10%
✖Temperature Rise is the increment in temperature of a unit mass when the heat is applied.ⓘ Temperature Rise [ΔT_rise]			+10% -10%
✖Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus Bar [E]			+10% -10%

✖Thermal stress is mechanical stress created by any change in the temperature of a material. These lead to fracturing or plastic deformation depending on the other variables of heating.ⓘ Thermal Stress given Coefficient of Linear Expansion [σ_th]

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Formula

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Thermal Stress given Coefficient of Linear Expansion

Formula

`"σ"_{"th"} = "α"_{"T"}*"ΔT"_{"rise"}*"E"`

Example

`"3.3E^-5MPa"="17E^-6°C⁻¹"*"85K"*"0.023MPa"`

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Thermal Stress given Coefficient of Linear Expansion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Stress = Coefficient of Thermal Expansion*Temperature Rise*Young's Modulus Bar
σ_th = α_T*ΔT_rise*E
This formula uses 4 Variables

Variables Used

Thermal Stress - (Measured in Pascal) - Thermal stress is mechanical stress created by any change in the temperature of a material. These lead to fracturing or plastic deformation depending on the other variables of heating.
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.
Temperature Rise - (Measured in Kelvin) - Temperature Rise is the increment in temperature of a unit mass when the heat is applied.
Young's Modulus Bar - (Measured in Pascal) - Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Thermal Expansion: 1.7E-05 Per Degree Celsius --> 1.7E-05 Per Kelvin (Check conversion here)
Temperature Rise: 85 Kelvin --> 85 Kelvin No Conversion Required
Young's Modulus Bar: 0.023 Megapascal --> 23000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_th = α_T*ΔT_rise*E --> 1.7E-05*85*23000

Evaluating ... ...

σ_th = 33.235

STEP 3: Convert Result to Output's Unit

33.235 Pascal -->3.3235E-05 Megapascal (Check conversion here)

FINAL ANSWER

3.3235E-05 ≈ 3.3E-5 Megapascal <-- Thermal Stress

(Calculation completed in 00.007 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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National Institute Of Technology (NIT), Hamirpur

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< 11 Thermal Stress Calculators

Actual Stress when Support Yields

Go Actual Stress = ((Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))*Modulus of Elasticity of Bar)/Length of Bar

Actual Strain when Support Yields

Go Actual Strain = (Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))/Length of Bar

Actual Expansion when Support Yields

Go Actual Expansion = Coefficient of Linear Expansion*Length of Bar*Change in Temperature-Yield Amount (Length)

Extension of Rod if Rod is Free to Extend

Go Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise

Thermal Stress given Coefficient of Linear Expansion

Go Thermal Stress = Coefficient of Thermal Expansion*Temperature Rise*Young's Modulus Bar

Thermal Strain given Coefficient of Linear Expansion

Go Thermal Strain = Coefficient of Thermal Expansion*Temperature Rise

Actual Stress given Support Yields for Value of Actual Strain

Go Actual Stress = Actual Strain*Modulus of Elasticity of Bar

Thermal Strain given Thermal Stress

Go Thermal Strain = Thermal Stress/Young's Modulus Bar

Thermal Stress given Thermal Strain

Go Thermal Stress = Thermal Strain*Young's Modulus Bar

Thermal Strain

Go Thermal Strain = Prevented Extension/Initial Length

Actual Strain given Support Yields for Value of Actual Expansion

Go Actual Strain = Actual Expansion/Length of Bar

< 5 Thermal Stress and Strain Calculators

Thermal Stress given Coefficient of Linear Expansion

Go Thermal Stress = Coefficient of Thermal Expansion*Temperature Rise*Young's Modulus Bar

Thermal Strain given Coefficient of Linear Expansion

Go Thermal Strain = Coefficient of Thermal Expansion*Temperature Rise

Thermal Strain given Thermal Stress

Go Thermal Strain = Thermal Stress/Young's Modulus Bar

Thermal Stress given Thermal Strain

Go Thermal Stress = Thermal Strain*Young's Modulus Bar

Thermal Strain

Go Thermal Strain = Prevented Extension/Initial Length

Thermal Stress given Coefficient of Linear Expansion Formula

Thermal Stress = Coefficient of Thermal Expansion*Temperature Rise*Young's Modulus Bar
σ_th = α_T*ΔT_rise*E

What is Thermal Stress?

When a body is heated, it tends to expand. If such an expansion is restricted or constrained, stress is induced in the body. Such stress is called thermal stress.

What is Coefficient of Linear Expansion?

The Coefficient of Linear Expansion may be defined as the increase in length per unit length when the temperature is raised by 1°C.

How to Calculate Thermal Stress given Coefficient of Linear Expansion?

Thermal Stress given Coefficient of Linear Expansion calculator uses Thermal Stress = Coefficient of Thermal Expansion*Temperature Rise*Young's Modulus Bar to calculate the Thermal Stress, The Thermal Stress given Coefficient of Linear Expansion can be expressed as the product of the coefficient of thermal expansion, rise in temperature, and young's modulus. Thermal Stress is denoted by σ_th symbol.

How to calculate Thermal Stress given Coefficient of Linear Expansion using this online calculator? To use this online calculator for Thermal Stress given Coefficient of Linear Expansion, enter Coefficient of Thermal Expansion (α_T), Temperature Rise (ΔT_rise) & Young's Modulus Bar (E) and hit the calculate button. Here is how the Thermal Stress given Coefficient of Linear Expansion calculation can be explained with given input values -> 3.3E-11 = 1.7E-05*85*23000.

FAQ

What is Thermal Stress given Coefficient of Linear Expansion?

The Thermal Stress given Coefficient of Linear Expansion can be expressed as the product of the coefficient of thermal expansion, rise in temperature, and young's modulus and is represented as σ_th = α_T*ΔT_rise*E or Thermal Stress = Coefficient of Thermal Expansion*Temperature Rise*Young's Modulus Bar. The Coefficient of Thermal Expansion is a material property that is indicative of the extent to which a material expands upon heating, Temperature Rise is the increment in temperature of a unit mass when the heat is applied & Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

How to calculate Thermal Stress given Coefficient of Linear Expansion?

The Thermal Stress given Coefficient of Linear Expansion can be expressed as the product of the coefficient of thermal expansion, rise in temperature, and young's modulus is calculated using Thermal Stress = Coefficient of Thermal Expansion*Temperature Rise*Young's Modulus Bar. To calculate Thermal Stress given Coefficient of Linear Expansion, you need Coefficient of Thermal Expansion (α_T), Temperature Rise (ΔT_rise) & Young's Modulus Bar (E). With our tool, you need to enter the respective value for Coefficient of Thermal Expansion, Temperature Rise & Young's Modulus Bar 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, Temperature Rise & Young's Modulus Bar. We can use 2 other way(s) to calculate the same, which is/are as follows -

Thermal Stress = Thermal Strain*Young's Modulus Bar
Thermal Stress = Thermal Strain*Young's Modulus Bar

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