Thermal Stress given Coefficient of Linear Expansion Calculator

✖The Coefficient of Linear Expansion is a material property that measures the rate of change of the material's linear dimensions in response to a change in temperature.ⓘ Coefficient of Linear Expansion [α_L]			+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 measure of the stiffness of a material. It quantifies the relationship between stress and strain in a material under tension or compression.ⓘ Young's Modulus Bar [E]			+10% -10%

✖Thermal Stress given Coef. of Linear Expansion is the stress induced in a material due to a change in temperature.ⓘ Thermal Stress given Coefficient of Linear Expansion [σ_c]

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Thermal Stress given Coefficient of Linear Expansion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Stress given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise*Young's Modulus Bar
σ_c = α_L*ΔT_rise*E
This formula uses 4 Variables

Variables Used

Thermal Stress given Coef. of Linear Expansion - (Measured in Pascal) - Thermal Stress given Coef. of Linear Expansion is the stress induced in a material due to a change in temperature.
Coefficient of Linear Expansion - (Measured in Per Kelvin) - The Coefficient of Linear Expansion is a material property that measures the rate of change of the material's linear dimensions in response to a change in temperature.
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 measure of the stiffness of a material. It quantifies the relationship between stress and strain in a material under tension or compression.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Linear Expansion: 0.0005 Per Kelvin --> 0.0005 Per Kelvin No Conversion Required
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_c = α_L*ΔT_rise*E --> 0.0005*85*23000

Evaluating ... ...

σ_c = 977.5

STEP 3: Convert Result to Output's Unit

977.5 Pascal -->0.0009775 Megapascal (Check conversion here)

FINAL ANSWER

0.0009775 ≈ 0.000978 Megapascal <-- Thermal Stress given Coef. of Linear Expansion

(Calculation completed in 00.007 seconds)

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National Institute of Technology (NIT), Tiruchirapalli

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< Thermal Stress Calculators

Actual Strain when Support Yields

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

Actual Expansion when Support Yields

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

Actual Stress given Support Yields for Value of Actual Strain

LaTeX Go Actual Stress With Support Yield = Actual Strain*Modulus of Elasticity of Bar

Actual Strain given Support Yields for Value of Actual Expansion

LaTeX Go Actual Strain = Actual Expansion/Length of Bar

< Thermal Stress and Strain Calculators

Thermal Stress given Coefficient of Linear Expansion

LaTeX Go Thermal Stress given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise*Young's Modulus Bar

Thermal Strain given Coefficient of Linear Expansion

LaTeX Go Thermal Strain given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise

Thermal Strain given Thermal Stress

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

Thermal Strain

LaTeX Go Thermal Strain = Prevented Extension/Initial Length

Thermal Stress given Coefficient of Linear Expansion Formula

LaTeX Go

Thermal Stress given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise*Young's Modulus Bar
σ_c = α_L*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 given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise*Young's Modulus Bar to calculate the Thermal Stress given Coef. of Linear Expansion, The Thermal Stress given Coefficient of Linear Expansion formula is defined as the measure of the stress induced in a material due to a change in temperature. When a material undergoes a temperature change, it tends to expand or contract. Thermal Stress given Coef. of Linear Expansion is denoted by σ_c 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 Linear Expansion (α_L), 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 -> 9.8E-10 = 0.0005*85*23000.

FAQ

What is Thermal Stress given Coefficient of Linear Expansion?

The Thermal Stress given Coefficient of Linear Expansion formula is defined as the measure of the stress induced in a material due to a change in temperature. When a material undergoes a temperature change, it tends to expand or contract and is represented as σ_c = α_L*ΔT_rise*E or Thermal Stress given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise*Young's Modulus Bar. The Coefficient of Linear Expansion is a material property that measures the rate of change of the material's linear dimensions in response to a change in temperature, Temperature Rise is the increment in temperature of a unit mass when the heat is applied & Young's Modulus Bar is a measure of the stiffness of a material. It quantifies the relationship between stress and strain in a material under tension or compression.

How to calculate Thermal Stress given Coefficient of Linear Expansion?

The Thermal Stress given Coefficient of Linear Expansion formula is defined as the measure of the stress induced in a material due to a change in temperature. When a material undergoes a temperature change, it tends to expand or contract is calculated using Thermal Stress given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise*Young's Modulus Bar. To calculate Thermal Stress given Coefficient of Linear Expansion, you need Coefficient of Linear Expansion (α_L), Temperature Rise (ΔT_rise) & Young's Modulus Bar (E). With our tool, you need to enter the respective value for Coefficient of Linear 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.

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