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Thermal Stress given Coefficient of Linear Expansion Formula

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Thermal Stress given Coef. of Linear Expansion is the stress induced in a material due to a change in temperature. Check FAQs

σ c = α L \cdot ΔT rise \cdot E

σ_c - Thermal Stress given Coef. of Linear Expansion?α_L - Coefficient of Linear Expansion?ΔT_rise - Temperature Rise?E - Young's Modulus Bar?

Thermal Stress given Coefficient of Linear Expansion Example

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Here is how the Thermal Stress given Coefficient of Linear Expansion equation looks like with Values.

Here is how the Thermal Stress given Coefficient of Linear Expansion equation looks like with Units.

Here is how the Thermal Stress given Coefficient of Linear Expansion equation looks like.

0.001 = 0.0005 \cdot 85 \cdot 0.023

0.001MPa = 0.0005K⁻¹ \cdot 85K \cdot 0.023MPa

0.001 = 0.0005 \cdot 85 \cdot 0.023

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Thermal Stress given Coefficient of Linear Expansion Solution

Follow our step by step solution on how to calculate Thermal Stress given Coefficient of Linear Expansion?

FIRST Step Consider the formula

σ c = α L \cdot ΔT rise \cdot E

Next Step Substitute values of Variables

∴

σ c = 0.0005K⁻¹ \cdot 85K \cdot 0.023MPa

Next Step Convert Units

∴

σ c = 0.0005K⁻¹ \cdot 85K \cdot 23000Pa

Next Step Prepare to Evaluate

∴

σ c = 0.0005 \cdot 85 \cdot 23000

Next Step Evaluate

∴

σ c = 977.5Pa

Next Step Convert to Output's Unit

∴

σ c = 0.0009775MPa

LAST Step Rounding Answer

∴

σ c = 0.001MPa

Thermal Stress given Coefficient of Linear Expansion Formula Elements

Variables

Thermal Stress given Coef. of Linear Expansion

Thermal Stress given Coef. of Linear Expansion is the stress induced in a material due to a change in temperature.

Symbol: σ_c

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Thermal Stress given Coef. of Linear Expansion

Coefficient of Linear Expansion

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.

Symbol: α_L

Measurement: Coefficient of Linear ExpansionUnit: K⁻¹

Note: Value can be positive or negative.

Formulas to find Coefficient of Linear Expansion

Temperature Rise

Temperature Rise is the increment in temperature of a unit mass when the heat is applied.

Symbol: ΔT_rise

Measurement: Temperature DifferenceUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature Rise

Young's Modulus Bar

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.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus Bar

Other formulas in Thermal Stress category

Go Thermal Strain

ε = \frac{ΔL}{l 0}

Go Thermal Strain given Coefficient of Linear Expansion

ε c = α L \cdot ΔT rise

Go Thermal Strain given Thermal Stress

ε s = \frac{σ th}{E}

Go Thermal Stress given Thermal Strain

σ s = ε \cdot E

How to Evaluate Thermal Stress given Coefficient of Linear Expansion?

Thermal Stress given Coefficient of Linear Expansion evaluator uses Thermal Stress given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise*Young's Modulus Bar to evaluate 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 evaluate Thermal Stress given Coefficient of Linear Expansion using this online evaluator? To use this online evaluator 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.

FAQs on Thermal Stress given Coefficient of Linear Expansion

What is the formula to find Thermal Stress given Coefficient of Linear Expansion?

The formula of Thermal Stress given Coefficient of Linear Expansion is expressed as Thermal Stress given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise*Young's Modulus Bar. Here is an example- 9.8E-10 = 0.0005*85*23000.

How to calculate Thermal Stress given Coefficient of Linear Expansion?

With Coefficient of Linear Expansion (α_L), Temperature Rise (ΔT_rise) & Young's Modulus Bar (E) we can find Thermal Stress given Coefficient of Linear Expansion using the formula - Thermal Stress given Coef. of Linear Expansion = Coefficient of Linear Expansion*Temperature Rise*Young's Modulus Bar.

Can the Thermal Stress given Coefficient of Linear Expansion be negative?

No, the Thermal Stress given Coefficient of Linear Expansion, measured in Pressure cannot be negative.

Which unit is used to measure Thermal Stress given Coefficient of Linear Expansion?

Thermal Stress given Coefficient of Linear Expansion is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Thermal Stress given Coefficient of Linear Expansion can be measured.

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