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Thermal Stress of Material Formula

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Thermal Stress is the stress produced by any change in the temperature of the material. Check FAQs

σ = \frac{α \cdot E \cdot ΔT}{l 0}

σ - Thermal Stress?α - Coefficient of Linear Thermal Expansion?E - Young's Modulus?ΔT - Temperature Change?l₀ - Initial Length?

Thermal Stress of Material Example

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Here is how the Thermal Stress of Material equation looks like with Values.

Here is how the Thermal Stress of Material equation looks like with Units.

Here is how the Thermal Stress of Material equation looks like.

2.6E-6 = \frac{0.001 \cdot 15 \cdot 21}{0.119}

2.6E-6MPa = \frac{0.001°C⁻¹ \cdot 15N/m \cdot 21K}{0.119m}

2.6E-6 = \frac{0.001 \cdot 15 \cdot 21}{0.119}

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Thermal Stress of Material Solution

Follow our step by step solution on how to calculate Thermal Stress of Material?

FIRST Step Consider the formula

σ = \frac{α \cdot E \cdot ΔT}{l 0}

Next Step Substitute values of Variables

∴

σ = \frac{0.001°C⁻¹ \cdot 15N/m \cdot 21K}{0.119m}

Next Step Convert Units

∴

σ = \frac{0.0011/K \cdot 15N/m \cdot 21K}{0.119m}

Next Step Prepare to Evaluate

∴

σ = \frac{0.001 \cdot 15 \cdot 21}{0.119}

Next Step Evaluate

∴

σ = 2.64705882352941Pa

Next Step Convert to Output's Unit

∴

σ = 2.64705882352941E-06MPa

LAST Step Rounding Answer

∴

σ = 2.6E-6MPa

Thermal Stress of Material Formula Elements

Variables

Thermal Stress

Thermal Stress is the stress produced by any change in the temperature of the material.

Symbol: σ

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Thermal Stress

Coefficient of Linear Thermal Expansion

The Coefficient of Linear Thermal Expansion is a material property that characterizes the ability of a plastic to expand under the effect of temperature elevation.

Symbol: α

Measurement: Temperature Coefficient of ResistanceUnit: °C⁻¹

Note: Value can be positive or negative.

Formulas to find Coefficient of Linear Thermal Expansion

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Formulas to find Young's Modulus

Temperature Change

Temperature Change is a process whereby the degree of hotness of a body (or medium) changes.

Symbol: ΔT

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature Change

Initial Length

Initial Length or Actual Length of a curve which undergoing iteration or some elastic extension, is the length of the curve before all those changes.

Symbol: l₀

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Length

Other formulas in Thermal Parameters category

Go Saturated Mixture Specific Enthalpy

h = h f + χ \cdot h fg

Go Sensible Heat Factor

SHF = \frac{SH}{SH + LH}

Go Specific Heat

c = Q \cdot m \cdot ΔT

Go Specific Heat at Constant Volume

C vm = \frac{ΔQ}{N m \cdot ΔT}

How to Evaluate Thermal Stress of Material?

Thermal Stress of Material evaluator uses Thermal Stress = (Coefficient of Linear Thermal Expansion*Young's Modulus*Temperature Change)/(Initial Length) to evaluate the Thermal Stress, The Thermal stress of material is mechanical stress created by any change in temperature of a material. These stresses can lead to fracturing or plastic deformation depending on the other variables of heating, which include material types and constraints. Thermal Stress is denoted by σ symbol.

How to evaluate Thermal Stress of Material using this online evaluator? To use this online evaluator for Thermal Stress of Material, enter Coefficient of Linear Thermal Expansion (α), Young's Modulus (E), Temperature Change (ΔT) & Initial Length (l₀) and hit the calculate button.

FAQs on Thermal Stress of Material

What is the formula to find Thermal Stress of Material?

The formula of Thermal Stress of Material is expressed as Thermal Stress = (Coefficient of Linear Thermal Expansion*Young's Modulus*Temperature Change)/(Initial Length). Here is an example- 2.6E-12 = (0.001*15*21)/(0.119).

How to calculate Thermal Stress of Material?

With Coefficient of Linear Thermal Expansion (α), Young's Modulus (E), Temperature Change (ΔT) & Initial Length (l₀) we can find Thermal Stress of Material using the formula - Thermal Stress = (Coefficient of Linear Thermal Expansion*Young's Modulus*Temperature Change)/(Initial Length).

Can the Thermal Stress of Material be negative?

Yes, the Thermal Stress of Material, measured in Stress can be negative.

Which unit is used to measure Thermal Stress of Material?

Thermal Stress of Material is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Thermal Stress of Material can be measured.

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Thermal Stress of Material Formula

Thermal Stress of Material Example

Thermal Stress of Material Solution

Thermal Stress of Material Formula Elements

Other formulas in Thermal Parameters category

How to Evaluate Thermal Stress of Material?

FAQs on Thermal Stress of Material

Variable Name