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Coefficient of Expansion of Material given Stress in Pipe Formula

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The Coefficient of Thermal Expansion refers to the material property that is indicative of the extent to which a material expands upon heating. Check FAQs

α thermal = \frac{σ}{∆T \cdot e}

α_thermal - Coefficient of Thermal Expansion?σ - Stress?∆T - Change in Temperature?e - Elastic Modulus?

Coefficient of Expansion of Material given Stress in Pipe Example

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Here is how the Coefficient of Expansion of Material given Stress in Pipe equation looks like with Values.

Here is how the Coefficient of Expansion of Material given Stress in Pipe equation looks like with Units.

Here is how the Coefficient of Expansion of Material given Stress in Pipe equation looks like.

0.48 = \frac{1200}{50 \cdot 50}

0.48°C⁻¹ = \frac{1200Pa}{50K \cdot 50Pa}

0.48 = \frac{1200}{50 \cdot 50}

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Coefficient of Expansion of Material given Stress in Pipe Solution

Follow our step by step solution on how to calculate Coefficient of Expansion of Material given Stress in Pipe?

FIRST Step Consider the formula

α thermal = \frac{σ}{∆T \cdot e}

Next Step Substitute values of Variables

∴

α thermal = \frac{1200Pa}{50K \cdot 50Pa}

Next Step Prepare to Evaluate

∴

α thermal = \frac{1200}{50 \cdot 50}

Next Step Evaluate

∴

α thermal = 0.481/K

LAST Step Convert to Output's Unit

∴

α thermal = 0.48°C⁻¹

Coefficient of Expansion of Material given Stress in Pipe Formula Elements

Variables

Coefficient of Thermal Expansion

The Coefficient of Thermal Expansion refers to the material property that is indicative of the extent to which a material expands upon heating.

Symbol: α_thermal

Measurement: Temperature Coefficient of ResistanceUnit: °C⁻¹

Note: Value can be positive or negative.

Formulas to find Coefficient of Thermal Expansion

Stress

The Stress refers to the material is the force per unit area applied to the material. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress.

Symbol: σ

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Stress

Change in Temperature

The Change in Temperature refers to the difference between the initial and final temperature.

Symbol: ∆T

Measurement: Temperature DifferenceUnit: K

Note: Value can be positive or negative.

Formulas to find Change in Temperature

Elastic Modulus

The Elastic Modulus refers to the ratio of stress to strain.

Symbol: e

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Elastic Modulus

Other formulas in Pressure Due to External Loads category

Go Load Per Unit Length for Pipes Resting on Undisturbed Ground on Cohesion Less Soil

W = C p \cdot γ \cdot {(D)}^{2}

Go Pipe Coefficient given Load Per Unit Length for Pipes

C p = (\frac{W}{γ \cdot {(D)}^{2}})

Go Specific Weight of Fill Material given Load Per Unit Length for Pipes

γ = \frac{W}{C p \cdot {(D)}^{2}}

Go External Diameter of Pipe given Load Per Unit Length for Pipes

D = \sqrt{\frac{W}{C p \cdot γ}}

How to Evaluate Coefficient of Expansion of Material given Stress in Pipe?

Coefficient of Expansion of Material given Stress in Pipe evaluator uses Coefficient of Thermal Expansion = Stress/(Change in Temperature*Elastic Modulus) to evaluate the Coefficient of Thermal Expansion, The Coefficient of Expansion of Material given Stress in Pipe is defined as the tendency of matter to change its shape, area, volume, and density in response to a change in temperature. Coefficient of Thermal Expansion is denoted by α_thermal symbol.

How to evaluate Coefficient of Expansion of Material given Stress in Pipe using this online evaluator? To use this online evaluator for Coefficient of Expansion of Material given Stress in Pipe, enter Stress (σ), Change in Temperature (∆T) & Elastic Modulus (e) and hit the calculate button.

FAQs on Coefficient of Expansion of Material given Stress in Pipe

What is the formula to find Coefficient of Expansion of Material given Stress in Pipe?

The formula of Coefficient of Expansion of Material given Stress in Pipe is expressed as Coefficient of Thermal Expansion = Stress/(Change in Temperature*Elastic Modulus). Here is an example- 0.48 = 1200/(50*50).

How to calculate Coefficient of Expansion of Material given Stress in Pipe?

With Stress (σ), Change in Temperature (∆T) & Elastic Modulus (e) we can find Coefficient of Expansion of Material given Stress in Pipe using the formula - Coefficient of Thermal Expansion = Stress/(Change in Temperature*Elastic Modulus).

Can the Coefficient of Expansion of Material given Stress in Pipe be negative?

Yes, the Coefficient of Expansion of Material given Stress in Pipe, measured in Temperature Coefficient of Resistance can be negative.

Which unit is used to measure Coefficient of Expansion of Material given Stress in Pipe?

Coefficient of Expansion of Material given Stress in Pipe is usually measured using the Per Degree Celsius[°C⁻¹] for Temperature Coefficient of Resistance. Per Kelvin[°C⁻¹] are the few other units in which Coefficient of Expansion of Material given Stress in Pipe can be measured.

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