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Actual Expansion of Copper Formula

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Actual Expansion of Copper is the sum of real expansion and apparent expansion/contraction. Check FAQs

AE c = α T \cdot ΔT rise \cdot L bar - \frac{σ c'}{E} \cdot L bar

AE_c - Actual Expansion of Copper?α_T - Coefficient of Thermal Expansion?ΔT_rise - Temperature Rise?L_bar - Length of Bar?σ_c' - Compressive Stress on Bar?E - Young's Modulus Bar?

Actual Expansion of Copper Example

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Here is how the Actual Expansion of Copper equation looks like with Values.

Here is how the Actual Expansion of Copper equation looks like with Units.

Here is how the Actual Expansion of Copper equation looks like.

-434779.7187 = 1.7E-5 \cdot 85 \cdot 2000 - \frac{5}{0.023} \cdot 2000

-434779.7187mm = 1.7E-5°C⁻¹ \cdot 85K \cdot 2000mm - \frac{5MPa}{0.023MPa} \cdot 2000mm

-434779.7187 = 1.7E-5 \cdot 85 \cdot 2000 - \frac{5}{0.023} \cdot 2000

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Actual Expansion of Copper Solution

Follow our step by step solution on how to calculate Actual Expansion of Copper?

FIRST Step Consider the formula

AE c = α T \cdot ΔT rise \cdot L bar - \frac{σ c'}{E} \cdot L bar

Next Step Substitute values of Variables

∴

AE c = 1.7E-5°C⁻¹ \cdot 85K \cdot 2000mm - \frac{5MPa}{0.023MPa} \cdot 2000mm

Next Step Convert Units

∴

AE c = 1.7E-51/K \cdot 85K \cdot 2m - \frac{5E+6Pa}{23000Pa} \cdot 2m

Next Step Prepare to Evaluate

∴

AE c = 1.7E-5 \cdot 85 \cdot 2 - \frac{5E+6}{23000} \cdot 2

Next Step Evaluate

∴

AE c = -434.779718695652m

Next Step Convert to Output's Unit

∴

AE c = -434779.718695652mm

LAST Step Rounding Answer

∴

AE c = -434779.7187mm

Actual Expansion of Copper Formula Elements

Variables

Actual Expansion of Copper

Actual Expansion of Copper is the sum of real expansion and apparent expansion/contraction.

Symbol: AE_c

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Actual Expansion of Copper

Coefficient of Thermal Expansion

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

Symbol: α_T

Measurement: Temperature Coefficient of ResistanceUnit: °C⁻¹

Note: Value can be positive or negative.

Formulas to find Coefficient of Thermal 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

Length of Bar

Length of Bar typically refers to the physical measurement of the bar along its longest dimension.

Symbol: L_bar

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Bar

Compressive Stress on Bar

Compressive Stress on Bar is the force that is responsible for the deformation of the material such that the volume of the material reduces.

Symbol: σ_c'

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Compressive Stress on Bar

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 in Composite Bars category

Go Load on Brass or Steel

W load = σ \cdot A

Go Actual Expansion of Steel

L = α T \cdot ΔT rise \cdot L bar + \frac{σ t}{E} \cdot L bar

Go Free Expansion of Steel

ΔL s = α T \cdot ΔT rise \cdot L bar

Go Expansion due to tensile stress in steel

α s = \frac{σ}{E} \cdot L bar

How to Evaluate Actual Expansion of Copper?

Actual Expansion of Copper evaluator uses Actual Expansion of Copper = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar-Compressive Stress on Bar/Young's Modulus Bar*Length of Bar to evaluate the Actual Expansion of Copper, The actual expansion of Copper formula is defined as the difference between real expansion and contraction due to compressive stress. Actual Expansion of Copper is denoted by AE_c symbol.

How to evaluate Actual Expansion of Copper using this online evaluator? To use this online evaluator for Actual Expansion of Copper, enter Coefficient of Thermal Expansion (α_T), Temperature Rise (ΔT_rise), Length of Bar (L_bar), Compressive Stress on Bar (σ_c') & Young's Modulus Bar (E) and hit the calculate button.

FAQs on Actual Expansion of Copper

What is the formula to find Actual Expansion of Copper?

The formula of Actual Expansion of Copper is expressed as Actual Expansion of Copper = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar-Compressive Stress on Bar/Young's Modulus Bar*Length of Bar. Here is an example- -434779718.695652 = 1.7E-05*85*2-5000000/23000*2.

How to calculate Actual Expansion of Copper?

With Coefficient of Thermal Expansion (α_T), Temperature Rise (ΔT_rise), Length of Bar (L_bar), Compressive Stress on Bar (σ_c') & Young's Modulus Bar (E) we can find Actual Expansion of Copper using the formula - Actual Expansion of Copper = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar-Compressive Stress on Bar/Young's Modulus Bar*Length of Bar.

Can the Actual Expansion of Copper be negative?

Yes, the Actual Expansion of Copper, measured in Length can be negative.

Which unit is used to measure Actual Expansion of Copper?

Actual Expansion of Copper is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Actual Expansion of Copper can be measured.

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Actual Expansion of Copper Formula

Actual Expansion of Copper Example

Actual Expansion of Copper Solution

Actual Expansion of Copper Formula Elements

Other formulas in Thermal Stress in Composite Bars category

How to Evaluate Actual Expansion of Copper?

FAQs on Actual Expansion of Copper

Variable Name