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Actual Expansion of Steel Formula

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Actual expansion of steel is the sum of real expansion and apparent expansion. Check FAQs

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

L - Actual Expansion of Steel?α_T - Coefficient of Thermal Expansion?ΔT_rise - Temperature Rise?L_bar - Length of Bar?σ_t - Tensile Stress?E - Young's Modulus Bar?

Actual Expansion of Steel Example

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

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

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

15046.3683 = 1.7E-5 \cdot 85 \cdot 2000 + \frac{0.173}{0.023} \cdot 2000

15046.3683mm = 1.7E-5°C⁻¹ \cdot 85K \cdot 2000mm + \frac{0.173MPa}{0.023MPa} \cdot 2000mm

15046.3683 = 1.7E-5 \cdot 85 \cdot 2000 + \frac{0.173}{0.023} \cdot 2000

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Actual Expansion of Steel Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = 1.7E-5°C⁻¹ \cdot 85K \cdot 2000mm + \frac{0.173MPa}{0.023MPa} \cdot 2000mm

Next Step Convert Units

∴

L = 1.7E-51/K \cdot 85K \cdot 2m + \frac{173000Pa}{23000Pa} \cdot 2m

Next Step Prepare to Evaluate

∴

L = 1.7E-5 \cdot 85 \cdot 2 + \frac{173000}{23000} \cdot 2

Next Step Evaluate

∴

L = 15.0463682608696m

Next Step Convert to Output's Unit

∴

L = 15046.3682608696mm

LAST Step Rounding Answer

∴

L = 15046.3683mm

Actual Expansion of Steel Formula Elements

Variables

Actual Expansion of Steel

Actual expansion of steel is the sum of real expansion and apparent expansion.

Symbol: L

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Actual Expansion of Steel

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

Tensile Stress

Tensile stress can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.

Symbol: σ_t

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Tensile Stress

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 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

Go Actual Expansion of Copper

AE c = α T \cdot ΔT rise \cdot L bar - \frac{σ compressive}{E} \cdot L bar

How to Evaluate Actual Expansion of Steel?

Actual Expansion of Steel evaluator uses Actual Expansion of Steel = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar+Tensile Stress/Young's Modulus Bar*Length of Bar to evaluate the Actual Expansion of Steel, The actual expansion of steel is the sum of free expansion of steel and expansion due to tensile stress in steel. Actual Expansion of Steel is denoted by L symbol.

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

FAQs on Actual Expansion of Steel

What is the formula to find Actual Expansion of Steel?

The formula of Actual Expansion of Steel is expressed as Actual Expansion of Steel = Coefficient of Thermal Expansion*Temperature Rise*Length of Bar+Tensile Stress/Young's Modulus Bar*Length of Bar. Here is an example- 1.5E+7 = 1.7E-05*85*2+173000/23000*2.

How to calculate Actual Expansion of Steel?

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

Can the Actual Expansion of Steel be negative?

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

Which unit is used to measure Actual Expansion of Steel?

Actual Expansion of Steel 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 Steel can be measured.

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Actual Expansion of Steel Formula

Actual Expansion of Steel Example

Actual Expansion of Steel Solution

Actual Expansion of Steel Formula Elements

Other formulas in Thermal Stress in Composite Bars category

How to Evaluate Actual Expansion of Steel?

FAQs on Actual Expansion of Steel

Variable Name