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Area of Concrete Section when Transformed Area is Calculated Formula

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Transformed Area of Concrete is the modified or altered surface of a concrete structure resulting from changes or treatments. Check FAQs

A T = A t - (m \cdot As)

A_T - Transformed Area of Concrete?A_t - Transformed Area of Prestressed Member?m - Modular Ratio?As - Area of Prestressing Steel?

Area of Concrete Section when Transformed Area is Calculated Example

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Here is how the Area of Concrete Section when Transformed Area is Calculated equation looks like with Values.

Here is how the Area of Concrete Section when Transformed Area is Calculated equation looks like with Units.

Here is how the Area of Concrete Section when Transformed Area is Calculated equation looks like.

965.14 = 4500.14 - (175 \cdot 20.2)

965.14mm² = 4500.14mm² - (175 \cdot 20.2mm²)

965.14 = 4500.14 - (175 \cdot 20.2)

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Area of Concrete Section when Transformed Area is Calculated Solution

Follow our step by step solution on how to calculate Area of Concrete Section when Transformed Area is Calculated?

FIRST Step Consider the formula

A T = A t - (m \cdot As)

Next Step Substitute values of Variables

∴

A T = 4500.14mm² - (175 \cdot 20.2mm²)

Next Step Convert Units

∴

A T = 0.0045m² - (175 \cdot 2E-5m²)

Next Step Prepare to Evaluate

∴

A T = 0.0045 - (175 \cdot 2E-5)

Next Step Evaluate

∴

A T = 0.00096514m²

LAST Step Convert to Output's Unit

∴

A T = 965.14mm²

Area of Concrete Section when Transformed Area is Calculated Formula Elements

Variables

Transformed Area of Concrete

Transformed Area of Concrete is the modified or altered surface of a concrete structure resulting from changes or treatments.

Symbol: A_T

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Transformed Area of Concrete

Transformed Area of Prestressed Member

The Transformed Area of Prestressed Member is the area of the member when steel is substituted by an equivalent area of concrete.

Symbol: A_t

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Transformed Area of Prestressed Member

Modular Ratio

The modular ratio is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Modular Ratio

Area of Prestressing Steel

Area of Prestressing Steel is the total cross sectional area of tendons.

Symbol: As

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Prestressing Steel

Other formulas in General Geometric Properties category

Go Transformed Area of Prestressed Member

A t = A T + (m \cdot As)

Go Area of Prestressing Steel given Transformed Area

As = \frac{A t - A T}{m}

Go Transformed Area of Prestressed Member given Gross Area of Member

A t = A g + (m - 1) \cdot As

How to Evaluate Area of Concrete Section when Transformed Area is Calculated?

Area of Concrete Section when Transformed Area is Calculated evaluator uses Transformed Area of Concrete = Transformed Area of Prestressed Member-(Modular Ratio*Area of Prestressing Steel) to evaluate the Transformed Area of Concrete, The Area of Concrete Section when Transformed Area is Calculated is defined as the net cross sectional area of concrete excluding the area of prestressing steel. Transformed Area of Concrete is denoted by A_T symbol.

How to evaluate Area of Concrete Section when Transformed Area is Calculated using this online evaluator? To use this online evaluator for Area of Concrete Section when Transformed Area is Calculated, enter Transformed Area of Prestressed Member (A_t), Modular Ratio (m) & Area of Prestressing Steel (As) and hit the calculate button.

FAQs on Area of Concrete Section when Transformed Area is Calculated

What is the formula to find Area of Concrete Section when Transformed Area is Calculated?

The formula of Area of Concrete Section when Transformed Area is Calculated is expressed as Transformed Area of Concrete = Transformed Area of Prestressed Member-(Modular Ratio*Area of Prestressing Steel). Here is an example- 1E+9 = 0.00450014-(175*2.02E-05).

How to calculate Area of Concrete Section when Transformed Area is Calculated?

With Transformed Area of Prestressed Member (A_t), Modular Ratio (m) & Area of Prestressing Steel (As) we can find Area of Concrete Section when Transformed Area is Calculated using the formula - Transformed Area of Concrete = Transformed Area of Prestressed Member-(Modular Ratio*Area of Prestressing Steel).

Can the Area of Concrete Section when Transformed Area is Calculated be negative?

No, the Area of Concrete Section when Transformed Area is Calculated, measured in Area cannot be negative.

Which unit is used to measure Area of Concrete Section when Transformed Area is Calculated?

Area of Concrete Section when Transformed Area is Calculated is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Area of Concrete Section when Transformed Area is Calculated can be measured.

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Area of Concrete Section when Transformed Area is Calculated Formula

Area of Concrete Section when Transformed Area is Calculated Example

Area of Concrete Section when Transformed Area is Calculated Solution

Area of Concrete Section when Transformed Area is Calculated Formula Elements

Other formulas in General Geometric Properties category

How to Evaluate Area of Concrete Section when Transformed Area is Calculated?

FAQs on Area of Concrete Section when Transformed Area is Calculated

Variable Name