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Transformed Area of Prestressed Member Formula

GoTransformed Area of Prestressed Member given Gross Area of Member Formula

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

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

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

Transformed Area of Prestressed Member Example

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With units

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Here is how the Transformed Area of Prestressed Member equation looks like with Values.

Here is how the Transformed Area of Prestressed Member equation looks like with Units.

Here is how the Transformed Area of Prestressed Member equation looks like.

4535 = 1000 + (175 \cdot 20.2)

4535mm² = 1000mm² + (175 \cdot 20.2mm²)

4535 = 1000 + (175 \cdot 20.2)

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Transformed Area of Prestressed Member Solution

Follow our step by step solution on how to calculate Transformed Area of Prestressed Member?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A t = 1000mm² + (175 \cdot 20.2mm²)

Next Step Convert Units

∴

A t = 0.001m² + (175 \cdot 2E-5m²)

Next Step Prepare to Evaluate

∴

A t = 0.001 + (175 \cdot 2E-5)

Next Step Evaluate

∴

A t = 0.004535m²

LAST Step Convert to Output's Unit

∴

A t = 4535mm²

Transformed Area of Prestressed Member Formula Elements

Variables

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

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

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 to find Transformed Area of Prestressed Member

Go Transformed Area of Prestressed Member given Gross Area of Member

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

Other formulas in General Geometric Properties category

Go Area of Concrete Section when Transformed Area is Calculated

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

Go Area of Prestressing Steel given Transformed Area

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

How to Evaluate Transformed Area of Prestressed Member?

Transformed Area of Prestressed Member evaluator uses Transformed Area of Prestressed Member = Transformed Area of Concrete+(Modular Ratio*Area of Prestressing Steel) to evaluate the Transformed Area of Prestressed Member, The Transformed Area of Prestressed Member is defined as the area of the member when steel is substituted by an equivalent area of concrete. Transformed Area of Prestressed Member is denoted by A_t symbol.

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

FAQs on Transformed Area of Prestressed Member

What is the formula to find Transformed Area of Prestressed Member?

The formula of Transformed Area of Prestressed Member is expressed as Transformed Area of Prestressed Member = Transformed Area of Concrete+(Modular Ratio*Area of Prestressing Steel). Here is an example- 4.5E+9 = 0.001+(175*2.02E-05).

How to calculate Transformed Area of Prestressed Member?

With Transformed Area of Concrete (A_T), Modular Ratio (m) & Area of Prestressing Steel (As) we can find Transformed Area of Prestressed Member using the formula - Transformed Area of Prestressed Member = Transformed Area of Concrete+(Modular Ratio*Area of Prestressing Steel).

What are the other ways to Calculate Transformed Area of Prestressed Member?

Here are the different ways to Calculate Transformed Area of Prestressed Member-

Transformed Area of Prestressed Member=Gross Area of Cross-Section+(Modular Ratio-1)*Area of Prestressing Steel

Can the Transformed Area of Prestressed Member be negative?

No, the Transformed Area of Prestressed Member, measured in Area cannot be negative.

Which unit is used to measure Transformed Area of Prestressed Member?

Transformed Area of Prestressed Member 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 Transformed Area of Prestressed Member can be measured.

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Transformed Area of Prestressed Member Formula

​GoTransformed Area of Prestressed Member given Gross Area of Member Formula

Transformed Area of Prestressed Member Example

Transformed Area of Prestressed Member Solution

Transformed Area of Prestressed Member Formula Elements

Other Formulas to find Transformed Area of Prestressed Member

Other formulas in General Geometric Properties category

How to Evaluate Transformed Area of Prestressed Member?

FAQs on Transformed Area of Prestressed Member

Variable Name

GoTransformed Area of Prestressed Member given Gross Area of Member Formula