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Area of Prestressing Steel given Transformed Area Formula

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

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

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

Area of Prestressing Steel given Transformed Area Example

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Here is how the Area of Prestressing Steel given Transformed Area equation looks like with Values.

Here is how the Area of Prestressing Steel given Transformed Area equation looks like with Units.

Here is how the Area of Prestressing Steel given Transformed Area equation looks like.

20.0008 = \frac{4500.14 - 1000}{175}

20.0008mm² = \frac{4500.14mm² - 1000mm²}{175}

20.0008 = \frac{4500.14 - 1000}{175}

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Area of Prestressing Steel given Transformed Area Solution

Follow our step by step solution on how to calculate Area of Prestressing Steel given Transformed Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

As = \frac{4500.14mm² - 1000mm²}{175}

Next Step Convert Units

∴

As = \frac{0.0045m² - 0.001m²}{175}

Next Step Prepare to Evaluate

∴

As = \frac{0.0045 - 0.001}{175}

Next Step Evaluate

∴

As = 2.00008E-05m²

LAST Step Convert to Output's Unit

∴

As = 20.0008mm²

Area of Prestressing Steel given Transformed Area Formula Elements

Variables

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

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

Other formulas in General Geometric Properties category

Go Transformed Area of Prestressed Member

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

Go Area of Concrete Section when Transformed Area is Calculated

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

Go Transformed Area of Prestressed Member given Gross Area of Member

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

How to Evaluate Area of Prestressing Steel given Transformed Area?

Area of Prestressing Steel given Transformed Area evaluator uses Area of Prestressing Steel = (Transformed Area of Prestressed Member-Transformed Area of Concrete)/Modular Ratio to evaluate the Area of Prestressing Steel, The Area of Prestressing Steel given Transformed Area is defined as the total cross-sectional area of tendons. Area of Prestressing Steel is denoted by As symbol.

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

FAQs on Area of Prestressing Steel given Transformed Area

What is the formula to find Area of Prestressing Steel given Transformed Area?

The formula of Area of Prestressing Steel given Transformed Area is expressed as Area of Prestressing Steel = (Transformed Area of Prestressed Member-Transformed Area of Concrete)/Modular Ratio. Here is an example- 2E+7 = (0.00450014-0.001)/175.

How to calculate Area of Prestressing Steel given Transformed Area?

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

Can the Area of Prestressing Steel given Transformed Area be negative?

No, the Area of Prestressing Steel given Transformed Area, measured in Area cannot be negative.

Which unit is used to measure Area of Prestressing Steel given Transformed Area?

Area of Prestressing Steel given Transformed Area 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 Prestressing Steel given Transformed Area can be measured.

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Area of Prestressing Steel given Transformed Area Formula

Area of Prestressing Steel given Transformed Area Example

Area of Prestressing Steel given Transformed Area Solution

Area of Prestressing Steel given Transformed Area Formula Elements

Other formulas in General Geometric Properties category

How to Evaluate Area of Prestressing Steel given Transformed Area?

FAQs on Area of Prestressing Steel given Transformed Area

Variable Name