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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
At=Ag+(m-1)⋅As
At - Transformed Area of Prestressed Member?Ag - Gross Area of Cross-Section?m - Modular Ratio?As - Area of Prestressing Steel?

Transformed Area of Prestressed Member given Gross Area of Member Example

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With units
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Here is how the Transformed Area of Prestressed Member given Gross Area of Member equation looks like with Values.

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

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

4534.8Edit=1020Edit+(175Edit-1)⋅20.2Edit
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Transformed Area of Prestressed Member given Gross Area of Member Solution

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

FIRST Step Consider the formula
At=Ag+(m-1)⋅As
Next Step Substitute values of Variables
∴ At=1020mm²+(175-1)⋅20.2mm²
Next Step Convert Units
∴ At=0.001m²+(175-1)⋅2E-5m²
Next Step Prepare to Evaluate
∴ At=0.001+(175-1)⋅2E-5
Next Step Evaluate
∴At=0.0045348m²
LAST Step Convert to Output's Unit
∴At=4534.8mm²

Transformed Area of Prestressed Member given Gross Area of 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: At
Measurement: AreaUnit: mm²
Note: Value should be greater than 0.
Formulas to find Transformed Area of Prestressed MemberOpen Variable
Gross Area of Cross-Section
The Gross Area of Cross-Section is defined as the total area of a section perpendicular to the direction of the load.
Symbol: Ag
Measurement: AreaUnit: mm²
Note: Value should be greater than 0.
Formulas to find Gross Area of Cross-SectionOpen Variable
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 RatioOpen Variable
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 SteelOpen Variable

Other Formulas to find Transformed Area of Prestressed Member

​Go Transformed Area of Prestressed Member
At=AT+(m⋅As)

Other formulas in General Geometric Properties category

​Go Area of Concrete Section when Transformed Area is Calculated
AT=At-(m⋅As)
​Go Area of Prestressing Steel given Transformed Area
As=At-ATm

How to Evaluate Transformed Area of Prestressed Member given Gross Area of Member?

Transformed Area of Prestressed Member given Gross Area of Member evaluator uses Transformed Area of Prestressed Member = Gross Area of Cross-Section+(Modular Ratio-1)*Area of Prestressing Steel to evaluate the Transformed Area of Prestressed Member, The Transformed Area of Prestressed Member given Gross Area of Member is defined as the equation of area of transformed section when gross area(Ac+Ap) is used. Transformed Area of Prestressed Member is denoted by At symbol.

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

FAQs on Transformed Area of Prestressed Member given Gross Area of Member

What is the formula to find Transformed Area of Prestressed Member given Gross Area of Member?
The formula of Transformed Area of Prestressed Member given Gross Area of Member is expressed as Transformed Area of Prestressed Member = Gross Area of Cross-Section+(Modular Ratio-1)*Area of Prestressing Steel. Here is an example- 4.5E+9 = 0.00102+(175-1)*2.02E-05.
How to calculate Transformed Area of Prestressed Member given Gross Area of Member?
With Gross Area of Cross-Section (Ag), Modular Ratio (m) & Area of Prestressing Steel (As) we can find Transformed Area of Prestressed Member given Gross Area of Member using the formula - Transformed Area of Prestressed Member = Gross Area of Cross-Section+(Modular Ratio-1)*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=Transformed Area of Concrete+(Modular Ratio*Area of Prestressing Steel)OpenImg
Can the Transformed Area of Prestressed Member given Gross Area of Member be negative?
No, the Transformed Area of Prestressed Member given Gross Area of Member, measured in Area cannot be negative.
Which unit is used to measure Transformed Area of Prestressed Member given Gross Area of Member?
Transformed Area of Prestressed Member given Gross Area of 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 given Gross Area of Member can be measured.
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