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Gross Area of concrete given Area of Longitudinal Reinforcement Formula

GoGross Area of Concrete given Area of Concrete Formula

GoGross Area of Concrete given Factored Axial Load on Member Formula

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Gross area of concrete is defined as total cross sectional area of column including reinforcement. Check FAQs

A g = 100 \cdot \frac{A sc}{p}

A_g - Gross Area of Concrete?A_sc - Area of Steel Reinforcement in Compression?p - Percentage of Compression Reinforcement?

Gross Area of concrete given Area of Longitudinal Reinforcement Example

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Here is how the Gross Area of concrete given Area of Longitudinal Reinforcement equation looks like with Values.

Here is how the Gross Area of concrete given Area of Longitudinal Reinforcement equation looks like with Units.

Here is how the Gross Area of concrete given Area of Longitudinal Reinforcement equation looks like.

1500 = 100 \cdot \frac{30}{2}

1500mm² = 100 \cdot \frac{30mm²}{2}

1500 = 100 \cdot \frac{30}{2}

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Gross Area of concrete given Area of Longitudinal Reinforcement Solution

Follow our step by step solution on how to calculate Gross Area of concrete given Area of Longitudinal Reinforcement?

FIRST Step Consider the formula

A g = 100 \cdot \frac{A sc}{p}

Next Step Substitute values of Variables

∴

A g = 100 \cdot \frac{30mm²}{2}

Next Step Convert Units

∴

A g = 100 \cdot \frac{3E-5m²}{2}

Next Step Prepare to Evaluate

∴

A g = 100 \cdot \frac{3E-5}{2}

Next Step Evaluate

∴

A g = 0.0015m²

LAST Step Convert to Output's Unit

∴

A g = 1500mm²

Gross Area of concrete given Area of Longitudinal Reinforcement Formula Elements

Variables

Gross Area of Concrete

Gross area of concrete is defined as total cross sectional area of column including reinforcement.

Symbol: A_g

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Gross Area of Concrete

Area of Steel Reinforcement in Compression

Area of steel reinforcement in compression is the equivalent concrete area of compression steel.

Symbol: A_sc

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Steel Reinforcement in Compression

Percentage of Compression Reinforcement

The percentage of compression reinforcement is the amount of structural reinforcement which is designed to carry compressive stresses of total gross area of concrete.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Percentage of Compression Reinforcement

Other Formulas to find Gross Area of Concrete

Go Gross Area of Concrete given Area of Concrete

A g = \frac{A c}{1 - (\frac{p}{100})}

Go Gross Area of Concrete given Factored Axial Load on Member

A g = \frac{P fm}{0.4 \cdot f ck + (\frac{p}{100}) \cdot (0.67 \cdot f y - 0.4 \cdot f ck)}

Other formulas in Short Axially Loaded Tied Columns category

Go Factored Axial Load on Member

P fm = (0.4 \cdot f ck \cdot A c) + (0.67 \cdot f y \cdot A st)

Go Area of Concrete given Factored Axial Load on Member

A c = \frac{P fm - 0.67 \cdot f y \cdot A st}{0.4 \cdot f ck}

Go Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member

A st = \frac{P fm - 0.4 \cdot f ck \cdot A c}{0.67 \cdot f y}

Go Area of Longitudinal Reinforcement given Gross Area of Concrete

A sc = p \cdot \frac{A g}{100}

How to Evaluate Gross Area of concrete given Area of Longitudinal Reinforcement?

Gross Area of concrete given Area of Longitudinal Reinforcement evaluator uses Gross Area of Concrete = 100*Area of Steel Reinforcement in Compression/Percentage of Compression Reinforcement to evaluate the Gross Area of Concrete, The Gross Area of concrete given Area of Longitudinal Reinforcement is defined as the total cross-sectional area of the column including reinforcement. Gross Area of Concrete is denoted by A_g symbol.

How to evaluate Gross Area of concrete given Area of Longitudinal Reinforcement using this online evaluator? To use this online evaluator for Gross Area of concrete given Area of Longitudinal Reinforcement, enter Area of Steel Reinforcement in Compression (A_sc) & Percentage of Compression Reinforcement (p) and hit the calculate button.

FAQs on Gross Area of concrete given Area of Longitudinal Reinforcement

What is the formula to find Gross Area of concrete given Area of Longitudinal Reinforcement?

The formula of Gross Area of concrete given Area of Longitudinal Reinforcement is expressed as Gross Area of Concrete = 100*Area of Steel Reinforcement in Compression/Percentage of Compression Reinforcement. Here is an example- 1.5E+9 = 100*3E-05/2.

How to calculate Gross Area of concrete given Area of Longitudinal Reinforcement?

With Area of Steel Reinforcement in Compression (A_sc) & Percentage of Compression Reinforcement (p) we can find Gross Area of concrete given Area of Longitudinal Reinforcement using the formula - Gross Area of Concrete = 100*Area of Steel Reinforcement in Compression/Percentage of Compression Reinforcement.

What are the other ways to Calculate Gross Area of Concrete?

Here are the different ways to Calculate Gross Area of Concrete-

Gross Area of Concrete=Area of Concrete/(1-(Percentage of Compression Reinforcement/100))
Gross Area of Concrete=Factored Load on Member/(0.4*Characteristic Compressive Strength+(Percentage of Compression Reinforcement/100)*(0.67*Characteristic Strength of Steel Reinforcement-0.4*Characteristic Compressive Strength))

Can the Gross Area of concrete given Area of Longitudinal Reinforcement be negative?

No, the Gross Area of concrete given Area of Longitudinal Reinforcement, measured in Area cannot be negative.

Which unit is used to measure Gross Area of concrete given Area of Longitudinal Reinforcement?

Gross Area of concrete given Area of Longitudinal Reinforcement 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 Gross Area of concrete given Area of Longitudinal Reinforcement can be measured.

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Gross Area of concrete given Area of Longitudinal Reinforcement Formula

​GoGross Area of Concrete given Area of Concrete Formula

​GoGross Area of Concrete given Factored Axial Load on Member Formula

Gross Area of concrete given Area of Longitudinal Reinforcement Example

Gross Area of concrete given Area of Longitudinal Reinforcement Solution

Gross Area of concrete given Area of Longitudinal Reinforcement Formula Elements

Other Formulas to find Gross Area of Concrete

Other formulas in Short Axially Loaded Tied Columns category

How to Evaluate Gross Area of concrete given Area of Longitudinal Reinforcement?

FAQs on Gross Area of concrete given Area of Longitudinal Reinforcement

Variable Name

GoGross Area of Concrete given Area of Concrete Formula

GoGross Area of Concrete given Factored Axial Load on Member Formula