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Gross Area of Concrete given Factored Axial Load on Member Formula

GoGross Area of concrete given Area of Longitudinal Reinforcement Formula

GoGross Area of Concrete given Area of Concrete Formula

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

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

A_g - Gross Area of Concrete?P_fm - Factored Load on Member?f_ck - Characteristic Compressive Strength?p - Percentage of Compression Reinforcement?f_y - Characteristic Strength of Steel Reinforcement?

Gross Area of Concrete given Factored Axial Load on Member Example

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Here is how the Gross Area of Concrete given Factored Axial Load on Member equation looks like with Values.

Here is how the Gross Area of Concrete given Factored Axial Load on Member equation looks like with Units.

Here is how the Gross Area of Concrete given Factored Axial Load on Member equation looks like.

40.0777 = \frac{555.878}{0.4 \cdot 20 + (\frac{2}{100}) \cdot (0.67 \cdot 450 - 0.4 \cdot 20)}

40.0777mm² = \frac{555.878kN}{0.4 \cdot 20MPa + (\frac{2}{100}) \cdot (0.67 \cdot 450MPa - 0.4 \cdot 20MPa)}

40.0777 = \frac{555.878}{0.4 \cdot 20 + (\frac{2}{100}) \cdot (0.67 \cdot 450 - 0.4 \cdot 20)}

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Gross Area of Concrete given Factored Axial Load on Member Solution

Follow our step by step solution on how to calculate Gross Area of Concrete given Factored Axial Load on Member?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A g = \frac{555.878kN}{0.4 \cdot 20MPa + (\frac{2}{100}) \cdot (0.67 \cdot 450MPa - 0.4 \cdot 20MPa)}

Next Step Prepare to Evaluate

∴

A g = \frac{555.878}{0.4 \cdot 20 + (\frac{2}{100}) \cdot (0.67 \cdot 450 - 0.4 \cdot 20)}

Next Step Evaluate

∴

A g = 4.00777217015141E-05m²

Next Step Convert to Output's Unit

∴

A g = 40.0777217015141mm²

LAST Step Rounding Answer

∴

A g = 40.0777mm²

Gross Area of Concrete given Factored Axial Load on Member 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

Factored Load on Member

Factored Load on Member is the specific factor designated by codes of practice to determine the strength of a structural member such as reinforced concrete.

Symbol: P_fm

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Factored Load on Member

Characteristic Compressive Strength

The Characteristic Compressive Strength is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall.

Symbol: f_ck

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Characteristic Compressive Strength

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

Characteristic Strength of Steel Reinforcement

The Characteristic Strength of Steel Reinforcement is the yield strength of steel.

Symbol: f_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Characteristic Strength of Steel Reinforcement

Other Formulas to find Gross Area of Concrete

Go Gross Area of concrete given Area of Longitudinal Reinforcement

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

Go Gross Area of Concrete given Area of Concrete

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

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 Factored Axial Load on Member?

Gross Area of Concrete given Factored Axial Load on Member evaluator uses 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)) to evaluate the Gross Area of Concrete, The Gross Area of Concrete given Factored Axial Load on Member formula is defined as the total cross sectional area of column including reinforcement. Gross Area of Concrete is denoted by A_g symbol.

How to evaluate Gross Area of Concrete given Factored Axial Load on Member using this online evaluator? To use this online evaluator for Gross Area of Concrete given Factored Axial Load on Member, enter Factored Load on Member (P_fm), Characteristic Compressive Strength (f_ck), Percentage of Compression Reinforcement (p) & Characteristic Strength of Steel Reinforcement (f_y) and hit the calculate button.

FAQs on Gross Area of Concrete given Factored Axial Load on Member

What is the formula to find Gross Area of Concrete given Factored Axial Load on Member?

The formula of Gross Area of Concrete given Factored Axial Load on Member is expressed as 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)). Here is an example- 4E+7 = 555878/(0.4*20000000+(2/100)*(0.67*450000000-0.4*20000000)).

How to calculate Gross Area of Concrete given Factored Axial Load on Member?

With Factored Load on Member (P_fm), Characteristic Compressive Strength (f_ck), Percentage of Compression Reinforcement (p) & Characteristic Strength of Steel Reinforcement (f_y) we can find Gross Area of Concrete given Factored Axial Load on Member using the formula - 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)).

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=100*Area of Steel Reinforcement in Compression/Percentage of Compression Reinforcement
Gross Area of Concrete=Area of Concrete/(1-(Percentage of Compression Reinforcement/100))

Can the Gross Area of Concrete given Factored Axial Load on Member be negative?

No, the Gross Area of Concrete given Factored Axial Load on Member, measured in Area cannot be negative.

Which unit is used to measure Gross Area of Concrete given Factored Axial Load on Member?

Gross Area of Concrete given Factored Axial Load on 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 Gross Area of Concrete given Factored Axial Load on Member can be measured.

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Gross Area of Concrete given Factored Axial Load on Member Formula

​GoGross Area of concrete given Area of Longitudinal Reinforcement Formula

​GoGross Area of Concrete given Area of Concrete Formula

Gross Area of Concrete given Factored Axial Load on Member Example

Gross Area of Concrete given Factored Axial Load on Member Solution

Gross Area of Concrete given Factored Axial Load on Member 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 Factored Axial Load on Member?

FAQs on Gross Area of Concrete given Factored Axial Load on Member

Variable Name

GoGross Area of concrete given Area of Longitudinal Reinforcement Formula

GoGross Area of Concrete given Area of Concrete Formula