Gross Area of Concrete given Factored Axial Load on Member Calculator

✖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.ⓘ Factored Load on Member [P_fm]			+10% -10%
✖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.ⓘ Characteristic Compressive Strength [f_ck]			+10% -10%
✖The percentage of compression reinforcement is the amount of structural reinforcement which is designed to carry compressive stresses of total gross area of concrete.ⓘ Percentage of Compression Reinforcement [p]			+10% -10%
✖The Characteristic Strength of Steel Reinforcement is the yield strength of steel.ⓘ Characteristic Strength of Steel Reinforcement [f_y]			+10% -10%

✖Gross area of concrete is defined as total cross sectional area of column including reinforcement.ⓘ Gross Area of Concrete given Factored Axial Load on Member [A_g]

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Gross Area of Concrete given Factored Axial Load on Member Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
A_g = P_fm/(0.4*f_ck+(p/100)*(0.67*f_y-0.4*f_ck))
This formula uses 5 Variables

Variables Used

Gross Area of Concrete - (Measured in Square Millimeter) - Gross area of concrete is defined as total cross sectional area of column including reinforcement.
Factored Load on Member - (Measured in Kilonewton) - 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.
Characteristic Compressive Strength - (Measured in Megapascal) - 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.
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.
Characteristic Strength of Steel Reinforcement - (Measured in Megapascal) - The Characteristic Strength of Steel Reinforcement is the yield strength of steel.

STEP 1: Convert Input(s) to Base Unit

Factored Load on Member: 555.878 Kilonewton --> 555.878 Kilonewton No Conversion Required
Characteristic Compressive Strength: 20 Megapascal --> 20 Megapascal No Conversion Required
Percentage of Compression Reinforcement: 2 --> No Conversion Required
Characteristic Strength of Steel Reinforcement: 450 Megapascal --> 450 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_g = P_fm/(0.4*f_ck+(p/100)*(0.67*f_y-0.4*f_ck)) --> 555.878/(0.4*20+(2/100)*(0.67*450-0.4*20))

Evaluating ... ...

A_g = 40.0777217015141

STEP 3: Convert Result to Output's Unit

4.00777217015141E-05 Square Meter -->40.0777217015141 Square Millimeter (Check conversion here)

FINAL ANSWER

40.0777217015141 ≈ 40.07772 Square Millimeter <-- Gross Area of Concrete

(Calculation completed in 00.004 seconds)

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< Short Axially Loaded Tied Columns Calculators

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

LaTeX Go Area of Steel Reinforcement = (Factored Load on Member-0.4*Characteristic Compressive Strength*Area of Concrete)/(0.67*Characteristic Strength of Steel Reinforcement)

Area of Concrete given Factored Axial Load on Member

LaTeX Go Area of Concrete = (Factored Load on Member-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Characteristic Compressive Strength)

Factored Axial Load on Member

LaTeX Go Factored Load on Member = (0.4*Characteristic Compressive Strength*Area of Concrete)+(0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)

Area of Longitudinal Reinforcement given Gross Area of Concrete

LaTeX Go Area of Steel Reinforcement in Compression = Percentage of Compression Reinforcement*Gross Area of Concrete/100

Gross Area of Concrete given Factored Axial Load on Member Formula

LaTeX Go

What is Gross Area of Concrete?

The Gross area of concrete, when the area of longitudinal reinforcement is established, is defined as the total cross-sectional area of the column including reinforcement.

What is Longitudinal Reinforcement?

Longitudinal bars are the vertical bars, which are in the vertical alignment within the column and horizontal alignment in the slab and beam. They resist bending forces in beam, axial compression in the column and bending stress in slab.

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

Gross Area of Concrete given Factored Axial Load on Member calculator 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 calculate 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 calculate Gross Area of Concrete given Factored Axial Load on Member using this online calculator? To use this online calculator 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. Here is how the Gross Area of Concrete given Factored Axial Load on Member calculation can be explained with given input values -> 4E+7 = 555878/(0.4*20000000+(2/100)*(0.67*450000000-0.4*20000000)).

FAQ

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

The Gross Area of Concrete given Factored Axial Load on Member formula is defined as the total cross sectional area of column including reinforcement and is represented as A_g = P_fm/(0.4*f_ck+(p/100)*(0.67*f_y-0.4*f_ck)) or 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)). 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, 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, The percentage of compression reinforcement is the amount of structural reinforcement which is designed to carry compressive stresses of total gross area of concrete & The Characteristic Strength of Steel Reinforcement is the yield strength of steel.

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

The Gross Area of Concrete given Factored Axial Load on Member formula is defined as the total cross sectional area of column including reinforcement is calculated using 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 calculate Gross Area of Concrete given Factored Axial Load on Member, you need Factored Load on Member (P_fm), Characteristic Compressive Strength (f_ck), Percentage of Compression Reinforcement (p) & Characteristic Strength of Steel Reinforcement (f_y). With our tool, you need to enter the respective value for Factored Load on Member, Characteristic Compressive Strength, Percentage of Compression Reinforcement & Characteristic Strength of Steel Reinforcement and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Gross Area of Concrete?

In this formula, Gross Area of Concrete uses Factored Load on Member, Characteristic Compressive Strength, Percentage of Compression Reinforcement & Characteristic Strength of Steel Reinforcement. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))

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