Gross Area of Concrete given Area of Concrete Calculator

✖The Area of Concrete is defined as the concrete area in a beam or column excluding the area of reinforcement.ⓘ Area of Concrete [A_c]			+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%

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

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Gross Area of Concrete given Area of Concrete Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gross Area of Concrete = Area of Concrete/(1-(Percentage of Compression Reinforcement/100))
A_g = A_c/(1-(p/100))
This formula uses 3 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.
Area of Concrete - (Measured in Square Millimeter) - The Area of Concrete is defined as the concrete area in a beam or column excluding the area of reinforcement.
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.

STEP 1: Convert Input(s) to Base Unit

Area of Concrete: 52450 Square Millimeter --> 52450 Square Millimeter No Conversion Required
Percentage of Compression Reinforcement: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_g = A_c/(1-(p/100)) --> 52450/(1-(2/100))

Evaluating ... ...

A_g = 53520.4081632653

STEP 3: Convert Result to Output's Unit

0.0535204081632653 Square Meter -->53520.4081632653 Square Millimeter (Check conversion here)

FINAL ANSWER

53520.4081632653 ≈ 53520.41 Square Millimeter <-- Gross Area of Concrete

(Calculation completed in 00.004 seconds)

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Created by Pranav More

Vellore Institute of Technology, Vellore (VIT, Vellore), Vellore

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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 Area of Concrete Formula

LaTeX Go

Gross Area of Concrete = Area of Concrete/(1-(Percentage of Compression Reinforcement/100))
A_g = A_c/(1-(p/100))

What is gross area of concrete?

The Gross Area of Concrete is defined as the total cross-sectional area of the column including reinforcement.

What is Longitudinal Reinforcement & Min and Max percentage of Longitudinal Reinforcement?

Longitudinal bars are vertical bars, which are in the vertical alignment within the column and horizontal alignment in the slab and beam. They resist bending forces in the beam, axial compression in the column and bending stress in slab.
The longitudinal reinforcement is provided to resist bending forces in the beam, axial compression in the column and bending stress in the slab. the percentage of longitudinal reinforcement should be a min of 0.8 per cent of the gross area and a maximum of 4 per cent of the gross area.

How to Calculate Gross Area of Concrete given Area of Concrete?

Gross Area of Concrete given Area of Concrete calculator uses Gross Area of Concrete = Area of Concrete/(1-(Percentage of Compression Reinforcement/100)) to calculate the Gross Area of Concrete, The Gross Area of Concrete given Area of Concrete formula is defined as 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 Area of Concrete using this online calculator? To use this online calculator for Gross Area of Concrete given Area of Concrete, enter Area of Concrete (A_c) & Percentage of Compression Reinforcement (p) and hit the calculate button. Here is how the Gross Area of Concrete given Area of Concrete calculation can be explained with given input values -> 5.4E+10 = 0.05245/(1-(2/100)).

FAQ

What is Gross Area of Concrete given Area of Concrete?

The Gross Area of Concrete given Area of Concrete formula is defined as total cross sectional area of column including reinforcement and is represented as A_g = A_c/(1-(p/100)) or Gross Area of Concrete = Area of Concrete/(1-(Percentage of Compression Reinforcement/100)). The Area of Concrete is defined as the concrete area in a beam or column excluding the area of 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.

How to calculate Gross Area of Concrete given Area of Concrete?

The Gross Area of Concrete given Area of Concrete formula is defined as total cross sectional area of column including reinforcement is calculated using Gross Area of Concrete = Area of Concrete/(1-(Percentage of Compression Reinforcement/100)). To calculate Gross Area of Concrete given Area of Concrete, you need Area of Concrete (A_c) & Percentage of Compression Reinforcement (p). With our tool, you need to enter the respective value for Area of Concrete & Percentage of Compression 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 Area of Concrete & Percentage of Compression 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 = 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))

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