Gross Area of concrete given Area of Longitudinal Reinforcement Calculator

✖Area of steel reinforcement in compression is the equivalent concrete area of compression steel.ⓘ Area of Steel Reinforcement in Compression [A_sc]			+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 Longitudinal Reinforcement [A_g]

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Gross Area of concrete given Area of Longitudinal Reinforcement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gross Area of Concrete = 100*Area of Steel Reinforcement in Compression/Percentage of Compression Reinforcement
A_g = 100*A_sc/p
This formula uses 3 Variables

Variables Used

Gross Area of Concrete - (Measured in Square Meter) - Gross area of concrete is defined as total cross sectional area of column including reinforcement.
Area of Steel Reinforcement in Compression - (Measured in Square Meter) - Area of steel reinforcement in compression is the equivalent concrete area of compression steel.
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 Steel Reinforcement in Compression: 30 Square Millimeter --> 3E-05 Square Meter (Check conversion here)
Percentage of Compression Reinforcement: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_g = 100*A_sc/p --> 100*3E-05/2

Evaluating ... ...

A_g = 0.0015

STEP 3: Convert Result to Output's Unit

0.0015 Square Meter -->1500 Square Millimeter (Check conversion here)

FINAL ANSWER

1500 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 Area of Longitudinal Reinforcement Formula

LaTeX Go

Gross Area of Concrete = 100*Area of Steel Reinforcement in Compression/Percentage of Compression Reinforcement
A_g = 100*A_sc/p

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.

what is Gross Area of Concrete?

Gross area of concrete can defined as total area of concrete including reinforcement. It is generally the area of cross section of beam or column.

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

Gross Area of concrete given Area of Longitudinal Reinforcement calculator uses Gross Area of Concrete = 100*Area of Steel Reinforcement in Compression/Percentage of Compression Reinforcement to calculate 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 calculate Gross Area of concrete given Area of Longitudinal Reinforcement using this online calculator? To use this online calculator 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. Here is how the Gross Area of concrete given Area of Longitudinal Reinforcement calculation can be explained with given input values -> 1.5E+9 = 100*3E-05/2.

FAQ

What is Gross Area of concrete given Area of Longitudinal Reinforcement?

The Gross Area of concrete given Area of Longitudinal Reinforcement is defined as the total cross-sectional area of the column including reinforcement and is represented as A_g = 100*A_sc/p or Gross Area of Concrete = 100*Area of Steel Reinforcement in Compression/Percentage of Compression Reinforcement. Area of steel reinforcement in compression is the equivalent concrete area of compression steel & 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 Longitudinal Reinforcement?

The Gross Area of concrete given Area of Longitudinal Reinforcement is defined as the total cross-sectional area of the column including reinforcement is calculated using Gross Area of Concrete = 100*Area of Steel Reinforcement in Compression/Percentage of Compression Reinforcement. To calculate Gross Area of concrete given Area of Longitudinal Reinforcement, you need Area of Steel Reinforcement in Compression (A_sc) & Percentage of Compression Reinforcement (p). With our tool, you need to enter the respective value for Area of Steel Reinforcement in Compression & 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 Steel Reinforcement in Compression & Percentage of Compression Reinforcement. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))

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