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]

⎘ Copy

👎

Formula

✖

Gross Area of concrete given Area of Longitudinal Reinforcement

Formula

`"A"_{"g"} = 100*"A"_{"sc"}/"p"`

Example

`"1500mm²"=100*"30mm²"/"2"`

Calculator

LaTeX

Reset

👍

Download Short Axially Loaded Columns with Helical Ties Formulas PDF

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 00.020 seconds)

You are here -

Home » Engineering » Civil » Columns » Short Axially Loaded Columns with Helical Ties » Short Axially Loaded Tied Columns » Gross Area of concrete given Area of Longitudinal Reinforcement

Credits

Created by krupa sheela pattapu

Acharya Nagarjuna University College of Engg & Technology (ANU), Guntur

krupa sheela pattapu has created this Calculator and 25+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 9 Short Axially Loaded Tied Columns Calculators

Factored Axial Load on Member given Gross Area of Concrete

Go 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))*Gross Area of Concrete

Gross Area of Concrete given Factored Axial Load on Member

Go 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))

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

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

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

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

Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement

Go Percentage of Compression Reinforcement = Area of Steel Reinforcement in Compression/(Gross Area of Concrete/100)

Area of Longitudinal Reinforcement given Gross Area of Concrete

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

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

Gross Area of Concrete given Area of Concrete

Go Gross Area of Concrete = Area of Concrete/(1-(Percentage of Compression Reinforcement/100))

Gross Area of concrete given Area of Longitudinal Reinforcement Formula

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))

Home

FREE PDFs

🔍 Search