Percentage of Compression Reinforcement 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%
✖Gross area of concrete is defined as total cross sectional area of column including reinforcement.ⓘ Gross Area of Concrete [A_g]			+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 given Area of Longitudinal Reinforcement [p]

⎘ Copy

👎

Formula

✖

Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement

Formula

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

Example

`"2"="30mm²"/("1500mm²"/100)`

Calculator

LaTeX

Reset

👍

Download Short Axially Loaded Columns with Helical Ties Formulas PDF

Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Area of Steel Reinforcement in Compression - (Measured in Square Meter) - Area of steel reinforcement in compression is the equivalent concrete area of compression steel.
Gross Area of Concrete - (Measured in Square Meter) - Gross area of concrete is defined as total cross sectional area of column including reinforcement.

STEP 1: Convert Input(s) to Base Unit

Area of Steel Reinforcement in Compression: 30 Square Millimeter --> 3E-05 Square Meter (Check conversion here)
Gross Area of Concrete: 1500 Square Millimeter --> 0.0015 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = A_sc/(A_g/100) --> 3E-05/(0.0015/100)

Evaluating ... ...

p = 2

STEP 3: Convert Result to Output's Unit

2 --> No Conversion Required

FINAL ANSWER

2 <-- Percentage of Compression Reinforcement

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

Ayush Singh has created this Calculator and 50+ 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))

Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement Formula

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

What is the Reinforcement in Compression Zone?

The minimum steel used as reinforcement in doubly reinforced concrete in the compression zone. From the practical aspects of consideration, therefore, the minimum steel as compression reinforcement should be at least 0.4% of the area of concrete in compression or 0.2% of the whole cross-sectional area of the beam so that the doubly reinforced beam can take care of the extra loads.

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 Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement?

Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement calculator uses Percentage of Compression Reinforcement = Area of Steel Reinforcement in Compression/(Gross Area of Concrete/100) to calculate the Percentage of Compression Reinforcement, The Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement formula is defined as the ratio of steel reinforcement in the compression zone to the gross area of concrete represented in terms of percentage. Percentage of Compression Reinforcement is denoted by p symbol.

How to calculate Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement using this online calculator? To use this online calculator for Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement, enter Area of Steel Reinforcement in Compression (A_sc) & Gross Area of Concrete (A_g) and hit the calculate button. Here is how the Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement calculation can be explained with given input values -> 2 = 3E-05/(0.0015/100).

FAQ

What is Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement?

The Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement formula is defined as the ratio of steel reinforcement in the compression zone to the gross area of concrete represented in terms of percentage and is represented as p = A_sc/(A_g/100) or Percentage of Compression Reinforcement = Area of Steel Reinforcement in Compression/(Gross Area of Concrete/100). Area of steel reinforcement in compression is the equivalent concrete area of compression steel & Gross area of concrete is defined as total cross sectional area of column including reinforcement.

How to calculate Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement?

The Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement formula is defined as the ratio of steel reinforcement in the compression zone to the gross area of concrete represented in terms of percentage is calculated using Percentage of Compression Reinforcement = Area of Steel Reinforcement in Compression/(Gross Area of Concrete/100). To calculate Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement, you need Area of Steel Reinforcement in Compression (A_sc) & Gross Area of Concrete (A_g). With our tool, you need to enter the respective value for Area of Steel Reinforcement in Compression & Gross Area of Concrete and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search