Percentage of Compression Reinforcement when area of concrete is established Solution

STEP 0: Pre-Calculation Summary
Formula Used
Percentage of compression reinforcement = 100*(1-(Area of concrete/Gross area of concrete))
p = 100*(1-(Ac/Ag))
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 concrete - (Measured in Square Meter) - Area of concrete is defined as concrete area in beam or column excluding reinforcement.
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 concrete: 1000 Square Millimeter --> 0.001 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 = 100*(1-(Ac/Ag)) --> 100*(1-(0.001/0.0015))
Evaluating ... ...
p = 33.3333333333333
STEP 3: Convert Result to Output's Unit
33.3333333333333 --> No Conversion Required
FINAL ANSWER
33.3333333333333 <-- Percentage of compression reinforcement
(Calculation completed in 00.016 seconds)

Credits

Created by Pranav More
Vellore Institute of Technology, Vellore (VIT, Vellore), Vellore
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10+ Short Axially Loaded Tied Columns Calculators

Factored Axial Load on the Member in terms of gross area of concrete
Factored axial load = (0.4*Characteristic compressive strength+(Percentage of compression reinforcement/100)*(0.67*Characteristic strength compressive reinforcement-0.4*Characteristic compressive strength))*Gross area of concrete Go
Area of longitudinal reinforcement for columns given factored axial load on member
Area of longitudinal reinforcement for columns = (Factored axial load-0.4*Characteristic compressive strength*Area of concrete)/(0.67*Yield Strength of Reinforcement) Go
Area of concrete when factored axial load on member is established
Area of concrete = (Factored axial load-0.67*Yield strength of steel*Area of longitudinal reinforcement for columns)/(0.4*Characteristic compressive strength) Go
Factored Axial Load on the Member
Factored axial load = (0.4*Characteristic compressive strength*Area of concrete)+(0.67*Yield strength of steel*Area of longitudinal reinforcement for columns) Go
Percentage of compression reinforcement given area of longitudinal reinforcement
Percentage of compression reinforcement = Area of steel reinforcement in compression/(Gross Area of cross-section/100) Go
Gross area of concrete when area of longitudinal reinforcement is established
Gross area of column = 100*Area of longitudinal reinforcement for columns/Percentage of compression reinforcement Go
Area of longitudinal reinforcement in terms of gross area of concrete
Area of longitudinal reinforcement for columns = Percentage of compression reinforcement*Gross area of column/100 Go
Percentage of Compression Reinforcement when area of concrete is established
Percentage of compression reinforcement = 100*(1-(Area of concrete/Gross area of concrete)) Go
The Gross Area of Concrete when area of concrete is established
Gross area of concrete = Area of concrete/(1-(Percentage of compression reinforcement/100)) Go
Area of concrete in terms of the gross area of concrete
Area of concrete = Gross area of concrete*(1-(Percentage of compression reinforcement/100)) Go

Percentage of Compression Reinforcement when area of concrete is established Formula

Percentage of compression reinforcement = 100*(1-(Area of concrete/Gross area of concrete))
p = 100*(1-(Ac/Ag))

What is the effect of compression reinforcement?

An important factor that improves the ductility is the presence of rebars in the compression zone. A significant increase in ductility ratio is obvious with increase in amount of compression reinforcement. It is worth noting that increase in moment capacity is not significant. This is due to the fact that moment capacity is based on the tensile yield strength of the steel in rebars, whereas the ductility is affected by the ductile nature of the steel material.

How to Calculate Percentage of Compression Reinforcement when area of concrete is established?

Percentage of Compression Reinforcement when area of concrete is established calculator uses Percentage of compression reinforcement = 100*(1-(Area of concrete/Gross area of concrete)) to calculate the Percentage of compression reinforcement, The Percentage of Compression Reinforcement when area of concrete is established formula is defined as ratio of steel reinforcement in compression zone to the gross area of concrete. Percentage of compression reinforcement is denoted by p symbol.

How to calculate Percentage of Compression Reinforcement when area of concrete is established using this online calculator? To use this online calculator for Percentage of Compression Reinforcement when area of concrete is established, enter Area of concrete (Ac) & Gross area of concrete (Ag) and hit the calculate button. Here is how the Percentage of Compression Reinforcement when area of concrete is established calculation can be explained with given input values -> 33.33333 = 100*(1-(0.001/0.0015)).

FAQ

What is Percentage of Compression Reinforcement when area of concrete is established?
The Percentage of Compression Reinforcement when area of concrete is established formula is defined as ratio of steel reinforcement in compression zone to the gross area of concrete and is represented as p = 100*(1-(Ac/Ag)) or Percentage of compression reinforcement = 100*(1-(Area of concrete/Gross area of concrete)). Area of concrete is defined as concrete area in beam or column excluding reinforcement & Gross area of concrete is defined as total cross sectional area of column including reinforcement.
How to calculate Percentage of Compression Reinforcement when area of concrete is established?
The Percentage of Compression Reinforcement when area of concrete is established formula is defined as ratio of steel reinforcement in compression zone to the gross area of concrete is calculated using Percentage of compression reinforcement = 100*(1-(Area of concrete/Gross area of concrete)). To calculate Percentage of Compression Reinforcement when area of concrete is established, you need Area of concrete (Ac) & Gross area of concrete (Ag). With our tool, you need to enter the respective value for Area of concrete & 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.
How many ways are there to calculate Percentage of compression reinforcement?
In this formula, Percentage of compression reinforcement uses Area of concrete & Gross area of concrete. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Percentage of compression reinforcement = Area of steel reinforcement in compression/(Gross Area of cross-section/100)
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