## Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Steel Reinforcement = (((Factored Load)/(1.05))-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Characteristic Strength of Steel Reinforcement)
Ast = (((Pf)/(1.05))-(0.4*fck*Ac))/(0.67*fy)
This formula uses 5 Variables
Variables Used
Area of Steel Reinforcement - (Measured in Square Millimeter) - The area of steel reinforcement for columns or beams is defined as an area of vertical reinforcement which is provided to absorb the bending tensile stresses in the longitudinal direction.
Factored Load - (Measured in Kilonewton) - The factored load is multiplied by a specific factor designated by codes of practice to determine the strength of a structural member such as reinforced concrete.
Characteristic Compressive Strength - (Measured in Megapascal) - The Characteristic Compressive Strength is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall.
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.
Characteristic Strength of Steel Reinforcement - (Measured in Megapascal) - The Characteristic Strength of Steel Reinforcement is the yield strength of steel.
STEP 1: Convert Input(s) to Base Unit
Factored Load: 583672 Kilonewton --> 583672 Kilonewton No Conversion Required
Characteristic Compressive Strength: 20 Megapascal --> 20 Megapascal No Conversion Required
Area of Concrete: 52450 Square Millimeter --> 52450 Square Millimeter No Conversion Required
Characteristic Strength of Steel Reinforcement: 450 Megapascal --> 450 Megapascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ast = (((Pf)/(1.05))-(0.4*fck*Ac))/(0.67*fy) --> (((583672)/(1.05))-(0.4*20*52450))/(0.67*450)
Evaluating ... ...
Ast = 452.000315880913
STEP 3: Convert Result to Output's Unit
0.000452000315880913 Square Meter -->452.000315880913 Square Millimeter (Check conversion ​here)
452.000315880913 452.0003 Square Millimeter <-- Area of Steel Reinforcement
(Calculation completed in 00.004 seconds)
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## <Short Axially Loaded Columns with Helical Ties Calculators

Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns
​ Go Characteristic Strength of Steel Reinforcement = ((Factored Load/1.05)-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Area of Steel Reinforcement)
Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns
​ Go Characteristic Compressive Strength = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Area of Concrete)
Area of Concrete given Factored Axial Load
​ Go Area of Concrete = ((Factored Load/1.05)-0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)/(0.4*Characteristic Compressive Strength)
Factored Axial Load on Member of Spiral Columns
​ Go Factored Load = 1.05*(0.4*Characteristic Compressive Strength*Area of Concrete+0.67*Characteristic Strength of Steel Reinforcement*Area of Steel Reinforcement)

## Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns Formula

Area of Steel Reinforcement = (((Factored Load)/(1.05))-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Characteristic Strength of Steel Reinforcement)
Ast = (((Pf)/(1.05))-(0.4*fck*Ac))/(0.67*fy)

## What is Longitudinal Reinforcement?

Longitudinal reinforcement is the absorption of bending tensile stresses in the longitudinal direction of the main support direction of the structural component.

## What is a Factored Load?

Whenever we are designing a RCC SLAB, we will be calculating the dead load and live load. Before finding out the ultimate bending moment, we shall find out the total of 1.5 DL+2.2 LL and this is called as factored loads and ultimate bending moment will be calculated.

## How to Calculate Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns?

Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns calculator uses Area of Steel Reinforcement = (((Factored Load)/(1.05))-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Characteristic Strength of Steel Reinforcement) to calculate the Area of Steel Reinforcement, The Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns formula is defined as the area covered by the longitudinal reinforcement. Area of Steel Reinforcement is denoted by Ast symbol.

How to calculate Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns using this online calculator? To use this online calculator for Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns, enter Factored Load (Pf), Characteristic Compressive Strength (fck), Area of Concrete (Ac) & Characteristic Strength of Steel Reinforcement (fy) and hit the calculate button. Here is how the Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns calculation can be explained with given input values -> 4.5E+8 = (((583672000)/(1.05))-(0.4*20000000*0.05245))/(0.67*450000000).

### FAQ

What is Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns?
The Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns formula is defined as the area covered by the longitudinal reinforcement and is represented as Ast = (((Pf)/(1.05))-(0.4*fck*Ac))/(0.67*fy) or Area of Steel Reinforcement = (((Factored Load)/(1.05))-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Characteristic Strength of Steel Reinforcement). The factored load is multiplied by a specific factor designated by codes of practice to determine the strength of a structural member such as reinforced concrete, The Characteristic Compressive Strength is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall, The Area of Concrete is defined as the concrete area in a beam or column excluding the area of reinforcement & The Characteristic Strength of Steel Reinforcement is the yield strength of steel.
How to calculate Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns?
The Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns formula is defined as the area covered by the longitudinal reinforcement is calculated using Area of Steel Reinforcement = (((Factored Load)/(1.05))-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Characteristic Strength of Steel Reinforcement). To calculate Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns, you need Factored Load (Pf), Characteristic Compressive Strength (fck), Area of Concrete (Ac) & Characteristic Strength of Steel Reinforcement (fy). With our tool, you need to enter the respective value for Factored Load, Characteristic Compressive Strength, Area of Concrete & Characteristic Strength of Steel 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 Area of Steel Reinforcement?
In this formula, Area of Steel Reinforcement uses Factored Load, Characteristic Compressive Strength, Area of Concrete & Characteristic Strength of Steel Reinforcement. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Area of Steel Reinforcement = Volume of Helical Reinforcement/(pi*(Diameter of Core-Diameter of Spiral Reinforcement))
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