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

✖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.ⓘ Factored Load [P_f]			+10% -10%
✖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.ⓘ Characteristic Compressive Strength [f_ck]			+10% -10%
✖The Area of Concrete is defined as the concrete area in a beam or column excluding the area of reinforcement.ⓘ Area of Concrete [A_c]			+10% -10%
✖The Characteristic Strength of Steel Reinforcement is the yield strength of steel.ⓘ Characteristic Strength of Steel Reinforcement [f_y]			+10% -10%

✖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.ⓘ Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns [A_st]

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

Formula

`"A"_{"st"} = ((("P"_{"f"})/(1.05))-(0.4*"f"_{"ck"}*"A"_{"c"}))/(0.67*"f"_{"y"})`

Example

`"452.0003mm²"=((("583672kN")/(1.05))-(0.4*"20MPa"*"52450mm²"))/(0.67*"450MPa")`

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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)
A_st = (((P_f)/(1.05))-(0.4*f_ck*A_c))/(0.67*f_y)
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

A_st = (((P_f)/(1.05))-(0.4*f_ck*A_c))/(0.67*f_y) --> (((583672)/(1.05))-(0.4*20*52450))/(0.67*450)

Evaluating ... ...

A_st = 452.000315880913

STEP 3: Convert Result to Output's Unit

0.000452000315880913 Square Meter -->452.000315880913 Square Millimeter (Check conversion here)

FINAL ANSWER

452.000315880913 ≈ 452.0003 Square Millimeter <-- Area of Steel Reinforcement

(Calculation completed in 00.004 seconds)

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Created by Pranav More

Vellore Institute of Technology, Vellore (VIT, Vellore), Vellore

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< 12 Short Axially Loaded Columns with Helical Ties Calculators

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

Go Area of Steel Reinforcement = (((Factored Load)/(1.05))-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Characteristic Strength of Steel Reinforcement)

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)

Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop

Go Diameter of Spiral Reinforcement = Diameter of Core-((Volume of Helical Reinforcement)/(pi*Area of Steel Reinforcement))

Diameter of Core given Volume of Helical Reinforcement in One Loop

Go Diameter of Core = ((Volume of Helical Reinforcement)/(pi*Area of Steel Reinforcement))+Diameter of Spiral Reinforcement

Area of Cross-section of Spiral Reinforcement given Volume

Go Area of Steel Reinforcement = Volume of Helical Reinforcement/(pi*(Diameter of Core-Diameter of Spiral Reinforcement))

Volume of Helical Reinforcement in One Loop

Go Volume of Helical Reinforcement = pi*(Diameter of Core-Diameter of Spiral Reinforcement)*Area of Steel Reinforcement

Diameter of Core given Volume of Core

Go Diameter of Core = sqrt(4*Volume of Core/(pi*Pitch of Spiral Reinforcement))

Volume of Core in Short Axially Loaded Columns with Helical Ties

Go Volume of Core = (pi/4)*Diameter of Core^(2)*Pitch of Spiral Reinforcement

Pitch of Spiral Reinforcement given Volume of Core

Go Pitch of Spiral Reinforcement = (4*Volume of Core)/(pi*Diameter of Core^2)

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

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 A_st 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 (P_f), Characteristic Compressive Strength (f_ck), Area of Concrete (A_c) & Characteristic Strength of Steel Reinforcement (f_y) 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 A_st = (((P_f)/(1.05))-(0.4*f_ck*A_c))/(0.67*f_y) 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 (P_f), Characteristic Compressive Strength (f_ck), Area of Concrete (A_c) & Characteristic Strength of Steel Reinforcement (f_y). 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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