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

✖Factored Load on Member is the specific factor designated by codes of practice to determine the strength of a structural member such as reinforced concrete.ⓘ Factored Load on Member [P_fm]			+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 on Member [A_st]

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Formula

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

Formula

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

Example

`"452mm²"=("555.878kN"-0.4*"20MPa"*"52450mm²")/(0.67*"450MPa")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Area of Steel Reinforcement = (Factored Load on Member-0.4*Characteristic Compressive Strength*Area of Concrete)/(0.67*Characteristic Strength of Steel Reinforcement)
A_st = (P_fm-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 on Member - (Measured in Newton) - Factored Load on Member is the 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 on Member: 555.878 Kilonewton --> 555878 Newton (Check conversion here)
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_fm-0.4*f_ck*A_c)/(0.67*f_y) --> (555878-0.4*20*52450)/(0.67*450)

Evaluating ... ...

A_st = 452

STEP 3: Convert Result to Output's Unit

0.000452 Square Meter -->452 Square Millimeter (Check conversion here)

FINAL ANSWER

452 Square Millimeter <-- Area of Steel Reinforcement

(Calculation completed in 00.004 seconds)

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< 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))

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

What is Longitudinal Reinforcement?

Longitudinal reinforcement 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 Axial Load?

An axial load is any force whether tensile or compressive in nature acting parallel to the centroidal/longitudinal axis of the member. If an axial load coincides with the centroidal axis of the member, then it is called concentric axial load and if an axial load is at a distance from the axis, then it is called eccentric axial load.

How to Calculate Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member?

Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member calculator uses Area of Steel Reinforcement = (Factored Load on Member-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 on Member formula is defined as vertical reinforcement provided to absorb the bending tensile stresses in the longitudinal direction. Area of Steel Reinforcement is denoted by A_st symbol.

How to calculate Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member using this online calculator? To use this online calculator for Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member, enter Factored Load on Member (P_fm), 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 on Member calculation can be explained with given input values -> -1389864417.91045 = (555878-0.4*20000000*0.05245)/(0.67*450000000).

FAQ

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

The Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member formula is defined as vertical reinforcement provided to absorb the bending tensile stresses in the longitudinal direction and is represented as A_st = (P_fm-0.4*f_ck*A_c)/(0.67*f_y) or Area of Steel Reinforcement = (Factored Load on Member-0.4*Characteristic Compressive Strength*Area of Concrete)/(0.67*Characteristic Strength of Steel Reinforcement). Factored Load on Member is the 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 on Member?

The Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member formula is defined as vertical reinforcement provided to absorb the bending tensile stresses in the longitudinal direction is calculated using Area of Steel Reinforcement = (Factored Load on Member-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 on Member, you need Factored Load on Member (P_fm), 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 on Member, 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.

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