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

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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. Check FAQs
Ast=Pfm-0.4⋅fck⋅Ac0.67⋅fy
Ast - Area of Steel Reinforcement?Pfm - Factored Load on Member?fck - Characteristic Compressive Strength?Ac - Area of Concrete?fy - Characteristic Strength of Steel Reinforcement?

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

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Here is how the Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member equation looks like with Values.

Here is how the Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member equation looks like with Units.

Here is how the Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member equation looks like.

452Edit=555.878Edit-0.4⋅20Edit⋅52450Edit0.67⋅450Edit
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Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member Solution

Follow our step by step solution on how to calculate Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member?

FIRST Step Consider the formula
Ast=Pfm-0.4⋅fck⋅Ac0.67⋅fy
Next Step Substitute values of Variables
∴ Ast=555.878kN-0.4⋅20MPa⋅52450mm²0.67⋅450MPa
Next Step Convert Units
∴ Ast=555878N-0.4⋅20MPa⋅52450mm²0.67⋅450MPa
Next Step Prepare to Evaluate
∴ Ast=555878-0.4⋅20⋅524500.67⋅450
Next Step Evaluate
∴Ast=0.000452m²
LAST Step Convert to Output's Unit
∴Ast=452mm²

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

Variables
Area of Steel Reinforcement
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.
Symbol: Ast
Measurement: AreaUnit: mm²
Note: Value should be greater than 0.
Formulas to find Area of Steel ReinforcementOpen Variable
Factored Load on Member
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.
Symbol: Pfm
Measurement: ForceUnit: kN
Note: Value should be greater than 0.
Formulas to find Factored Load on MemberOpen Variable
Characteristic Compressive Strength
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.
Symbol: fck
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.
Formulas to find Characteristic Compressive StrengthOpen Variable
Area of Concrete
The Area of Concrete is defined as the concrete area in a beam or column excluding the area of reinforcement.
Symbol: Ac
Measurement: AreaUnit: mm²
Note: Value should be greater than 0.
Formulas to find Area of ConcreteOpen Variable
Characteristic Strength of Steel Reinforcement
The Characteristic Strength of Steel Reinforcement is the yield strength of steel.
Symbol: fy
Measurement: StressUnit: MPa
Note: Value should be greater than 0.
Formulas to find Characteristic Strength of Steel ReinforcementOpen Variable

Other formulas in Short Axially Loaded Tied Columns category

​Go Factored Axial Load on Member
Pfm=(0.4⋅fck⋅Ac)+(0.67⋅fy⋅Ast)
​Go Area of Concrete given Factored Axial Load on Member
Ac=Pfm-0.67⋅fy⋅Ast0.4⋅fck
​Go Area of Longitudinal Reinforcement given Gross Area of Concrete
Asc=p⋅Ag100
​Go Gross Area of concrete given Area of Longitudinal Reinforcement
Ag=100⋅Ascp

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

Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member evaluator 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 evaluate 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 Ast symbol.

How to evaluate Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member using this online evaluator? To use this online evaluator for Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member, enter Factored Load on Member (Pfm), Characteristic Compressive Strength (fck), Area of Concrete (Ac) & Characteristic Strength of Steel Reinforcement (fy) and hit the calculate button.

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

What is the formula to find Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member?
The formula of Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member is expressed as Area of Steel Reinforcement = (Factored Load on Member-0.4*Characteristic Compressive Strength*Area of Concrete)/(0.67*Characteristic Strength of Steel Reinforcement). Here is an example- -1389864417.91045 = (555878-0.4*20000000*0.05245)/(0.67*450000000).
How to calculate Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member?
With Factored Load on Member (Pfm), Characteristic Compressive Strength (fck), Area of Concrete (Ac) & Characteristic Strength of Steel Reinforcement (fy) we can find Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member using the formula - Area of Steel Reinforcement = (Factored Load on Member-0.4*Characteristic Compressive Strength*Area of Concrete)/(0.67*Characteristic Strength of Steel Reinforcement).
Can the Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member be negative?
No, the Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member, measured in Area cannot be negative.
Which unit is used to measure Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member?
Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member can be measured.
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