FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

GoArea of Cross-section of Spiral Reinforcement given Volume Formula

Fx Copy

LaTeX Copy

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

A st = \frac{(\frac{P f}{1.05}) - (0.4 \cdot f ck \cdot A c)}{0.67 \cdot f y}

A_st - Area of Steel Reinforcement?P_f - Factored Load?f_ck - Characteristic Compressive Strength?A_c - Area of Concrete?f_y - Characteristic Strength of Steel Reinforcement?

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

With values

With units

Only example

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

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

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

452.0003 = \frac{(\frac{583672}{1.05}) - (0.4 \cdot 20 \cdot 52450)}{0.67 \cdot 450}

452.0003mm² = \frac{(\frac{583672kN}{1.05}) - (0.4 \cdot 20MPa \cdot 52450mm²)}{0.67 \cdot 450MPa}

452.0003 = \frac{(\frac{583672}{1.05}) - (0.4 \cdot 20 \cdot 52450)}{0.67 \cdot 450}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Columns » fx 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 Solution

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

FIRST Step Consider the formula

A st = \frac{(\frac{P f}{1.05}) - (0.4 \cdot f ck \cdot A c)}{0.67 \cdot f y}

Next Step Substitute values of Variables

∴

A st = \frac{(\frac{583672kN}{1.05}) - (0.4 \cdot 20MPa \cdot 52450mm²)}{0.67 \cdot 450MPa}

Next Step Prepare to Evaluate

∴

A st = \frac{(\frac{583672}{1.05}) - (0.4 \cdot 20 \cdot 52450)}{0.67 \cdot 450}

Next Step Evaluate

∴

A st = 0.000452000315880913m²

Next Step Convert to Output's Unit

∴

A st = 452.000315880913mm²

LAST Step Rounding Answer

∴

A st = 452.0003mm²

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

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Steel Reinforcement

Factored Load

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.

Symbol: P_f

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Factored Load

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: f_ck

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Characteristic Compressive Strength

Area of Concrete

The Area of Concrete is defined as the concrete area in a beam or column excluding the area of reinforcement.

Symbol: A_c

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Concrete

Characteristic Strength of Steel Reinforcement

The Characteristic Strength of Steel Reinforcement is the yield strength of steel.

Symbol: f_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Characteristic Strength of Steel Reinforcement

Other Formulas to find Area of Steel Reinforcement

Go Area of Cross-section of Spiral Reinforcement given Volume

A st = \frac{V h}{π \cdot (d c - Φ)}

Other formulas in Short Axially Loaded Columns with Helical Ties category

Go Factored Axial Load on Member of Spiral Columns

P f = 1.05 \cdot (0.4 \cdot f ck \cdot A c + 0.67 \cdot f y \cdot A st)

Go Characteristic Compressive Strength of Concrete given Factored Axial Load in Spiral Columns

f ck = \frac{(\frac{P f}{1.05}) - 0.67 \cdot f y \cdot A st}{0.4 \cdot A c}

Go Area of Concrete given Factored Axial Load

A c = \frac{(\frac{P f}{1.05}) - 0.67 \cdot f y \cdot A st}{0.4 \cdot f ck}

Go Characteristic Strength of Compression Reinforcement given Factored Load in Spiral Columns

f y = \frac{(\frac{P f}{1.05}) - (0.4 \cdot f ck \cdot A c)}{0.67 \cdot A st}

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns?

The formula of Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns is expressed as Area of Steel Reinforcement = (((Factored Load)/(1.05))-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Characteristic Strength of Steel Reinforcement). Here is an example- 4.5E+8 = (((583672000)/(1.05))-(0.4*20000000*0.05245))/(0.67*450000000).

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

With Factored Load (P_f), Characteristic Compressive Strength (f_ck), Area of Concrete (A_c) & Characteristic Strength of Steel Reinforcement (f_y) we can find Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns using the formula - Area of Steel Reinforcement = (((Factored Load)/(1.05))-(0.4*Characteristic Compressive Strength*Area of Concrete))/(0.67*Characteristic Strength of Steel Reinforcement).

What are the other ways to Calculate Area of Steel Reinforcement?

Here are the different ways to Calculate Area of Steel Reinforcement-

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

Can the Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns be negative?

No, the Area of Longitudinal Reinforcement for Columns given Factored Axial Load in Spiral Columns, measured in Area cannot be negative.

Which unit is used to measure 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 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 in Spiral Columns can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

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

​GoArea of Cross-section of Spiral Reinforcement given Volume Formula

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

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

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

Other Formulas to find Area of Steel Reinforcement

Other formulas in Short Axially Loaded Columns with Helical Ties category

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

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

Variable Name

GoArea of Cross-section of Spiral Reinforcement given Volume Formula