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Area of Cross-section of Spiral Reinforcement given Volume Formula

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

A st = \frac{V h}{π \cdot (d c - Φ)}

A_st - Area of Steel Reinforcement?V_h - Volume of Helical Reinforcement?d_c - Diameter of Core?Φ - Diameter of Spiral Reinforcement?π - Archimedes' constant?

Area of Cross-section of Spiral Reinforcement given Volume Example

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Here is how the Area of Cross-section of Spiral Reinforcement given Volume equation looks like with Values.

Here is how the Area of Cross-section of Spiral Reinforcement given Volume equation looks like with Units.

Here is how the Area of Cross-section of Spiral Reinforcement given Volume equation looks like.

452 = \frac{191700}{3.1416 \cdot (150 - 15)}

452mm² = \frac{191700m³}{3.1416 \cdot (150mm - 15mm)}

452 = \frac{191700}{3.1416 \cdot (150 - 15)}

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Area of Cross-section of Spiral Reinforcement given Volume Solution

Follow our step by step solution on how to calculate Area of Cross-section of Spiral Reinforcement given Volume?

FIRST Step Consider the formula

A st = \frac{V h}{π \cdot (d c - Φ)}

Next Step Substitute values of Variables

∴

A st = \frac{191700m³}{π \cdot (150mm - 15mm)}

Next Step Substitute values of Constants

∴

A st = \frac{191700m³}{3.1416 \cdot (150mm - 15mm)}

Next Step Prepare to Evaluate

∴

A st = \frac{191700}{3.1416 \cdot (150 - 15)}

Next Step Evaluate

∴

A st = 0.000452000038380983m²

Next Step Convert to Output's Unit

∴

A st = 452.000038380983mm²

LAST Step Rounding Answer

∴

A st = 452mm²

Area of Cross-section of Spiral Reinforcement given Volume Formula Elements

Variables

Constants

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

Volume of Helical Reinforcement

Volume of helical reinforcement is defined as the volume of the given helical structure.

Symbol: V_h

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Helical Reinforcement

Diameter of Core

Diameter of core is the diameter of the core of a given spiral reinforcement.

Symbol: d_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Core

Diameter of Spiral Reinforcement

The diameter of spiral reinforcement is the diameter of the given spirally reinforced structure.

Symbol: Φ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spiral Reinforcement

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Area of Steel Reinforcement

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

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

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 Cross-section of Spiral Reinforcement given Volume?

Area of Cross-section of Spiral Reinforcement given Volume evaluator uses Area of Steel Reinforcement = Volume of Helical Reinforcement/(pi*(Diameter of Core-Diameter of Spiral Reinforcement)) to evaluate the Area of Steel Reinforcement, The Area of Cross-section of Spiral Reinforcement given Volume is defined as the area of a section of a given spiral reinforcement influencing the volume of helical reinforcement in one loop . Area of Steel Reinforcement is denoted by A_st symbol.

How to evaluate Area of Cross-section of Spiral Reinforcement given Volume using this online evaluator? To use this online evaluator for Area of Cross-section of Spiral Reinforcement given Volume, enter Volume of Helical Reinforcement (V_h), Diameter of Core (d_c) & Diameter of Spiral Reinforcement (Φ) and hit the calculate button.

FAQs on Area of Cross-section of Spiral Reinforcement given Volume

What is the formula to find Area of Cross-section of Spiral Reinforcement given Volume?

The formula of Area of Cross-section of Spiral Reinforcement given Volume is expressed as Area of Steel Reinforcement = Volume of Helical Reinforcement/(pi*(Diameter of Core-Diameter of Spiral Reinforcement)). Here is an example- 4.5E+8 = 191700/(pi*(0.15-0.015)).

How to calculate Area of Cross-section of Spiral Reinforcement given Volume?

With Volume of Helical Reinforcement (V_h), Diameter of Core (d_c) & Diameter of Spiral Reinforcement (Φ) we can find Area of Cross-section of Spiral Reinforcement given Volume using the formula - Area of Steel Reinforcement = Volume of Helical Reinforcement/(pi*(Diameter of Core-Diameter of Spiral Reinforcement)). This formula also uses Archimedes' constant .

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

Can the Area of Cross-section of Spiral Reinforcement given Volume be negative?

No, the Area of Cross-section of Spiral Reinforcement given Volume, measured in Area cannot be negative.

Which unit is used to measure Area of Cross-section of Spiral Reinforcement given Volume?

Area of Cross-section of Spiral Reinforcement given Volume 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 Cross-section of Spiral Reinforcement given Volume can be measured.

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Area of Cross-section of Spiral Reinforcement given Volume Formula

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

Area of Cross-section of Spiral Reinforcement given Volume Example

Area of Cross-section of Spiral Reinforcement given Volume Solution

Area of Cross-section of Spiral Reinforcement given Volume 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 Cross-section of Spiral Reinforcement given Volume?

FAQs on Area of Cross-section of Spiral Reinforcement given Volume

Variable Name

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