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

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

Φ = d c - (\frac{V h}{π \cdot A st})

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

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

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Here is how the Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop equation looks like with Values.

Here is how the Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop equation looks like with Units.

Here is how the Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop equation looks like.

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

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

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

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

Follow our step by step solution on how to calculate Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop?

FIRST Step Consider the formula

Φ = d c - (\frac{V h}{π \cdot A st})

Next Step Substitute values of Variables

∴

Φ = 150mm - (\frac{191700m³}{π \cdot 452mm²})

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

Φ = 0.0149999885366534m

Next Step Convert to Output's Unit

∴

Φ = 14.9999885366534mm

LAST Step Rounding Answer

∴

Φ = 15mm

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

Variables

Constants

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

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

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

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

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

Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop evaluator uses Diameter of Spiral Reinforcement = Diameter of Core-((Volume of Helical Reinforcement)/(pi*Area of Steel Reinforcement)) to evaluate the Diameter of Spiral Reinforcement, The Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop formula is defined as the diameter of the given spiral structure. Diameter of Spiral Reinforcement is denoted by Φ symbol.

How to evaluate Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop using this online evaluator? To use this online evaluator for Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop, enter Diameter of Core (d_c), Volume of Helical Reinforcement (V_h) & Area of Steel Reinforcement (A_st) and hit the calculate button.

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

What is the formula to find Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop?

The formula of Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop is expressed as Diameter of Spiral Reinforcement = Diameter of Core-((Volume of Helical Reinforcement)/(pi*Area of Steel Reinforcement)). Here is an example- 14999.99 = 0.15-((191700)/(pi*0.000452)).

How to calculate Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop?

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

Can the Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop be negative?

No, the Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop, measured in Length cannot be negative.

Which unit is used to measure Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop?

Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop can be measured.

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

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

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

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

Other formulas in Short Axially Loaded Columns with Helical Ties category

How to Evaluate Diameter of Spiral Reinforcement given Volume of Helical Reinforcement in one Loop?

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

Variable Name