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Volume of Spiral Steel to Volume of Concrete Core Ratio Formula

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Ratio of volume of spiral steel to concrete core is the value obtained by dividing the volume of spiral steel by the volume of the concrete core. Check FAQs

ρ s = (0.45 \cdot ((\frac{A g}{A c}) - 1) \cdot \frac{f' c}{f y})

ρ_s - Ratio of Volume of Spiral Steel to Concrete Core?A_g - Gross Area of Column?A_c - Cross Sectional Area of Column?f'_c - Specified 28-Day Compressive Strength of Concrete?f_y - Yield Strength of Steel?

Volume of Spiral Steel to Volume of Concrete Core Ratio Example

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Here is how the Volume of Spiral Steel to Volume of Concrete Core Ratio equation looks like with Values.

Here is how the Volume of Spiral Steel to Volume of Concrete Core Ratio equation looks like with Units.

Here is how the Volume of Spiral Steel to Volume of Concrete Core Ratio equation looks like.

0.0284 = (0.45 \cdot ((\frac{500}{380}) - 1) \cdot \frac{50}{250})

0.0284 = (0.45 \cdot ((\frac{500mm²}{380mm²}) - 1) \cdot \frac{50MPa}{250MPa})

0.0284 = (0.45 \cdot ((\frac{500}{380}) - 1) \cdot \frac{50}{250})

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Volume of Spiral Steel to Volume of Concrete Core Ratio Solution

Follow our step by step solution on how to calculate Volume of Spiral Steel to Volume of Concrete Core Ratio?

FIRST Step Consider the formula

ρ s = (0.45 \cdot ((\frac{A g}{A c}) - 1) \cdot \frac{f' c}{f y})

Next Step Substitute values of Variables

∴

ρ s = (0.45 \cdot ((\frac{500mm²}{380mm²}) - 1) \cdot \frac{50MPa}{250MPa})

Next Step Convert Units

∴

ρ s = (0.45 \cdot ((\frac{0.0005m²}{0.0004m²}) - 1) \cdot \frac{5E+7Pa}{2.5E+8Pa})

Next Step Prepare to Evaluate

∴

ρ s = (0.45 \cdot ((\frac{0.0005}{0.0004}) - 1) \cdot \frac{5E+7}{2.5E+8})

Next Step Evaluate

∴

ρ s = 0.0284210526315789

LAST Step Rounding Answer

∴

ρ s = 0.0284

Volume of Spiral Steel to Volume of Concrete Core Ratio Formula Elements

Variables

Ratio of Volume of Spiral Steel to Concrete Core

Ratio of volume of spiral steel to concrete core is the value obtained by dividing the volume of spiral steel by the volume of the concrete core.

Symbol: ρ_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Volume of Spiral Steel to Concrete Core

Gross Area of Column

Gross Area of Column is the total area enclosed by the column.

Symbol: A_g

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Gross Area of Column

Cross Sectional Area of Column

Cross Sectional Area of Column is the area of the two-dimensional space that is obtained when the column is cut or sliced perpendicular to its longitudinal axis.

Symbol: A_c

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Column

Specified 28-Day Compressive Strength of Concrete

Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.

Symbol: f'_c

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Specified 28-Day Compressive Strength of Concrete

Yield Strength of Steel

Yield Strength of Steel is the level of stress that corresponds to the yield point.

Symbol: f_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Steel

Other formulas in Spirals in Columns category

Go Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio

f y = \frac{0.45 \cdot ((\frac{A g}{A c}) - 1) \cdot f' c}{ρ s}

Go 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio

f' c = (\frac{ρ s \cdot f y}{0.45 \cdot ((\frac{A g}{A c}) - 1)})

How to Evaluate Volume of Spiral Steel to Volume of Concrete Core Ratio?

Volume of Spiral Steel to Volume of Concrete Core Ratio evaluator uses Ratio of Volume of Spiral Steel to Concrete Core = (0.45*((Gross Area of Column/Cross Sectional Area of Column)-1)*Specified 28-Day Compressive Strength of Concrete/Yield Strength of Steel) to evaluate the Ratio of Volume of Spiral Steel to Concrete Core, The Volume of Spiral Steel to Volume of Concrete Core Ratio formula is defined as the ratio of the provided transverse steel volume to the volume of the concrete core. It is measured out to out of the spiral. Ratio of Volume of Spiral Steel to Concrete Core is denoted by ρ_s symbol.

How to evaluate Volume of Spiral Steel to Volume of Concrete Core Ratio using this online evaluator? To use this online evaluator for Volume of Spiral Steel to Volume of Concrete Core Ratio, enter Gross Area of Column (A_g), Cross Sectional Area of Column (A_c), Specified 28-Day Compressive Strength of Concrete (f'_c) & Yield Strength of Steel (f_y) and hit the calculate button.

FAQs on Volume of Spiral Steel to Volume of Concrete Core Ratio

What is the formula to find Volume of Spiral Steel to Volume of Concrete Core Ratio?

The formula of Volume of Spiral Steel to Volume of Concrete Core Ratio is expressed as Ratio of Volume of Spiral Steel to Concrete Core = (0.45*((Gross Area of Column/Cross Sectional Area of Column)-1)*Specified 28-Day Compressive Strength of Concrete/Yield Strength of Steel). Here is an example- 0.028421 = (0.45*((0.0005/0.00038)-1)*50000000/250000000).

How to calculate Volume of Spiral Steel to Volume of Concrete Core Ratio?

With Gross Area of Column (A_g), Cross Sectional Area of Column (A_c), Specified 28-Day Compressive Strength of Concrete (f'_c) & Yield Strength of Steel (f_y) we can find Volume of Spiral Steel to Volume of Concrete Core Ratio using the formula - Ratio of Volume of Spiral Steel to Concrete Core = (0.45*((Gross Area of Column/Cross Sectional Area of Column)-1)*Specified 28-Day Compressive Strength of Concrete/Yield Strength of Steel).

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Volume of Spiral Steel to Volume of Concrete Core Ratio Formula

Volume of Spiral Steel to Volume of Concrete Core Ratio Example

Volume of Spiral Steel to Volume of Concrete Core Ratio Solution

Volume of Spiral Steel to Volume of Concrete Core Ratio Formula Elements

Other formulas in Spirals in Columns category

How to Evaluate Volume of Spiral Steel to Volume of Concrete Core Ratio?

FAQs on Volume of Spiral Steel to Volume of Concrete Core Ratio

Variable Name