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Spiral Volume to Concrete-Core Volume Ratio Formula

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Ratio of Spiral to Concrete Core Volume is the ratio of spiral reinforcing volume to concrete core volume. Check FAQs

p s = 0.45 \cdot (\frac{A g}{A c} - 1) \cdot \frac{f' c}{fy steel}

p_s - Ratio of Spiral to Concrete Core Volume?A_g - Gross Area of Column?A_c - Cross Sectional Area of Column?f'_c - Specified Compressive Strength at 28 Days?fy_steel - Yield Strength of Steel?

Spiral Volume to Concrete-Core Volume Ratio Example

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

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

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

0.0455 = 0.45 \cdot (\frac{500}{380} - 1) \cdot \frac{80}{250}

0.0455 = 0.45 \cdot (\frac{500mm²}{380mm²} - 1) \cdot \frac{80Pa}{250MPa}

0.0455 = 0.45 \cdot (\frac{500}{380} - 1) \cdot \frac{80}{250}

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Spiral Volume to Concrete-Core Volume Ratio Solution

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

FIRST Step Consider the formula

p s = 0.45 \cdot (\frac{A g}{A c} - 1) \cdot \frac{f' c}{fy steel}

Next Step Substitute values of Variables

∴

p s = 0.45 \cdot (\frac{500mm²}{380mm²} - 1) \cdot \frac{80Pa}{250MPa}

Next Step Prepare to Evaluate

∴

p s = 0.45 \cdot (\frac{500}{380} - 1) \cdot \frac{80}{250}

Next Step Evaluate

∴

p s = 0.0454736842105263

LAST Step Rounding Answer

∴

p s = 0.0455

Spiral Volume to Concrete-Core Volume Ratio Formula Elements

Variables

Ratio of Spiral to Concrete Core Volume

Ratio of Spiral to Concrete Core Volume is the ratio of spiral reinforcing volume to concrete core volume.

Symbol: p_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Spiral to Concrete Core Volume

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 can be positive or negative.

Formulas to find Cross Sectional Area of Column

Specified Compressive Strength at 28 Days

Specified Compressive Strength at 28 Days is the capacity of a material or structure to withstand loads tending to reduce the size, as opposed to which withstands loads tending to elongate.

Symbol: f'_c

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Specified Compressive Strength at 28 Days

Yield Strength of Steel

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

Symbol: fy_steel

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Steel

Other formulas in Design of Short Column under Axial Compression category

Go Total Allowable Axial Load for Short Columns

P allow = A g \cdot (0.25 \cdot f' c + f' s \cdot p g)

Go Gross Cross-Sectional Area of Column given Total Allowable Axial Load

A g = \frac{P allow}{0.25 \cdot f' c + f' s \cdot p g}

Go Concrete Compressive Strength given Total Allowable Axial Load

fck = \frac{(\frac{p T}{A g}) - (f' s \cdot p g)}{0.25}

Go Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load

f' s = \frac{\frac{P allow}{A g} - 0.25 \cdot f' c}{p g}

How to Evaluate Spiral Volume to Concrete-Core Volume Ratio?

Spiral Volume to Concrete-Core Volume Ratio evaluator uses Ratio of Spiral to Concrete Core Volume = 0.45*(Gross Area of Column/Cross Sectional Area of Column-1)*Specified Compressive Strength at 28 Days/Yield Strength of Steel to evaluate the Ratio of Spiral to Concrete Core Volume, The Spiral Volume to Concrete-Core Volume Ratio formula is defined as the spiral reinforcing to be used in a spirally reinforced column. Ratio of Spiral to Concrete Core Volume is denoted by p_s symbol.

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

FAQs on Spiral Volume to Concrete-Core Volume Ratio

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

The formula of Spiral Volume to Concrete-Core Volume Ratio is expressed as Ratio of Spiral to Concrete Core Volume = 0.45*(Gross Area of Column/Cross Sectional Area of Column-1)*Specified Compressive Strength at 28 Days/Yield Strength of Steel. Here is an example- 4.5E-11 = 0.45*(0.0005/0.00038-1)*80/250000000.

How to calculate Spiral Volume to Concrete-Core Volume Ratio?

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

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Spiral Volume to Concrete-Core Volume Ratio Formula

Spiral Volume to Concrete-Core Volume Ratio Example

Spiral Volume to Concrete-Core Volume Ratio Solution

Spiral Volume to Concrete-Core Volume Ratio Formula Elements

Other formulas in Design of Short Column under Axial Compression category

How to Evaluate Spiral Volume to Concrete-Core Volume Ratio?

FAQs on Spiral Volume to Concrete-Core Volume Ratio

Variable Name