Volume of Spiral Steel to Volume of Concrete Core Ratio Calculator

✖Gross Area of Column is the total area enclosed by the column.ⓘ Gross Area of Column [A_g]			+10% -10%
✖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.ⓘ Cross Sectional Area of Column [A_c]			+10% -10%
✖Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.ⓘ Specified 28-Day Compressive Strength of Concrete [f'_c]			+10% -10%
✖Yield Strength of Steel is the level of stress that corresponds to the yield point.ⓘ Yield Strength of Steel [f_y]			+10% -10%

✖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.ⓘ Volume of Spiral Steel to Volume of Concrete Core Ratio [ρ_s]

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Volume of Spiral Steel to Volume of Concrete Core Ratio

Formula

`"ρ"_{"s"} = (0.45*(("A"_{"g"}/"A"_{"c"})-1)*"f'"_{"c"}/"f"_{"y"})`

Example

`"0.028421"=(0.45*(("500mm²"/"380mm²")-1)*"50MPa"/"250MPa")`

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Volume of Spiral Steel to Volume of Concrete Core Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
ρ_s = (0.45*((A_g/A_c)-1)*f'_c/f_y)
This formula uses 5 Variables

Variables Used

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.
Gross Area of Column - (Measured in Square Meter) - Gross Area of Column is the total area enclosed by the column.
Cross Sectional Area of Column - (Measured in Square Meter) - 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.
Specified 28-Day Compressive Strength of Concrete - (Measured in Pascal) - Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.
Yield Strength of Steel - (Measured in Pascal) - Yield Strength of Steel is the level of stress that corresponds to the yield point.

STEP 1: Convert Input(s) to Base Unit

Gross Area of Column: 500 Square Millimeter --> 0.0005 Square Meter (Check conversion here)
Cross Sectional Area of Column: 380 Square Millimeter --> 0.00038 Square Meter (Check conversion here)
Specified 28-Day Compressive Strength of Concrete: 50 Megapascal --> 50000000 Pascal (Check conversion here)
Yield Strength of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_s = (0.45*((A_g/A_c)-1)*f'_c/f_y) --> (0.45*((0.0005/0.00038)-1)*50000000/250000000)

Evaluating ... ...

ρ_s = 0.0284210526315789

STEP 3: Convert Result to Output's Unit

0.0284210526315789 --> No Conversion Required

FINAL ANSWER

0.0284210526315789 ≈ 0.028421 <-- Ratio of Volume of Spiral Steel to Concrete Core

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Concrete Formulas » Deflection Computations, Column Moments and Torsion » Column Moments » Spirals in Columns » Volume of Spiral Steel to Volume of Concrete Core Ratio

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Bhilai Institute of Technology (BIT), Raipur

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< 3 Spirals in Columns Calculators

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

Go Specified 28-Day Compressive Strength of Concrete = ((Ratio of Volume of Spiral Steel to Concrete Core*Yield Strength of Steel)/(0.45*((Gross Area of Column/Cross Sectional Area of Column)-1)))

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

Go Yield Strength of Steel = (0.45*((Gross Area of Column/Cross Sectional Area of Column)-1)*Specified 28-Day Compressive Strength of Concrete)/Ratio of Volume of Spiral Steel to Concrete Core

Volume of Spiral Steel to Volume of Concrete Core Ratio

Go 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)

Volume of Spiral Steel to Volume of Concrete Core Ratio Formula

What is Compressive Strength and Yield Strength?

Compressive strength is the capacity of the material to withstand loads tending to reduce the size, as opposed to which withstands loads tending to elongate.
Yield strength is the material property and is the stress corresponding to the yield point at which the material begins to deform plastically.

What are Spirals?

Spirals are a type of transverse reinforcement that should be at least 3/8 in (9.5 mm) in diameter. A spiral may be anchored at each of its ends by 11/2 extra turns of the spiral.

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

Volume of Spiral Steel to Volume of Concrete Core Ratio calculator 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 calculate 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 calculate Volume of Spiral Steel to Volume of Concrete Core Ratio using this online calculator? To use this online calculator 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. Here is how the Volume of Spiral Steel to Volume of Concrete Core Ratio calculation can be explained with given input values -> 0.028421 = (0.45*((0.0005/0.00038)-1)*50000000/250000000).

FAQ

What is Volume of Spiral Steel to Volume of Concrete Core Ratio?

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 and is represented as ρ_s = (0.45*((A_g/A_c)-1)*f'_c/f_y) or 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). Gross Area of Column is the total area enclosed by the 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, Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed & Yield Strength of Steel is the level of stress that corresponds to the yield point.

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

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 is calculated using 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 calculate Volume of Spiral Steel to Volume of Concrete Core Ratio, you need 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). With our tool, you need to enter the respective value for Gross Area of Column, Cross Sectional Area of Column, Specified 28-Day Compressive Strength of Concrete & Yield Strength of Steel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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