Spiral Volume to Concrete-Core Volume 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 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.ⓘ Specified Compressive Strength at 28 Days [f'_c]			+10% -10%
✖Yield Strength of Steel is the level of stress that corresponds to the yield point.ⓘ Yield Strength of Steel [fy_steel]			+10% -10%

✖Ratio of Spiral to Concrete Core Volume is the ratio of spiral reinforcing volume to concrete core volume.ⓘ Spiral Volume to Concrete-Core Volume Ratio [p_s]

⎘ Copy

👎

Formula

✖

Spiral Volume to Concrete-Core Volume Ratio

Formula

`"p"_{"s"} = 0.45*("A"_{"g"}/"A"_{"c"}-1)*"f'"_{"c"}/"fy"_{"steel"}`

Example

`"0.045474"=0.45*("500mm²"/"380mm²"-1)*"80Pa"/"250MPa"`

Calculator

LaTeX

Reset

👍

Download Short Columns Formulas PDF PDF Image

Spiral Volume to Concrete-Core Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Gross Area of Column - (Measured in Square Millimeter) - Gross Area of Column is the total area enclosed by the column.
Cross Sectional Area of Column - (Measured in Square Millimeter) - 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 Compressive Strength at 28 Days - (Measured in Pascal) - 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.
Yield Strength of Steel - (Measured in Megapascal) - 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 --> 500 Square Millimeter No Conversion Required
Cross Sectional Area of Column: 380 Square Millimeter --> 380 Square Millimeter No Conversion Required
Specified Compressive Strength at 28 Days: 80 Pascal --> 80 Pascal No Conversion Required
Yield Strength of Steel: 250 Megapascal --> 250 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p_s = 0.45*(A_g/A_c-1)*f'_c/fy_steel --> 0.45*(500/380-1)*80/250

Evaluating ... ...

p_s = 0.0454736842105263

STEP 3: Convert Result to Output's Unit

0.0454736842105263 --> No Conversion Required

FINAL ANSWER

0.0454736842105263 ≈ 0.045474 <-- Ratio of Spiral to Concrete Core Volume

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Structural Engineering » Concrete Structures » Design of Compression Members » Short Columns » Design of Short Column under Axial Compression » Spiral Volume to Concrete-Core Volume Ratio

Credits

Created by Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

Rudrani Tidke has created this Calculator and 100+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 7 Design of Short Column under Axial Compression Calculators

Concrete Compressive Strength given Total Allowable Axial Load

Go Characteristic Compressive Strength = ((Total Allowable Load/Gross Area of Column)-(Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area))/0.25

Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load

Go Allowable Stress in Vertical Reinforcement = (Allowable Load/Gross Area of Column-0.25*Specified Compressive Strength at 28 Days)/Area Ratio of Cross Sectional Area to Gross Area

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

Go Gross Area of Column = Allowable Load/(0.25*Specified Compressive Strength at 28 Days+Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area)

Total Allowable Axial Load for Short Columns

Go Allowable Load = Gross Area of Column*(0.25*Specified Compressive Strength at 28 Days+Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area)

Spiral Volume to Concrete-Core Volume Ratio

Go 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

Allowable Bond Stress for Horizontal Tension Bars of Sizes and Deformations Conforming to ASTM A 408

Go Allowable Bond Stress = 2.1*sqrt(Specified Compressive Strength at 28 Days)

Allowable Bond Stress for Other Tension Bars of Sizes and Deformations Conforming to ASTM A 408

Go Allowable Bond Stress = 3*sqrt(Specified Compressive Strength at 28 Days)

Spiral Volume to Concrete-Core Volume Ratio Formula

What is Spiral Reinforcement?

Spiral reinforcement is also termed as helical reinforcement which is used only in the circular column. The diameter of the reinforcement should not be less than 12 mm and maximum distance between the longitudinal bars should not be greater than 300 mm.

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

Spiral Volume to Concrete-Core Volume Ratio calculator 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 calculate 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 calculate Spiral Volume to Concrete-Core Volume Ratio using this online calculator? To use this online calculator 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. Here is how the Spiral Volume to Concrete-Core Volume Ratio calculation can be explained with given input values -> 4.5E-11 = 0.45*(0.0005/0.00038-1)*80/250000000.

FAQ

What is Spiral Volume to Concrete-Core Volume Ratio?

The Spiral Volume to Concrete-Core Volume Ratio formula is defined as the spiral reinforcing to be used in a spirally reinforced column and is represented as p_s = 0.45*(A_g/A_c-1)*f'_c/fy_steel or 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. 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 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 & Yield Strength of Steel is the level of stress that corresponds to the yield point.

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

The Spiral Volume to Concrete-Core Volume Ratio formula is defined as the spiral reinforcing to be used in a spirally reinforced column is calculated using 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 calculate Spiral Volume to Concrete-Core Volume Ratio, you need 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). With our tool, you need to enter the respective value for Gross Area of Column, Cross Sectional Area of Column, Specified Compressive Strength at 28 Days & 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.

Home

FREE PDFs

🔍 Search