Spiral Steel Yield Strength given Volume of Spiral Steel to 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%
✖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.ⓘ Ratio of Volume of Spiral Steel to Concrete Core [ρ_s]			+10% -10%

✖Yield Strength of Steel is the level of stress that corresponds to the yield point.ⓘ Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio [f_y]

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

Formula

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

Example

`"249.3075MPa"=(0.45*(("500mm²"/"380mm²")-1)*"50MPa")/"0.0285"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Yield Strength of Steel - (Measured in Pascal) - Yield Strength of Steel is the level of stress that corresponds to the yield point.
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.
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.

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)
Ratio of Volume of Spiral Steel to Concrete Core: 0.0285 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_y = (0.45*((A_g/A_c)-1)*f'_c)/ρ_s --> (0.45*((0.0005/0.00038)-1)*50000000)/0.0285

Evaluating ... ...

f_y = 249307479.224377

STEP 3: Convert Result to Output's Unit

249307479.224377 Pascal -->249.307479224377 Megapascal (Check conversion here)

FINAL ANSWER

249.307479224377 ≈ 249.3075 Megapascal <-- Yield Strength of Steel

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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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)

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

Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio calculator uses 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 to calculate the Yield Strength of Steel, The Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio formula is defined as yield strength attained by spiral steel while undergoing plastic deformation. Yield Strength of Steel is denoted by f_y symbol.

How to calculate Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio using this online calculator? To use this online calculator for Spiral Steel Yield Strength given Volume of Spiral Steel to 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) & Ratio of Volume of Spiral Steel to Concrete Core (ρ_s) and hit the calculate button. Here is how the Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio calculation can be explained with given input values -> 0.000249 = (0.45*((0.0005/0.00038)-1)*50000000)/0.0285.

FAQ

What is Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio?

The Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio formula is defined as yield strength attained by spiral steel while undergoing plastic deformation and is represented as f_y = (0.45*((A_g/A_c)-1)*f'_c)/ρ_s or 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. 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 & 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.

How to calculate Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio?

The Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio formula is defined as yield strength attained by spiral steel while undergoing plastic deformation is calculated using 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. To calculate Spiral Steel Yield Strength given Volume of Spiral Steel to 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) & Ratio of Volume of Spiral Steel to Concrete Core (ρ_s). 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 & Ratio of Volume of Spiral Steel to Concrete Core 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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