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

✖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.ⓘ Yield Strength of Steel [f_y]			+10% -10%
✖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.ⓘ 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio [f'_c]

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

Formula

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

Example

`"50.13889MPa"=(("0.0285"*"250MPa")/(0.45*(("500mm²"/"380mm²")-1)))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Ratio of Volume of Spiral Steel to Concrete Core: 0.0285 --> No Conversion Required
Yield Strength of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f'_c = ((ρ_s*f_y)/(0.45*((A_g/A_c)-1))) --> ((0.0285*250000000)/(0.45*((0.0005/0.00038)-1)))

Evaluating ... ...

f'_c = 50138888.8888889

STEP 3: Convert Result to Output's Unit

50138888.8888889 Pascal -->50.1388888888889 Megapascal (Check conversion here)

FINAL ANSWER

50.1388888888889 ≈ 50.13889 Megapascal <-- Specified 28-Day Compressive Strength of Concrete

(Calculation completed in 00.004 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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)

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

28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio calculator uses 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))) to calculate the Specified 28-Day Compressive Strength of Concrete, The 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio formula is defined as minimum compressive strength at which concrete should fail in standard tests of 28-day old concrete cylinders. Specified 28-Day Compressive Strength of Concrete is denoted by f'_c symbol.

How to calculate 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio using this online calculator? To use this online calculator for 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio, enter Ratio of Volume of Spiral Steel to Concrete Core (ρ_s), Yield Strength of Steel (f_y), Gross Area of Column (A_g) & Cross Sectional Area of Column (A_c) and hit the calculate button. Here is how the 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio calculation can be explained with given input values -> 5E-5 = ((0.0285*250000000)/(0.45*((0.0005/0.00038)-1))).

FAQ

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

The 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio formula is defined as minimum compressive strength at which concrete should fail in standard tests of 28-day old concrete cylinders and is represented as f'_c = ((ρ_s*f_y)/(0.45*((A_g/A_c)-1))) or 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))). 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, Yield Strength of Steel is the level of stress that corresponds to the yield point, 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.

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

The 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio formula is defined as minimum compressive strength at which concrete should fail in standard tests of 28-day old concrete cylinders is calculated using 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))). To calculate 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio, you need Ratio of Volume of Spiral Steel to Concrete Core (ρ_s), Yield Strength of Steel (f_y), Gross Area of Column (A_g) & Cross Sectional Area of Column (A_c). With our tool, you need to enter the respective value for Ratio of Volume of Spiral Steel to Concrete Core, Yield Strength of Steel, Gross Area of Column & Cross Sectional Area of Column 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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