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

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Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed. Check FAQs

f' c = (\frac{ρ s \cdot f y}{0.45 \cdot ((\frac{A g}{A c}) - 1)})

f'_c - Specified 28-Day Compressive Strength of Concrete?ρ_s - Ratio of Volume of Spiral Steel to Concrete Core?f_y - Yield Strength of Steel?A_g - Gross Area of Column?A_c - Cross Sectional Area of Column?

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

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Here is how the 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio equation looks like with Values.

Here is how the 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio equation looks like with Units.

Here is how the 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio equation looks like.

50.1389 = (\frac{0.0285 \cdot 250}{0.45 \cdot ((\frac{500}{380}) - 1)})

50.1389MPa = (\frac{0.0285 \cdot 250MPa}{0.45 \cdot ((\frac{500mm²}{380mm²}) - 1)})

50.1389 = (\frac{0.0285 \cdot 250}{0.45 \cdot ((\frac{500}{380}) - 1)})

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

Follow our step by step solution on how to calculate 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio?

FIRST Step Consider the formula

f' c = (\frac{ρ s \cdot f y}{0.45 \cdot ((\frac{A g}{A c}) - 1)})

Next Step Substitute values of Variables

∴

f' c = (\frac{0.0285 \cdot 250MPa}{0.45 \cdot ((\frac{500mm²}{380mm²}) - 1)})

Next Step Convert Units

∴

f' c = (\frac{0.0285 \cdot 2.5E+8Pa}{0.45 \cdot ((\frac{0.0005m²}{0.0004m²}) - 1)})

Next Step Prepare to Evaluate

∴

f' c = (\frac{0.0285 \cdot 2.5E+8}{0.45 \cdot ((\frac{0.0005}{0.0004}) - 1)})

Next Step Evaluate

∴

f' c = 50138888.8888889Pa

Next Step Convert to Output's Unit

∴

f' c = 50.1388888888889MPa

LAST Step Rounding Answer

∴

f' c = 50.1389MPa

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

Variables

Specified 28-Day Compressive Strength of Concrete

Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.

Symbol: f'_c

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Specified 28-Day Compressive Strength of Concrete

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.

Symbol: ρ_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Volume of Spiral Steel to Concrete Core

Yield Strength of Steel

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

Symbol: f_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Steel

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 should be greater than 0.

Formulas to find Cross Sectional Area of Column

Other formulas in Spirals in Columns category

Go Volume of Spiral Steel to Volume of Concrete Core Ratio

ρ s = (0.45 \cdot ((\frac{A g}{A c}) - 1) \cdot \frac{f' c}{f y})

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

f y = \frac{0.45 \cdot ((\frac{A g}{A c}) - 1) \cdot f' c}{ρ s}

How to Evaluate 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 evaluator 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 evaluate 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 evaluate 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio using this online evaluator? To use this online evaluator 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.

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

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

The formula of 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio is expressed as 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))). Here is an example- 5E-5 = ((0.0285*250000000)/(0.45*((0.0005/0.00038)-1))).

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

With 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) we can find 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio using the formula - 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))).

Can the 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio be negative?

No, the 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio, measured in Stress cannot be negative.

Which unit is used to measure 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 is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which 28-Day Concrete Compressive Strength given Volume of Spiral Steel to Concrete Core Ratio can be measured.

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

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

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

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

Other formulas in Spirals in Columns category

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

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

Variable Name