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

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

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

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

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

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

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

Here is how the Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio equation looks like.

249.3075 = \frac{0.45 \cdot ((\frac{500}{380}) - 1) \cdot 50}{0.0285}

249.3075MPa = \frac{0.45 \cdot ((\frac{500mm²}{380mm²}) - 1) \cdot 50MPa}{0.0285}

249.3075 = \frac{0.45 \cdot ((\frac{500}{380}) - 1) \cdot 50}{0.0285}

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

Follow our step by step solution on how to calculate Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f y = \frac{0.45 \cdot ((\frac{500mm²}{380mm²}) - 1) \cdot 50MPa}{0.0285}

Next Step Convert Units

∴

f y = \frac{0.45 \cdot ((\frac{0.0005m²}{0.0004m²}) - 1) \cdot 5E+7Pa}{0.0285}

Next Step Prepare to Evaluate

∴

f y = \frac{0.45 \cdot ((\frac{0.0005}{0.0004}) - 1) \cdot 5E+7}{0.0285}

Next Step Evaluate

∴

f y = 249307479.224377Pa

Next Step Convert to Output's Unit

∴

f y = 249.307479224377MPa

LAST Step Rounding Answer

∴

f y = 249.3075MPa

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

Variables

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

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

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

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

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

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

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

The formula of Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio is expressed as 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. Here is an example- 0.000249 = (0.45*((0.0005/0.00038)-1)*50000000)/0.0285.

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

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

Can the Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio be negative?

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

Which unit is used to measure 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 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 Spiral Steel Yield Strength given Volume of Spiral Steel to Concrete Core Ratio can be measured.

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

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

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

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

Other formulas in Spirals in Columns category

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

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

Variable Name