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Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement Formula

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The percentage of compression reinforcement is the amount of structural reinforcement which is designed to carry compressive stresses of total gross area of concrete. Check FAQs

p = \frac{A sc}{\frac{A g}{100}}

p - Percentage of Compression Reinforcement?A_sc - Area of Steel Reinforcement in Compression?A_g - Gross Area of Concrete?

Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement Example

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Here is how the Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement equation looks like with Values.

Here is how the Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement equation looks like with Units.

Here is how the Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement equation looks like.

2 = \frac{30}{\frac{1500}{100}}

2 = \frac{30mm²}{\frac{1500mm²}{100}}

2 = \frac{30}{\frac{1500}{100}}

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Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement Solution

Follow our step by step solution on how to calculate Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement?

FIRST Step Consider the formula

p = \frac{A sc}{\frac{A g}{100}}

Next Step Substitute values of Variables

∴

p = \frac{30mm²}{\frac{1500mm²}{100}}

Next Step Convert Units

∴

p = \frac{3E-5m²}{\frac{0.0015m²}{100}}

Next Step Prepare to Evaluate

∴

p = \frac{3E-5}{\frac{0.0015}{100}}

LAST Step Evaluate

∴

p = 2

Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement Formula Elements

Variables

Percentage of Compression Reinforcement

The percentage of compression reinforcement is the amount of structural reinforcement which is designed to carry compressive stresses of total gross area of concrete.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Percentage of Compression Reinforcement

Area of Steel Reinforcement in Compression

Area of steel reinforcement in compression is the equivalent concrete area of compression steel.

Symbol: A_sc

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Steel Reinforcement in Compression

Gross Area of Concrete

Gross area of concrete is defined as total cross sectional area of column including reinforcement.

Symbol: A_g

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Gross Area of Concrete

Other formulas in Short Axially Loaded Tied Columns category

Go Factored Axial Load on Member

P fm = (0.4 \cdot f ck \cdot A c) + (0.67 \cdot f y \cdot A st)

Go Area of Concrete given Factored Axial Load on Member

A c = \frac{P fm - 0.67 \cdot f y \cdot A st}{0.4 \cdot f ck}

Go Area of Longitudinal Reinforcement for Columns given Factored Axial Load on Member

A st = \frac{P fm - 0.4 \cdot f ck \cdot A c}{0.67 \cdot f y}

Go Area of Longitudinal Reinforcement given Gross Area of Concrete

A sc = p \cdot \frac{A g}{100}

How to Evaluate Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement?

Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement evaluator uses Percentage of Compression Reinforcement = Area of Steel Reinforcement in Compression/(Gross Area of Concrete/100) to evaluate the Percentage of Compression Reinforcement, The Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement formula is defined as the ratio of steel reinforcement in the compression zone to the gross area of concrete represented in terms of percentage. Percentage of Compression Reinforcement is denoted by p symbol.

How to evaluate Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement using this online evaluator? To use this online evaluator for Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement, enter Area of Steel Reinforcement in Compression (A_sc) & Gross Area of Concrete (A_g) and hit the calculate button.

FAQs on Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement

What is the formula to find Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement?

The formula of Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement is expressed as Percentage of Compression Reinforcement = Area of Steel Reinforcement in Compression/(Gross Area of Concrete/100). Here is an example- 2 = 3E-05/(0.0015/100).

How to calculate Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement?

With Area of Steel Reinforcement in Compression (A_sc) & Gross Area of Concrete (A_g) we can find Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement using the formula - Percentage of Compression Reinforcement = Area of Steel Reinforcement in Compression/(Gross Area of Concrete/100).

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Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement Formula

Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement Example

Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement Solution

Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement Formula Elements

Other formulas in Short Axially Loaded Tied Columns category

How to Evaluate Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement?

FAQs on Percentage of Compression Reinforcement given Area of Longitudinal Reinforcement

Variable Name