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Area of Tension Reinforcement given Steel Ratio Formula

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Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section. Check FAQs

A = (ρ steel ratio \cdot b \cdot d')

A - Area of Tension Reinforcement?ρ_{steel ratio} - Steel Ratio?b - Beam Width?d' - Distance from Compression to Centroid Reinforcment?

Area of Tension Reinforcement given Steel Ratio Example

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Here is how the Area of Tension Reinforcement given Steel Ratio equation looks like with Values.

Here is how the Area of Tension Reinforcement given Steel Ratio equation looks like with Units.

Here is how the Area of Tension Reinforcement given Steel Ratio equation looks like.

7.58 = (37.9 \cdot 26.5 \cdot 7547.15)

7.58m² = (37.9 \cdot 26.5mm \cdot 7547.15mm)

7.58 = (37.9 \cdot 26.5 \cdot 7547.15)

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Area of Tension Reinforcement given Steel Ratio Solution

Follow our step by step solution on how to calculate Area of Tension Reinforcement given Steel Ratio?

FIRST Step Consider the formula

A = (ρ steel ratio \cdot b \cdot d')

Next Step Substitute values of Variables

∴

A = (37.9 \cdot 26.5mm \cdot 7547.15mm)

Next Step Convert Units

∴

A = (37.9 \cdot 0.0265m \cdot 7.5472m)

Next Step Prepare to Evaluate

∴

A = (37.9 \cdot 0.0265 \cdot 7.5472)

Next Step Evaluate

∴

A = 7.5799801025m²

LAST Step Rounding Answer

∴

A = 7.58m²

Area of Tension Reinforcement given Steel Ratio Formula Elements

Variables

Area of Tension Reinforcement

Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Tension Reinforcement

Steel Ratio

Steel Ratio is defined as the ratio of steel to the beam area at which the yielding of steel happens simultaneously with the crushing of concrete.

Symbol: ρ_{steel ratio}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Steel Ratio

Beam Width

Beam Width is defined as the shortest/least measurement of the beam.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Beam Width

Distance from Compression to Centroid Reinforcment

Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).

Symbol: d'

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Compression to Centroid Reinforcment

Other formulas in Singly Reinforced Rectangular Sections category

Go Modular Ratio

m = \frac{E s}{E c}

Go Stress in Steel with Tension Reinforcement only

f TS = \frac{m \cdot f comp stress \cdot (1 - k)}{k}

Go Distance from Extreme Compression to Centroid given Steel Ratio

d' = \frac{A}{b \cdot ρ steel ratio}

Go Beam Width given Steel Ratio

b = \frac{A}{d' \cdot ρ steel ratio}

How to Evaluate Area of Tension Reinforcement given Steel Ratio?

Area of Tension Reinforcement given Steel Ratio evaluator uses Area of Tension Reinforcement = (Steel Ratio*Beam Width*Distance from Compression to Centroid Reinforcment) to evaluate the Area of Tension Reinforcement, The Area of Tension Reinforcement given Steel Ratio is defined as the product of of steel ratio, beam width and the distance from extreme compression to centroid of reinforcement. Area of Tension Reinforcement is denoted by A symbol.

How to evaluate Area of Tension Reinforcement given Steel Ratio using this online evaluator? To use this online evaluator for Area of Tension Reinforcement given Steel Ratio, enter Steel Ratio (ρ_{steel ratio}), Beam Width (b) & Distance from Compression to Centroid Reinforcment (d') and hit the calculate button.

FAQs on Area of Tension Reinforcement given Steel Ratio

What is the formula to find Area of Tension Reinforcement given Steel Ratio?

The formula of Area of Tension Reinforcement given Steel Ratio is expressed as Area of Tension Reinforcement = (Steel Ratio*Beam Width*Distance from Compression to Centroid Reinforcment). Here is an example- 9.999974 = (37.9*0.0265*7.54715).

How to calculate Area of Tension Reinforcement given Steel Ratio?

With Steel Ratio (ρ_{steel ratio}), Beam Width (b) & Distance from Compression to Centroid Reinforcment (d') we can find Area of Tension Reinforcement given Steel Ratio using the formula - Area of Tension Reinforcement = (Steel Ratio*Beam Width*Distance from Compression to Centroid Reinforcment).

Can the Area of Tension Reinforcement given Steel Ratio be negative?

No, the Area of Tension Reinforcement given Steel Ratio, measured in Area cannot be negative.

Which unit is used to measure Area of Tension Reinforcement given Steel Ratio?

Area of Tension Reinforcement given Steel Ratio is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Tension Reinforcement given Steel Ratio can be measured.

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Area of Tension Reinforcement given Steel Ratio Formula

Area of Tension Reinforcement given Steel Ratio Example

Area of Tension Reinforcement given Steel Ratio Solution

Area of Tension Reinforcement given Steel Ratio Formula Elements

Other formulas in Singly Reinforced Rectangular Sections category

How to Evaluate Area of Tension Reinforcement given Steel Ratio?

FAQs on Area of Tension Reinforcement given Steel Ratio

Variable Name