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Beam Width given Steel Ratio Formula

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

b = \frac{A}{d' \cdot ρ steel ratio}

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

Beam Width given Steel Ratio Example

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Here is how the Beam Width given Steel Ratio equation looks like with Values.

Here is how the Beam Width given Steel Ratio equation looks like with Units.

Here is how the Beam Width given Steel Ratio equation looks like.

34.9605 = \frac{10}{7547.15 \cdot 37.9}

34.9605mm = \frac{10m²}{7547.15mm \cdot 37.9}

34.9605 = \frac{10}{7547.15 \cdot 37.9}

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Beam Width given Steel Ratio Solution

Follow our step by step solution on how to calculate Beam Width given Steel Ratio?

FIRST Step Consider the formula

b = \frac{A}{d' \cdot ρ steel ratio}

Next Step Substitute values of Variables

∴

b = \frac{10m²}{7547.15mm \cdot 37.9}

Next Step Convert Units

∴

b = \frac{10m²}{7.5472m \cdot 37.9}

Next Step Prepare to Evaluate

∴

b = \frac{10}{7.5472 \cdot 37.9}

Next Step Evaluate

∴

b = 0.0349605139349375m

Next Step Convert to Output's Unit

∴

b = 34.9605139349375mm

LAST Step Rounding Answer

∴

b = 34.9605mm

Beam Width given Steel Ratio Formula Elements

Variables

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

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

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

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

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 Area of Tension Reinforcement given Steel Ratio

A = (ρ steel ratio \cdot b \cdot d')

How to Evaluate Beam Width given Steel Ratio?

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

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

FAQs on Beam Width given Steel Ratio

What is the formula to find Beam Width given Steel Ratio?

The formula of Beam Width given Steel Ratio is expressed as Beam Width = (Area of Tension Reinforcement)/(Distance from Compression to Centroid Reinforcment*Steel Ratio). Here is an example- 26500.07 = (10)/(7.54715*37.9).

How to calculate Beam Width given Steel Ratio?

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

Can the Beam Width given Steel Ratio be negative?

No, the Beam Width given Steel Ratio, measured in Length cannot be negative.

Which unit is used to measure Beam Width given Steel Ratio?

Beam Width given Steel Ratio is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Beam Width given Steel Ratio can be measured.

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Beam Width given Steel Ratio Formula

Beam Width given Steel Ratio Example

Beam Width given Steel Ratio Solution

Beam Width given Steel Ratio Formula Elements

Other formulas in Singly Reinforced Rectangular Sections category

How to Evaluate Beam Width given Steel Ratio?

FAQs on Beam Width given Steel Ratio

Variable Name