Beam Width given Steel Ratio Calculator

✖Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.ⓘ Area of Tension Reinforcement [A]			+10% -10%
✖Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).ⓘ Distance from Compression to Centroid Reinforcment [d']			+10% -10%
✖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.ⓘ Steel Ratio [ρ_{steel ratio}]			+10% -10%

✖Beam Width is defined as the shortest/least measurement of the beam.ⓘ Beam Width given Steel Ratio [b]

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Formula

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Beam Width given Steel Ratio

Formula

`"b" = ("A")/("d'"*"ρ"_{"steel ratio"})`

Example

`"34.96051mm"=("10m²")/("7547.15mm"*"37.9")`

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Beam Width given Steel Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Beam Width = (Area of Tension Reinforcement)/(Distance from Compression to Centroid Reinforcment*Steel Ratio)
b = (A)/(d'*ρ_{steel ratio})
This formula uses 4 Variables

Variables Used

Beam Width - (Measured in Meter) - Beam Width is defined as the shortest/least measurement of the beam.
Area of Tension Reinforcement - (Measured in Square Meter) - Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.
Distance from Compression to Centroid Reinforcment - (Measured in Meter) - Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).
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.

STEP 1: Convert Input(s) to Base Unit

Area of Tension Reinforcement: 10 Square Meter --> 10 Square Meter No Conversion Required
Distance from Compression to Centroid Reinforcment: 7547.15 Millimeter --> 7.54715 Meter (Check conversion here)
Steel Ratio: 37.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (A)/(d'*ρ_{steel ratio}) --> (10)/(7.54715*37.9)

Evaluating ... ...

b = 0.0349605139349375

STEP 3: Convert Result to Output's Unit

0.0349605139349375 Meter -->34.9605139349375 Millimeter (Check conversion here)

FINAL ANSWER

34.9605139349375 ≈ 34.96051 Millimeter <-- Beam Width

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Behaviour in Flexure » Design of Beam and Slab » Singly Reinforced Rectangular Sections » Beam Width given Steel Ratio

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Coorg Institute of Technology (CIT), Coorg

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< 7 Singly Reinforced Rectangular Sections Calculators

Stress in Steel with Tension Reinforcement only

Go Tensile Stress in Steel = (Modular Ratio*Compressive Stress at Extreme Concrete Surface*(1-Ratio of Depth))/(Ratio of Depth)

Distance from Extreme Compression to Centroid given Steel Ratio

Go Distance from Compression to Centroid Reinforcment = (Area of Tension Reinforcement)/(Beam Width*Steel Ratio)

Beam Width given Steel Ratio

Go Beam Width = (Area of Tension Reinforcement)/(Distance from Compression to Centroid Reinforcment*Steel Ratio)

Steel Ratio

Go Steel Ratio = (Area of Tension Reinforcement)/(Beam Width*Distance from Compression to Centroid Reinforcment)

Area of Tension Reinforcement given Steel Ratio

Go Area of Tension Reinforcement = (Steel Ratio*Beam Width*Distance from Compression to Centroid Reinforcment)

Modular Ratio

Go Modular Ratio = (Modulus of Elasticity of Steel)/(Modulus of Elasticity of Concrete)

Lever Arm Depth Factor

Go Constant j = 1-(Ratio of Depth/3)

Beam Width given Steel Ratio Formula

Beam Width = (Area of Tension Reinforcement)/(Distance from Compression to Centroid Reinforcment*Steel Ratio)
b = (A)/(d'*ρ_{steel ratio})

What is Steel Ratio?

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

What is Maximum Steel Ratio?

The maximum reinforcement ratio is the largest steel area that can be put into concrete members like columns and beam. Finally, the required reinforcement area of the designed concrete member should not exceed the maximum reinforcement ratio and should be less than the minimum reinforcement ratio.

How to Calculate Beam Width given Steel Ratio?

Beam Width given Steel Ratio calculator uses Beam Width = (Area of Tension Reinforcement)/(Distance from Compression to Centroid Reinforcment*Steel Ratio) to calculate 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 calculate Beam Width given Steel Ratio using this online calculator? To use this online calculator 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. Here is how the Beam Width given Steel Ratio calculation can be explained with given input values -> 26500.07 = (10)/(7.54715*37.9).

FAQ

What is Beam Width given Steel Ratio?

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 and is represented as b = (A)/(d'*ρ_{steel ratio}) or Beam Width = (Area of Tension Reinforcement)/(Distance from Compression to Centroid Reinforcment*Steel Ratio). Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section, Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm) & 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.

How to calculate Beam Width given Steel Ratio?

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 is calculated using Beam Width = (Area of Tension Reinforcement)/(Distance from Compression to Centroid Reinforcment*Steel Ratio). To calculate Beam Width given Steel Ratio, you need Area of Tension Reinforcement (A), Distance from Compression to Centroid Reinforcment (d') & Steel Ratio (ρ_{steel ratio}). With our tool, you need to enter the respective value for Area of Tension Reinforcement, Distance from Compression to Centroid Reinforcment & Steel Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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