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%
✖Beam Width is defined as the shortest/least measurement of the beam.ⓘ Beam Width [b]			+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}]

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Formula

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Steel Ratio

Formula

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

Example

`"50.00013"=("10m²")/("26.5mm"*"7547.15mm")`

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Steel Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Beam Width - (Measured in Meter) - Beam Width is defined as the shortest/least measurement of the beam.
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).

STEP 1: Convert Input(s) to Base Unit

Area of Tension Reinforcement: 10 Square Meter --> 10 Square Meter No Conversion Required
Beam Width: 26.5 Millimeter --> 0.0265 Meter (Check conversion here)
Distance from Compression to Centroid Reinforcment: 7547.15 Millimeter --> 7.54715 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_{steel ratio} = (A)/(b*d') --> (10)/(0.0265*7.54715)

Evaluating ... ...

ρ_{steel ratio} = 50.0001312503445

STEP 3: Convert Result to Output's Unit

50.0001312503445 --> No Conversion Required

FINAL ANSWER

50.0001312503445 ≈ 50.00013 <-- Steel Ratio

(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 » Steel Ratio

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

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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)

Steel Ratio Formula

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

What is the Ratio of Steel in Concrete Slab?

The Ratio of Steel in Concrete constitutes thumb Rule for Steel in slab as 1% – 1.5% of wet volume 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 Steel Ratio?

Steel Ratio calculator uses Steel Ratio = (Area of Tension Reinforcement)/(Beam Width*Distance from Compression to Centroid Reinforcment) to calculate the Steel Ratio, The Steel Ratio is defined as the ratio of area of tension reinforcement to that of the product of beam width and distance from extreme compression to centroid of reinforcement. Steel Ratio is denoted by ρ_{steel ratio} symbol.

How to calculate Steel Ratio using this online calculator? To use this online calculator for Steel Ratio, enter Area of Tension Reinforcement (A), Beam Width (b) & Distance from Compression to Centroid Reinforcment (d') and hit the calculate button. Here is how the Steel Ratio calculation can be explained with given input values -> 50.00013 = (10)/(0.0265*7.54715).

FAQ

What is Steel Ratio?

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

How to calculate Steel Ratio?

The Steel Ratio is defined as the ratio of area of tension reinforcement to that of the product of beam width and distance from extreme compression to centroid of reinforcement is calculated using Steel Ratio = (Area of Tension Reinforcement)/(Beam Width*Distance from Compression to Centroid Reinforcment). To calculate Steel Ratio, you need Area of Tension Reinforcement (A), Beam Width (b) & Distance from Compression to Centroid Reinforcment (d'). With our tool, you need to enter the respective value for Area of Tension Reinforcement, Beam Width & Distance from Compression to Centroid Reinforcment 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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