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Area of Tension Reinforcement given Steel Ratio Calculator

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✖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 [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%

✖Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.ⓘ Area of Tension Reinforcement given Steel Ratio [A]

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Area of Tension Reinforcement given Steel Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Steel Ratio: 37.9 --> 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

A = (ρ_{steel ratio}*b*d') --> (37.9*0.0265*7.54715)

Evaluating ... ...

A = 7.5799801025

STEP 3: Convert Result to Output's Unit

7.5799801025 Square Meter --> No Conversion Required

FINAL ANSWER

7.5799801025 ≈ 7.57998 Square Meter <-- Area of Tension Reinforcement

(Calculation completed in 00.021 seconds)

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

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< Singly Reinforced Rectangular Sections Calculators

Stress in Steel with Tension Reinforcement only

LaTeX 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

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

Area of Tension Reinforcement given Steel Ratio

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

Modular Ratio

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

Area of Tension Reinforcement given Steel Ratio Formula

LaTeX Go

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

What is Tension reinforcement?

Tension reinforcement designed to carry tensile stresses such as those in the bottom of a simple beam.

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 Area of Tension Reinforcement given Steel Ratio?

Area of Tension Reinforcement given Steel Ratio calculator uses Area of Tension Reinforcement = (Steel Ratio*Beam Width*Distance from Compression to Centroid Reinforcment) to calculate 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 calculate Area of Tension Reinforcement given Steel Ratio using this online calculator? To use this online calculator 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. Here is how the Area of Tension Reinforcement given Steel Ratio calculation can be explained with given input values -> 9.999974 = (37.9*0.0265*7.54715).

FAQ

What is Area of Tension Reinforcement given Steel Ratio?

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 and is represented as A = (ρ_{steel ratio}*b*d') or Area of Tension Reinforcement = (Steel Ratio*Beam Width*Distance from Compression to Centroid Reinforcment). 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, 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 Area of Tension Reinforcement given Steel Ratio?

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 is calculated using Area of Tension Reinforcement = (Steel Ratio*Beam Width*Distance from Compression to Centroid Reinforcment). To calculate Area of Tension Reinforcement given Steel Ratio, you need Steel Ratio (ρ_{steel ratio}), Beam Width (b) & Distance from Compression to Centroid Reinforcment (d'). With our tool, you need to enter the respective value for Steel Ratio, 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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