Cross-Sectional Area of Compressive Reinforcing Calculator

✖Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section.ⓘ Bending Moment of Considered Section [B_M]			+10% -10%
✖Bending Moment of Singly reinforced Beam is the bending moment that would be carried by a beam of balanced design and same dimensions with tensile reinforcing only.ⓘ Bending Moment of Singly reinforced Beam [M']			+10% -10%
✖Modular Ratio is the ratio of modulus of elasticity of steel and concrete. Concrete has varying moduli as it is not a perfectly elastic material. essentially, m= Es/Ec.ⓘ Modular Ratio [m]			+10% -10%
✖Extreme Compressive Stress of Concrete is the stress on the extreme fiber of concrete surface.ⓘ Extreme Compressive Stress of Concrete [f_EC]			+10% -10%
✖Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.ⓘ Effective Depth of Beam [d_eff]			+10% -10%

✖Area of Compression Reinforcement is the amount of steel required in the compression zone.ⓘ Cross-Sectional Area of Compressive Reinforcing [A_s']

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Cross-Sectional Area of Compressive Reinforcing

Formula

`"A"_{"s'"} = ("B"_{"M"}-"M'")/("m"*"f"_{"EC"}*"d"_{"eff"})`

Example

`"20.61263mm²"=("49.5kN*m"-"16.5kN*m")/("8"*"50.03MPa"*"4m")`

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Cross-Sectional Area of Compressive Reinforcing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Compression Reinforcement = (Bending Moment of Considered Section-Bending Moment of Singly reinforced Beam)/(Modular Ratio*Extreme Compressive Stress of Concrete*Effective Depth of Beam)
A_s' = (B_M-M')/(m*f_EC*d_eff)
This formula uses 6 Variables

Variables Used

Area of Compression Reinforcement - (Measured in Square Meter) - Area of Compression Reinforcement is the amount of steel required in the compression zone.
Bending Moment of Considered Section - (Measured in Newton Meter) - Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section.
Bending Moment of Singly reinforced Beam - (Measured in Newton Meter) - Bending Moment of Singly reinforced Beam is the bending moment that would be carried by a beam of balanced design and same dimensions with tensile reinforcing only.
Modular Ratio - Modular Ratio is the ratio of modulus of elasticity of steel and concrete. Concrete has varying moduli as it is not a perfectly elastic material. essentially, m= Es/Ec.
Extreme Compressive Stress of Concrete - (Measured in Pascal) - Extreme Compressive Stress of Concrete is the stress on the extreme fiber of concrete surface.
Effective Depth of Beam - (Measured in Meter) - Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.

STEP 1: Convert Input(s) to Base Unit

Bending Moment of Considered Section: 49.5 Kilonewton Meter --> 49500 Newton Meter (Check conversion here)
Bending Moment of Singly reinforced Beam: 16.5 Kilonewton Meter --> 16500 Newton Meter (Check conversion here)
Modular Ratio: 8 --> No Conversion Required
Extreme Compressive Stress of Concrete: 50.03 Megapascal --> 50030000 Pascal (Check conversion here)
Effective Depth of Beam: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_s' = (B_M-M')/(m*f_EC*d_eff) --> (49500-16500)/(8*50030000*4)

Evaluating ... ...

A_s' = 2.06126324205477E-05

STEP 3: Convert Result to Output's Unit

2.06126324205477E-05 Square Meter -->20.6126324205477 Square Millimeter (Check conversion here)

FINAL ANSWER

20.6126324205477 ≈ 20.61263 Square Millimeter <-- Area of Compression Reinforcement

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Behaviour in Flexure » Design of Beam and Slab » Doubly Reinforced Rectangular Sections » Cross-Sectional Area of Compressive Reinforcing

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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NSS College of Engineering (NSSCE), Palakkad

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< 3 Doubly Reinforced Rectangular Sections Calculators

Cross-Sectional Area of Compressive Reinforcing

Go Area of Compression Reinforcement = (Bending Moment of Considered Section-Bending Moment of Singly reinforced Beam)/(Modular Ratio*Extreme Compressive Stress of Concrete*Effective Depth of Beam)

Total Cross-Sectional Area of Tensile Reinforcing

Go Cross-Sectional Area = 8*Bending Moment/(7*Reinforcement Stress*Depth of Beam)

Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing

Go Bending Moment = Cross-Sectional Area*7*Reinforcement Stress*Depth of Beam/8

Cross-Sectional Area of Compressive Reinforcing Formula

Define Compressive Reinforcing

Reinforced concrete, concrete in which steel is embedded in such a manner that the two materials act together in resisting forces. The reinforcing steel—rods, bars, or mesh—absorbs the tensile, shear, and sometimes the compressive stresses in a concrete structure.

How to Calculate Cross-Sectional Area of Compressive Reinforcing?

Cross-Sectional Area of Compressive Reinforcing calculator uses Area of Compression Reinforcement = (Bending Moment of Considered Section-Bending Moment of Singly reinforced Beam)/(Modular Ratio*Extreme Compressive Stress of Concrete*Effective Depth of Beam) to calculate the Area of Compression Reinforcement, The Cross-Sectional Area of Compressive Reinforcing formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to some specified axis at a point. . Area of Compression Reinforcement is denoted by A_s' symbol.

How to calculate Cross-Sectional Area of Compressive Reinforcing using this online calculator? To use this online calculator for Cross-Sectional Area of Compressive Reinforcing, enter Bending Moment of Considered Section (B_M), Bending Moment of Singly reinforced Beam (M'), Modular Ratio (m), Extreme Compressive Stress of Concrete (f_EC) & Effective Depth of Beam (d_eff) and hit the calculate button. Here is how the Cross-Sectional Area of Compressive Reinforcing calculation can be explained with given input values -> 2.1E+7 = (49500-16500)/(8*50030000*4).

FAQ

What is Cross-Sectional Area of Compressive Reinforcing?

The Cross-Sectional Area of Compressive Reinforcing formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to some specified axis at a point. and is represented as A_s' = (B_M-M')/(m*f_EC*d_eff) or Area of Compression Reinforcement = (Bending Moment of Considered Section-Bending Moment of Singly reinforced Beam)/(Modular Ratio*Extreme Compressive Stress of Concrete*Effective Depth of Beam). Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section, Bending Moment of Singly reinforced Beam is the bending moment that would be carried by a beam of balanced design and same dimensions with tensile reinforcing only, Modular Ratio is the ratio of modulus of elasticity of steel and concrete. Concrete has varying moduli as it is not a perfectly elastic material. essentially, m= Es/Ec, Extreme Compressive Stress of Concrete is the stress on the extreme fiber of concrete surface & Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.

How to calculate Cross-Sectional Area of Compressive Reinforcing?

The Cross-Sectional Area of Compressive Reinforcing formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to some specified axis at a point. is calculated using Area of Compression Reinforcement = (Bending Moment of Considered Section-Bending Moment of Singly reinforced Beam)/(Modular Ratio*Extreme Compressive Stress of Concrete*Effective Depth of Beam). To calculate Cross-Sectional Area of Compressive Reinforcing, you need Bending Moment of Considered Section (B_M), Bending Moment of Singly reinforced Beam (M'), Modular Ratio (m), Extreme Compressive Stress of Concrete (f_EC) & Effective Depth of Beam (d_eff). With our tool, you need to enter the respective value for Bending Moment of Considered Section, Bending Moment of Singly reinforced Beam, Modular Ratio, Extreme Compressive Stress of Concrete & Effective Depth of Beam 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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