Total Cross-Sectional Area of Tensile Reinforcing Calculator

✖The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.ⓘ Bending Moment [Mb_R]			+10% -10%
✖Reinforcement Stress as force per unit area that the force acts upon.ⓘ Reinforcement Stress [f_s]			+10% -10%
✖Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.ⓘ Depth of Beam [D_B]			+10% -10%

✖Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Total Cross-Sectional Area of Tensile Reinforcing [A_cs]

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Formula

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Total Cross-Sectional Area of Tensile Reinforcing

Formula

`"A"_{"cs"} = 8*"Mb"_{"R"}/(7*"f"_{"s"}*"D"_{"B"})`

Example

`"13.19639m²"=8*"53N*m"/(7*"1.7Pa"*"2.7m")`

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Total Cross-Sectional Area of Tensile Reinforcing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area = 8*Bending Moment/(7*Reinforcement Stress*Depth of Beam)
A_cs = 8*Mb_R/(7*f_s*D_B)
This formula uses 4 Variables

Variables Used

Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Bending Moment - (Measured in Newton Meter) - The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Reinforcement Stress - (Measured in Pascal) - Reinforcement Stress as force per unit area that the force acts upon.
Depth of Beam - (Measured in Meter) - Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 53 Newton Meter --> 53 Newton Meter No Conversion Required
Reinforcement Stress: 1.7 Pascal --> 1.7 Pascal No Conversion Required
Depth of Beam: 2.7 Meter --> 2.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_cs = 8*Mb_R/(7*f_s*D_B) --> 8*53/(7*1.7*2.7)

Evaluating ... ...

A_cs = 13.1963896669779

STEP 3: Convert Result to Output's Unit

13.1963896669779 Square Meter --> No Conversion Required

FINAL ANSWER

13.1963896669779 ≈ 13.19639 Square Meter <-- Cross-Sectional Area

(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 » Doubly Reinforced Rectangular Sections » Total Cross-Sectional Area of Tensile Reinforcing

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Indian Institute of Information Technology (IIIT), Bhopal

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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

Total Cross-Sectional Area of Tensile Reinforcing Formula

Cross-Sectional Area = 8*Bending Moment/(7*Reinforcement Stress*Depth of Beam)
A_cs = 8*Mb_R/(7*f_s*D_B)

Define Tensile Reinforcing

Reinforced concrete (RC), also called reinforced cement concrete (RCC), is a composite material in which concrete's relatively low tensile strength and ductility are compensated for by the inclusion of reinforcement having higher tensile strength or ductility. The reinforcement is usually, though not necessarily, steel bars (rebar) and is usually embedded passively in the concrete before the concrete sets.

How to Calculate Total Cross-Sectional Area of Tensile Reinforcing?

Total Cross-Sectional Area of Tensile Reinforcing calculator uses Cross-Sectional Area = 8*Bending Moment/(7*Reinforcement Stress*Depth of Beam) to calculate the Cross-Sectional Area, The Total Cross-Sectional Area of Tensile Reinforcing formula is defined as force per unit area that the force acts upon. Thus, Stresses are either tensile or compressive. Structural materials are chosen by their ability to resist tensile or compressive forces, depending upon the application. Cross-Sectional Area is denoted by A_cs symbol.

How to calculate Total Cross-Sectional Area of Tensile Reinforcing using this online calculator? To use this online calculator for Total Cross-Sectional Area of Tensile Reinforcing, enter Bending Moment (Mb_R), Reinforcement Stress (f_s) & Depth of Beam (D_B) and hit the calculate button. Here is how the Total Cross-Sectional Area of Tensile Reinforcing calculation can be explained with given input values -> 13.19639 = 8*53/(7*1.7*2.7).

FAQ

What is Total Cross-Sectional Area of Tensile Reinforcing?

The Total Cross-Sectional Area of Tensile Reinforcing formula is defined as force per unit area that the force acts upon. Thus, Stresses are either tensile or compressive. Structural materials are chosen by their ability to resist tensile or compressive forces, depending upon the application and is represented as A_cs = 8*Mb_R/(7*f_s*D_B) or Cross-Sectional Area = 8*Bending Moment/(7*Reinforcement Stress*Depth of Beam). The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend, Reinforcement Stress as force per unit area that the force acts upon & Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.

How to calculate Total Cross-Sectional Area of Tensile Reinforcing?

The Total Cross-Sectional Area of Tensile Reinforcing formula is defined as force per unit area that the force acts upon. Thus, Stresses are either tensile or compressive. Structural materials are chosen by their ability to resist tensile or compressive forces, depending upon the application is calculated using Cross-Sectional Area = 8*Bending Moment/(7*Reinforcement Stress*Depth of Beam). To calculate Total Cross-Sectional Area of Tensile Reinforcing, you need Bending Moment (Mb_R), Reinforcement Stress (f_s) & Depth of Beam (D_B). With our tool, you need to enter the respective value for Bending Moment, Reinforcement Stress & 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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