Basics of Bar Bending Schedule Formulas | BBS Formula

Looking for accurate bar bending schedule formulas to calculate reinforcement in your construction project? Follow this Step by Step guide on bbs formulas, including cutting length calculations and tips for using excel for reinforcement calculations.

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Bar Bending Schedule Calculation Basic Formulas:

The Bar Bending Schedule Formulas are mathematical calculations used to determine the proper dimensions and quantities of steel bars, or rebars, needed for a construction project. These basic bbs formula are an integral part of the bar bending schedule. With the help of these formula we can do the cutting length or reinforcement calculation in Excel. Also discuss about how to make bar bending schedule reinforcement calculation.


What is Bar Bending Schedule (BBS) ?

A Bar Bending Schedule is the process of bending and cutting of the reinforcement bar into the required shape (according to the drawing requirement) and making It includes information about the:

  • Location & Marking of Bar
  • Type of Bar
  • Size of Bar
  • Cutting Length of Bar
  • Number of Bar
  • Bending Detail of Bar
  • Total Quantity

of each bar in a reinforcement drawing of a building structure. This process of listing is called Scheduling.


Steps in preparing a bar bending schedule (BBS) using formulas:

We should follow the following steps during the preparation of bar bending schedule:

  1. Inspect each face’s concrete cover.
  2. Inspect each structural element’s tension and compression bars’ lapping lengths.
  3. Verify each bar’s bent direction.
  4. Arrange the structural components by floor. For instance, before moving on to the next floor, all ground floor components must be planned, and all footing must be completed before moving on to the starter columns.
  5. The bar mark must climb steadily starting at 01 points.
  6. Solid understanding of the details and factors influencing the actual construction.
  7. Double-check the bar bending schedule calculation to ensure accuracy and minimize errors.
  8. Review the bar bending schedule to ensure that it is complete and accurate.
  9. Use the bar bending schedule as a reference during the construction process to guide the workers in cutting, bending, and placing the rebars.

Basics of Bar Bending Schedule Formulas | BBS Calculation Formulas:


Diameter of Reinforcement Bars in MM:

Diameter of Reinforcement bars in mm, bar bending schedule formulas, bbs formula, bar bending schedule calculation, cutting length formula, reinforcement calculation excel
Diameter of Reinforcement bars in mm

Standard Length of Bar in Meter:

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Standard Length of Bar in Meters | BBS Formula

Diameter of Reinforcement Bars in Inches/No’s:

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Diameter of Reinforcement Bars in inches | BBS formula

Standard Length of Bar in Feet:

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Standard Length of Rebar in Feet | BBS Formula

Weight of Steel Bar Formula Per Meter (Kg/m):

Weight of Steel Bar Formula in Kg Per Meter (Kg/m), bar bending schedule formulas, bbs formula, bar bending schedule calculation, cutting length formula, reinforcement calculation excel
Weight of Steel Bar Formula in Kg Per Meter (Kg/m) | bbs formula
Diameter of Bar (mm) Unit weight in kg/m
8 0.395
10 0.617
12 0.889
16 1.580
20 2.469
25 3.858
32 6.321
40 9.877

Weight of One Steel Bar in Kg/Bar Formula:

Weight of One Steel Bar in Kg/Bar Formula, bar bending schedule formulas, bbs formula, bar bending schedule calculation, cutting length formula, reinforcement calculation excel
Weight of One Steel Bar in Kg/Bar Formula:

Weight of Steel Bar Formula Per Feet (Kg/ft):

Weight of Steel Bar Formula Per Feet (Kg/ft), bar bending schedule formulas, bbs formula, bar bending schedule calculation, cutting length formula, reinforcement calculation excel
Weight of Steel Bar Formula Per Feet (Kg/ft)

Weight of One Steel Bar in Kg/Bar Formula:

Weight of One Steel Bar in Kg/Bar Formula
Weight of One Steel Bar in Kg/Bar | BBS Formula

Cutting Length of Main Bar with Hook Formula:

Cutting Length of Main Bar with Hook Formula
Cutting Length of Main Bar with Hook Formula

Where, L = Span – (Conc. Cover x 2), Note: Hook Length in Stirrups should be 10d or 75mm, where d is dia of bar.


Cutting Length of Main Bar with Bend Formula:

Cutting Length of Main Bar with Bend Formula
Cutting Length of Main Bar with Bend Formula

Where, L = Span – (Conc. Cover x 2), if you need bend deduction then you should deduct 4d (2d + 2d) for two 90 Deg bends from main bar cutting length.


Overlapping Formula :

Overlapping formula | Reinforcement Calculation Excel

Concrete Cover or Clear Cover in Reinforcement:

Concrete Cover or Clear Cover in Reinforcement | bar bending schedule formula calculation

Clear Cover for:

  • Footing: 50mm
  • Column: 40mm
  • Beam: 25mm
  • Slab: 20mm
  • Staircase: 15mm
  • Chajja: 15mm
  • Pile: 60mm
  • Pile Cap: 60mm

Spacing in Reinforcement:

Spacing in Reinforcement

Number of Bars Formula:

Number of Bars Formula

Number of Stirrups Formula:

Number of Stirrups Formula
Number of Stirrups Formula

Bend Deduction Formula in Bar Bending:

Bend increases the length of bar. So we need lesser length than we see in the drawing. So cutting length is taken less then the required length:

Bend Deduction Formula in Bar Bending, bar bending schedule formulas, bbs formula, cutting length formula, bar bending schedule calculation, reinforcement calculation excel
Bend Deduction Formula in Bar Bending

Cutting Length of Crank or Bent Up Bar Formula:

Cutting Length of Crank or Bent Up Bar Formula

Bend Deduction: If you need bend deduction then you should deduct 4d (1d + 1d + 1d + 1d) for four 45 Deg bends from crank or bent up bar cutting length.


Cutting Length of Rectangular Stirrups Formula:

Cutting Length of Rectangular Stirrups Formula, bar bending schedule formulas, bbs formula, cutting length formula, bar bending schedule calculation, reinforcement calculation excel
Cutting Length of Rectangular Stirrups Formula

Bend Deduction: If you need bend deduction then you should deduct 6d (2d + 2d + 2d) for three 90 Deg bends & 6d (3d + 3d) for two 135 Deg hook bends from rectangular stirrup cutting length.


Cutting Length of Open-Loop Rectangular Stirrups Formula:

Cutting Length of Open-Loop Rectangular Stirrups Formula, bar bending schedule formulas, bbs formula, cutting length formula, bar bending schedule calculation, reinforcement calculation excel
Cutting Length of Open-Loop Rectangular Stirrups Formula

Cutting Length of Triangular Stirrups Formula:

Cutting Length of Triangular Stirrups Formula
Cutting Length of Triangular Stirrups Formula

Bend Deduction: If you need bend deduction then you should deduct 12d (3d + 3d + 3d + 3d) for four 135 Deg bends from triangular stirrup cutting length.


Cutting Length of Circular Stirrups Formula:

Cutting Length of Circular Stirrups Formula, bar bending schedule formulas, bbs formula, cutting length formula, bar bending schedule calculation, reinforcement calculation excel
Cutting Length of Circular Stirrups Formula

Bend Deduction: If you need bend deduction then you should deduct 6d (3d + 3d) for two 135 Deg hook bends from circular stirrup cutting length.


Cutting Length of Diamond Stirrups Formula:

Cutting Length of Diamond Stirrups Formula
Cutting Length of Diamond Stirrups Formula

Bend Deduction: If you need bend deduction then you should deduct 6d (2d + 2d + 2d) for three 90 Deg bends & 6d (3d + 3d) for two 135 Deg hook bends from diamond stirrup cutting length.


Cutting Length of Spiral or Helix Stirrups Formula:

Cutting Length of Spiral or Helix Stirrups Formula
Cutting Length of Spiral or Helix Stirrups Formula

Bend Deduction: If you need bend deduction then you should deduct 6d (3d + 3d) for two 135 Deg hook bends from spiral ring cutting length.


Cutting Length of Chair Bar Formula:

Cutting Length of Chair Bar Formula
Cutting Length of Chair Bar Formula

Bend Deduction: If you need bend deduction then you should deduct 8d (2d + 2d + 2d) for four 90 Deg bends from chair bar cutting length.


Cutting Length of Trapezoidal Stirrup Formula:

Cutting Length of Trapezoidal Stirrup Formula
Cutting Length of Trapezoidal Stirrup Formula

Cutting Length of Shear Key Bar or Stirrup Formula:

Cutting Length of Shear Key Bar or Stirrup Formula
Cutting Length of Shear Key Bar or Stirrup Formula

Cut Length of Haunch Bar Formula:

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Cutting Length of Haunch Bar Formula

Cutting Length of Haunch Bar = S + Y + S (Where S is given as lap)

As we Know that

Y = X / Cos 45

X = (Thickness of wall – Slab Cover) + (Haunch Size) + (Wall Thickness without covers – Z)

Where, Z = Cover – B

B = A / Cos 45 A 

we can find the A by using Pythagoras theorem Hyp2 = Base2 + Perp2

For More detail please see the Mathematical Example

Bend Deduction: If you need bend deduction then you should deduct 2d (1d + 1d) for two 45 Deg bends from haunch bar cutting length.


Cut Length of Bracket Bar Formula – Case 1:

Cutting Length of Bracket Bar Formula – Case 1

Cut Length of Bracket Bar Formula – Case 2:

Cutting Length of Bracket Bar Formula - Case 2
Cutting Length of Bracket Bar Formula – Case 2

Cut Length of Four Legged Stirrups Formula:

Cutting Length of Four Legged Stirrups Formula, bar bending schedule formulas, bbs formula, cutting length formula, bar bending schedule calculation, reinforcement calculation excel
Cutting Length of Four Legged Stirrups Formula

Cut Length of Six Legged Stirrups Formula:

For Calculating the Cutting Length of Stirrups, First of all we convert the stirrups in three parts (Stirrups 1, Stirrups 2, Stirrups 3)

Cutting Length of 6-Leggeed Stirrups = Length of Stirrups 1 + Length of Stirrups 2 + Length of Stirrups 3

Cut Length of Stirrups 1:

Cut Length Formula for Stirrup-1:

= [(2nos × a1) + (2nos. × b1) + (2nos. × hook length) – {(3nos. × 90° bend )+ (2nos. × 135° bend)}]

First, we will calculate the value of  a1 & b1 a1 = [(column width ) – {(2nos. × clear cover) + (2nos.× 1/2 dia. of stirrup-1 bar)}]

b1 = [ x + ( 2nos.× 1/2 dia. of  mid bar.) + ( 2nos. × 1/2 dia of stirrup-1 bar )]
First, we will find out the value of x
 
x = [column depth – {(2nos.×cover )+( 2nos.× dia. of stirrup-3)+ (2nos.× 1/2 dia. of outer bar)}] ÷ 3

Cut Length Formula for Stirrup-2:

= [(2nos × b2) + (2nos. × a2) + (2nos. × hook length) – { (3nos. × 90° bend )+ (2nos. × 135° bend)}]
 
First, we will calculate the value of  b2 & a2 b2 = [(column depth ) – {(2nos. × clear cover) + (2nos.× 1/2 dia. of stirrup-2)}]
 
a2 = [ y + ( 2nos.× 1/2 dia. of  mid bar.) + ( 2nos. × 1/2 dia of stirrup-2 )]
First, we will find out the value of y
 
y = [column width – {(2nos.×cover )+( 2nos.× dia. of stirrup-3)+ (2nos.× 1/2 dia. of outer bar)}] ÷ 3

Cutting Length Formula for Stirrup-3:

= [(2nos.× a3) + (2nos. × b3) + (2nos. × hook length) – {(3nos. × 90° bend )+ (2nos. × 135° bend)}]

First, we will calculate the value of  a3 & b3

a3 = [(column width ) – {(2nos. × clear cover) + (2nos.× 1/2 dia. of stirrup-3)}]

b3 = [(column depth ) – {(2nos. × clear cover) + (2nos.× 1/2 dia. of stirrup-3)}]


Cut Length of Mesh Bar Formula:

Cutting Length of Mesh Bar Formula, bar bending schedule formulas, bbs formula, bar bending schedule calculation, reinforcement calculation excel
Cutting Length of Mesh Bar Formula

Volume of Steel Reinforcement for Different RCC member:

RCC Member Volume of Steel by volume of Concrete
Slab 1.5% – 2%
Column 2.5% – 3%
Beam 2.5% – 3%

For Example,

for 10 M3 concrete in Column, considering 2.5% of steel Volume, the column has a 0.25 M3 of steel. Calculate the total weight of steel and steel weight per M3.

Volume of Steel for 10m3 Concrete = 0.25 m3

Wight of Steel Per M3

Concrete = total Volume of steel X Density of Steel (i.e. 7850 Kg/M3)

Weight of steel for 10 M3 concrete = 0.25 X 7850 = 1962.5 Kg.

For 10 m3 Concrete,

the total steel required is 1962.5 Kg. For 1 m3 Concrete, the total Steel required is 196.25 Kg.


Rolling Margin of Reinforcement Steel Bar Formula:

Cut reinforcement bar into 3 pieces, each length 1 meter Weight Each piece differently i.e. 10 mm Día Bar,

1st one weight 0.617,

2nd one weight 0.62,

3rd one weight 0.625

Now Calculate the rolling margin of Reinforcement bar

Rolling Margin of Reinforcement Steel Bar Formula

Standard Hook and Bend Length Formula as per ACI 318:

Standard Hook and Bend Length Formula as per ACI 318

Development Length for Reinforcement Bars:

Development Length for Reinforcement Bars
bar bending schedule formulas, bbs formula, bar bending schedule calculation, reinforcement calculation excel

Advantages of Bar Bending Schedule:

  • Cutting Length and Bending of Reinforcement can be done.
  • BBS helps to avoid wastage of steel reinforcement and reduces project costs.
  • It helps to accurately estimate the steel reinforcement requirements for each structural member.
  • BBS is useful for auditing the reinforcement and checking for theft or pilferage.
  • It makes it easy and quick to prepare construction work bills for clients and contractors.

Why Steel is Used as Reinforcement:

  • Strong enough for cost-effective design of reinforced concrete structures.
  • Concrete is a weak material in tension, but steel has very good tensile strength. Therefore, steel is used in the tension zone.

  • The temperature coefficients of steel and concrete are nearly equal;.

  • when concrete shrinks in setting time, it provides proper bonding between steel and concrete.

  • Modulus of Elasticity of Steel is very high; this means that it can withstand great deformation without any permanent damage to itself.


Types of Reinforcement Bars:

  • Fe-250
  • Fe-415
  • Fe-500

Conclusion:

In conclusion, bar bending schedule formulas are essential for construction projects. They help in determining the correct quantity and size of steel bars, as well as calculating the cutting lengths and weight of each bar. Overall, bar bending schedules are a crucial aspect of any structure and should not be overlooked.


OTHER POSTS:

How to Calculate the Cutting Length of Spiral Bar or Helix Bar | BBS

How to Calculate Cutting Length of Stirrups

Difference between Plinth Level, Ground Level, Sill level and Lintel Level

How to Calculate Unit Weight of Steel Bars | Steel Weight Formula

How To Find Out The Cutting Length Of Main Bars & Circular Rings

Bar Bending Schedule (BBS) | BBS Step by Step Preparation | Excel Sheet

Bar Bending Schedule Basic Formulas | BBS Formula | What is BBS


Watch All BBS Example Videos on Youtube


FAQs:

What is a bar bending schedule?

A bar bending schedule is a detailed list that specifies the shapes, lengths, and quantities of steel bars or rebars that are required for a construction project. It is used as a guide for the workers who are responsible for cutting, bending, and placing the rebars in the concrete structures.

Who prepares a bar bending schedule?

A bar bending schedule is typically prepared by an engineer or a supervisor.

Why is a bar bending schedule important?

A bar bbs is important because it helps to ensure that the right amount of material is procured and used in the project, and that the bars are bent to the required shapes and sizes. It is a crucial component of the construction process because it helps to avoid errors and delays that can result from using the wrong quantities or sizes of rebars.

How is a bar bending schedule used?

A bar bending schedule is used as a reference for the workers who are responsible for cutting, bending, and placing the rebars in the concrete structures. It specifies the required shapes, lengths, and quantities or calculation of the rebars, and it is used to guide the workers in their tasks.

Are bar bending schedule formulas used in the preparation of a bar bending schedule?

Yes, bar bending schedule calculation formulas are mathematical calculations used to determine the proper dimensions and quantities of rebars needed for a construction project. These formulas are an integral part of the bar bending schedule, and they help to ensure that the schedule is accurate and complete.

 

7 COMMENTS

  1. Hi Waseem Raja,
    I really appreciate your educational post on civil perspectives. I am an Electrical Engineer and do learn alot of all you are posting.

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