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Bar Bending Schedule Formulas As Per IS:2502-1963 | Unit Weight of Steel Bars

Bar Bending Schedule Formulas As Per IS_2502-196

Important Point

  • What Is Bar Bending Schedule?
    • Format of Bar Bending Schedule as per Code IS:2502-196 
  • Bar Bending Schedule Use Formulas
      • Op-1
      • Op-2
    • 2. Plan Bar Length 
    • 3. Bends and Hooks Forming End Anchorages ( As per IS 2502:1963 )
    • 4. Bar Bending Schedule Formulas as below (As per IS 2502:1963, P-8, Table-III )
    • Measurement of Bending Dimensions of Bars for Reinforced Concrete ( As per IS 2502:1963, P-8, Table-III )

What Is Bar Bending Schedule?

Bar bending is calculating steel quantity that calls bar bending schedule. The preparation of bar bending schedules is one of the final stages in any concrete design following the preparation and detailing of the working drawings.

Whereas the procedure is generally straightforward, it does require a certain amount of calculation which can readily be carried out with the aid of a computer program.

The program in this section calculates the lengths of reinforcing bars required and outputs a bar bending schedule table together with the total weight of steel.

Format of Bar Bending Schedule as per Code IS:2502-196 

Location Mark Designation Size and Type Number Per Set Number of Sets Total Number Length Shape ( All Dimensions Are in Accordance with This Standard Unless Otherwise Stated)
(1) (2) (3) (4) (5) (6) (7) (8)
Column C4 4R 25 N MS Road 25 mm 5 4 20 3000 Straight

is 2502

Also, read: What Is Construction Contract | Types of Engineering Contracts | Percentage-Rate Contract

Bar Bending Schedule Use Formulas

1. Unit Weight of Steel Bars

Density = Mass (weight of steel) / Volume

Density = 7850 Kg / m3 Steel Bar

Mass = Weight of Steel

D = Dia of Bar in mm

L = Lenght of M

Volume = πD2 /4 x 1000 mm

Weight of Steel = (7850) x (πD2 x L/4 )

Weight of Steel = (7850/1000 x 1000 x 1000 ) x ( 3.14 D2 /4 )

Weight of Steel = (7850/1000 x 1000 x 1000 ) x ( 3.14 D2 x 1000 x/4 )

Weight of Steel = 0.00785 x 0.785 D2

Weight of Steel =0.00616225 x D2

Weight of Steel = (0.00616225/1) x (D2 /1 )

Weight of Steel = D2 / 162.27  kg/m

Example

12 mm dia bar

Op-1

Weight of Steel = D2 / 162.27  mm

Weight of Steel = 122 / 162.27  mm

Weight of Steel = 144 / 162.27  mm

Weight of Steel = 0. 8874 Kg/m

Op-2

Weight of Steel = (7850) x (π122 x L/4 )

Weight of Steel = (7850/1000 x 1000 x 1000 ) x ( 3.14 122 /4 )

Weight of Steel = (7850/1000 x 1000 x 1000 ) x ( 3.14 122 x 1000 x/4 )

Weight of Steel = 0.00785 x 0.785 122

Weight of Steel =0.00616225 x 144

Weight of Steel = (0.00616225 x 144)

Weight of Steel = 0.8874 Kg/m

Also, read: Curing In Construction | Concrete Cure Time | Methods of curing

2. Plan Bar Length 

LL = Lenght of Steel

3. Bends and Hooks Forming End Anchorages ( As per IS 2502:1963 )

Hook

B Hook

Hera

k in 2 in the case of Mild Steel conforming, ( As per IS 2502:1963, P-6, Note-1 )

k in 3 in the case of Medium Tensile Steel conforming, ( As per IS 2502:1963, P-6, Note-1 )

k in 4 in the case of Cold-worked Steel conforming, ( As per IS 2502:1963, P-6, Note-1 )

Most IMP (As per IS 2502:1963, P-6, Table-II, Note )

H = Hook allowance taken as 9d, 11d, 13d, and 17d for k values 2, 3, 4 and 6 respectively and rounded off to the nearest 5 mm, but not less than 75 mm.
B = Bend allowance is taken as 5d, 5.5d, 6d, and 7d for k values 2, 3, 4 and 6 respectively and rounded off to the nearest 5 mm, but not less than 75 mm.

4. Bar Bending Schedule Formulas as below (As per IS 2502:1963, P-8, Table-III )

Measurement of Bending Dimensions of Bars for Reinforced Concrete ( As per IS 2502:1963, P-8, Table-III )

Also, read: What Is Sieve Analysis Test | Sive Analysis Test for Coarse Aggregate | Sive Analysis Test for Fine Aggregate

Ref No. Method of Measurement of Bending Dimensions Approx Total Length of Bar (L) Measured Along Centre Line Sketch and Dimensions to Be Given in Schedule Approx Total Length of Bar (L) Measured Along Centre Line – Mild Steel Approx Total Length of Bar (L) Measured Along Centre Line – Medium Tensile Steel

Approx Total Length of Bar (L) Measured Along Centre Line – Cold-worked Steel

A Chhaj ring+H 2A + E + C +9d + B Chhaj ring+line+h 2A + E + C +9d + 6d

2A + E + C +15d

2A + E + C +9d + 7d

2A + E + C +16d

2A + E + C +9d + 8d

2A + E + C +17d

B 4 Ring+Hook 4C + 24d 4 Ring+Hook+Line 4C + 24d 4C + 24d 4C + 24d
C 4 Ring 4C + 20d 4 Ring+Line 4C + 20d 4C + 20d 4C + 20d
D O typr Ring+Hook 2A + 3D + 22d O typr Ring+Hook+Line 2A + 3D + 22d 2A + 3D + 22d 2A + 3D + 22d
E O type Ring 2A + 3D + 22d O typr Ring+Line 2A + 3D + 22d 2A + 3D + 22d 2A + 3D + 22d
F Spiral Ring Where P is not greater than D/5
N = Number of complete and fractional turns
D = Internal dia
P = Pitch of helix
d = Size of barN π (D + d) + 8d
– N π (D + d) + 8d N π (D + d) + 8d N π (D + d) + 8d
G L + H Line-Hook L+H =
L + 4d+ d+2kd =
L + 4d +4d +d =
L + 9d
L+H =
L + 4d+ d+2kd =
L + (2 x 3)d +4d +d =
L + 11d
L+H =
L + 4d+ d+2kd =
L + (2 x 4 )d +4d +d =
L + 13d
H L + 2H Line-Both Hook L+2H =
L + 2 x (4d+ d+2kd) =
L + ( 4d +4d +d) x2 =
L + 18d
L+2H =
L + 2 x (4d+ d+2kd) =
L + ((2 x 3)d +4d +d ) x 2 =
L + 22d
L+2H =
L + 2 x (4d+ d+2kd) =
L + ((2 x 4 )d +4d +d ) x 2 =
L + 26d
I L + B B- line Hook L + B =
L +4d + kd =
L +4d + 2d =
L +6d
L + B =
L +4d + kd =
L +4d + 3d =
L +7d
L + B =
L +4d + kd =
L +4d + 4d =
L +8d
J L Both Hook L + 2B B-Line Hook L + 2B =
L + 2x (4d + kd) =
L +2 x (4d + 2d) =
L +12d
L + 2B =
L + 2x (4d + kd) =
L +2 x (4d + 3d) =
L +14d
L + 2B =
L + 2x (4d + kd) =
L +2 x (4d + 4d) =
L +16d
K Bend Where C is more than
3DA + C + E
Bend Line A + C + E A + C + E A + C + E
L Bend-hook If angle with horizontal is 45o or less, and R is 12d or less

A + C + E + 2H
or
L + 2H + C – √ ( C2 – D2 )

Bend-hook-Line A + C + E + 18d
or
L + 18d + C – √ ( C2 – D2 )
A + C + E + 22d
or
L + 22d + C – √ ( C2 – D2 )
A + C + E + 26d
or
L + 26d + C – √ ( C2 – D2 )
M Bend-hook If angle with horizontal is 45o or less, and R is 12d or less

A + C1 + C2 + E + F +2H
or
L +C1 + C2 + 2H – √ ( C12 – D12 ) – √ ( C22 – D22 )

Bend-hook-Line A + C1 + C2 + E + F +18d
or
L +C1 + C2 + 18d – √ ( C12 – D12 ) – √ ( C22 – D22 )
A + C1 + C2 + E + F +22d
or
L +C1 + C2 + 22d – √ ( C12 – D12 ) – √ ( C22 – D22 )
A + C1 + C2 + E + F +26d
or
L +C1 + C2 + 26d – √ ( C12 – D12 ) – √ ( C22 – D22 )
N L Bar A + E – 0.5 R – d L Bar-Line A + E – 0.5 R – d A + E – 0.5 R – d A + E – 0.5 R – d
O L Bar- U A + E – 0.5 R – d + 2B L Bar- U-line A + E – 0.5 R – d + 12d A + E – 0.5 R – d + 14d A + E – 0.5 R – d + 16d
P L Bar- Hook A + E – 0.5 R – d + 2H L Bar- Hook-line A + E – 0.5 R – d + 18d A + E – 0.5 R – d + 22d A + E – 0.5 R – d + 26d
Q 4 - Hook A + E + 1.5 D + 2H 4 - Hook-Line A + E + 1.5 D + 18d A + E + 1.5 D + 22d A + E + 1.5 D + 26d
R 45 - l Bend If angle with horizontal is 45o or less
A + E
45 - l Bend-line A + E A + E A + E
S 45 - l Bend-hook If angle with horizontal is 45o or less R is 12d or less

A + E + 2H

If the angle is greater than 45o and R exceeds 12d, L to be calculated

45 - l Bend-hook-Line A + E + 18d A + E + 22d A + E + 26d
T C Bend-hook If angle with horizontal is 45o or less

A + B + C + H -2(R + d)

If the angle is greater than 45o and R exceeds 12d, L to be calculated

C Bend-hook-line A + B + C + 9d -2(R + d) A + B + C + 11d -2(R + d) A + B + C + 13d -2(R + d)
U U type Bend L + 2H U type Bend LIne L + 18d L + 22d L + 26d
V 4B- bend A + E + 2S + 2H + d 4B- bend-link A + E + 2S + 18d + d A + E + 2S + 22d + d A + E + 2S + 26d + d
W V Bend A + E + 3S + 2d + B +H V bend line A + E + 3S + 2d + 6d + 9d

A + E + 3S + 17d

A + E + 3S + 2d + 7d + 11d

A + E + 3S + 20d

A + E + 3S + 2d + 8d + 13d

A + E + 3S + 23d

X UB bend A + E + C + 2H – √ ( C2 – D2 ) -D UB bend Line A + E + C + 18d – √ ( C2 – D2 ) -D A + E + C + 22d – √ ( C2 – D2 ) -D A + E + C + 26d – √ ( C2 – D2 ) -D
Y 4C Bend E + 2(A – D + C + H) 4C Bend Line E + 2(A – D + C + 9d) E + 2(A – D + C + 11d) E + 2(A – D + C + 13d)
Z 4D Bend L + 2C + 2H 4D Bend Line L + 2C + 18d L + 2C + 22d L + 2C + 26d
AA 4CA Bend 2C + 2E1 + L + 2H 4CA Bend-Line 2C + 2E1 + L + 18d 2C + 2E1 + L + 22d 2C + 2E1 + L + 26d
AB ring+hook 2 (A + E) + 24d ring+hook+Line 2 (A + E) + 24d 2 (A + E) + 24d 2 (A + E) + 24d
AC Ring 2 (A + E) + 20d Ring+Line 2 (A + E) + 20d 2 (A + E) + 20d 2 (A + E) + 20d
AD U-Ring 2A + E + 28d U-Ring+Line 2A + E + 28d 2A + E + 28d 2A + E + 28d
AE Chhaj ring 2A + E + C +12d + B Chhaj ring+line 2A + E + C +12d + 6d

2A + E + C +18d

2A + E + C +12d + 7d

2A + E + C +19d

2A + E + C +12d + 8d

2A + E + C +20d

AF L Straight L L L

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By Krunal Rajput

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Comments

  1. Jayanta says

    11th February 2021 at 9:19 pm

    If any reduce for having 6 bent in a bar of dia 10mm

    Reply

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