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

What Is Bar Bending Schedule?

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

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LocationMark DesignationSize and TypeNumber Per SetNumber of SetsTotal NumberLengthShape ( All Dimensions Are in Accordance with This Standard Unless Otherwise Stated)
(1)(2)(3)(4)(5)(6)(7)(8)
ColumnC4 4R 25 NMS Road 25 mm54203000Straight
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Bar Bending Schedule Use Formulas

  • 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
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Op-1 of calculation steel weight

  • 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
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Op-2 of calculation steel weight

  • 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
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2. Plan Bar Length 

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

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  • 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 )
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  • 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.
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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 )

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Ref No.Method of Measurement of Bending DimensionsApprox Total Length of Bar (L) Measured Along Centre LineSketch and Dimensions to Be Given in ScheduleApprox Total Length of Bar (L) Measured Along Centre Line - Mild SteelApprox Total Length of Bar (L) Measured Along Centre Line - Medium Tensile Steel
A2A + E + C +9d + B2A + E + C +9d + 6d2A + E + C +9d + 7d2A + E + C +9d + 8d
B4C + 24d4C + 24d4C + 24d4C + 24d
C4C + 20d4C + 20d4C + 20d4C + 20d
D2A + 3D + 22d2A + 3D + 22d2A + 3D + 22d2A + 3D + 22d
E2A + 3D + 22d2A + 3D + 22d2A + 3D + 22d2A + 3D + 22d
FWhere P is not greater than D/5N = Number of complete and fractional turnsD = Internal diaP = Pitch of helixd = Size of barN π (D + d) + 8d-N π (D + d) + 8dN π (D + d) + 8dN π (D + d) + 8d
GL + HL+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
HL + 2HL+2H =L + 2 x (4d+ d+2kd) =L + ( 4d +4d +d) x2 =L + 18dL+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
IL + BL + B =L +4d + kd =L +4d + 2d =L +6dL + B =L +4d + kd =L +4d + 3d =L +7dL + B =L +4d + kd =L +4d + 4d =L +8d
JL + 2BL + 2B =L + 2x (4d + kd) =L +2 x (4d + 2d) =L +12dL + 2B =L + 2x (4d + kd) =L +2 x (4d + 3d) =L +14dL + 2B =L + 2x (4d + kd) =L +2 x (4d + 4d) =L +16d
KWhere C is more than3DA + C + E A + C + E A + C + E A + C + E
LIf angle with horizontal is 45o or less, and R is 12d or lessA + C + E + 18dorL + 18d + C - √ ( C2 - D2 )A + C + E + 22dorL + 22d + C - √ ( C2 - D2 )A + C + E + 26dorL + 26d + C - √ ( C2 - D2 )
MIf angle with horizontal is 45o or less, and R is 12d or lessA + C1 + C2 + E + F +18d orL +C1 + C2 + 18d - √ ( C12 - D12 ) - √ ( C22 - D22 )A + C1 + C2 + E + F +22d orL +C1 + C2 + 22d - √ ( C12 - D12 ) - √ ( C22 - D22 )A + C1 + C2 + E + F +26dorL +C1 + C2 + 26d - √ ( C12 - D12 ) - √ ( C22 - D22 )
NA + E - 0.5 R - d A + E - 0.5 R - d A + E - 0.5 R - d A + E - 0.5 R - d
OA + E - 0.5 R - d + 2BA + E - 0.5 R - d + 12dA + E - 0.5 R - d + 14dA + E - 0.5 R - d + 16d
PA + E - 0.5 R - d + 2H A + E - 0.5 R - d + 18d A + E - 0.5 R - d + 22d A + E - 0.5 R - d + 26d
QA + E + 1.5 D + 2H A + E + 1.5 D + 18d A + E + 1.5 D + 22dA + E + 1.5 D + 26d
RIf angle with horizontal is 45o or lessA + EA + EA + EA + E
SIf angle with horizontal is 45o or less R is 12d or lessA + E + 18dA + E + 22dA + E + 26d
TIf angle with horizontal is 45o or lessA + B + C + 9d -2(R + d)A + B + C + 11d -2(R + d)A + B + C + 13d -2(R + d)
UL + 2HL + 18dL + 22dL + 26d
VA + E + 2S + 2H + dA + E + 2S + 18d + dA + E + 2S + 22d + dA + E + 2S + 26d + d
WA + E + 3S + 2d + B +HA + E + 3S + 2d + 6d + 9dA + E + 3S + 2d + 7d + 11dA + E + 3S + 2d + 8d + 13d
XA + E + C + 2H - √ ( C2 - D2 ) -DA + E + C + 18d - √ ( C2 - D2 ) -DA + E + C + 22d - √ ( C2 - D2 ) -DA + E + C + 26d - √ ( C2 - D2 ) -D
YE + 2(A - D + C + H)E + 2(A - D + C + 9d)E + 2(A - D + C + 11d)E + 2(A - D + C + 13d)
ZL + 2C + 2HL + 2C + 18dL + 2C + 22dL + 2C + 26d
AA2C + 2E1 + L + 2H 2C + 2E1 + L + 18d 2C + 2E1 + L + 22d 2C + 2E1 + L + 26d
AB2 (A + E) + 24d 2 (A + E) + 24d 2 (A + E) + 24d 2 (A + E) + 24d
AC2 (A + E) + 20d 2 (A + E) + 20d 2 (A + E) + 20d 2 (A + E) + 20d
AD2A + E + 28d 2A + E + 28d 2A + E + 28d 2A + E + 28d
AE2A + E + C +12d + B2A + E + C +12d + 6d2A + E + C +12d + 7d2A + E + C +12d + 8d
AFLStraightLLL
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