Bar Bending Schedule Calculator
Calculate cutting length, total length and steel weight for 7 bar shapes — IS 2502 / IS 13920 formulas. Export to Excel or print.
| # | Bar Mark | Member | Shape | Dia | Members | Bars/Mbr | Dim A (mm) | Dim B (mm) | Dim C (mm) | Laps | Cut. Length (m) | Total Length (m) | Bars to Order | Weight (kg) |
|---|
Bar Bending Schedule Formula — D²/162 Explained
Every Bar Bending Schedule relies on two core calculations: the cutting length formula for each bar shape (from IS 2502) and the D²/162 formula for converting bar length into weight in kilograms. Understanding these derivations helps engineers verify their schedules and catch errors before steel reaches the fabrication yard.
= 7850 kg/m³
(IS 800 standard value)
D in metres
= π × D²(mm) / (4 × 10⁶)
= (π/4) × (D/1000)² × 7850
per metre of bar
≈ 1/162
∴ W = D² ÷ 162 kg/m
Given: Rectangular stirrup, A = 300 mm, B = 450 mm, dia = 10 mm, IS 2502 (90° hook), cover = 25 mm
Bend deduction (4 × 90° corners): 4 × 2d = 4 × 20 = 80 mm → 8d = 80 mm
Hook allowance (IS 2502, both ends): 2 × 9d = 2 × 90 = 180 mm
Perimeter: 2 × (300 + 450) = 1500 mm
Cover deduction: 2 × 25 = 50 mm
Cutting length = 1500 − 80 + 180 − 50 = 1550 mm = 1.550 m
Weight per bar = 1.550 × (10² ÷ 162) = 1.550 × 0.617 = 0.957 kg
Steel Bar Weight Chart — 6mm to 32mm (IS 1786)
Reference table for TMT bar weight per metre and per standard 12 m length. Values calculated using the D²/162 formula, which matches tabulated values in IS 1786 and SP 34.
| Diameter (mm) | Weight per metre (kg/m) | Weight per 12 m bar (kg) |
|---|---|---|
| 6 mm | 0.222 | 2.67 |
| 8 mm | 0.395 | 4.74 |
| 10 mm | 0.617 | 7.40 |
| 12 mm | 0.888 | 10.66 |
| 16 mm | 1.580 | 18.96 |
| 20 mm | 2.469 | 29.63 |
| 25 mm | 3.858 | 46.30 |
| 32 mm | 6.321 | 75.85 |
Hook allowances and bend deductions to apply when calculating cutting lengths:
| Diameter (mm) | IS 2502 Hook (9d) mm | IS 13920 Hook (12d) mm | 90° Bend Deduction (2d) mm |
|---|---|---|---|
| 6 mm | 54 | 72 | 12 |
| 8 mm | 72 | 96 | 16 |
| 10 mm | 90 | 120 | 20 |
| 12 mm | 108 | 144 | 24 |
| 16 mm | 144 | 192 | 32 |
| 20 mm | 180 | 240 | 40 |
| 25 mm | 225 | 300 | 50 |
| 32 mm | 288 | 384 | 64 |
| Bend Angle | Deduction (multiples of d) | Example: 10 mm bar |
|---|---|---|
| 45° | 1d | 10 mm |
| 90° | 2d | 20 mm |
| 135° | 3d | 30 mm |
| 180° | 4d | 40 mm |
How to Prepare a Bar Bending Schedule — 5 Steps
A properly prepared BBS reduces material wastage, speeds up fabrication and provides a clear audit trail for quantity surveyors and site engineers.
- Standard reinforcement work: 3–5%
- Complex shapes / many short bars: 5–8%
- Site cutting (no pre-fabrication): 8–10%
- Add extra for couplers or threaded ends: +1–2%
- Default in this calculator: 5%
- IS 2502:1963 — Code of practice for bending and fixing of bars for concrete reinforcement
- IS 13920:2016 — Ductile detailing for seismic resistance
- IS 456:2000 — Plain and reinforced concrete (code of practice)
- IS 1786:2008 — High strength deformed steel bars (TMT)
- SP 34:1987 — Handbook on concrete reinforcement and detailing
Frequently Asked Questions
Cutting Length = 2(A + B) − 8d + Hook Allowance − 2 × Cover
The −8d accounts for four 90° bend deductions (2d each corner). IS 2502 uses 90° hooks with allowance 2 × 9d = 18d added. IS 13920 uses 135° seismic hooks with allowance 2 × 12d = 24d added. Cover is deducted from both ends. For a 300×450 mm stirrup in 10 mm dia with IS 2502 and 25 mm cover: CL = 2(300+450) − 80 + 180 − 50 = 1550 mm.
Weight per metre = (π/4) × (D/1000)² × 7850 kg/m³
= π × 7850 / (4 × 10⁶) × D²
≈ D² / 162 kg/m
where D is the bar diameter in mm and 7850 kg/m³ is the density of steel per IS 800. Total weight = (D²/162) × Total Length in metres.
1. Drawing padhein — Structural drawing se sabhi bar marks, shape, diameter aur dimensions note karein.
2. Global settings set karein — Hook standard (IS 2502 ya IS 13920), cover (mm), standard bar length (12 m) aur rate (₹/kg) set karein.
3. Cutting length calculate karein — Har bar ke liye IS 2502 ka formula use karein. Cover deduct karein, hook allowance add karein, bend deduction hatayein.
4. Total length aur weight nikaalein — Total length = CL × no. of bars × no. of members. Weight = Total length × D²/162.
5. Export ya print karein — Excel export ya A4 print option use karein site aur procurement ke liye.
Upar diye calculator mein yeh sab automatic calculate hota hai — sirf dimensions enter karein.