Where D²/162 comes from

Steel weighs about 7,850 kg per m³. A bar of diameter d mm has a cross-section of πd²/4 mm², so one metre weighs 7,850 × πd² ÷ 4,000,000 kg. That simplifies to d² ÷ 162.2, rounded to 162 for site use. It's the same figure BS 8666 schedules use, within a fraction of a percent.

Weight per metre by bar size

Barkg per metreTypical use
H60.222Links, mesh
H80.395Links and stirrups
H100.617Stirrups, light slabs
H120.889Slabs and light beams
H161.580Beam and column bars
H202.469Columns, foundations
H253.858Heavy beams, piles
H326.321Heavy columns, piles
H409.877Very heavy foundations

Totalling a bar schedule

For each bar mark: number of bars × length of each × kg/m. Add the marks together, then add an allowance for laps if the schedule doesn't already include them.

MarkBarsEachTotal lengthkg/mWeight
B1 (H12)406.0 m240 m0.889213.3 kg
B2 (H10)604.0 m240 m0.617148.1 kg
Total361.5 kg (0.36 t)

That's the steel to order for the bottom mat of a small slab. Rebar is usually priced per tonne, so 0.36 t × your supplier's rate gives the material cost before cutting and bending.

UK notes

  • UK bars are B500 high-yield steel, marked H on schedules (H12 = 12 mm), to BS 4449.
  • Schedules, shape codes and cutting lengths follow BS 8666.
  • Lap lengths and cover come from the engineer's design (Eurocode 2); don't shorten laps to save steel.