🏛️ Reinforced Concrete Column Calculator

Free reinforced-concrete column calculator: concrete volume (cement, sand, gravel, water by f'c), longitudinal rebar and stirrups in kg, and the total material cost — with a live column diagram.

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📊 Concrete mix per m³ by strength (f'c)

Typical dosages per cubic metre of concrete (cement bag = 42.5 kg). They vary by region and materials — the calculator keeps every value editable:

f'c (kg/cm²) Cement (bags) Sand (m³) Gravel (m³) Water (L)
180 (~C16/20)7.00.560.57185
210 (~C20/25)8.40.540.55186
250 (~C25/30)9.20.510.55190
280 (~C28/35)9.70.500.54193

🏗️ Rebar weight per metre (d² / 162)

Diameter 8 mm 10 mm 12 mm 16 mm 20 mm 25 mm
kg/m0.3950.6170.8891.5802.4693.858

📐 How it is calculated

Concrete: V = a × b × H, × (1 + waste), × the mix dosage. Longitudinal steel: length per bar = H + bottom anchorage (40·db) + top anchorage (12·db) + laps (40·db per splice above the 9 m commercial length); weight = bars × length × d²/162. Stirrups: confined ends at the tight spacing + central zone at the wide spacing; each closed tie = 2·((a−2·cover)+(b−2·cover)) + two 135° hooks; weight = positions × tie length × d²/162.

✍️ Worked example

Column 0.30 × 0.30 m, 3 m tall, f'c 210, 4 bars of 12 mm, 8 mm stirrups (confined 0.50 m each end at 10 cm, central at 20 cm), 5% waste. Concrete = 0.30 × 0.30 × 3 = 0.27 m³ → ≈ 2.4 cement bags, 0.15 m³ sand, 0.16 m³ gravel. Longitudinal = 4 × (3 + 0.48 + 0.144) = 14.5 m × 0.889 ≈ 13.5 kg. Stirrups: 6 + 6 at the ends + 9 central = 21 ties × 1.12 m × 0.395 ≈ 9.8 kg. Total steel ≈ 23 kg.

🌍 Naming around the world

Column = columna / pilar = Stütze / Pfeiler · Rebar = acero de refuerzo / fierro = Bewehrung / Bewehrungsstahl · Stirrup = estribo = Bügel · Confined zone = zona de confinamiento = Verbügelungsbereich · Cover = recubrimiento = Betondeckung · Lap splice = empalme / traslape = Übergreifungsstoß.

❓ Frequently Asked Questions

How do I calculate the concrete for a column?

Multiply the section by the height: volume = a × b × H. A 0.30 × 0.30 m column, 3 m tall, is 0.27 m³. Add a waste factor (typically 5%) and multiply by the mix dosage for your f'c to get cement bags, sand, gravel and water.

How is the weight of rebar calculated?

Steel weight per metre = d² / 162, with d in millimetres. A 12 mm bar weighs 0.89 kg/m; an 8 mm stirrup weighs 0.40 kg/m. Multiply by the total length of longitudinal bars (including anchorage and laps) and stirrups.

Why are stirrups closer together at the ends of a column?

The ends (the confined zones near beams and the base) take the largest seismic shear and need tighter confinement, so stirrups are spaced ~10 cm there and wider (~20 cm) in the central zone. The calculator counts each zone separately.