Steel & rebar calculators

Reinforcement is bought by weight, cut to length and detailed to a code — three different units of thought that have to agree. These calculators cover the whole chain: the cutting length of a bent bar including hooks and bend deductions, the lap and development length a code demands, the total weight of a bar schedule in kilograms and tonnes, and the fast steel-per-cubic-metre estimate that tells you whether a quote is plausible before you detail anything.

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Cutting length is not the same as the drawn length

The dimensions on a detail drawing are outside-to-outside; the bar you cut is measured along its centreline. Bend the bar and the steel on the outside of the curve stretches while the inside compresses, so the cut length is always shorter than the sum of the drawn legs. The correction is the bend deduction: about 2d for a 45° bend, 3d for a 90° bend and 4.5d for a 135° bend, where d is the bar diameter. Hooks are added the other way — a standard 135° hook on a stirrup adds roughly 10d per end, with a minimum around 75 mm. Get this wrong on a stirrup and the error repeats across every bar in the beam.

Weight: the number the supplier bills you for

Rebar weight per metre follows d²/162 for kilograms per metre with d in millimetres — a formula worth committing to memory. A 12 mm bar is 0.888 kg/m, a 16 mm bar is 1.58 kg/m, a 20 mm bar is 2.47 kg/m. In imperial, a #4 bar is 0.668 lb/ft and a #5 is 1.043 lb/ft. Multiply the cut length by the count by the unit weight, sum over the schedule, and you have the tonnage to order. Add 3–5% for the off-cuts you cannot reuse; suppliers deliver in stock lengths (typically 12 m), so the practical waste depends on how neatly your cut lengths tile into that stock length.

Lap and development length are code decisions

Development length (Ld) is how far a bar must be embedded to develop its full strength; lap length is how far two bars must overlap to hand the force between them. Both depend on bar diameter, steel grade, concrete grade, bond conditions and whether the bar is in tension or compression — and the three major codes (IS 456, ACI 318, Eurocode 2) reach different numbers from the same inputs. A common thumb rule of 50d for tension laps is a useful sanity check and a poor substitute for the calculation. Never lap all the bars in a section at the same place: stagger the laps, and keep them out of high-moment zones wherever the design allows.

Estimating steel before you have a schedule

At tender stage there is no bar schedule, but there is a concrete volume — and the two are linked by a steel ratio. Typical figures: 80–100 kg/m³ for slabs, 100–150 kg/m³ for beams, 150–220 kg/m³ for columns, 60–90 kg/m³ for footings. Expressed as a percentage of volume, 1% of steel by volume is about 78.5 kg/m³. These ratios are a sanity check, not a design: a heavily loaded transfer beam will blow past them and a lightly loaded raft will sit well below. Use them to spot a quote that is off by a factor, then replace them with a real schedule as soon as the drawings allow.

Common questions

What is the formula for rebar weight per metre?

d²/162, with d the bar diameter in millimetres, giving kilograms per metre. So a 16 mm bar weighs 16²/162 = 1.58 kg/m. It derives from steel's density of 7850 kg/m³ and is accurate for standard deformed bar.

How do I calculate the cutting length of a stirrup?

Add the four legs measured along the centreline, add the hook lengths (about 10d per 135° hook), then subtract the bend deductions (about 3d for each 90° bend). The calculator does this for rectangular, circular, triangular and diamond shapes.

How much lap length do I need for rebar?

It depends on the code, the bar diameter, the concrete grade and whether the bar is in tension or compression. A tension lap of around 50d is a common rule of thumb; run the numbers against IS 456, ACI 318 or Eurocode 2 for the value you can actually put on a drawing.

How much steel is there in a cubic metre of concrete?

Typically 80–100 kg/m³ in slabs, 100–150 kg/m³ in beams, 150–220 kg/m³ in columns and 60–90 kg/m³ in footings. Treat these as tender-stage estimates and replace them with a bar bending schedule once you have the detail drawings.

How much rebar wastage should I allow?

3–5% is normal. The real driver is how well your cut lengths divide into the supplied stock length — a schedule that leaves a 1.4 m off-cut on every 12 m bar wastes far more than the percentage suggests.

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