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Rebar weight chart

Mass per metre, per 12 m bar and per tonne, for every size in the metric range and for ASTM inch-pound bars. The formula is printed above the table, so any row can be checked in about ten seconds.

Written againstIS 1786ASTM A615

Metric bars

The sizes below are the ones rolled to IS 1786 in India and to BS 4449 across the Gulf. Bars are supplied in 12 m lengths in both markets, so that column is usually the one you want when ordering; the per-tonne count is rounded down, because a merchant will not cut you seven-tenths of a bar.

Every figure is nominal. Rolled steel carries a mass tolerance — commonly ±7% on 6 and 8 mm bars, tightening to ±3% at 20 mm and above — so a weighbridge ticket will not match this table exactly, and is not supposed to.

Nominal mass and area of metric reinforcement bars, 6 mm to 40 mm
BarmmAreamm²Per metrekg/mPer 12 m barkgBars per tonne12 m
6280.2222.66375
8500.3954.74211
10790.6177.40135
121130.88810.6593
162011.57818.9452
203142.46629.5933
254913.85346.2421
286164.83458.0017
328046.31375.7613
3610187.99095.8810
4012579.865118.388
Computed from the formula below at build time, not transcribed. Area is the plain circle area of the nominal diameter; ribs are not counted, which is the convention every standard here follows.

Where the numbers come from

A reinforcement bar is a steel cylinder. Its mass per metre is its cross-sectional area times its density, and every standard on this page agrees that the density to use is 7850 kg/m³.

That is the whole derivation. Rearranged so the diameter can go in as millimetres, it collapses to a single divisor — and that divisor is where the well-known shortcut comes from.

mass per metre  =  area × density
                =  (π/4) · d² · ρ

with d in metres and ρ = 7850 kg/m³

for d in millimetres this rearranges to

     kg/m  =  d² / 162.196…        where 162.196… = 4 000 000 / (π × 7850)

20 mm:   400 / 162.196  =  2.466 kg/m
         × 12 m         =  29.59 kg per bar
         1000 / 29.59   =  33 bars per tonne
Worked for a 20 mm bar. Substitute any diameter in millimetres.

ASTM inch-pound bars

American drawings call out bars by number rather than diameter. Up to #8 the number is the diameter in eighths of an inch, so a #4 is a half-inch bar. Above that the pattern breaks: #9, #10, #11, #14 and #18 were sized to give cross-sections of exactly 1, 1¼, 1½, 2¼ and 4 square inches, and their diameters are whatever produced those areas.

That is why this table is quoted rather than computed. ASTM A615 states the nominal mass, and for the large bars recomputing it from the diameter lands up to 0.2% away from the standard's own figure. On a page meant to be copied, the standard wins.

ASTM A615 bar designations, diameters, areas and nominal mass
BarDiameterinDiametermmAreain²Per footlb/ftPer metrekg/m
#30.3759.520.110.3760.560
#40.50012.700.200.6680.994
#50.62515.880.311.0431.552
#60.75019.050.441.5022.235
#70.87522.220.602.0443.042
#81.00025.400.792.6703.973
#91.12828.651.003.4005.060
#101.27032.261.274.3036.404
#111.41035.811.565.3137.907
#141.69343.002.257.65011.384
#182.25757.334.0013.60020.239
Masses in lb/ft are as published by ASTM A615. The kg/m column is a unit conversion of that published figure — 1 lb/ft = 1.488164 kg/m exactly — and not a second derivation from the diameter.

Using this on an estimate

Take the total cut length of each diameter from the bar bending schedule, multiply by the per-metre figure, and add the sizes together for the tonnage. Laps, hooks and bends belong in the cut length, not in a percentage added afterwards — that is where most disputes over a steel bill start.

What this chart does not include: rolling tolerance, wastage, or the difference between the diameter a bar is sold as and the diameter it measures with the ribs on. None of those is a fixed number, so none of them belongs in a table that gets copied.

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