Quantities & take-off

Steel Weight Take-Off

Build a bill of steel from sections and plates and get tonnage, surface area for painting, and an indicative material cost.

EN 10365DIN 1026-1ISO 6935-2EN 1991-1-1ASCE/SEI 7Metric

Mass per metre for IPE, HEA and HEB is the EN 10365 cross-sectional area times 7850 kg/m³, the way the standard derives the mass it prints; UPN uses the DIN 1026-1 area, and reinforcing bar the ISO 6935-2 Table 2 mass as printed. Plates and geometric shapes are computed from the cross-section, with square corners, at a density you can edit. For I and H sections the painting area deducts the root fillets and reproduces the published surface per metre.

Inputs

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Material, density and cost

Section to scale

Drawn to scale; dimensions in mm.

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Total mass—
Mass per piece—
Mass per metre—
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Cumulative take-off

#SectionDimensions MaterialLength (m) QtyUnit mass (kg) Mass (kg)Area (m²) Remove line

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Units: all dimensions in millimetres, lengths in metres. Masses are shown to two decimals per piece, one decimal for a total, and in tonnes to three decimals above 1000 kg. Nothing is rounded before it is summed.

Convert units: Structural & steel

Questions engineers ask

How is the weight per metre of an IPE or HEA section calculated?

From the EN 10365 table: mass = A × 7850 kg/m³. IPE 200 has A = 28.48 cm², so 28.48 × 0.785 = 22.36 kg/m against the 22.4 the table prints. This calculator reads the table rather than adding up three rectangles: a rolled section is about 4% heavier than that idealisation because of the root fillets, and reading the drawing instead of the table is the usual way to lose that 4%.

What steel density does the take-off use, and can I change it?

7850 kg/m³ for steel. For plates and every geometric shape the density is an input, and the material list cites EN 1991-1-1 Annex A Table A.4 (77.0–78.5 kN/m³) for steel and ASCE/SEI 7-10 Table C3-1 for the other metals; stainless steel is the one entry with no published table traced to it, and it is marked uncited. Rolled sections and reinforcing bar are always steel at 7850 kg/m³, so the material and density fields are switched off for them.

Why are Ø18 and Ø22 bars marked differently from the rest?

Because ISO 6935-2, BS 4449 and ASTM A615M were all checked and none of them tabulates an 18 mm or a 22 mm bar. Those two are computed from the standards' own rule, m = 7.85 × 10⁻³ × π/4·d², and are flagged on screen. Every other diameter is transcribed from ISO 6935-2 Table 2.

Is the painting area a surface area from the model?

No, it is computed from the tabulated dimensions. For IPE, HEA and HEB the painted perimeter is 2h + 4b − 2t_w − (8 − 2π)r, where r is the tabulated root radius: the square outline less the four root fillets. That reproduces the published surface per metre, for example 1.160 m²/m for IPE 300. For UPN only the two root fillets are deducted, not the flange taper or the toe radii, so the figure is slightly high. Tubes and bars are the outside surface only, a plate is both faces and its edges, and no allowance is added for coats, overlap or losses.

Why does a square or rectangular tube read heavier than the supplier's table?

Because the tube is computed with square corners, and a real hollow section has rounded ones. SHS 100 × 100 × 5 reads 14.92 kg/m here, against 14.70 kg/m hot-finished to EN 10210 (corner radii 1.5t outside and t inside), about 1.5% less, and 14.41 kg/m cold-formed to EN 10219 (2t and t), about 3.6% less. Equal angles and tees are likewise sharp-cornered. For procurement of standard hollow sections or rolled angles, use the supplier's tabulated mass.

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