TAHA Engineering Toolsby TAHA Knowledge Lab

Material Weight

T-Section Weight Calculator

Theoretical weight per metre and total weight of a T-section (tee bar) from its dimensions, including the root radius.

Inputs

T-section: a horizontal flange on top with a vertical stem below, with dimensions h, b, tw, tf and the root radius r marked.bhtftwr
T-section: overall height h, flange width b, stem (web) thickness tw, flange thickness tf and root radius r. Diagram not to scale.

Density used: 7,850 kg/m³ — nominal value used in steel section mass tables, e.g. EN 10210-2 and EN 10219-2 (7.85 kg/dm³).

The fillet between the stem and the flange. Enter 0 for a tee welded from two plates.

Result

Theoretical weight per metre
15.0949
Weight per piece
90.5695
Total weight
90.5695
Cross-section area
19.2292
Density used
7,850
Working
Flange b × tf = 1,000 mm² Web (h − tf) × tw = 880 mm² Root fillets 2 × (1 − π/4) × r² = 42.9204 mm² Area A = 1,922.92 mm² Weight per metre = A × ρ = 0.00192292 m² × 7,850 kg/m³ = 15.095 kg/m

This T-section weighs about 15.0949 kg/m (theoretical). One 6 m piece weighs 90.5695 kg.

Educational estimate — check the assumptions below.

About this calculator

A T-section (tee bar) has one flange and a stem (web). Tees are rolled directly, welded from two plates, or cut from an I- or H-beam along the middle of its web. This calculator works out the theoretical weight from the dimensions you enter, including the two root fillets where the stem meets the flange.

Formula

A = b tf + (h − tf) tw + 2 (1 − π/4) r²    m′ = A × ρ

h = overall height, b = flange width, tw = stem thickness, tf = flange thickness, r = root radius. A tee cut from a beam has exactly half the beam’s area when h is half the beam depth.

Worked example

A tee 120 mm high with a 100 mm flange, 8 mm stem, 10 mm flange and 10 mm root radius, in steel:

  • Flange: 100 × 10 = 1000 mm²; stem: (120 − 10) × 8 = 880 mm²; fillets: 2 × (1 − π/4) × 10² = 42.9 mm²
  • A = 1922.9 mm² = 19.23 cm² → 15.09 kg/m; a 6 m piece weighs 90.6 kg

Assumptions and limitations

  • Theoretical (geometric) weight = area × density. Real bars differ within rolling or cutting tolerances.
  • Flange and stem of constant thickness; outside corners and the stem tip are sharp. Rolled tees with tapered or rounded tips (e.g. EN 10055) differ slightly.
  • For a tee cut from a beam, enter half the beam depth as h; the cutting loss is not included.
  • No section list is built in: enter the dimensions you have.

References

  • EN 10055 — Hot rolled steel equal flange tees with radiused root and toes: dimensions (for comparison).
  • Steel makers’ section tables for beams, for tees cut from I- and H-sections.