W1000x539 G40.21 350W — Canadian W-Shape Section Properties

Approximate equivalent of W40X362 per AISC A6. Approx. equivalent of W40X362. Verify against CISC Handbook.

Dimensions (Metric)

Property Value Unit
Depth (d) 1031.2 mm
Flange Width (bf) 406.4 mm
Flange Thickness (tf) 51.1 mm
Web Thickness (tw) 28.4 mm
Cross-Sectional Area (A) 683.9 cm²
Mass 538.7 kg/m

Elastic Section Properties (Metric)

Property Strong Axis (X-X) Weak Axis (Y-Y) Unit
Moment of Inertia (I) 1,202,905 57,440 cm⁴
Elastic Section Modulus (S) 23,270 2,835 cm³
Plastic Section Modulus (Z) 26,875 4,424 cm³
Radius of Gyration (r) 41.91 9.14 cm

Torsional Properties

Property Value Unit
Torsional Constant (J) 4,537 cm⁴
Warping Constant (Cw) 137,740,500 cm⁶
Distance Between Flange Centroids (ho) 98.04 cm
Effective Radius (rts) 11.00 cm

Imperial Reference

Property Value Unit
Depth (d) 40.60 in
Flange Width (bf) 16.00 in
Area (A) 106.00 in²
Weight 362 lb/ft

Section Profile Summary

Hot-rolled W-shape with Sx = 23,270 cm³. The section is appropriate for primary framing in multi-storey buildings, crane girders, and bridge stringers.

At 1031.2 mm deep and 538.7 kg/m, this is a heavy section for primary framing — transfer beams, long-span roof girders, and major bridge stringers.

Key Design Checks (CSA S16)

Check Formula This Section
Plastic moment Mp = Zx × Fy 9,406 kN·m
Deflection Δ = 5wL⁴/(384EIx) Use Ix = 1,202,905 cm⁴
Torsion St. Venant = GJ/L J = 4,537 cm⁴
Column buckling KL/r → Fcr r_x = 41.91 cm

Design Notes

Verification (CSA S16): All designs using this section must be verified by a licensed Professional Engineer. Before finalizing member selection, check beam-column interaction (P-M), lateral-torsional buckling, serviceability deflections, and all connection limit states. See Engineering Disclaimer.

Worked Example: Retail floor beam — w1000x539

Scenario: Retail space — higher live load for public occupancy per EN 1991-1-1. Simply supported wide flange, 21.7 m span, 2.4 m tributary width. Service loads: 4.5 kPa dead + 5.0 kPa live (22.8 kN/m total).

Given:

Step 1 — Live load deflection:

Δ_LL = 5 w_L L⁴ / (384 E Ix)

Δ_LL = 5 × 12.0 × (21655)⁴ / (384 × 200000 × 12,029,050,000)

Δ_LL = 14.3 mm

Step 2 — Deflection limit (L/300):

Δ_limit = L / 300 = 21655 / 300 = 72.2 mm

Step 3 — Dead + live deflection:

Δ_total = 27.1 mm

Step 4 — Design check:

✓ Live load deflection is within the L/300 limit.

Verify the design moment M*_Ed (from factored loads 1.35G + 1.5Q per CSA S16) does not exceed φMn = 8,466 kN·m. Also confirm shear resistance and bearing details at the supports.

Related Resources

Design Resources


Educational reference only. Verify all section properties against the current CSA S16 Manual and mill certificates before design. Results are PRELIMINARY — NOT FOR CONSTRUCTION.